Answers
Answer:
n = 7
Step-by-step explanation:
\(Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ \)
Answer:
n = -7 ∪ 7
=> n = |7|
Step-by-step explanation:
S = 12cm = (n + 5) * (n + 5 - 10) / 2
\(S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\\)
Related Questions
.-La familia Juárez es parte de nuestra comunidad educativa, tiene cuatro integrantes; la mama se dedica al comercio y gana S/1000 mensuales, el papa gana semanalmente S/400. Y gastan de la siguiente manera: atentación S/250 por persona; vestimenta S/40 por persona; en servicios de agua y luz S/30 y S/100, respectivamente; paquete de teléfono, internet y cable S/120; gas S/40; alimentación para gallinas S/15 cada mes e higiene personal S/ 20 por persona. Además, en esta situación de pandemia compran cada mes un Kit de Bioseguridad compuesto por: 4 mascarillas de tela, a S/10 cada una; 4 litros de alcohol, a S/8 cada uno, y 3 litros de lejía, a S/5 cada uno. ¿Cuál será el presupuesto mensual de la familia si además recibe S/10 por venta de una docena de huevos? ¿A cuánto asciende el gasto mensual por persona?
Answers
Answer:
a) 201s / 1000
b) 7s / 125 + s / 10 + 7s / 5 + s / 30 + s / 2
Step-by-step explanation:
Total de miembros de la familia = 4
Ganancia de la madre = s / 1000 por mes
Ganancia del papa = s / 40 por semana
Ganancia por venta de huevos = s / 10
Ganancia total por mes = s / 1000 + s / 40 * 4 + s / 10 = s / 1000 + s / 10 + s / 10 = 201s / 1000
Gasto-
Servicio - S / 250 * 4 = 4s / 250
ropa - 4S / 40
servicios de agua - 4S / 30
Electricidad - 4S / 100
paquete de teléfono, internet y cable - S / 120
gas - S / 40
alimento para pollos - S / 15 cada mes
higiene personal 4S / 20
4 mascarillas de tela - 4S / 10
4 litros de alcohol - 4 S / 8
3 litros de lejía - 3S / 5
Gastos totales = 2s / 125 + s / 10 + 2s / 15 + s / 25 + s / 120 + s / 40 + s / 15 + s / 5 + 2s / 5 + s / 2 + 3S / 5
Gasto total = 7s / 125 + s / 10 + 7s / 5 + s / 30 + s / 2
A person climbs many evenly-spaced steps to reach the top of the monument. The graph shows the number of steps a person has climbed and the corresponding height, in meters, of the person above the ground. Which statement best describes the rate of change for the situation? A person's height increases 0.1 meters per step. A person's height increases 0.2 meters per step. A person's height increases 4 meters per step. A person's height increases 6 meters per step.
Answers
Answer:
A person's height increases 4 meters per step.
Step-by-step explanation: You might want to check my answer as well.
The the rate of change of height with number of steps climbing is 0.2 m per steps.
What are mathematics operations?
• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.
• The operation's arity is determined by the number of operands.
• Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.
• A zero-arity operation, also known as a nullary operation, is a constant.
• The mixed product is an example of an arity 3 operation, also known as a ternary operation.
Here, it is given that :
The graph shows the number of steps a person has climbed and the corresponding height, in meters, of the person above the ground.
Now, from the graph is can be observed that :
The person while climbing many evenly-spaced steps to reach the top of the monument he covers 20 steps in to climb 4 m height that is :
20 steps climbing mountains = 4 m increase in height
1 steps climbing mountains = 4/20 m increase in height
1 steps climbing mountains = 0.2 m height
Therefore, the the rate of change of height with number of steps climbing is 0.2 m per steps
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The product of a number x and four decreased
by twelve.
Which of the following is an expression for the
statement above
a/4x+12
b/4(x+12)
c/4(x-12)
d/4x-12
Answers
Step-by-step explanation:
a. increased b. discreased c. increased d. decreased
Suppose that you estimate that lohi corp. will skip its next three annual dividends, but then resume paying a dividend, with the first dividend paid to be equal to $1.00. if all subsequent dividends will grow at a constant rate of 6 percent per year and the required rate of return on lohi is 14 percent per year, what should be its price? a. $6.35 b. $8.44 c. $10.37 d. $12.50 continuing the previous problem, what is lohi's expected capital gains yield over the next year? a. 10.34% b. 11.85% c. 12.08% d. 14.00%
Answers
Lohi Corp.'s expected capital gains yield over the next year is 0.48%.
To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.
To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:
Price = Dividend / (Required rate of return - Dividend growth rate)
In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.
First, let's calculate the present value of the future dividends:
PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3
PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3
PV = 0.877 + 0.769 + 0.675
PV = 2.321
Next, let's calculate the price:
Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV
Price = (1 / (0.14 - 0.06)) + 2.321
Price = (1 / 0.08) + 2.321
Price = 12.5
Therefore, the price of Lohi Corp. should be $12.50.
To calculate the expected capital gains yield over the next year, we need to use the formula:
Capital gains yield = (Dividend growth rate) / (Price)
Capital gins yield = 0.06 / 12.5
Capital gains yield = 0.0048
Convert to percentage:
Capital gains yield = 0.0048 * 100
Capital gains yield = 0.48%
Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.
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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.
To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.
To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:
\(Price = Dividend / (Required rate of return - Dividend growth rate)\)
In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.
First, let's calculate the present value of the future dividends:
\(PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3\)
\(PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3\)
\(PV = 0.877 + 0.769 + 0.675\)
PV = 2.321
Next, let's calculate the price:
\(Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV\)
\(Price = (1 / (0.14 - 0.06)) + 2.321\)
Price = (1 / 0.08) + 2.321
Price = 12.5
Therefore, the price of Lohi Corp. should be $12.50.
To calculate the expected capital gains yield over the next year, we need to use the formula:
\(Capital gains yield = (Dividend growth rate) / (Price)\)
\(Capital gins yied = 0.06 / 12.5\)
Capital gains yield = 0.0048
Convert to percentage:
Capital gains yield = 0.0048 * 100
Capital gains yield = 0.48%
Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.
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Mr. and Mrs. Toliver’s AGI on their jointly filed return is $339,000. Regardless of the number of their children, the Tolivers are not eligible for a child credit. TRUEMr.and Mrs. Casey have two dependent children, ages 3 and 6. The Caseys spent $10,300 for child care this year. Mrs. Casey is employed full-time as an attorney. Mr. Casey is an unpublished novelist who has yet to earn any The earned income credit is only available to low-income taxpayers with dependent children. FALSE
The earned income credit offsets the burden of the federal payroll tax on low-income families and encourages individuals to seek employment rather than to depend on welfare. TRUEMrs. Starling worked for Abbot Inc. from January 1 through September 19. Her salary from Abbot for this period totaled $122,000. Mrs. Starling worked for JJT Inc. from October 1 through December 31. Her salary from JJT
Answers
The first statement is true, as the Tolivers are not eligible for a child credit regardless of the number of their children. However, the second statement is false, as the earned income credit is available to low-income taxpayers with dependent children.
The earned income credit helps to offset the burden of the federal payroll tax on low-income families and encourages individuals to seek employment rather than depend on welfare. Finally, the information about Mrs. Starling's employment does not provide enough information to determine any tax-related implications.
The statement regarding Mr. and Mrs. Toliver not being eligible for a child credit is true. Their Adjusted Gross Income (AGI) is $339,000, which is above the income threshold for eligibility for the child tax credit. The credit phases out for joint filers with AGI over $400,000, and they are not eligible due to their high income.
Regarding the Caseys, the earned income credit (EIC) is only available to low-income taxpayers with dependent children. The EIC helps offset the burden of federal payroll taxes on low-income families and encourages individuals to seek employment instead of relying on welfare. In the case of the Caseys, since Mrs. Casey is employed full-time as an attorney and Mr. Casey is an unpublished novelist with no income, they might not qualify for the EIC as they might not be considered low-income, depending on Mrs. Casey's salary.
Mrs. Starling worked for Abbot Inc. and earned $122,000 during her time there. She later worked for JJT Inc., and her salary from both companies should be combined to determine her total income for the year. Based on the given information, Mrs. Starling's total income can be used to determine her tax liabilities and eligibility for tax credits or deductions.
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What is the theme in from lithuania to the chicago stockyards
Answers
Answer:
Hard work, competition, and sacrifice against the backdrop of intense labor conflict.
i need help someone help pls and thx
Answers
Answer:
Two
Step-by-step explanation:
hope this helps tell me if I'm wrong though
PLEASE HELPPPPPPPPPPP a nuclear disaster at Chernobyl in April 1986, approximately 12,600 kg of radioactive iodine-131 was released into the atmosphere. Iodine-131 is know to decay by half every 8 days. How many kilograms of iodine-131 remained after 24 days?
Answers
Answer:
1575 kg
Step-by-step explanation:
Decay rate formula =
N(t) = No(1/2)^t/t½
No = Initial amount = 12600kg
N(t) = Amount after time t
t½ = half life = 8 days
t = time = 24 days
N(24) = 12600 × (1/2)^24/8
1575kg
(-7x^5/14x)^-3 Simplify
Answers
The simplified form of the given expression, (-7x^5/14x)^-3, is -8x⁻¹²
Simplifying an expressionFrom the question we are to simplify the given expression
From the given information,
The given expression is
(-7x^5/14x)^-3
This expression can be properly written as:
(-7x⁵/14x)⁻³
The expression can be simplified as shown below:
(-7x⁵/14x)⁻³
(-7x⁵)⁻³ / (14x)⁻³
[1 / (-7x⁵)³] / [1 / (14x)³]
[1 / (-7)³ × (x⁵)³] / [1 / (14)³ × (x)³]
[1 / -343 × (x¹⁵)] / [1 / 2744 × x³]
[1 / -343x¹⁵] / [1 / 2744x³]
= [1 / -343x¹⁵] × [2744x³ / 1]
= 2744x³ / -343x¹⁵
= -2744/343 × x³ / x¹⁵
= -8 × x³ / x¹⁵
= -8x³ / x¹⁵
= -8 × x³ ⁻ ¹⁵
= -8 × x⁻¹²
= -8x⁻¹²
Hence, the simplified expression is -8x⁻¹²
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Let A = 2x + 5 and B = x2 - 4x – 1
Find A - B
PLEASE HELP
Answers
First, combine your like terms, 2x, 2x, and -4x, which equals to 0x or x. Then, you add the regular numbers together, +5 and -1, which equals to 4. Now that we have our numbers, our full answer will be x-4.
What is the value of 9 in 968.21?
Answers
Answer:
900
Step-by-step explanation:
If you spell it out it's nine-hundred sixty-eight and twenty one hundredths!
Hope this helps! Please mark brainiest!
An investment adviser has determined that ABCD stock would be an appropriate investment for his client, but only if the price falls from the current level of $50 per share to $35 per share. What MUST the adviser do prior to placing an order to buy ABCD stock for the client's account
Answers
Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.
The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.
Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.
Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.
Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.
By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.
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Solve the system of equations.
y=4x
y = x^2 + 3
A. (-1, -4) and (3, 12)
B. (0, 3) and (1, 4)
C. (1, 4) and (3, 12)
D. (-3, -12) and (-1, -4)
Answers
Answer:(1,4) and (3,12)
Step-by-step explanation
During the month of May there were 130 births, of which 127 were full-term births and three were premature births. There were five newborn deaths. The newborn death rate is
Answers
During the month of May, there were 130 births, of which the newborn death rate is 38.4615.
According to the question,
There were 130 births, of which 127 were full-term births and three were premature births. There were five newborn deaths.
In order to find the newborn death rate we have the formula:
= \(\frac{number of death under 28 days of age }{Total live births in the same year}\) × 1000
= \(\frac{5}{130}\) × 1000
=\(\frac{5000}{130}\)
=38.4615
Hence, the new born death rate is 38.4615.
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having trouble with this, can anyone help?
(equation needs to be put in y=mx+b form)
Answers
Check the picture below.
express 3 4/5 as a percent rounding to the nearest tenth of a per
Answers
Answer:
3.8%
Step-by-step explanation:
if what you meant was percent, then thats your answer
a positively skewed distribution is due to: an extremely small number. an extremely large number. the fact that all data is equal. none of these choices are correct.
Answers
A positively skewed distribution is due to an extremely large number.
What is positively skewed distribution?A positively skewed distribution is a type of distribution in which the majority of the data values are clustered towards the left side of the distribution, with a tail extending to the right. This means that there are relatively more smaller values in the dataset than larger values. In a positively skewed distribution, the mean of the dataset is typically larger than the median, and the mode may not be a good representation of the central tendency of the data. This is because the presence of a long tail on the right-hand side of the distribution pulls the mean towards the higher values, while the median remains closer to the center of the dataset. Some common examples of positively skewed distributions include income distributions, where there are a few extremely high earners that skew the data towards the right, and test scores, where there may be a few students who perform extremely well and pull the average higher than the median.
Here,
A positively skewed distribution occurs when the tail of the distribution extends to the right, and the majority of the data is clustered towards the left side of the graph. This means that there are relatively more smaller values in the dataset than larger values. One common cause of positive skewness is the presence of extremely large values, also called outliers, in the dataset. These large values pull the mean of the dataset towards the right, resulting in the tail of the distribution stretching in that direction.
Therefore, out of the options provided, the correct answer is "an extremely large number."
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please help me i have 5 minutes left: )! ill give Brainliest thanks<3
Answers
PLEASE HELP RIGHT NOW, THIS IS SUPER URGENT
The graph shows the proportional relationship between the number of gems collected and the number of levels that have been completed in a video game.
Graph with x axis labeled game levels and y axis labeled gems collected. A line begins at 0 comma 0 and goes through points 6 comma 450 and 8 comma 600.
Determine the constant of proportionality for the relationship.
p equals 2 over 150
p = 0.0133
p = 75
p = 150
Answers
The constant of proportionality for the graph will be P=75. The correct option is C.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The proportionality of the constant determines the linear relation between two variables. as one increases the another also increases with the same factor.
To calculate the constant of proportionality for the given graph finds the slope of the graph with the points.
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 600 - 450 ) / ( 8 - 6 )
Slope = ( 150 / 2
Slope= 75
Therefore, the constant of proportionality for the graph will be P=75. The correct option is C.
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The question is in the picture
Answers
Answer:
dalam rajah 1 and read the full q that is the ans
Answer:
x = 91° , y = 52°
Step-by-step explanation:
Opposite angles add up to 180°.
Therefore :
1. x° + 89° = 180°
x° = 180° - 89°
x° = 91° #
2. 76° + 2y° = 180°
2y° = 180° - 76°
2y° = 104°
y° = 104° / 2
y° = 52°#
Find the surface are of the rectangular prism below.
Answers
Answer:
The surface of the rectangular prism is 268
Step-by-step explanation:
SA=2B+ph if u use this it will help you as it is the formula for surface area i hope this helps
5 Select all the correct figures. Which figures show starting steps in the construction of an equilateral triangle
Answers
The Figure A and Figure B show starting steps in the construction of an equilateral triangle.
According to the statement
we have to find the correct figure which show the starting steps in the construction of an equilateral triangle.
So, For this purpose, we know that the
Construction of equilateral triangle inscribed in the circle is :
Place your compass point on the paper and draw a circle. (Keep this compass span!)
2. Place a dot, labeled A, anywhere on the circumference of the circle to act as a starting point.
3. Without changing the span on the compass, place the compass point on A and swing a small arc crossing the circumference of the circle.
4. Without changing the span on the compass, move the compass point to the intersection of the previous arc and the circumference and make another small arc on the circumference of the circle.
5. Keep repeating this process of "stepping" around the circle until you return to point A.
6. Starting at A, connect every other arc on the circle to form the equilateral triangle.
By this way we construct a triangle.
And from the given figures
The figure A and B shows the perfect construction because it follows all the construction steps.
So, The Figure A and Figure B show starting steps in the construction of an equilateral triangle.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
Select all the correct figures. Which figures show starting steps in the construction of an equilateral triangle
For more understanding please see the image below.
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1. Farmer planting corn and soybeans. The farmer has a 320 acre farm on which she plants two crops: corn and soya beans. For each acre of corn planted, her expenses are $50 and for each acre of soybeans planted, he expenses are $100. Each acre of corn requires 100 bushels of storage and yields a profit of $60; each acre of soybeans requires 40 bushels of storage and yields a profit of $90. If the total amount of storage space available is 19,200 bushels and the farmer has only $20,000 on hand; Required: a) What are the decision variables of this problem? b) Write the objective function of this problem c) What are the constraint of the problem; Write them; d) Write completed linear programming model for the problem
Answers
Answer:
a) c, s
b) P(c, s) = 60c + 90s
c) c + s ≤ 320
50c + 100s ≤ 20000
100c + 40s ≤ 19200
d) \(c + s+s_1=320\)
\(50c + 100s+s_2=20000\)
\(100c + 40s+s_3=19200\)
Step-by-step explanation:
a) Let c represent the acres of corn planted and s represent the acres of soybeans planted.
the decision variables of this problem are c and s
a) Each acre of corn yields a profit of $60 and Each acre of soybeans yields a profit of $90
The objective function P(c, s) = 60c + 90s
c)
1) The farmer has a 320 acre farm on which she plants two crops: corn and soya beans. The constraint for this problem is:
c + s ≤ 320
2) her expenses are $50 and for each acre of soybeans planted, he expenses are $100. the farmer has only $20,000 on hand. The constraint is:
50c + 100s ≤ 20000
3) Each acre of corn requires 100 bushels of storage and each acre of soybeans requires 40 bushels of storage. the total amount of storage space available is 19,200 bushels, The constraint is:
100c + 40s ≤ 19200
d) We have a total of 3 equations. To balance the equations,we would introduce 4 slack variables: \(s_1,s_2,s_3\)
\(c + s+s_1=320\)
\(50c + 100s+s_2=20000\)
\(100c + 40s+s_3=19200\)
Therefore solving these equations gives
c=140, s=130
P(c, s) = 60c + 90s = 60(140) + 90(130)= $20100
how many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions? (a) length is 6 and the password must contain at least one digit. (b) length is 6 and the password must contain at least one digit and at least one letter.
Answers
The number of ways are = 1867866560
What is permutations and combinations?By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.Here, the differences between permutation and combination are described in detail. Here, we'll talk about both subjects with formulas, examples from everyday life, and questions that have been answered. Students can also work on the Permutation and Combination Worksheet to improve their understanding of this subject and learn shortcuts for answering more questions.According to our question-
The passwords contain only digits and lower-case letters.
Length is 6 and the password must contain at least one digit.
There are 26 lower case and 10 digits.
Total = 26+10=36
Length is 6 and the password must contain at least one digit.
Hence, The number of ways are = 1867866560
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Pls help me quick with this question ( will give brainy for correct )
Answers
The inequality solved for y is:
y ≥ 21/25
How to solve the ienquality for y?To solve an inequality for one variable, we need to isolate that variable.
Here we have:
(8/7)y -1 ≥ (3/7)y - 2/5
Move the terms with y to the left side and the others to the right side.
(8/7)y - (3/7)y ≥ -2/5 + 1
(5/7)y ≥ (3/5)
Now multiply both sides by 7/5, we will get:
y ≥ (3/5)*(7/5)
y ≥ 21/25
That is the solution simplfied.
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Andy Warhol was found to have an IQ of 86 on the Wechsler IQ test. What was his z-score and what does that mean in context?
Answers
The z-score is -0.933 and the interpretation is that Andy's score is -0.933 standard deviations away from the mean.
How to determine the z-score?From the question, the given parameters about the distribution are
Mean value of the set of data = 100
Standard deviation value of the set of data = 15
The actual data value = 86
The z-score of the data value is calculated using the following formula
z = (Actual data - mean value)/standard deviation
Substitute the given parameters in the above equation
z = (86 - 100)/15
Evaluate the difference
z = -14/15
Evaluate the quotient
z = -0.933
This means that the score is -0.933 standard deviations away from the mean.
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Complete question
The Wechsler IQ test is normally distributed with mean 100 points and standard deviation 15 points.
Andy Warhol was found to have an IQ of 86 on the Wechsler IQ test. What was his z-score and what does that mean in context?
Simplify:
M = 4/9 + 11/72
N = 8/15 - 1/3
O = 8/7 + 9/35
P = 3 - 2/10
Q = 11/15 + 1/6
R = 3/4 - 7/10
Answers
Step-by-step explanation:
M = 4/9 + 11/72
M = (4 x 8) / (9 x 8) + 11/72
M = 32/72 + 11/72
M = 43/72
N = 8/15 - 1/3
N = 8/15 - (1 x 5) / (3 x 5)
N = 8/15 - 5/15
N = 3/15
N = (3 x 1) / (3 x 5)
N = 1/5
O = 8/7 + 9/35
O = (8 x 5) / (7 x 5) + 9/35
O = 40/35 + 9/35
O = 49/35
O = (7 x 7) / (7 x 5)
O = 7/5
P = 3 - 2/10
P = (3 x 10) / (1 x 10) - 2/10
P = 30/10 - 2/10
P = 28/10
P = (2 x 14) / (2 x 5)
P = 14/5
Q = 11/15 + 1/6
Q = (11 x 2) / (15 x 2) + (1 x 5) / (6 x 5)
Q = 22/30 + 5/30
Q = 27/30
Q = (3 x 9) / (3 x 10)
Q = 9/10
R = 3/4 - 7/10
R = (3 x 5) / (4 x 5) - (7 x 2) / (10 x 2)
R = 15/20 - 14/20
R = 1/20.
The endpoints of CD are C(-8, -1) and D(2,4). Find the coordinates of midpoint M
Answers
Answer:
M(-3;3/2)
Step-by-step explanation:
substitute in this formula of finding midpoint coordinate:M(x1+x2÷2;y1+y2÷2)
It's the end of the budgeting period for a person and he has $350 left in his budget for car rental expenses. He plans to spend this budget on a sales trip throughout a city. He will rent a car that costs $35 per day and $0.25 per mile and he can spend no more than $350 Complete parts a. through c. below a. Write an inequality describing this situation. Let x = the number of days and let y = the number of miles. The inequality that describes the given situation is (Use integers or decimals for any numbers in the inequality. Do not simplify.)
Answers
Since the person can spend no more than $350, we can write the inequality:
35x + 0.25y ≤ 350
This is the inequality that describes the given situation.
The given situation can be described using an inequality where the sum of the cost of renting the car for x days and the cost of driving y miles should not exceed the available budget of $350.
We can represent the cost of renting the car for x days as 35x, since the car rental costs $35 per day. Similarly, we can represent the cost of driving y miles as 0.25y, since the cost per mile is $0.25.
Therefore, the inequality can be written as 35x + 0.25y ≤ 350. This means that the sum of the cost of renting the car for x days and the cost of driving y miles should not exceed $350, which is the available budget.
In other words, the person can rent the car for a certain number of days and drive a certain number of miles as long as the total cost does not exceed $350.
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According to the empirical rule, ________ will be within two standard deviations of the mean.
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According to the empirical rule, 95% will be within two standard deviations of the mean.
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean. Three-sigma limits that follow the empirical rule are used to set the upper and lower control limits in statistical quality control charts and in risk analysis such as VaR.
The empirical rule is used often in statistics for forecasting final outcomes. After calculating the standard deviation and before collecting exact data, this rule can be used as a rough estimate of the outcome of the impending data to be collected and analyzed.
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