Blake measures the lengths, in inches, of 10 insects. He records the lengths of the insects on this line plot. He adds the lengths of the 3 longest insects.
Answers
Answer: 5 inches
Step-by-step explanation:
The x's denote the insects measured so the longest insects would be of lengths:
1³/₄ inch, 1³/₄ inch and 1¹/₂ inch.
Adding them together would require converting them to improper fractions first:
7/4, 7/4, 3/2
Pick a denominator that is both denominators' lowest common multiple = 4
Adding them:
Divide the LCM by the denominator of the fraction and multiply the result by the numerator:
= (7 + 7 + 6) / 4
= 20/4
= 5 inches
Related Questions
(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
Answers
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
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How many centiliters are in 0.00005 liters?
0.00005 L = [?] cL in standard form.
Answers
The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.
What is the number of centilitres in 0.00005 litres?Recall that; it follows from metric systems that;
100 centilitres = 1 litres.
On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;
= 0.00005 × 100 centilitres
= 0.005 centilitres.
Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.
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Given the following equation of a line x+6y= 3, determine the slope of a line that is perpendicular.
Answers
The slope of a line that is perpendicular to the given line x + 6y = 3 is 6.
To determine the slope of a line that is perpendicular to the given line, we need to find the negative reciprocal of the slope of the given line.
The equation of the given line is x + 6y = 3.
To find the slope of the given line, we can rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope:
x + 6y = 3
6y = -x + 3
y = (-1/6)x + 1/2
From the equation y = (-1/6)x + 1/2, we can see that the slope of the given line is -1/6.
To find the slope of a line that is perpendicular, we take the negative reciprocal of -1/6.
The negative reciprocal of -1/6 can be found by flipping the fraction and changing its sign:
Negative reciprocal of -1/6 = -1 / (-1/6) = -1 * (-6/1) = 6
Therefore, the slope of a line that is perpendicular to the given line x + 6y = 3 is 6.
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Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. Stocks pay 6.7 % interest, bonds pay 2.5 % interest, and CDs pay 5.75 % interest. Maricopa Success invests $ 10000 more in bonds than in CDs. If the annual income from the investments is $ 6977.5 , how much was invested in each account?
Maricopa Success invested $ in stocks.
Maricopa Success invested $ in bonds.
Maricopa Success invested $ in CDs.
Answers
Answer:
stocks: $45000bonds: $55000CDs: $45000Step-by-step explanation:
You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.
SetupWe can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...
s + b + c = 145000b - c = 100000.067s +0.025b +0.0575c = 6977.50SolutionThese equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.
We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...
stocks: $45000bonds: $55000CDs: $45000__
Additional comment
Using b = c +10000, the two remaining equations are ...
s +2c = 1350000.067s +0.0825c = 6727.50<95141404393>
need some help on this problem
Answers
The equation is 3y / 3 = 2y / y. And the value of 'y' will be 2.
The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The equation is given as,
3y / 3 = 2y / y
Simplify the equation, then we have
3y / 3 = 2y / y
3y / 3 = 2
y = 2
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Mike made a 9-inch sub sandwich. He needs to cut it into 2/3 inch pieces. How many pieces will he be able to cut?
Answers
Divide total length by cut length:
9 / 2/3
= (9 x 3)/2 = 27/2 = 13.5
He can cut 13 pieces
You start at (0,-4). You move left 1 unit and right 4 units. where do you end?
Answers
If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)
Calculating the endpoint of the pointFrom the question, we have the following parameters that can be used in our computation:
Start = (0, -4)
Also, we have
You move left 1 unit and right 4 units
Mathematically, this can be expressed as
(x, y) = (x - 1 + 4, y)
Substitute the known values in the above equation, so, we have the following representation
Endpoint = (0 - 1 + 4, -4)
Evaluate the expression
Endpoint = (3, -4)
Hence, the endpoint is (3, -4)
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Find the maximum value of s = xy + yz + xz where x+y+z=9.
Answers
From the constraint, we have
\(x+y+z=9 \implies z = 9-x-y\)
so that \(s\) depends only on \(x,y\).
\(s = g(x,y) = xy + y(9-x-y) + x(9-x-y) = 9y - y^2 + 9x - x^2 - xy\)
Find the critical points of \(g\).
\(\dfrac{\partial g}{\partial x} = 9 - 2x - y = 0 \implies 2x + y = 9\)
\(\dfrac{\partial g}{\partial y} = 9 - 2y - x = 0\)
Using the given constraint again, we have the condition
\(x+y+z = 2x+y \implies x=z\)
so that
\(x = 9 - x - y \implies y = 9 - 2x\)
and \(s\) depends only on \(x\).
\(s = h(x) = 9(9-2x) - (9-2x)^2 + 9x - x^2 - x(9-2x) = 18x - 3x^2\)
Find the critical points of \(h\).
\(\dfrac{dh}{dx} = 18 - 6x = 0 \implies x=3\)
It follows that \(y = 9-2\cdot3 = 3\) and \(z=3\), so the only critical point of \(s\) is at (3, 3, 3).
Differentiate \(h\) again and check the sign of the second derivative at the critical point.
\(\dfrac{d^2h}{dx^2} = -6 < 0\)
for all \(x\), which indicates a maximum.
We find that
\(\max\left\{xy+yz+xz \mid x+y+z=9\right\} = \boxed{27} \text{ at } (x,y,z) = (3,3,3)\)
The second derivative at the critical point exists
\($\frac{d^{2} h}{d x^{2}}=-6 < 0\) for all x, which suggests a maximum.
How to find the maximum value?Given, the constraint, we have
x + y + z = 9
⇒ z = 9 - x - y
Let s depend only on x, y.
s = g(x, y)
= xy + y(9 - x - y) + x(9 - x - y)
= 9y - y² + 9x - x² - xy
To estimate the critical points of g.
\($&\frac{\partial g}{\partial x}\) = 9 - 2x - y = 0
\($&\frac{\partial g}{\partial y}\) = 9 - 2y - x = 0
Utilizing the given constraint again,
x + y + z = 2x + y
⇒ x = z
x = 9 - x - y
⇒ y = 9 - 2x, and s depends only on x.
s = h(x) = 9(9 - 2x) - (9 - 2x)² + 9x - x² - x(9 - 2x) = 18x - 3x²
To estimate the critical points of h.
\($\frac{d h}{d x}=18-6 x=0\)
⇒ x = 3
It pursues that y = 9 - 2 \(*\) 3 = 3 and z = 3, so the only critical point of s exists at (3, 3, 3).
Differentiate h again and review the sign of the second derivative at the critical point.
\($\frac{d^{2} h}{d x^{2}}=-6 < 0\)
for all x, which suggests a maximum.
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Find the common difference of the arithmetic sequence 14,7,0 ....
Answers
Answer:
Step-by-step explanation:
the formula for common difference is
d = aₙ - aₙ₋₁
So,
d = a₂-a₁ = a₃-a₂
d =7-14 & d=0-7
d = -7 & d = -7
Will mark Brainlest help please (find the value of x or theta) step by step
Answers
Answer:
Step-by-step explanation:
BC=\(\sqrt{5^2+5^2}\)
x =\(\sqrt{50}\)
x = 5\(\sqrt{2}\)
tan theta= 5/5
theta= tan^-1 (5/5)
=45°
Step-by-step explanation:
BC=\sqrt{5^2+5^2}52+52
x =\sqrt{50}50
x = 5\sqrt{2}2
tan theta= 5/5
theta= tan^-1 (5/5)
=45°
La distancia entre la tierra y el sol es de 1,5 . 10˄8 km, la distancia entre la Tierra y Júpiter es de 9,3 . 10˄8 km y Neptuno está situado a 4.500.000 000 Km del Sol.
a) Expresa en notación científica la distancia del sol a Neptuno
b) Calcula la distancia a la que está situado Júpiter respecto al Sol
3) Calcula cuantas veces es mayor la distancia del Sol a Neptuno que la que hay a la Tierra.
Answers
a) La distancia del Sol a Neptuno en notación científica es 45 x 10^8 km.
b) Júpiter se encuentra a 930.000.000 kilómetros del Sol.
c) La distancia del Sol a Neptuno es 30 veces mayor que la que hay a la Tierra.
Dado que la distancia entre la tierra y el sol es de 1,5 . 10˄8 km, la distancia entre la Tierra y Júpiter es de 9,3 . 10˄8 km y Neptuno está situado a 4.500.000.000 Km del Sol, para determinar:
a) Expresa en notación científica la distancia del sol a Neptuno
b) Calcula la distancia a la que está situado Júpiter respecto al Sol
c) Calcula cuantas veces es mayor la distancia del Sol a Neptuno que la que hay a la Tierra.
Deben realizarse los siguientes cálculos:
a)
4.500.000.000 = 45 x 100.000.000 100.000.000 = 10^84.500.000 = 45 x 10^8b)
9.3 x 10^8 = X100.000.000 = 10^89.3 x 100.000.000 = X930.000.000 = Xc)
Tierra = 150.000.000Neptuno = 4.500.000.000150 = 14.500 = X4500 / 150 = X30 = XAprende más en https://brainly.com/question/19448247
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
What is 9.1% of 80? Round to the nearest hundredth (if necessary).
Answers
Answer:
7.28
Step-by-step explanation:
Answer: 7.28
Step-by-step explanation:
What is the length of the hypotenuse of the triangle?
Answers
Answer:
C 9\(\sqrt{2}\)
Step-by-step explanation:
Please help ive been stuck on this question all weekend long !!
Answers
Answer:
The answer is 57.
Step-by-step explanation:
You have to substitute w = 2 into the expression :
\(8 {w}^{2} + 8w + 9\)
\(let \: w = 2\)
\(8 {(2)}^{2} + 8(2) + 9\)
\( = 32 + 16 + 9\)
\( = 57\)
Answer:
57
Step-by-step explanation:
\(8*2^{2}+8*2+9\\8*4+16+9\\32+16+9\\48+9\\57\)
Assuming a terminal period growth rate of 2%, a discount rate (WACC) of 8%, common shares outstanding of 814.3 million, and net nonoperating obligations (NNO) of $1,676 million, estimate the value of a share of Stellar common stock using the discounted cash flow (DCF) model as of December 31, 2017.
Answers
As a result, for the NOA for 2014 to equal the share value comes out to be $31.60.
What is discounted cash flow (DCF) model?A financial technique known as discounted cash flow (DCF) valuation uses projected cash flows to assess the value of an investment. The foundation of a DCF model is the assumption that a company's value is based on its ability to produce future cash flows for its owners.
Here,
If we take, NOA for 2014 as $102, we get share price as follows:
Horizon Period
by millions 2013–2014–2015–2016–2017–Terminal Period reported
NOPAT 1,292.00 1,563.00 1,891.00 2,288.00 2,768.00 2,824.00
NOA 10,007.00 102.00 14,643.00 17,718.00 21,439.00 21,868.00
Increase in NOA -9,905.00 14,541.00 3,075.00 3,721.00 429.00
Free Cash Flow (NOPAT - Increase in NOA) [A] 11,468.00 -12,650.00 -787.00 -953.00 2,395.00
Present Value Factor [B] 0.92593 0.85734 0.79383 0.73503
Present Value of Horizon Free Cash Flow (A*B) 10,618.57 -10,845.35 -624.74 -700.48
Cumulative Present Value of Horizon Free Cash Flow -1,552.01
Present Value of Terminal Cash Flow 29,339.94
Firm Value 27,787.93
Less Net Nonoperating Obligations 1,676.00
Equity Value (C) 26,111.93
Outstanding Shares (D) 814.30
Value of a Share (C/D) $32.07
As a result, for the NOA for 2014 to equal $31.60, $12,102 rather than $102 should be used.
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Need help on this!!! Pls help!!!
Answers
a) The mean of the data-set is of 2.
b) The range of the data-set is of 4 units, which is of around 4.3 MADs.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.
The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:
Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)
Mean = 2.
The range is the difference between the largest observation and the smallest, hence:
4 - 0 = 4.
4/0.93 = 4.3 MADs.
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Brainlest and points need help math
Answers
Explanation:
14x3.14=43.96in^2
Please I need some answers
Answers
Answer:
The answer is +1 because par is basically 0 and 3-2 would be 1. This means that he is overall shooting 1 over par on the course.
Step-by-step explanation:
HELP ME PLEASE!
Mr. Martinez sells vehicles to 20% of the people that come to the dealership. If 65 people came to the dealership last month, how many vehicles did he sell?
Answers
Answer:
13 vehicles
Step-by-step explanation:
Just solve 20% of 65. "Of" means to multiply, and 20% is just 0.2
So, you would do:
0.2 × 65 = 13 vehicles
Which is the fraction for 33%
Answers
33% in fraction is 33/100.
Please mark as brainliest ~
PLEASE HURRY NEED HELP!!!!!
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.88 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answers
Answer:
80.22
Step-by-step explanation:
Multiple choice: Select the best answer for Exercises 49 to 52. Most people can roll their tongues, but many can’t. The ability to roll the tongue is genetically determined. Suppose we are interested in determining what proportion of students can roll their tongues. We test a simple random sample of 400 students and find that 317 can roll their tongues. The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (a) 0.008. (b) 0.02. (c) 0.03. (d) 0.04. (e) 0.208.
Answers
The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (d) 0.04
The margin of error is a statistic that describes how much random sampling error there is in survey results.
Given in question,
n = 400
p = 317/400
= 0.7925
Confidence Level = 95%
= 0.95
Formula for margin error, E = \(z\sqrt{\frac{p(1-p)}{n} }\)
Confidence level corresponding to 95 % confidence interval, z = 1.96
Therefore,
Margin Error, E = \(1.96\sqrt{\frac{0.7925(1-0.7625)}{400} }\)
= 0.0397
≈ 0.04
Hence, The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is 0.0397 which is closest to 0.04.
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What is the name for the total area of the surface of a solid?prism area net area surface area facial area
Answers
Answer:
Surface Area
Step-by-step explanation:
You are calculating the measurements for the surface of the prism. The interior is volume.
Answer:
Surface Area
Step-by-step explanation:
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answers
Answer:
Step-by-step explanation:
In segment AC, the midpoint is B. If segments AC = 8 AB = 3x-1 find x.
Answers
Answer:
If B is the midpoint, it means
AC=2AB
8= 2(3x-1)
8= 6x-2
8+2= 6x
10= 6x
x= 10/6
x= 1.67
Hope it helps :-)
Use (60° - 45°) = 15° to find the exact value of cos 15º.vaV2 + V6V-V6(b)(c)4(d)4+ V62
Answers
Answer;
\(B\text{. }\frac{\sqrt[]{2}+\sqrt[]{6}}{4}\)Explanation;
Given that;
\((60^0-45^0)=15^0\)Hence;
\(\text{Cos 15}^0=Cos(60^0-45^0)\)According to trigonometry identity;
\(\begin{gathered} Cos(60^0-45^0\text{) = Cos60 Cos45 + Sin60Sin45} \\ Cos(60^0-45^0\text{) }=\frac{1}{2}(\frac{1}{\sqrt[]{2}})+\frac{\sqrt[]{3}}{2}(\frac{1}{\sqrt[]{2}}) \end{gathered}\)Evaluate the result by finding the LCM
\(Cos(60^0-45^0\text{) }=\frac{1+\sqrt[]{3}}{2\sqrt[]{2}}\)Rationalize;
\(\begin{gathered} Cos(60^0-45^0\text{) }=\frac{1+\sqrt[]{3}}{2\sqrt[]{2}}\times\frac{\sqrt[]{2}}{\sqrt[]{2}} \\ Cos(60^0-45^0\text{) }=\frac{\sqrt[]{2}(1+\sqrt[]{3})}{2\cdot2} \\ Cos(60^0-45^0\text{) }=\frac{\sqrt[]{2}+\sqrt[]{6}}{4} \end{gathered}\)Hence the required reusult is;
\(\frac{\sqrt[]{2}+\sqrt[]{6}}{4}\)Lisa paid $43.95 for 16.1 gallons of gasoline. What was the cost per gallon rounded to the nearest hundredth?
Answers
Answer$ 2.73 per gallon
Step-by-step explanation:
The value of log 3 5 × log 25 9 is
Answers
The value of \(log_35 \times log_{25}9\) is 1.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
\(log_35 \times log_{25}9\)
\(log_ab = \frac{logb}{loga}\)
So,
= log 5 / log 3 x log 9 / log 25
= log 5 / log 3 x log 3² / log 5²
\(logm^n = n~logm\)
So,
= log 5 / log 3 x log 3² / log 5²
= (log 5 / log 3) x (2 log 3 / 2 log 5)
= (log 5 / log 3) x (log 3 / log 5)
= 1
Thus,
1 is the value.
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Hello,
I have paid the $29.00 monthly subscription for my son (jalen); I have signed up only to pay the monthly payment. Sorry to say, he does not live with me. I earlier sent you an email explaining the same with no reply from you. So how does he proceed using his information to freely access your program?
Looking forward to hearing from you shortly.
THANKS,
climacus
Answers
Answer:
Step-by-step explanation: