Answers
Answer: x = 40, y = 50
Step-by-step explanation:
By the corresponding angles theorem,
3x - 15 = 1053x = 120 [add 15 to both sides]x = 40 [divide both sides by 3]Thus, because the (3x-15) and (y+25) angles are supplementary,
3x - 15 + y + 25 = 1803(40) - 15 + y + 25 = 180 [substitute x = 40]130 + y = 180 [combine like terms]y = 50 [subtract 130 from both sides]Related Questions
9
2 points
Item 9 is unpinned. Click to pin.
Fill in the blanks by creating the line perpendicular to
y
=
1
3
x
−
3
y=
3
1
x−3 that goes through (-1, -4) in slope intercept form.
FOR YOUR ANSWER, ONLY TYPE NUMBERS.
y =
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x -
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Answer: uhh
Step-by-step explanation:
I really don’t know how to do it.
PLEASE HELP URGENT DUE VERY SOON
Answers
Answer:
y=6x-4
Step-by-step explanation:
The slope-intercept form is y=mx+b
The m in the equation stands for the slope.
The b in the equation stands for the y-intercept.
So you input the y-intercept given to you in the problem, -4, and the slope, 6.
So the equation should be: y=6x-4
Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system
Answers
Answer:
(-4,2)
Step-by-step explanation:
See attachment
what is the sum of all integer values of $x$ such that $\frac{31}{90} < \frac{x}{100} < \frac{41}{110}$ is true?
Answers
\begin{align*}
\frac{31}{90} < \frac{x}{100} &\iff 3100 < 90x < 31\cdot 100 \
\frac{x}{100} < \frac{41}{110} &\iff 100x < 41\cdot 110
\end{align*}
Solving the first inequality, we have $3100/90 < x < 31\cdot 100/90$, or $31/9 < x < 310/9$. Multiplying both sides by $9$ gives $31 < 9x < 310$, so $x$ can be any integer between $32$ and $34$ inclusive.
Solving the second inequality, we have $x < 41\cdot 110/100$, or $x < 45.1$. Since $x$ is an integer, the largest possible value of $x$ that satisfies this inequality is $45-1=44$.
Therefore, the possible values of $x$ are $32, 33, 34,$ and $44$, and their sum is $32+33+34+44=\boxed{143}$.
Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round your answers to two decimal places.)a. 81stb. 19thc. 76thd. 24the. 10 th
Answers
The percentiles for the standard normal distribution
a. 0.93
b. -0.88
c. 0.67
d. -0.65
e. -1.28
To determine the percentiles for the standard normal distribution, use the standard normal distribution table. Percentiles for standard normal distribution are given by the standard normal distribution table.
The standard normal distribution is a special type of normal distribution with a mean of 0 and a variance of 1.
Step 1: Write down the given percentiles as a decimal and round to two decimal places.
For example, for the 81st percentile, 0.81 will be used.
Step 2: Use the standard normal distribution table to find the corresponding z-score.
Step 3: Round off the obtained answer to two decimal places.
a) 81st percentile:
The area to the left of the z-score is 0.81.
The corresponding z-score is 0.93.
Hence, the 81st percentile for the standard normal distribution is 0.93.
b) 19th percentile:
The area to the left of the z-score is 0.19.
The corresponding z-score is -0.88.
Hence, the 19th percentile for the standard normal distribution is -0.88.
c) 76th percentile:
The area to the left of the z-score is 0.76.
The corresponding z-score is 0.67.
Hence, the 76th percentile for the standard normal distribution is 0.67.
d) 24th percentile:
The area to the left of the z-score is 0.24.
The corresponding z-score is -0.65.
Hence, the 24th percentile for the standard normal distribution is -0.65.
e) 10th percentile:
The area to the left of the z-score is 0.10.
The corresponding z-score is -1.28.
Hence, the 10th percentile for the standard normal distribution is -1.28.
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viviana read that preschoolers watch 21 hours of tv each week. she believes that the preschoolers at her school watch less tv than the national average. she also learns that the national distribution for preschoolers watching tv is negatively skewed, and that the population standard deviation is 5 hours. viviana sends a survey home to the parents of 120 preschool children at her school. she discovers that the sample mean for her school is 19 hours. what statistical test should be used to analyze the data?
Answers
The test to use is a single sample t test because we are comparing a single sample mean to a known or hypothesized population mean.
What is a statistical test?A statistical test allows you to make quantitative decisions about a process or processes. The goal is to determine whether there is enough evidence to "reject" a process conjecture or hypothesis. The null hypothesis is the name given to this hypothesis.
The one-sample t-test is a statistical hypothesis test used to see if an unknown population mean differs from a given value.
The one sample t test, also known as the single sample t test, is a statistical hypothesis test used to determine whether the mean calculated from sample data collected from a single group differs from a value specified by the researcher.
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There are three sets. A = {1,2,3}, B = {4,5} and C = {6,7,8}
What is the probability of A∩B∩C
Answers
The three sets are independent sets and the value of the probability of A∩B∩C is: 0
How to determine the probability?The sets are given as:
A = {1,2,3}, B = {4,5} and C = {6,7,8}
The total number of elements in the three sets is:
Total = 8
The number of elements of A∩B∩C is 0, because the sets do not have a common element.
So, the probability of A∩B∩C is:
P = 0/8
Evaluate
P = 0
Hence, the probability of A∩B∩C is: 0
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How can you best describe the outside of one of these objects using polygons? The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.
Answers
The classification of a polygon is described on the basis of the number of sides and vertices of these objects using polygons. It appears to be because the sides and angles appear to be congruent.
The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.
We have to describe,The outside of one of these objects uses polygons, The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.
According to the question,A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides. However, a polygon is considered regular when each of its sides measures equal in length.
A minimum of three line segments is needed to draw any closed figure. The corners or points where two line segments meet each other are known as the vertex of a polygon.
The classification of a polygon is described on the basis of its number of sides and vertices.
For example, a polygon of three sides and three angles is known as a triangle whereas a polygon of four sides and four angles is known as a quadrilateral.
A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides.
However, a polygon is considered regular when each of its sides measures equal in length.
The lengths of each side of a regular hexagon are equal.
The angles of each side of a regular hexagon are equal.
Hence, The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.
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Answer:
6, hexagon, and regular
Step-by-step explanation:
The object has 6 sides, so it is a hexagon
It appears to be regular because the sides and angles appear to be congruent.
public class person { 4. private double salary; 5. public person() { 6. salary = 1000.0; 7. } what type of constructor is illustrated by lines 5 through 7?
Answers
The constructors that have an empty parameter are known as non-parameterized constructors.
What is non-parameterized constructors?
Non-parameterized constructors are those that only have one parameter, which is empty. Depending on the user, they are used to set the object's initial values to either specific constants or default values.
What is a parameterized constructor?
When a constructor takes a certain quantity of parameters, it is referred to as a parameterized constructor. to initialize class data members with unique values.
What does it mean to be parameterized and not?
These methods have a list of parameters or arguments that are passed a value by the caller method.
Methods that are not parameterized: These methods have no parameter list. Without passing any values to the function, the programmer can just call it.
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Videos are displayed at a rate of 60 frames per second. How many minutes of video will fit in a 128 gigabyte memory
Answers
The approximately 16.67 minutes of video will fit in a 128 gigabyte memory.
To calculate how many minutes of video will fit in a 128 gigabyte memory, we need to know the size of each frame. Let's assume that each frame is of equal size. First, we need to convert the memory size from gigabytes to bytes. Since 1 gigabyte is equal to 1,073,741,824 bytes, the memory size becomes:
128 gigabytes * 1,073,741,824 bytes per gigabyte = 137,438,953,472 bytes
Next, we need to calculate the size of each frame. To do this, we divide the memory size by the number of frames:
137,438,953,472 bytes / 60 frames per second = 2,290,649,224.53 bytes per frame
Now, we need to calculate how many frames we can fit in the memory. To do this, we divide the memory size by the size of each frame:
137,438,953,472 bytes / 2,290,649,224.53 bytes per frame = 60,000 frames
Since there are 60 frames per second, we can calculate the duration of the video by dividing the number of frames by 60:
60,000 frames / 60 frames per second = 1,000 seconds
Finally, we convert the duration from seconds to minutes:
1,000 seconds / 60 seconds per minute = 16.67 minutes
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Markus buys an old bike for £50. He cleans it up and sells it for £60. What is his percentage profit?
Answers
At shoes for less a pair of shouts is 15$ less than a pair of boots. Cho purchased two pairs of shoes and three pairs of boots for 150$ How much does a pair of boots cost
A. b-15+b=150
B.2(b-15)+3b=150
C. 3(b-15)+2b=150
D.5b-15=150
What is cost of a pair of boots?
Pleaseeee answer ASAP!!!!!
Answers
The equation that represents the cost of a pair of boots will be; 2(b-15)+3b=150
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.
We are given that for less a pair of shouts is 15$ less than a pair of boots.
Since Cho purchased two pairs of shoes and three pairs of boots for 150$, then;
Let the two pairs of shoes be 2(b-15)
And three pairs of boots for 150$ = 3b
Therefore, the equation will be;
.2(b-15)+3b=150
Hence, the equation that represents the cost of a pair of boots will be; 2(b-15)+3b=150
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what is the percent rate of change in function y = (0.98) ^ x? determine whether the function represents exponential growth or exponential decay
Answers
C. 2%; exponential decay
You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.
The percent rate of change in given function is -2%
The function represents exponential decay.
Given that:The function: \( y = (0.98) ^ x\)To find:Percent rate of change in given function.Is it representing exponential growth or exponential decay?Finding percent rate of change in given function:
For finding this, first find how much the output y changes if we change x from x to x + 1.
Output when x = x: \(y = (0.98)^x\)
Output when x = x+1: \(y = (0.98)^{x+1}\)
Difference in output if x goes from x to x+1: \((0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x\) (this change occurs if we increase input x by 1 unit, thus this also represents the rate)
Rate of change of function per unit increment = \(-0.02 \times (0.98)^x\)
The percentage of rate of change is found as:
\(\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%\)
Thus, the percent rate of change is -2%
The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.
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find the area of the polygon
Answers
Answer:
Area=78m^2
Step-by-step explanation:
4*12=48m^2 <-- The area of a rectangle LxW
12*5=60 60/2=30 <-- The area of a triangle (HxB)/2
30+48=78m^2 Add them together to get the total area
Find the value of X
Please help
Answers
Answer:
Area Under the Curve Calculator: Multiplying Square Roots Calculator
Volume of A Cylinder Calculator: F Distribution Calculator
Normal Distribution Calculator: Cp Calculator
Density Calculator: Probability Density Function Calculator
Ezra deposited $30 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 2 years?
Answers
Answer:
$36.00
Step-by-step explanation:
10% of 30 is 6. Add that to the original amount
Find the coordinates of two points on the given line, and then use those coordinates to find the slope of the line 3x + 5y = 15
Answers
Answer:
slope is -3/5
Step-by-step explanation:
3x + 5y = 15
5y = -3x + 15
y = -3/5x + 3
slope is -3/5
A surveyor wants to conduct a poll to see how many people purchase records at the mall.
Which polling method is likely to be biased?
Polling 30 random people in the mall each day for 5 days.
Randomly polling 500 people in the mall on one day.
Polling every third person in the food court.
Polling every other person that exits the music and entertainment store.
Answers
Answer:
\(\sqrt{7} 2 =x^{8}\)
Step-by-step explanation:
Answer:
the last one since the people in the music and entertainment store are there to only buy records
1. f(x) = x2
• vertex :
• opening of the graph :
• vertex is a ______ point
• equation of axis of symmetry (x=h) :
• range (y≥k) :
Answers
Answer:
Step-by-step explanation:
f(x) = x²
1. Vertex ( 0 ,0)
2) a > 0 , opening upward
3) minimum
4) Axis of symmetry : x = 0
5) Range: y ≥ 0
Which relationships describe angles 1 and 2?
Answers
Answer:
picture?
Step-by-step explanation:
Order the list of numbers from least to greatest.
8.8 × 1021 , 6.2 × 102 , 2.8 × 1021 ,
1.5 × 102 , 5.1 × 1012
6.2 × 102, 1.5 × 102, 5.1 × 1012,
8.8 × 1021, 2.8 × 1021
1.5 × 102, 2.8 × 1021, 5.1 × 1012,
6.2 × 102, 8.8 × 1021
8.8 × 1021, 2.8 × 1021, 5.1 × 1012,
6.2 × 102, 1.5 × 102
1.5 × 102, 6.2 × 102, 5.1 × 1012,
2.8 × 1021, 8.8 × 1021
Answers
Answer:
That's a lot of calculations but to be frank I don't know how to solve this
let p be the price of an item. the unit sales of the item are 200 - 5p. what is the correct formula for the revenue generated by the item?
Answers
The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.
The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:
Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2
The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:
dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20
Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:
Revenue = 200(20) - 5(20^2) = $2000
Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.
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If, in a branching process, the number of offspring of an individual is (0. 5), find
the probability that extinction has occurred by the:
a) first generation
b) second generation
c) third generation
d) fourth generation
e) fifth generation
Answers
a) The probability of extinction occurring in the first generation is (0.5).
b) The probability of extinction occurring in the second generation is 0.25
c) The probability of extinction occurring in the third generation is 0.125
d) The probability of extinction occurring in the fourth generation is 0.0625
e) The probability of extinction occurring in the fifth generation is 0.03125
In a branching process, each individual can either have zero offspring or one offspring with a probability of 0.5. The probability of extinction occurring at each generation is the probability that all individuals have zero offspring, which is equal to \((0.5)^n\), where n is the generation number.
Therefore, the probability of extinction occurring by a certain generation can be calculated by raising 0.5 to the power of the generation number.
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25% of all the cakes a baker makes are fruit cakes. The baker made 5 fruit cakes. What is the total number of cakes the baker made?
Answers
Answer:
so here 25%=5
25×2=50, 5×2=10
50%=10
50%+50%=10+10
100%=20
baker makes total 20 cakes
which one of the following best describes the notion of the significance level of a hypothesis test?The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true
The probability of the type I error
The probability of the type II error
Answers
The Hypothesis test of probability of the type I error is True.
The Hypothesis test probability of the type II error is False.
The notion of the significance level of a hypothesis test is best described by the probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true. This is also known as the "p-value." A significance level is often set beforehand, such as alpha (α) = 0.05, and if the p-value is less than alpha, the null hypothesis is rejected.
The probability of a type I error is related to the significance level. A type I error occurs when the null hypothesis is rejected when it is actually true. The probability of a type I error is represented by alpha (α) and is the level of significance that was set for the test.
The probability of a type II error is the probability of failing to reject a false null hypothesis. It is represented by beta (β) and depends on the sample size, the true value of the parameter being tested, and the level of significance set for the test.
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GIVING 50 POINTS IF YOU CAN ANSWER THIS PROPERLY - Given the following system of inequalities graph, which of these pairs of linear inequalities is correct?
Answers
Answer: its c
Step-by-step explanation: because when ur graphing the inequality the variable is on the opposite side
How deep is the water 31.5 feet from the shore? 05
(10 Points)
Answers
Answer:
This is impossible to answer, unless there is a picture that is not there.
Step-by-step explanation:
A farmer has to enclose a pasture of his cows. he has 640 yards of fencing for the permeter of the field. what are the deminsion of the largest square field he can enclose?
The dimensions of the largest pasture are ___ yards by __ yards
Answers
The dimensions of the largest pasture are 160 yards by 160 yards.
How to find the dimensions of the largest square field the farmer can enclose?The farmer has 640 yards of fencing for the perimeter of the field.
Since it's a square field, all sides are equal in length.
Step 1: We know that the perimeter of a square is given by the formula;
P = 4s,
P is the perimeter
s is the side length.
Step 2: Plug in the given perimeter (640 yards) into the formula:
640 = 4s
Step 3: Solve for the side length s:
s = 640 / 4
s = 160 yards
Dimensions of the largest square field the farmer can enclose is 160 yards.
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find the coordinates of the missing endpoint if m is the midpoint of ab. a(-9, -4) and m(-7, -2.5)
Answers
Answer:
The coordinates of the point b are:
b(x₂, y₂) = (-5, -1)
Step-by-step explanation:
Given
As m is the midpoint, so
m(x, y) = m (-7, -2.5)
The other point a is given by
a(x₁, y₁) = a(-9, -4)
To determine
We need to determine the coordinates of the point b
= ?
Using the midpoint formula
\(\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\)
substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)
\(\left(-7,\:-2.5\right)=\left(\frac{x_2+\left(-9\right)}{2},\:\:\frac{y_2+\left(-4\right)}{2}\right)\)
Thus equvating,
Determining the x-coordinate of b
[x₂ + (-9)] / 2 = -7
x₂ + (-9) = -14
x₂ - 9 = -14
adding 9 to both sides
x₂ - 9 + 9 = -14 + 9
x₂ = -5
Determining the y-coordinate of b
[y₂ + (-4)] / 2 = -2.5
y₂ + (-4) = -2.5(2)
y₂ - 4 = -5
adding 4 to both sides
y₂ - 4 + 4 = -5 + 4
y₂ = -1
Therefore, the coordinates of the point b are:
b(x₂, y₂) = (-5, -1)
find four consecutive integers with the sum of -362.
Answers
Step 1: There are four consecutive integers that add up to - 362
Step 2: Let's write the equation to find the four consecutive integers, as follows:
• Let x to represent the first consecutive integer
,• Let x + 1 to represent the second consecutive integer
,• Let x + 2 to represent the third consecutive integer
,• Let x + 3 to represent the fourth consecutive integer
Therefore,
x + x + 1 + x + 2 + x + 3 = -362
Step 3: Let's solve for x
4x + 6 = -362
Subtracting 6 at both sides:
4x + 6 - 6 = -362 - 6
4x = -368
Dividing by 4 at both sides:
4x/4 = -368/4
x = -92
Step 4: Let's find the four consecutive integers based on x = -92
• x + 1 = -92 + 1 = -91
,• x + 2 = -92 + 2 = -90
,• x + 3 = -92 + 3 = -89
Step 5: The four consecutive numbers that add up to -362 are:
-89, -90, -91 and -92