Which option below provides the best description of the relationship between a quadratic parent function and a square root parent function? A. The square root function is the quadratic function reflected across the line y = x, with a limited domain. B. The square root function is the quadratic function reflected across the y-axis. C. The square root function is the quadratic function reflected across the x-axis. D. The quadratic function and square root functions have no inverse.

A Human Resources Manager is hiring new IT talent and is very interested in DOT NET talent. They give a standard exam to candidates for the open positions. The scores on the test are normally distributed with mean of 168 and a known standard deviation of 50.

If they decide to interview those who score above the 70th percentile, the cut off score to be interviewed would be 190.7. Explanation:Given: Mean (μ) = 168Standard deviation (σ) = 50We need to find out the cut off score to be interviewed for the 70th percentile. We can do this with the help of the standard normal distribution table.From the given data, the Z-score is obtained as: z = (X - μ) / σX is the cut-off score.z = (X - μ) / σ0.70 = (X - 168) / 50Solving for X, we get:

X = (0.70 × 50) + 168X = 35 + 168X = 203

This can be done with the help of the formula:

z = (X - μ) / σz = (203 - 168) / 50z = 0.70

The z-score of 0.70 lies between the Z-scores of 0.50 and 0.80. From the standard normal distribution table, the area under the curve between these two Z-scores is 0.2912.This means that 29.12% of the candidates scored between 168 and 203 on the test. Therefore, the cut off score for the 70th percentile would be the score above which only 30% of the candidates scored. This score can be found with the help of the standard normal distribution table as follows:Area to the right of the Z-score = 0.30Z-score = 0.52 (approx.)X = (0.52 × 50) + 168X = 190.7Therefore, the cut off score to be interviewed for the 70th percentile is 190.7.

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Answer:

8) 2.5 meters

9) 56 fluid ounces

Step-by-step explanation:

You need to know all the conversion factors.

Answer:

x should be 11

Step-by-step explanation:

What we know:

The angles shown are 13x + 12, and 2x + 3

The two angles are complementary, which means they equal 180 degrees.

(13x + 12) + (2x + 3) = 180

15x + 15 = 180

15x = 180 - 15

15x = 165

x = 11

Answer:

10 cases

Step-by-step explanation:

We are given the equation: y = -0.25x + 85, where y is the # of cases, and x is the # of students who received the vaccine.

The question asks for the # of cases if 300 students received the vaccine. Since we know that 300 students received the vaccine, we can plug that in for x in the equation above, since x is that unit:

y = -0.25(300) + 85

Now, we can solve:

y = 10

Therefore, there will be 10 cases if 300 students received the vaccine.

Answer:

1/5 or 0.2 (20%).

Step-by-step explanation:

Given:

Tenors 2

Sopranos 9

Altos 20

Basses 14

The total number of singers is:

Total = Tenors + Sopranos + Altos + Basses

Total = 2 + 9 + 20 + 14

Total = 45

Probability = Number of Sopranos / Total Number of Singers

Probability = 9 / 45

Probability = 1/5

Answer:

= 24.

Step-by-step explanation:

-(-5+(-8))-(-9-2)

= -(-5-8)-(-9-2)

= 5 + 8 + 9 + 2

= 13 + 11

= 24

Answer:

Step-by-step explanation:

To find the dimensions of the box with the greatest volume, we need to maximize the volume function, which is given by V(x) = x(12-2x)^2, where x is the length of the side of the square that is cut from each corner.

To do this, we take the derivative of V(x) with respect to x and set it equal to zero to find the critical points:

V'(x) = 12x(12-2x) - 4x(12-2x)^2 = 0

Simplifying this expression, we get:

12x(12-2x)(1-2x) = 0

Therefore, the critical points are x = 0, x = 6, and x = 3. We need to determine which of these values maximizes the volume function.

To do this, we evaluate the volume function at each of these critical points and at the endpoints of the interval [0,6]:

V(0) = 0

V(6) = 0

V(3) = 108

Therefore, the dimensions of the box with the greatest volume that can be made from a 12 cm x 12 cm metal square are 6 cm x 6 cm x 12 - 2(6) = 6 cm x 6 cm x 12 - 12 = 6 cm x 6 cm x 0 cm. In other words, the box has no height because all four sides have been folded up to form the top of the box.

Answer:

TAN!!!!!!!!!!!!

Soh Cah toa

Answer:

-10

Step-by-step explanation:

-4 + (-6)

-4 - 6

-10

if you didnt know, there is always an invisable 1 before the parentheses unless there is a number there. so think about it as -4 + 1(-6). then, -6 times 1 is still -6.

hope this helps!!!

Answer:

The Answer is -10 because

Step-by-step explanation:

You just do pemdas (parentheses, equation, multiplication, division, adding, subtracting) so you obviously start with -6 and add that to -4 which gives you -10 :)

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

Translation down 5 units.

Step-by-step explanation:

The - 5 results in a shift of the whole graph down 5 units.

Each value of g(x) is 5 units less f(x).

100 days should it sample so that the margin of error will be 39.1 tons or less

What is margin error?

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

The margin of error can be stated as

ME = SE⋅cv where cv = z.90 because this corresponds to a two tail test so we need the z value at 90%.

We can now use a look up table to find the corresponding z value to use which should be 1.96

Now

SE = σ/√n  leading to

39.1 = (197/√n)⋅(1.96).

Now we just need to solve for n

√n = (197/39.1)⋅(1.96) = 10

n = 10^2

n = 100

So, we probably need to sample for about 100 days if we want be within that margin of error.

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Answer:

D

Step-by-step explanation:

3*(-7)=(-21)

A constant function is a function that has the same output with different inputs.

The value of f(-7) for the function f(x) = 3 is 3.

A constant function is a function that has the same output with different inputs.

It is a function having the same value of range for different values of the domain.

Example: f(x) = 9

f(1) = 0

f(2) = 6

Domain = inputs = 1, 2

Range = outputs = 9

We have,

f(x) = 3

This is a constant function.

So any value of x will always give the output as 3.

f(-7) = 3.

Thus the value of f(-7) for the function f(x) = 3 is 3.

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Answer:

17,725/14.

Step-by-step explanation:

Let's say that the blank is represented by x.

Since the question asks what is 16.8% of x, we can set up a proportion where 16.8 out of 100 is equivalent to 212.7 out of x. The 100 represents the "whole" number, which corresponds to x. The 212.7 IS the 16.8 of x.

\(\frac{16.8}{100} =\frac{212.7}{x}\)

16.8 * x = 212.7 * 100

16.8x = 21,270

x = 21,270 / 16.8

x = 212,700 / 168

x = 17,725 / 14 = 1,266.071429

To check our work, 1,266.071429 * 0.168 = 212.7.

Hope this helps!

Answer:

16, 25, 36

Step-by-step explanation:

To test the hypothesis that the average time to deliver goods, once the order is placed over the phone, is more than 30 minutes in the population, we can use a one-sample t-test.

The one-sample t-test is used to compare the mean of a sample to a known or hypothesized population mean. In this case, the null hypothesis would be that the population mean delivery time is equal to 30 minutes, and the alternative hypothesis would be that the population mean delivery time is greater than 30 minutes. We would collect a sample of delivery times and calculate the sample mean and standard deviation. We would then use the t-test to determine whether the sample mean is significantly different from the hypothesized population mean of 30 minutes.

Therefore, a one-sample t-test would be the appropriate statistical test to use to test the hypothesis that the average time to deliver goods.

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Answer:

180-78=102

Step-by-step explanation:

The expression that represent the total amount Ilean earned last week is 27(18) + 75  

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total amount Ilean earned last week for working x hours.

Since she worked for 27 hours and earned $75 to design a web page. Hence:

y = 27(18) + 75

The expression that represent the total amount Ilean earned last week is 27(18) + 75  

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Answer:

0.45 percent

Step-by-step explanation:

0.36 divided by 80 and then move decimal 2 places to the right

Answer:

0.45

Step-by-step explanation:

The larger the variance, the more the data are spread out from the mean. This statement is true.

Variance is a statistical measure that quantifies how much the data values are spread out or dispersed from the mean (average) of the dataset. Specifically, it is the average of the squared differences between each data point and the mean.

A larger variance means that the data values are more spread out from the mean, because the squared differences between the data points and the mean are larger on average. This indicates that there is greater variability or diversity in the dataset, and the values are more widely distributed.

Conversely, a smaller variance means that the data values are closer together and closer to the mean. This indicates that there is less variability or diversity in the dataset, and the values are more tightly clustered around the mean.

So, in summary, a larger variance indicates that the data values are more spread out from the mean, while a smaller variance indicates that the data values are closer together and closer to the mean.

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The numbers belonging to the solution set of the given inequality are 26 and 31.

What is an inequality?

An inequality in mathematics is a comparison of two numbers or other mathematical expressions that is unfair. On the number line, size comparisons between two numbers are most frequently made.

We are given an inequality as x + 6 < 38.

Now, we will check all the numbers.

A. 32

32 + 6 < 38

38 < 38

This is not true.

B. 88

88+ 6 < 38

94 < 38

This is not true.

C. 26

26 + 6 < 38

32 < 38

This is true.

D. 70

70 + 6 < 38

76 < 38

This is not true.

E. 44

44 + 6 < 38

50 < 38

This is not true.

F. 31

31 + 6 < 38

37 < 38

This is true.

Hence, the numbers belonging to the solution set of the given inequality are 26 and 31.

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Question: Which number(s) below belong to the solution set of the inequality? Check all that apply

x+6<38

A. 32

B. 88

C. 26

D. 70

E. 44

F. 31

The addition of 11/3 and (-5/6) is about 2.8 which is shown on a number line.

A number line is a representation of real numbers in the form of a graded straight line.

The addition of 11/3 and (-5/6) is:

11/3 + (-5/6)

= 11/3 - 5/6

= (22-5)/6

= 17/6

= 2.8

Hence, the addition of 11/3 and (-5/6) is about 2.8 which is shown on a  number line.

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Answer:

To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction.

Answer:

y = 5x

Step-by-step explanation:

Answer:

B, y= 5x

Step-by-step explanation:

If you look closely to the graph on the "bake sale items" side, when they sold 1 item they earned 5$. And when they sold 5 items they earned 25$. Which would mean every item they sold they get 5$ back which would make it B

Answer:

600

Step-by-step explanation:

x+2x=1800

3x=1800

x=600

Answer:

- 30

Step-by-step explanation:

The 2 numbers are x and 2x and thir product is 1800, that is

x × 2x = 1800

2x² = 1800 ( divide both sides by 2 )

x² = 900 ( take the square root of both sides )

x = ± \(\sqrt{900}\) = ± 30

The 2 numbers are 30 and - 30 with - 30 being the lesser number

Let's solve figure by figure

Figure A

This figure has a total of 5 sides, therefore it is a pentagon.

Figure B

This figure has a total of 8 sides, therefore it is an octagon.

Figure C

This figure has a total of 3 sides, therefore it is a triangle.

According to the answer table, it would be

Pentagon: Figure A

Octagon: Figure B

Hexagon: None

Using the given data and a significance level of 0.01, the p-value for the test of the hypothesis is approximately 0.0151.

To calculate the p-value using Excel, we can first find the test statistic, which follows a t-distribution with degrees of freedom calculated using the formula:

df = (s1^2/n1 + s2^2/n2)^2 / [ (s1^2/n1)^2 / (n1-1) + (s2^2/n2)^2 / (n2-1) ]

where s1 and s2 are the population standard deviations, and n1 and n2 are the sample sizes.

Using the given values, we find that the degrees of freedom are approximately 86.9. Next, we can calculate the test statistic using the formula:

t = (x1-bar - x2-bar) / sqrt(s1^2/n1 + s2^2/n2)

which gives us a value of approximately -1.906. Finally, we can find the p-value using the Excel function T.DIST.RT, which calculates the right-tailed probability of a t-distribution. The formula for the p-value is:

p-value = T.DIST.RT(t, df)

Using Excel, we can enter the formula =T.DIST.RT(-1.906, 86.9) to find that the p-value is approximately 0.0151.

In conclusion, based on the given data and a significance level of 0.01, we can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the true population mean of the first sample is less than the true population means of the second sample. The p-value of 0.0151 indicates that this conclusion is unlikely to be due to random chance alone.

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Answer: 9/1

Step-by-step explanation: