standardized exam's scores are normally distributed. In a recent year, the mean test score was 1454 and the standard deviation was 316. The test scores of four students selected at random are 1840,1190,2160, and 1340 . Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1840 is (Round to two decimal places as needed.)

The numerical length of the line segment FG is 10 units.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Point G is on FH, hence:

FH = FG + GH

Given that GH = 8, FH = 3x + 3, FG = 2x, hence:

3x + 3 = (2x) + 8

x = 5

FG = 2x = 2(5) = 10

The numerical length of the line segment FG is 10 units.

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Answer:

1/10

Step-by-step explanation:

The probability of flipping heads is 1 out of 2 or 1/2

The probability of getting a 5 on the spinner is 1/5

The probability of getting both is 1/2  *  1/5 = 1/10

You should try this out by listing all the ways this can happen.

Spinner         Coin

1                     H

2                    H

3                    H

4                    H

5                    H

1                     T

2                    T

3                    T

4                    T

5                    T

There are 10 ways of this problem giving results. Only 1 of them is correct.

Answer:

12

Step-by-step explanation:

Answer:

If you are on delta math its 28.6

Step-by-step explanation:

The transformations that maps polygon jklm to polygon nopq are described as follows:

C. Reflection across the y-axis, translation 2 units left and 6 units up, dilation with center (0,0) and scale factor 1/2.

The first transformation was a reflection, changing the orientation of the polygon.

Due to the orientation assumed with the equivalent vertices, NL, KO, PJ and MQ, the reflection was over the y-axis, with vertex O assuming coordinates (2,-2).

Since vertex O is at the y-axis, the polygon was translated 2 units left and 6 units up, with O assuming coordinates (0, 4).

The final coordinates of O are (0,2), hence the polygon was dilated with a scale factor of 1/2, as 4 x 1/2 = 2, which is the final y-coordinate of O.

The problem is incomplete, and the complete problem is given by the image at the end of the answer.

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In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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Answer:

D The rate of change is greater for Function B than for Function A

Step-by-step explanation:

A function shows the relationship between a dependent variable and an independent variable. A linear function is given as y = mx + b, where m is the rate of change, y is the dependent variable, x is the independent variable and b is the value of y when x = 0.

Function B is given by y = 3x + 2. Comparing with y =mx + b gives m = 3. Therefore the rate of change of function B is 3.

Function A has x: 0, 3, 9 and y:3, 9, 13. Using the points (0,3) and (3, 9), we an get the equation of the function. The formula is:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{9-3}{3-0}(x-0)\\ \\y-3=2x\\\\y=2x+3\)

Function A is given by y = 2x + 3. Comparing with y =mx + b gives m = 2. Therefore the rate of change of function A is 2.

The rate of change is greater for Function B than for Function A

Answer:

\(\frac{dy}{dx}\) = - \(\frac{18x}{(3x^2+1)^4}\)

Step-by-step explanation:

Differentiate using the chain rule

Given

y = f(g(x)) , then

\(\frac{dy}{dx}\) = f'(g(x) × g'(x)

Given

y = \(\frac{1}{(3x^2+1)^3}\) = \((3x^2+1)^{-3}\) , then

\(\frac{dy}{dx}\) = - 3\((3x^2+1)^{-4}\) × \(\frac{d}{dx}\) (3x² + 1 )

    = - 3\((3x^2+1)^{-4}\) × 6x

    = - \(\frac{18x}{(3x^2+1)^{4} }\)

Answer:

104°

Step-by-step explanation:

In order to find out the value of x we must figure out the other angles. The line on the extended side adds up to 180 degrees. Use that information to find the other angle.

180 - 128 = 52

The one angle is 52. Then, we know that a triangles angles always add up to 180 degrees as well. So create an equation:

180 - 52 - 24 = 104

Answer:

y = -7x + 16 and y = -2x - 9

Step-by-step explanation:

Of the five equations the only ones that exist at the point, (5, -19) are y = - 7x + 16 and y = -2x - 9 (Test them out yourself!).

Hope this helps :)

Answer:

19

Step-by-step explanation:

Adriana needs to send 232 invitations to her family and friends for her party.

There are 12 invitations in a box.

We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :

\(x=\dfrac{232}{12}\\\\x=19.34\)

or

x = 19

So, she will need approx 19 boxes.

Answer:

hi you can solve this sum by 4×side formula

Step-by-step explanation:

plz solve and check you equation

Answer:

10 is the y-intercept

Step-by-step explanation:

Since the linear equation is -2 every time the x gets larger, that means it would be plus 2 every time the x gets smaller. The y-intercept is when x = 0 so to get from 1 to zero we subtract 1, then we add 2 to the y which gets us 10.

Hope this helps!

:)

The value of the derivative of D at t = 8 is equal to -0.5 is At 8 a.m. the water level decreased at a rate of 0.5 meters per hour.

A function that has a derivative at each point in its domain is referred to as a differentiable function of one real variable in mathematics.

In other words, a graph of a differentiable function has a non-vertical tangent line at each interior point in its domain. A differentiable function has no break, angle, or cusp and is smooth (it is locally well approximated as a linear function at each interior point).

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Answer:

YZ=16

Step-by-step explanation:

Because they are parallel

The answer is C.) The model is not a good fit.

The average rate of change is D. 2.

The average rate of change simply means the measure of how the function will change let unit of time.

In this case, it is important to look at the input and the output that wee given. It can seen that the difference between the output is given as:

13 - 11 = 2

15 - 13 = 2

In this case, the average change is 2.

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Answer:

2.5

Step-by-step explanation:

radius is half the diameter

Answer:

The radius is 1 km.

Step-by-step explanation:

c =2\(\pi\)r

6.28 = 2(3.14)r

6.28 = 6.28r  Divide both sides by 6.28

1 = r

The radius is 1 km.

Helping in the name of Jesus.

We know that the formula for circumference is:

C = 2πr

where C is the circumference and r is the radius.

Substituting the given value for C:

6.28 km = 2πr

Dividing both sides by 2π:

r = 6.28 km / 2π

r ≈ 1 km

Therefore, the radius of the circle is approximately 1 kilometer.

Twenty people are to be divided into two teams with ten players on each team, number of ways this be done is 92378  

Combinations:

In mathematics, combination is the process of choosing a number of items from a given group of objects.

The combination of n things in 'a' time without repetition is given by

Here we have,

Twenty people need to be divided into two teams with ten players on each team  

The total number of ways that can be chosen is 10 people from a group of 20 people = ²⁰C₁₀  

= 20!/10!(20 - 10)!

= 20!/ 10! 10!

= 184756  

As we know need to divide them into 2 groups

The number of ways that can be done = 184756/2 = 92378  

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After calculating the total cost, it can be obtained that the shopkeeper returned Rs \(205\) in changes.

The total cost will be the sum of the costs of each product.

Here, given that \(3\) gel pens are bought at Rs \(25\) each. So, the cost of these \(3\) gel pens is \(25\times 3=\text{Rs}\hspace{1mm}75\).

Also, \(6\) pencils are bought at Rs \(10\) each. So, the cost of these \(6\) pencils is \(10\times 6=\text{Rs}\hspace{1mm}60\).

Also, given that \(2\) boxes are bought at Rs \(80\) each. So, the cost of these \(2\) boxes is \(80\times 2=\text{Rs}\hspace{1mm}160\).

Thus, the total cost of all the products bought is \(75+60+160=\text{Rs}\hspace{1mm}295\).

So, if Rs \(500\) were given to the shopkeeper, then he should have return \(500-295=\text{Rs}\hspace{1mm}205\) in changes.

Therefore, after calculating the total cost, we have obtained that the shopkeeper returned Rs \(205\) in changes.

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Answer:

$432

Step-by-step explanation:

$450 divided by 100% time 20% = $90

450 + 90 = 540$

Then 540 divided by 100% time 20% = $108

$540 - $108 = $432

The final price is $432

You have to solve the following equation

After you use the quadratic formula you would get

t=2.2

That would be the final answer

t=2.2

Answer:

10c + 12

Step-by-step explanation:

I believe that is the answer please let me know if I am wrong

Answer:

u sus imposter

Step-by-step explanation:

If the observations are between -5 and 5. two additional observations, 10 and -20, are added to the data set, the sample mean of the new data set of 10 observations is -1.

The sample mean of the original data set is 0, which means that the sum of the observations is 8 * 0 = 0. The median of the original data set is -1.25, which means that the fourth and fifth observations are -1.25 and -1.25, respectively.

The sample variance of the original data set is 9, which means that the sum of the squared deviations from the sample mean is 8 * 9 = 72.

When two new observations, 10 and -20, are added to the data set, the sum of the observations becomes 0 + 10 - 20 = -10, and the number of observations becomes 10.

To find the new sample mean, we need to divide the sum of the observations by the number of observations:

new sample mean = (-10) / 10 = -1

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There are 7 people in Mr. Wilson's class, as Zach is the second person and Mary is the seventh person.

To calculate the total number of people in the class, we can use the formula 2x = 7, where x is the total number of people. Solving for x, we get x = 7.

To determine the number of people in Mr. Wilson's class, we can use the formula for the number of people in a circle, which is N = 2(n-1), where n is the number of people standing opposite each other in the circle. In this case, n is 2 (Zach and Mary). Therefore, N = 2(2-1) = 2 people. However, since there are 7 people in total in the circle, we can conclude that the number of people in Mr. Wilson's class is 7. To explain further, based on the given information, we can say that Zach is the second person, which means there are 2 people before him in the circle. Therefore, there are 7 people in Mr. Wilson's class. To further explain, we can break down the equation as follows: The person opposite of Zach is the seventh person, or 7th, so we can say that 7 is equal to the number of people in the class multiplied by 2, or 2x. Then, solving for x, we get x = 7. This means that the total number of people in the class is 7.

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