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2 years ago

What value has a z-score of -0.67, if the mean is 18 and the standard deviation is 1.68?

1 answer:

7 0

The data point is 1.6 standard deviations above the mean.
Step-by-step explanation:
Z-score
It is the number of standard deviations from the mean that a data point is. It's a measure of how many standard deviations below or above the population mean a raw score is.
A Z-score is also known as a standard score and it can be placed on a normal distribution curve.
As in this case the Z-score is +1.6, so it means the data point is 1.6 standard deviations above the mean. Hope this helps I am kinda knew to this so I hope I helped you

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Subtract the polynomials.

Mama L [17]

Answer:

Step-by-step explanation:

Given

(4x² - 3x - 4) - (3x² + 4x - 8) ← distribute by - 1

= 4x² - 3x - 4 - 3x² - 4x + 8 ← collect like terms

= x² - 7x + 4 → B

8 0

3 years ago

Read 2 more answers

How do I solve this systems of three equations problem?

Serhud [2]

Answer:

You have to eliminate one of the variables when the equations are added.

A) x + 2y + z = 10

B) 2x -y +3z = -5

C) 2x -3y -5z = 27

We mulutiply A) by 2 then add it to B and C

A) 2x + 4y + 2z = 20 and the sum =

6x = 42 Luckily, the "y" and "z" variables cancel out and we find:

x = 7

Then we use x =7 in calcucating equation A) and B)

A) 2y + z = 3

B) -y + 3z = -19

THEN solve for y and z by eliminating variables.

Step-by-step explanation:

3 0

3 years ago

For a class project, Henry needs to know how many students at M College think that

grandymaker [24]

The estimated number of students at the M College who agree climate change is a serious issue is 1759

The percentage of total students is 59.42%

The method used can be biased.

<h3>How many students believe climate change is a serious issue?</h3>

The students surveyed are the sample while the students in the M College are the population. A population is the party of interest in an experiment. A population consists of all the members of the group. A sample is a smaller group of the population.

The limitation of using a sample to estimate for the population is that the sample might be a biased estimate of the population. If the sample is biased, the result of the experiment would be inaccurate.

Estimated number of students at M College = (sample that agree that climate change is a serious problem / total number of people surveyed) x number of students

(205 / 345) x 2960 = 1759

Percentage = (1759 / 2960) x 100 = 59.42%

To learn more about surveys, please check: brainly.com/question/11657686

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5 0

1 year ago

A dilation has center (0, 0, 0). Find the image of the point (-1, -2, 0) for the scale factor 3.

ikadub [295]

Answer:

(-3, -6, 0)

Step-by-step explanation:

3(-1) = -3

3(-2) = -6

3(0) = 0

6 0

3 years ago

Find the volume of the ellipsoid x^2+y^2+9z^2=64

yuradex [85]

Parameterize the ellipsoid using the augmented spherical coordinates:

$\begin{cases}x=\frac18\rho\cos\theta\sin\varphi\\\\y=\frac18\rho\sin\theta\sin\varphi\\\\z=\frac38\rho\cos\varphi\end{cases}$

Then the Jacobian for the change of coordinates is

$\mathbf J=\dfrac{\partial(x,y,z)}{\partial(\rho,\theta,\varphi)}=\begin{bmatrix}\frac18\cos\theta\sin\varphi&-\frac18\rho\sin\theta\sin\varphi&\frac18\rho\cos\theta\cos\varphi\\\\\frac18\sin\theta\sin\varphi&\frac18\rho\cos\theta\sin\varphi&\frac18\rho\sin\theta\cos\varphi\\\frac38\cos\varphi&0&-\frac38\rho\sin\varphi\end{bmatrix}$

which has determinant

$\det\mathbf J=-\dfrac3{512}\rho^2\sin\varphi$

Then the volume of the ellipsoid is given by

$\displaystyle\iiint_E\mathrm dx\,\mathrm dy\,\mathrm dz=\iiint_E|\det\mathbf J|\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

where $E$ denotes the spaced contained by the ellipsoid. In particular, we have the definite integral and volume

$\displaystyle\frac3{512}\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=1}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\dfrac\pi{128}$

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3 years ago