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kati45 [8]
4 years ago
6

A normally distributed data set with a mean of 35 and a standard deviation of 5 is represented by the normal curve. What is the

z–score corresponding to 45?
Mathematics
1 answer:
kicyunya [14]4 years ago
6 0

Answer:

The z–score corresponding to 45 is z=2.

Step-by-step explanation:

We have a random variable X represented by a normal distribution, with mean 35 and standard deviation 5.

The z-score represents the value X relative to the standard normal distribution. This allows us to calculate probabilities for any given normal distribution with the same table.

The z-score for X=45 can be calculated as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{45-35}{5}=\dfrac{10}{5}=2

The z–score corresponding to 45 is z=2.

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38

Step-by-step explanation:

38

8 0
4 years ago
Find the average rate of change of f(x)=2x-1 from x=-1 to x=2
MrMuchimi

The average rate of change from x = -1 to x = 2 is 2

<u>Solution:</u>

Given function is:

f(x) = 2x - 1

We have to find the average rate of change from x = -1 to x = 2

<em><u>The average rate of change is given as:</u></em>

\text {Average rate of change}=\frac{f(b)-f(a)}{b-a}

<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>

\text {Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}\\\\\text {Average rate of change}=\frac{f(2)-f(-1)}{3}

<em><u>Find f(2) and f( - 1)</u></em>

<em><u>Substitute x = 2 in given function</u></em>

f(2) = 2(2) - 1 = 4 - 1 = 3

<em><u>Substitute x = -1 in given function</u></em>

f( - 1) = 2(-1) - 1 = -2 - 1 = -3

<em><u>Substitute the values in above formula,</u></em>

\text {Average rate of change}=\frac{3-(-3)}{3}=\frac{6}{3}=2

Thus average rate of change from x = -1 to x = 2 is 2

3 0
3 years ago
Find the tangent of the angle indicated by each of the following right angle triangles.
Nataliya [291]

Answer:

56.31 degrees

Step-by-step explanation:

6 = opposite and 4 = adjacent

Tan = opposite over adjacent

Tan(theta)=6/4

=56.30993247

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The City of Oz has to repaint its cylinder-shaped water tower. Only the top and sides need to be painted. If the water tower has
scoundrel [369]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Among the choices provided the answer should be letter C. Below is the solution:

top 
<span>pi r^2 or pi * 400 </span>
<span>sides </span>
<span>2 pi r * 60 </span>
<span>40 * 60 pi </span>
<span>2400pi </span>

<span>so add the top and side we get p*400 + p*2400 = 2800 pi ft^2</span>

6 0
4 years ago
The graph shows the relationship between gravitational potential energy and mass, for objects at a height of 10 meters. What con
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Answer:

d

Step-by-step explanation:

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