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3 years ago

A normal distribution has a mean 20 and standard deviation 5. What is the z score that corresponds to the value x=222

Mathematics

1 answer:

sashaice [31]3 years ago

5 0

Answer: The z score that corresponds to the value x=22 is 0.4 .

Step-by-step explanation:

Given : A normal distribution has a mean 20 and standard deviation 5.

i.e. $\mu=20$

$\sigma=5$

Let x be the random selected variable.

We know that to find the z-score corresponds to the value x is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 22, we have

$z=\dfrac{22-20}{5}=\dfrac{2}{5}\\\\\Rightarrow\ z=0.4$

Hence, the z score that corresponds to the value x=22 is 0.4

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PLS HELP! which graph is the function 3x + 2y = 8 with the given domain {-2,0,2,4}??

Romashka [77]

Answer:

Step-by-step explanation:

Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.

To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.

For x = -2,

3(-2) + 2y = 8

-6 + 2y = 8

2y = 8 + 6

2y = 14

y = 14/2

y = 7

(-2, 7)

For x = 0,

3(0) + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2

y = 4

(0, 4)

For x = 2,

3(2) + 2y = 8

6 + 2y = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

(2, 1)

For x = 4,

3(4) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -4/2

y = -2

(4, -2)

The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.

Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.

7 0

3 years ago

help me find the volume and area of this figure step by step pleasefyi the answer key my teacher gave me says that the surface a

alisha [4.7K]

The volume of the shape

We have a cylinder that is cut into two. Its external radius is 5ft, while its internal radius is 4ft.

External radius = internal radius + thickness

$\begin{gathered} \text{External radius = 4ft + 1ft } \\ =\text{ 5ft} \end{gathered}$

Internal radius = 4ft (given)

Recall that the volume(V) of a full cylinder is:

$V\text{ = }\pi r^2h$

Since the cylinder is cut into two, the volume(V) is:

$V\text{ = }\frac{\pi r^2h}{2}$

height (h) = 12ft (given)

The volume of the shape:

$\begin{gathered} =\text{ Volume of cylinder with a radius of 5ft - Volume of cylinder with a radius of 4ft} \\ =\text{ }\frac{\pi\text{ }\times5^2\text{ }\times\text{ 12}}{2}\text{ - }\frac{\pi\text{ }\times4^2\text{ }\times\text{ 12}}{2} \\ =\text{ 471.239 - }301.593 \\ =169.65ft^3 \end{gathered}$

5 0

1 year ago

Can somebody help me out ??

julia-pushkina [17]

Answer: y = -3/2x -5

explanation:
y = mx + b
7 = -3/2(-8)+b
7= 12 +b
subtract 12 on both sides
-5 = b

y = -3/2x - 5

3 0

2 years ago

Match the function to the correct parabola

Lisa [10]

Answer:

The box to the left will have the equation p(x) = 5x² and the box to the right will have the equation n(x) = $\frac{1}{5} x^{2}$

Step-by-step explanation:

The coefficient of the x² decides how wide or narrow a quadratic graph is. If the coefficient is a fraction of 1, the smaller the fraction the wider the graph gets. If the coefficient is a number bigger than 1, the bigger the number, the narrower the graph gets.

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3 years ago

20 POINTS

Nata [24]

Answer:

1, 3, 7.

Step-by-step explanation:

7 0

3 years ago