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seraphim [82]
2 years ago
8

The probability of z is .....please help​

Mathematics
1 answer:
horsena [70]2 years ago
6 0

Answer:

The standard score (more commonly referred to as a z-score) is a very useful statistic because it (a) allows us to calculate the probability of a score occurring within our normal distribution and (b) enables us to compare two scores that are from different normal distributions.Step-by-step explanation:

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A church window consisting of a rectangle topped by a semicircle is to have perimeter p . find the radius of the semicircle if t
Y_Kistochka [10]

Answer:

r=\dfrac{p}{4+\pi}

Step-by-step explanation:

Let r be the radius of the semicircle, then 2r is the width of the rectangle. Let y be the length of the rectangle. The perimeter of the window consists of two lengths, one width and length of semicircle, then

p=2y+2r+\pi r.

Express y:

y=\dfrac{p-2r-\pi r}{2}.

The area of the window is

A=y\cdot 2r+\dfrac{1}{2}\pi r^2.

Substitute y into the area expression:

A=\dfrac{p-2r-\pi r}{2}\cdot 2r+\dfrac{1}{2}\pi r^2=pr-2r^2-\pi r^2+\dfrac{1}{2}\pi r^2=pr-2r^2-\dfrac{1}{2}\pi r^2.

Find the derivative A':

A'=p-4r-\pi r.

Equate A' to 0:

p-4r-\pi r=0\Rightarrow r=\dfrac{p}{4+\pi}.

When r then A'>0 and the function A is increasing, when r>\dfrac{p}{4+\pi}, then A' and the function A is decreasing. This means that at point r=\dfrac{p}{4+\pi} the function A takes it maximal value (the area is maximal).

7 0
3 years ago
What is this answer plz
Anna [14]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
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A line passes through (3, –2) and (6, 2).
Gemiola [76]
A. Y= 4/3x + -6

B. 4/3x + -1y = 6

2=6* 4/3+b
2=8+b
-6=b
5 0
3 years ago
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If line n bisects segment CE, find the positive value of x.<br><br> A.6<br> B.10<br> C.15<br> D.9
givi [52]

9514 1404 393

Answer:

  D.  9

Step-by-step explanation:

The segment lengths are equal, so ...

  x^2 = 90-x

  x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form

  (x +10)(x -9) = 0 . . . . . factor

The solutions are the values of x that make the factors zero: -10, 9.

The positive value of x is 9.

8 0
3 years ago
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Which image represents the first step in constructing the copy of a line segment?
sergij07 [2.7K]
For this case, we observe that the four options represent the steps to build a line similar to the PQ line segment.
 We have then that the first step is:
 Opening of the compass from P to Q to measure the length of the PQ line.
 Answer:
 
An image that represents the first step in constructing the copy of a line segment is:
 
option 1
7 0
3 years ago
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