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Allisa [31]
3 years ago
13

A normal distribution has a mean of 103 and a standard deviation of 2.7. What is the z-score of 105?

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0

Answer:

z-score = 0.741

Step-by-step explanation:

The provided information are:

Population mean (\mu) = 103

Population standard deviation (\sigma) = 2.7

Score (X) = 105

The formula to calculate the <em>z</em>-score is:

z=\frac{X-\mu}{\sigma}

The z- score can be calculated as:

z=\frac{X-\mu}{\sigma}\\z=\frac{105-103}{2.7} \\z=  0.741

Hence, the z-score is 0.741.

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A circle is centered on point B. Points A, C and D lie on its circumference.
Firlakuza [10]

Answer:

<h2>The angle ABC is 70°.</h2>

Step-by-step explanation:

You can observe a representation of the problem in the image attached.

According to the inscribed angle theorem, the angle created by two chords is half of its subtended arc, that means

\angle ADC = \frac{1}{2}(AC)\\ 35\°=\frac{1}{2} (AC)\\AC=70\°

Now, observe that the arc AC has as central angle the angle ABC, according to the theorem, the subtended arc and its central are congruent.

\angle ABC \cong arc(AC)

Therefore, the angle ABC is 70°.

6 0
4 years ago
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What is the value of i 20+1
zmey [24]

Answer:

<h2>21 no sure what the "i" means</h2>

Step-by-step explanation:

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3 years ago
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The Sum of the digits of a two digit number is 12.The number obtained by interchanging the digits exceeds the original number by
Rashid [163]

Answer:

original number is 57

Step-by-step explanation:

I am not sure if there is a correct way to do this...but I am just guessing and checking to find the answer.

the possible 2 digit numbers that equal 12 are :

39,93,48,84,57,75,66

the number obtained by interchanging the digits exceeds the original number by 18....so the original number is 18 less then the new number.

the only two numbers whos difference is 18 is 57 and 75.....75 - 57 = 18

so the original number is 57.....and the new number obtained by interchanging the digits (75) exceeds the original number by 18...and 75 - 57 = 18.

4 0
4 years ago
Helppp please! Find the value of cos X
Kamila [148]

Answer:

3/5

Step-by-step explanation:

\cos X=  \frac{XY}{ZX} =  \frac{30}{50}  =  \frac{3}{5}  \\

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What is the vertex of the graph?
Goshia [24]

Answer:

(1,3)

Step-by-step explanation:

where does the graph change direction?

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