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Tasya [4]
3 years ago
13

For a sample of n = 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00. What are the values for the s

ample mean and standard deviation?
Mathematics
1 answer:
TEA [102]3 years ago
3 0

Answer:

30

Step-by-step explanation:

Here, it is given that the Z – score corresponding to the score X = 45 is 1.5 and the Z – score corresponding to the score X = 40 is...

Z = \frac{X - M}{S}

So:

1/ 1.5 = \frac{45 - M}{S} and 1 = \frac{40 -M}{S} . solve the both equations, we found out:

<=> S = 10

=> M = 30

Hence, mean is:

M = 45 -1.5S = 45 - 1.5 (10) = 30

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#11 and #13 geometry help please help need work shown as well !!
Trava [24]

Answer: In diagram (11) X = 30 degrees and Y = 60 degrees

In diagram (13) X = 20.55 degrees and Y = 69.45 degrees

Step-by-step explanation: What we have are two right angled triangles with two sides given in each case, therefore we can calculate the two unknown angles (since the third angle equals 90 degrees).

For the second triangle (number 13) we shall use Y as the reference angle. That means we have an opposite (the side facing the reference angle) which is 24 and we have an adjacent (the side that lies between the right angle and the reference angle) which is 9. Hence,

Tan Y = opposite/adjacent

Tan Y = 24/9

Tan Y = 2.6667

Checking with your calculator or table of values, 2.6667 = 69.45

Having two angles, which are 90 and 69.45, the third angle X can be computed as

X = 180 - (90 + 69.45)

Sum of angles in a triangle equals 180

X = 180 - 159.45

X = 20.55 and Y = 69.45

For the first triangle (number 11) we shall use X as the reference angle. We have two sides, the opposite (the side facing the reference angle) which is 3, and the hypotenuse (side facing the right angle) which is 6. Hence,

Sin X = opposite/hypotenuse

Sin X = 3/6

Sin X = 0.5000

Checking with your calculator or table of values,

X = 30 degrees.

Also, now that we have two angles we can easily compute the third angle as follows

Y = 180 - (90 + 30)

Sum of angles in a triangle equals 180

Y = 180 - 120

Y = 60

X = 30 and Y = 60

4 0
3 years ago
What is the same as multiplying by 1/3?
s2008m [1.1K]

Answer:b

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
When their report cards came back, Pete, Chris, and Dina realized that they shared the number of A’s in the ratio 4:2:5. If Pete
ankoles [38]
15 I believe.. I could be wrong bc idk if youre adding the A's to the ratio or starting at 0
6 0
3 years ago
I want to learn how to solve a slope problem
mina [271]
The slope (or average rate of change) formula is: m= \frac{ y_{2}- y_{1}  }{ x_{2}- x_{1}  }. It is easy to remember as "slope is easy and fun, rise over run" where the y-values of the 2 points would be the "rise" and the x-values of the 2 points would be the "run" So with two points, you label one point as ( x_{1},  y_{1}) and the other as ( x_{2},  y_{2}). Then you insert these points into the slope formula (m represents slope). So, m= \frac{6-1}{-3-5} where (-3,6) is x2 and y2 and (5,1) is x1 and y1. It would simplify to m= \frac{5}{-8}.
3 0
3 years ago
Please help me thank you
ahrayia [7]

Answer:

(2,3)

Step-by-step Explanation:

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4 0
3 years ago
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