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2 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?

1 answer:

TEA [102]2 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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Select the answer choice below that represents 5.9 x 10-4 in standard notation.

PIT_PIT [208]

This means that you have to move the decimal point 4 decimal places to the left, as denoted by the negative sign. Thus, this would add 3 zeros before 5. The answer would be 0.00059.

I hope the explanation was clear to you. Have a good day.

6 0

2 years ago

While traveling to Europe phlegm exancheged 250 US dollars he spent 150 euros on his trip after returning to the United States h

anzhelika [568]

1euro = 1.3687 USD

So 150 Euros = 150*1.3687 USD

=<span>205.305 USD

So he spent $205.305 USD on his trip.

He started off with $250 so to find the amount left we just take

250 - 205.305

= $44.695

Or 44 dollars and 69.5 cents. It's a weirdly exact amount, sure, but the question had a very precise exchange rate, so we'll assume this is fine. </span>

4 0

2 years ago

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy

vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

$cos(Y)=\frac{ZY}{XY}$ ---> adjacent side divided by the hypotenuse

substitute the values

$cos(30\°)=\frac{ZY}{4}$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

so

substitute

$\frac{\sqrt{3}}{2}=\frac{ZY}{4}$

$ZY=(4)\frac{\sqrt{3}}{2}$

$ZY=2\sqrt{3}\ units$

step 2

$sin(Y)=\frac{XZ}{XY}$ --> opposite side divided by the hypotenuse

substitute the values

$sin(30\°)=\frac{XZ}{4}$

Remember that

$sin(30\°)=\frac{1}{2}$

so

$\frac{1}{2}=\frac{XZ}{4}$

$XZ=2\ units$

step 3

$tan(Y)=\frac{XZ}{ZY}$ --> opposite side divided by adjacent side

substitute the values

$tan(Y)=\frac{2}{2\sqrt{3}}$

$tan(Y)=\frac{1}{\sqrt{3}}$

Simplify

$tan(Y)=\frac{\sqrt{3}}{3}$

so

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0

2 years ago

Read 2 more answers

What is the slope of the line that passes through the points (1,7) and (-4,-8)?

Aleksandr [31]

Answer:

D. 3

Step-by-step explanation:

To find the slope of a line, we can use the equation y2-y1/x2-x1=m or slope.

All we can do now is insert the values of the points into the equation.

-8-7/-4-1=m

-15/-5=m

3=m

Thus, the slope is 3.

Hope this helps!

5 0

2 years ago

Read 2 more answers

Tom has a recipe for punch that calls for 1/2 gallon of fruit drink, how much fruit drink will tom need to make 5/2 batches of t

Hunter-Best [27]

Answer:

Tom will need $\dfrac{5}{4}$ gallons of fruit drink.

Step-by-step explanation:

Hint- This question can be solved by unitary method.

Tom has a recipe for punch that calls for $\dfrac{1}{2}$ gallon of fruit drink.

i.e for 1 batch of the punch Tom needs $\dfrac{1}{2}$ gallon of fruit drink.

For $\dfrac{5}{2}$ batch of the punch Tom needs $\dfrac{1}{2}\times \dfrac{5}{2}=\dfrac{5}{4}$ gallons of fruit drink.

Therefore, Tom will need $\dfrac{5}{4}$ gallons of fruit drink.

4 0

3 years ago