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Hatshy [7]
3 years ago
5

Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to

calculate the z-score for a student who scores a 83 on the final exam. The mean and the standard deviation scores on the exam are 72 and 5, respectively. Calculate the z-score.
Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0

Answer:

\boxed {\boxed {\sf z=2.2}}

Step-by-step explanation:

The z-score tells us how many standard deviations a value is away from the mean.

The formula is:

z=\frac{x- \overline{x}}{s}

where x is the value, \overline {x} is the mean, and s is the standard deviation.

We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

x=83 \\\overline {x}= 72 \\s=5

Substitute the values into the formula.

z=\frac{83-72}{5}

Solve the numerator.

z=\frac{11}{5}

Divide.

z=2.2

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.

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Answer:

Hey there!

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3 years ago
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For any two nonzero integers, the product and quotient have the same sign. True or False
victus00 [196]
That's true. If the integers both have the same sign, then their product and quotient are both positive. If signs are different, then product and quotient are both negative.
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2 years ago
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The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ mea
weeeeeb [17]

31 degrees, 31 degrees, 118 degrees

Step-by-step explanation:

Step 1 :

Let x be the measure of 2 angles of the given isosceles triangle with same measure

Let y be the measure of  3rd angle

So we have x + x + y = 180

Step 2 :

Given that the measure of  3rd angle of  triangle is 25​° more than three times the measure of either of the other two​ angles

So we have , y = 3 x + 25

Step 3:

Substituting for y in the first equation we have,

x + x + 3 x + 25 = 180

=> 5 x + 25 = 180

=> 5 x = 180-25 = 155

=> x = 155/5 = 31

Hence the 2 angles of the triangle are 31 degrees.

Step 4:

we have y = 3 x + 25

=> y = 3 * 31 + 25 = 118

Hence the 3rd angle of given triangle is 118 degrees

8 0
2 years ago
What is the slope between the points (5,-4) and (-3,4) <br> -1<br> 4<br> 0<br> 1
kumpel [21]

Answer:

The answer is -1.

Step-by-step explanation:

You have to apply gradient formula :

m =  \frac{y2 - y1}{x2 - x1}

So you will have to substitute the coordinates into the equation. Let (x1,y1) be (-3,4) and (x2,y2) be (5,-4) :

m =  \frac{ - 4 - 4}{5 - ( - 3)}

m =  \frac{ - 8}{8}

m =  - 1

6 0
2 years ago
I really really really need help!!!!
Yakvenalex [24]
For f to be continuous at x=1, you need to have the limit from either side as x\to1 to be the same.

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^-}(|x-1|+2)=2
\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1^+}(ax^2+bx)=a+b

If a=2 and b=3, then the limit from the right would be 2+3=5\neq2, so the answer to part (1) is no, the function would not be continuous under those conditions.

This basically answers part (2). For the function to be continuous, you need to satisfy the relation a+b=2.

Part (c) is done similarly to part (1). This time, you need to limits from either side as x\to2 to match. You have

\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2^-}(ax^2+bx)=4a+2b
\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2^+}(5x-10)=0

So, a and b have to satisfy the relation 4a+2b=0, or 2a+b=0.

Part (4) is done by solving the system of equations above for a and b. I'll leave that to you, as well as part (5) since that's just drawing your findings.
8 0
2 years ago
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