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Alecsey [184]
3 years ago
11

You recently took a statistics exam in a large class. The instructor tells the class that the scores were Normally distributed,

with a mean of 72 (out of 100) and a standard deviation of 12. Your score was 96. You would like to know what proportion of students did better than you did. Unfortunately, your calculator batteries are dead and you must now rely on Normal tables. You need to find which of the following?
a. the area to the left of 2
b. the area to the right of 2
c. the area to the right of 96
d. the area to the left of 96
Mathematics
1 answer:
Lunna [17]3 years ago
5 0

Answer:

b. the area to the right of 2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.

In this problem:

X = 96, \mu = 72, \sigma = 12

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

Z = \frac{96 - 72}{12}

Z = 2

Percentage who did better:

P(Z > 2), which is the area to the right of 2.

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The slope of f is 10 because as x increases by 1, f(x) increases by 10.The slope of g is lesser at 5, because every time x increases it only increases by 5. By plugging in 1 and 2 to g(x), we can see that g(2)=11, which is 5 more than g(1)=6.
6 0
3 years ago
i will give brainliest A person who weighs 240 pounds burns 180 calories per mile of running.A person who weighs______pounds, bu
Vedmedyk [2.9K]

Set up a ratio:

240/180 = X/36

Cross multiply:

240 * 36 = 180x

8640 = 180x

Divide both sides by 180:

X = 8640 / 180 = 48

The person would weigh 48 pounds.

7 0
3 years ago
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The table shows the total profits earned from magazine sales.
coldgirl [10]

Answer:

C. y= 14x+20

Step-by-step explanation:

By looking at the table, you can put in the x-values into all of the equations until you find the corresponding y-values that matches with the values in the table. For example: y= 14(2)+ 20, y=48. y= 14(20) +20, y=300. Hope this helped!

8 0
3 years ago
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The ratio of males to females in a cycling club is 5:3.
taurus [48]

Answer:

3/2

Step-by-step explanation:

The ratio of males to females in a cycling club is 5:3.

1/3 of the males are under 18

2/9 of the females are under 18

The fraction of the club members that are under 18 is calculated as:

Male: Female = Male/Female

We are told in the above question:

1/3 of the males are under 18

2/9 of the females are under 18

Hence:

1/3 / 2/9

= 1/3 ÷ 2/9

= 1/3 × 9/2

= 3/2

The fraction of the club members that are under 18 is 3/2

6 0
3 years ago
Compare the strengths and weaknesses of the horizontal and vertical methods for adding and subtracting polynomials. Include comm
Pavlova-9 [17]

Answer:

Overall vertical is visually better, if done correctly

it forces you to "line up" all the common exponents.

The disadvantage is that it usually requires re-writing the problem, and it takes up space.

most problems are presented horizontally, that becomes the issue to locate the common exponents.

in both cases the biggest issue is people forget

that when subtracting "subtracting a negative is like adding a positive"

-5x - (-8x)  = 3x [that is a positive 3x]

or:

     -7x

-    - 10x

-------------

     3x

everyone misses those eventually so you have to watch out for that in both methods

Step-by-step explanation:

5 0
3 years ago
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