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gtnhenbr [62]
3 years ago
14

Jerry has taken a random sample of students and determined the number of electives that each student in his sample took last yea

r. There were 19 students in the sample. Here is the data on the number of electives the 19 students took: 6, 6, 8, 7, 7, 7, 8, 9, 10, 8, 7, 6, 9, 6, 8, 7, 9, 7, 10. The mean of this sample data is 7.63. Pls help me
What is the sample proportion of students who took fewer than the mean number of electives?

A. `10/19`

B. `6/19`

C. `7/19`

D. There is not enough data to answer this question.
Mathematics
1 answer:
Zinaida [17]3 years ago
4 0

Answer:

A. 10/19

Step-by-step explanation:

The mean is 7.63, so 8,9, and 10 are above that. There are 9 that are either 8, 9, or 10. 19-9=10, therefore making the only possible answer 10/19

I hope this helps you :)

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Answer:

Step-by-step explanation:

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7 0
2 years ago
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Answer: 7234.56 cm

V = \frac{4}{3} π r³

V = \frac{4}{3} (3.14) (12)³

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6 0
2 years ago
Given f (x ) = x^2 + 3x + 2 and g (x ) = x + 1, perform the indicated operations.
Nana76 [90]

Answer:

(i) (f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2

Step-by-step explanation:

The given functions are;

f(x) = x² + 3·x + 2

g(x) = x + 1

(i) (f - g)(x) = f(x) - g(x)

∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1

(f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = f(x) + g(x)

∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3

(f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = f(x) × g(x)

∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2

(f·g)(x) = x³ + 4·x² + 5·x + 2

7 0
3 years ago
What is equivalent to (b+6)3?​
arlik [135]

3(b+6) = 3*b + 3*6 = 3b + 18

5 0
3 years ago
Compare fractions 3/4 and 11/12
RoseWind [281]

For now, assume 3/4 and 11/12 are equal. It is likely they are not equal, but we'll get to that later.

The equation we set up is 3/4 = 11/12

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

3/4 = 11/12

3*12 = 4*11 ... cross multiply

36 = 44

The last equation is false, so the entire string of equations are false.

This tells us that 3/4 is not equal to 11/12.

Since the left hand side of the last equation is smaller, this means we must replace the equal sign with a less than sign. Do so with the other equal signs as well. We have this updated set of steps

3/4 < 11/12

3*12 < 4*11 ... cross multiply

36 < 44

We see that 3/4 is smaller than 11/12

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

Another way to see that 3/4 is smaller is to use a calculator to find the decimal version of each fraction

3/4 = 0.75

11/12 = 0.9167 approximately

Since 0.75 is smaller than 0.9167, this means 3/4 is smaller than 11/12.

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

If you want to stick with fractions and you don't want to cross multiply, then we can rewrite 3/4 as a fraction that has 12 in the denominator.

Multiply top and bottom of 3/4 by the value 3

This will make 3/4 turn into 9/12

3*3 = 9

4*3 = 12

So 3/4 = 9/12 is a true equation

Instead of comparing "3/4 and 11/12", we are equivalently comparing "9/12 and 11/12".

The numerator 9 is smaller than the numerator 11, so 9/12 is smaller than 11/12

This points to 3/4 being smaller than 11/12.

5 0
3 years ago
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