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3 years ago

Uple Choice Worth 1 points)

Mathematics

1 answer:

scZoUnD [109]3 years ago

5 0

Step-by-step explanation:

$( \frac{ {6}^{5} }{ {7}^{3} })^{2} \\ = \frac{ {6}^{10} }{ {7}^{6} }$

Hope it will help :)

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Jason is the captain of his basketball team the list below shows how many points Jason scored in each of the first 10 games 18,2

Anika [276]

A. The scores in order are: 10, 12, 13, 14, 14, 16, 18, 23, 24, 26. The range is 26 - 10 = 16. The mean is the sum divided by 10, which is 17. The median is between 14 & 16, which is 15. The mode is 14, since it is repeated twice.
B. The variance is calculated by subtracting each score from the mean, squaring, and adding all such squares. Then divide by the number of terms (10) to get 27.6 Take the square root to get the standard deviation, which is 5.25.
C. This is for a population, since these are all 10 games that Jason played. (If it were a sample, we would divide by 9 only)

D. The mean of 17 is higher than the median of 15 and the mode of 14. This implies a left-skewed distribution. However, the SD of 5.25 is quite high relative to the mean of 17, so the distribution is not that clearly defined yet (more data points would make it clearer).

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3 years ago

A train travels 25 miles in 20 minutes. What is the train speed in miles per hour?

kenny6666 [7]

60 min = 1 hour

1st we need to know how many times 20 goes in 60 so we will divide.

60 ÷ 20 = 3

Now we will multiply to find the trains speed in miles per hour.

3 × 25 = 75

SO, the train travels 75 miles per hour.

Hope I helped ya!!

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=-24

Zanzabum

We want to find a polynomial

f(x) = a x³ + b x² + c x + d

such that the roots of f are x = -3, x = -1, and x = 4, and f(x) takes on a value of -24 when x = -2.

The factor theorem for polynomials tells us that we can factorize f(x) as

a x³ + b x² + c x + d = a (x + 3) (x + 1) (x - 4)

Expand the right side:

(x + 3) (x + 1) (x - 4) = x³ - 13x - 12

So we have

a x³ + b x² + c x + d = a x³ - 13a x - 12a

In order for both sides to be equal, the coefficients of both polynomials on terms of the same degree must be equal. This means

a = a (of course)

b = 0 (there is no x² term on the right)

c = -13a

d = -12a

We also have that f (-2) = -24, which means

f (-2) = a (-2 + 3) (-2 + 1) (-2 - 4)

-24 = 6a

a = -4

which in turn tells us that c = 52 and d = 48.

So we found

f(x) = -4x³ + 52x + 48

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3 years ago

Find the equation of circle having centre with

GaryK [48]

Step-by-step explanation:

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