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qaws [65]
3 years ago
5

Jessica wants to take three books on vacation with her. She has five books to choose from. How many possible combinations of thr

ee books could she take on vacation?

Mathematics
2 answers:
bonufazy [111]3 years ago
6 0

Answer:

We use the combination formula:

combinations = n! / r! * (n-r)!

n = 5 and r =3

combinations = 5! / 3! * 2!

combinations = 5! / 12

combinations = 5 * 4 * 3 * 2 * 1 / 12

combinations = 5 * 2 = 10

Step-by-step explanation:

Sedaia [141]3 years ago
4 0

It would have to be 3/5

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What is the value of the expression 5 + 6 x (5 - 2) + 9
s2008m [1.1K]
I believe its 18x + 14
8 0
2 years ago
1 3/2 ​ × 9/8 ​ State your answer as a mixed number in simplest form.
zhuklara [117]

Answer:

The answer is 1 13/27.

Step-by-step explanation:

First, convert any mixed numbers to fractions --

the initial equations then reads as 5/3 x 8/9.

Then, applying the fractions formula for multiplication --

5 x 8 / 3 x 9

40/27

Simplifying the above --

1 13/27

5 0
2 years ago
24.8 = t + 5.1 what is t?
monitta

Answer:

t = 19.7

Step-by-step explanation:

24.8 = t + 5.1

-5.1           -5.1

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

19.7 = t

4 0
2 years ago
Read 2 more answers
A normal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. What information abou
alexira [117]

The <em><u>correct answer</u></em> is:

We can conclude that 68% of the scores were between 55 and 85; 95% of the scores were between 40 and 100; and 99.7% of the scores were between 25 and 100.

Explanation:

The empirical rule tells us that in a normal curve, 68% of data lie within 1 standard deviation of the mean; 95% of data lie within 2 standard deviations of the mean; and 99.7% of data lie within 3 standard deviations of the mean.

The mean is 70 and the standard deviation is 15. This means 1 standard deviation below the mean is 70-15 = 55 and one standard deviation above the mean is 70+15 = 85. 68% of data will fall between these two scores.

2 standard deviations below the mean is 70-15(2) = 40 and two standard deviations above the mean is 70+15(2) = 100. 95% of data will fall between these two scores.

3 standard deviations below the mean is 70-15(3) = 25 and three standard deviations above the mean is 70+15(3) = 115. However, a student cannot score above 100%; this means 99.7% of data fall between 25 and 100.

4 0
3 years ago
Read 2 more answers
Perform the indicated operation g(x)=-x-3 h(x) = x 2+X Find (goh) (x)​
Klio2033 [76]

Answer:

(g\circ h)(x)=-x^2-x-3

Step-by-step explanation:

So we have the two functions:

g(x)=-x-3\text{ and } h(x)=x^2+x

And we want to find:

(g\circ h)(x)

This is the same thing as:

=g(h(x))

So, substitute h(x) into g(x):

g(x)=-x-3\\g(h(x))=-(x^2+x)-3

Distribute the negative:

g(h(x))=-x^2-x-3

And we're done!

So:

(g\circ h)(x)=-x^2-x-3

6 0
3 years ago
Read 2 more answers
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