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frozen [14]
2 years ago
15

Write equivalent fractions for 1 2/3 and 1 7/8 using 24 as the common denominator 2 24 7 1 0​

Mathematics
1 answer:
NARA [144]2 years ago
7 0

<u>Answer:</u>

<u />

2×8=16

7×3=21

2/3 + 7/8 = 16/24 + 21/24

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) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection
RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

C_{(m,n)} = \frac{m!}{n!(m-n)!}

In this question, m = 18, n = 9. So the total number of possibilities is:

T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715

The probability is the number of desired possibilities divided by the number of total possibilities. So

P = \frac{715}{48620} = 0.015 = 1.5%

The probability the he or she will answer correctly is 1.5%

3 0
3 years ago
Madison earned $80 last month pet sitting in her
xeze [42]

Answer:

26

Step-by-step explanation:

Subtract

4 0
2 years ago
Read 2 more answers
The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20
stira [4]

Answer:

a) Option A)

H_{0}: \mu \geq 1503\\H_A: \mu < 1503

b) Point estimate of difference = -78

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, \bar{x} = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}

b) Point estimate  of the difference between the mean annual premium in Pennsylvania and the national mean

Point estimate of difference =

Mean annual premium in Pennsylvania - National mean

\text{Point estimate} = \bar{x} - \mu = 1425 - 1503 = -78

Thus,

Point estimate of difference = -78

5 0
3 years ago
A cab company charges $1 per cab ride, plus an additional $3 per mile driven. Write an equation that shows the relationship betw
Ostrovityanka [42]

Answer:

1+ 3*x

Step-by-step explanation:

so one dollars plus 3 times x or how many miles they rode

6 0
2 years ago
Consider the following coordinates.
shepuryov [24]

Answer: a) ruler/protractor

b) distance formula (SSS)

c) slope/ distance formula (SAS)

3 0
3 years ago
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