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Cerrena [4.2K]
1 year ago
11

Bartolo is running a race. He determines that if he runs at an average speed of 15 feet/second, he can finish the race in 6 seco

nds. If he runs at an average speed of 18 feet/second, he can finish the race in 5 seconds.
Bartolo thinks that the fastest he can run is 30 feet/second. How long would it take him to finish the race at this speed?

A.
2 seconds
B.
2.5 seconds
C.
3 seconds
D.
3.5 seconds
Mathematics
1 answer:
Gelneren [198K]1 year ago
7 0

Answer:

C

Step-by-step explanation:

the distance is 15•6 = 18•5 = 90 feet

so, time needed = 90/30 = 3 second

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An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 ste
Zielflug [23.3K]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

6 0
1 year ago
Anthony is informed that there is a 10% chance that he will be hired by the prestigious Acme corporation. He believes that, give
Korolek [52]

Answer:

8% probability that Anthony will soon be playing on the Acme golf team

Step-by-step explanation:

We have these following probabilities:

10% probability that he is hired by the corporation.

If he is hired by the corporation, an 80% probability that he will earn a spot on the golf team.

Given this information we can estimate that the likelihood that Anthony will soon be playing on the Acme golf team to be:

80% of 10%

So

P = 0.8*0.1 = 0.08

8% probability that Anthony will soon be playing on the Acme golf team

4 0
2 years ago
A dartboard has 8 sections of equal area. The letters represent colors red (R), yellow (Y), blue (B), and green (G). Complete th
Alla [95]
Since the sum of all probabilities of all all elementary events will always be equal to 1. Furthermore, the probabilities of all mutually exclusive set of events that is part of the entire sample space will always be total of 1.

So in the problem, the answer is 1/8.
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4 0
2 years ago
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What is the nth term of this sequence 7, 9, 11, 13
Alexus [3.1K]

Answer:

The nth term of the sequence is

<h2>5 + 2n</h2>

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 7

d = 9 - 7 = 2 or 11 - 9 = 2

So the nth term for the sequence is

A(n) = 7 + ( n - 1)2

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Hope this helps you

5 0
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zubka84 [21]

Answer:

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they are the ones repeating at the end

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