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3 years ago

Siri can run 6 miles in 3/4 of an hour at this rate what is the total number of miles a student can run in one hour

Mathematics

1 answer:

Lesechka [4]3 years ago

3 0

Answer:

4.5 mph

Step-by-step explanation:

6 times 3 is 18.

18 divided by 4 is 4.5

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat

Mrrafil [7]

Answer:

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

Step-by-step explanation:

Data given and notation

$\bar X=114$ represent the sample mean

$\sigma=22$ represent the population standard deviation

$n=36$ sample size

$\mu_o =120$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part 1

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

8 0

2 years ago

2. A package of paper towels contains 3 rolls. Each package of paper towels costs $2.79. A function, f(x), is written to represe

kolbaska11 [484]

Answer:

Step-by-step explanation:

Let x be the number of packages of paper towels.

Each package of paper towels costs $2.79.

Then x packages of paper towels cost $2.79x.

Hence, a function f(x) is

$f(x)=2.79x$

Practically, you can buy 0 packages, 1 package, 2 packages and so on, only whole numbers of packages, so practical domain is all whole numbers.

4 0

2 years ago

The student council is selling cupcakes at the school play.

Eduardwww [97]

Answer: 37.5

Step-by-step explanation:

75 divided by 2

6 0

3 years ago

In Sakura's garden, for every 5 red flowers, there are 10 yellow flowers. There are 75 total red and yellow flowers. How many re

sweet [91]

Answer: there are 25 red flowers in Sakura's garden.

Step-by-step explanation:

In Sakura's garden, for every 5 red flowers, there are 10 yellow flowers. This means that if there are 10 red flowers, there would be 20 yellow flowers. if there are 20 red flowers, there would be 40 yellow flowers. Therefore, the ratio of red flowers to yellow flowers in the garden is

5/10 = 10/20 £= 20/40 = 1/2 = 1:2

Total ratio = 2 + 1 = 3

If there are 75 total red and yellow flowers, then the total number of red flowers are in Sakura's garden would be

1/3 × 75 = 25

8 0

3 years ago

Abigail rides her bike with a constant speed of 12 miles per hour. How far can she travel in 45 minutes?

ohaa [14]

If she rides at 12 miles per hour, we know that 45 minutes is three quarters of an hour, therefore just workout:

3/4 x 12 = 9

So she would travel 9 miles in 45 minutes.

7 0

3 years ago

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