All categories

2 years ago

Give the rate in miles per hour. Round to the nearest tenth. Rachel jogs 20 feet in 3 seconds.

Mathematics

1 answer:

Tanya [424]2 years ago

6 0

Answer:

Rate of jogging is 4.6 miles per hour.

Step-by-step explanation:

Rachel jogs 20 feet in 3 seconds and we have to find the rate of jogging in miles per hour.

Since 1 feet = 0.000189394 miles

Therefore, 20 feet = 0.0037879 miles

Similarly, 1 second = $\frac{1}{3600}$ hour

Therefor, 3 seconds = $\frac{3}{3600}$

= $\frac{1}{1200}$ hours

Formula to calculate the rate = $\frac{\text{Total distance of jogging}}{\text{Time taken to cover the distance}}$

= $\frac{0.0037879}{\frac{1}{1200} }$

= 1200 × 0.0037879

= 4.545

≈ 4.6 miles per hour

Therefore, rate of jogging is 4.6 miles per hour.

You might be interested in

To plan the budget for next year a college must update its estimate of the proportion of next year's freshmen class that will ne

Naily [24]

Answer:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

$z=\frac{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491$

$p_v =P(z>2.491)=0.0064$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of applicants who request financial aid is significantly higher than 0.35

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=67 represent the applicants who request financial aid

$\hat p=\frac{67}{150}=0.447$ estimated proportion of applicants who request financial aid

$p_o=0.35$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of applicants who request financial aid is higher than 0.35.:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.491)=0.0064$

5 0

2 years ago

A regular hexagon rotates counterclockwise about its center. It turns through angles greater than 0° and less than or equal to 3

Vitek1552 [10]

The central angle of a hexagon is :
Ф = 360° : 6 = 60°
The hexagon will map onto itself 6 times.
It will turn through angles : 60°, 120°, 180°, 240°, 300° and 360°.

5 0

2 years ago

Read 2 more answers

Let m,n,p, and q represent nonzero positive integers. find a number in terms of m,n,p, and q that is halfway between m/n and p/q

alukav5142 [94]

This is the same as averaging. You add them and divide by 2.

((m/n) + (p/q))/2 would be a number in between m/n and p/q.

Do note that n and q must be nonzero, but luckily that is a given.

7 0

2 years ago

Read 2 more answers

Stabiliti daca marimile ale caror valori sunt trecute in tabelele urmatoare sunt direct proportionale.

kvv77 [185]

Vă rugăm să găsiți imaginea întrebării atașate mai jos:

Răspuns:

A este proporțională

B este proporțională

C nu este proporțional

D este proporțional

E nu este proporțională

F este proporțional

Explicație pas cu pas:

Pentru a determina proporționalitatea:

Obținem constanta proporționalității

Pentru valorile din tabelul 1;

Luând primul punct:

x = 1; y = 5

1 α 5

1 = 5k

k = 1/5

Test:

y = 15

x = k * y

x = 1/5 * 15; x = 3

Prin urmare; (a) este proporțională

B.)

x = 2; y = 6

2 α 6

2 = 6k

k = 2/6

k = 1/3

Test:

y = 15

x = k * y

x = 1/3 * 15; x = 5

Prin urmare; (b) este proporțională

C.)

x = 2; y = 6

7 α 3,5

7 = 3,5k

k = 7 / 3,5

k = 2

Test:

y = 5

x = 2 * 3.5

x = 7

Prin urmare; (c) nu este proporțională

x = 0,5; y = 1

0,5 α 1

0,5 = k

Test:

y = 4

x = k * y

x = 0,5 * 4; x = 2

Prin urmare; (d) este proporțională

x = 0,2; y = 2

0,2 α 2

0,2 = 2k

k = 0,2 / 2

k = 0,1

Test:

y = 4,5

x = 0,1 * 4,5

x = 0,45

Prin urmare; (e) nu este proporțională

x = 1; y = 12

1 α 12

1 = 12k

k = 1/12

Test:

y = 84

x = 1/12 * 84

x = 7

Prin urmare; (f) este proporțională

7 0

2 years ago

Which of these following debts could possibly be forgiven under chapter 7 bankruptcy?

Travka [436]

A. A mortgage

Hope it helps

5 0

2 years ago

Read 2 more answers