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3 years ago

Petra jogs 5 miles in 40 minutes. At this rate, how long would it take her to jog 7 miles?

2 answers:

8 0

You could write and solve an equation of ratios:

5 mi 7 mi
------------ = ----------
40 min x

Then 5x = 280, and x = 56. Petra can jog 7 miles in 56 minutes.

Wittaler [7]3 years ago

6 0

(40 min)/(5 mi) = (time)/(7 mi) . . . . . the rates are the same
(7/5)*(40 min) = time = 56 min

At the same rate, it would take Petra 56 minutes to jog 7 miles.

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Data is collected to compare two different types of batteries. We measure the time to failure of 12 batteries of each type. Batt

-Dominant- [34]

Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

At the null hypothesis, it is tested if it does not outlast by more than 2 hours, that is, the subtraction is not more than 2:

$H_0: \mu_B - mu_A \leq 2$

At the alternative hypothesis, it is tested if it outlasts by more than 2 hours, that is:

$H_1: \mu_B - \mu_A > 2$

The sample means are: $\mu_A = 8.65, \mu_B = 11.23$

The standard deviations for the samples are $s_A = s_B = 0.67$

Hence, the standard errors are:

$s_{Ea} = S_{Eb} = \frac{0.67}{\sqrt{12}} = 0.1934$

The distribution of the difference has mean and standard deviation given by:

$\overline{x} = \mu_B - \mu_A = 11.23 - 8.65 = 2.58$

$s = \sqrt{s_{Ea}^2 + s_{Eb}^2} = \sqrt{0.1934^2 + 0.1934^2} = 0.2735$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 2$ is the value tested at the hypothesis.

Hence:

$t = \frac{\overline{x} - \mu}{s}$

$t = \frac{2.58 - 2}{0.2735}$

$t = 2.12$

The critical value for a right-tailed test, as we are testing if the subtraction is greater than a value, with a 0.05 significance level and 12 + 12 - 2 = 22 df is given by $t^{\ast} = 1.71$

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

A similar problem is given at brainly.com/question/13873630

7 0

2 years ago

Bru how i do these 2 ?

Stells [14]

Use the pythagoream theorem A^2+B^2 then square your answer a being your adjacent side and b being your opposite leg.

7 0

2 years ago

Jim is selling hot dogs at a ball game. It cost Jim $250 to purchase everything to make the hot dogs. Jim sells hot dogs for $2.

Olegator [25]

So since he is wasting money to purchase everything you won't be gaining but loosing so 250-2h= P bc it's $2 for every hot dog and you are losing again

3 0

3 years ago

I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS GOOD PLEASE

12345 [234]

Answer:

Figure 1

Step-by-step explanation:

Congruent shapes are shapes that share the same side lengths and angle measures. In figure 1, we see that all sides and angles are marked equal, thus both shapes are congruent. However, in figure 2, we clearly see that the sides of each of the triangles are different. Thus, the triangles in figure 2 are not congruent.

4 0

2 years ago

Read 2 more answers

help please! I must solve using descartes law of signs or rational root theorem. show all steps please thanks!

wel

Answer:

x=2 or x=3

Step-by-step explanation:

x^4 - 5x^3 + 7x^2 - 5x + 6 = 0

Step 1=Factor left side of equation.

(x-2) (x-3) (x^2 + 1) = 0

Step 2=Set factors equal to 0.

x-2 = 0 or x-3 = 0 or x^2 + 1 = 0.

Answer:x=2 or x=3

4 0

2 years ago