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3 years ago

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Can someone please answer. There is one problem. There's a picture. Thank you!

1 answer:

swat323 years ago

8 0

what are they asking you for?

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Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

denis23 [38]

<h2>Answer: 2.8 miles</h2>

Step-by-step:

We can write it in the proportion $\frac{7}{60} = \frac{x}{24}$

where x is our number of miles trying to find

We now cross multiply or use the butterfly method which I will demonstrate both

<h3>Cross Multiply</h3>

We multiply the numerator with the dominator

so $7 multiplied by 24$

and $60 multiplied by x$

$7*24=60x$

$168=60x$

$\frac{168}{60} =\frac{60x}{60}$

$2.8=x$ or $x=2.8$

Now for the

<h3>Butterfly Method </h3>

You would do 7 times 24 divided by 60 or $\frac{7*24}{60}$

Then $\frac{168}{60}$ simplify

$2.8$ so 2.8 miles in either method

3 0

3 years ago

The percent decrease of an item that dropped in price from $50 to $43 is _____.

Stels [109]

Hopefully I’m correct but I think it is 7% because 50 -43 equals 7%

4 0

3 years ago

You have completed 35% of your workout. Your workout is 35 minutes long. How much time do you have left?

guapka [62]

Answer:

You have 12.25 minutes left to workout.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The volume of this sphere is 972π cubic inches what is it's radius recall the formula<br>

Lelu [443]

Answer:

r = 9 that's your answer.

Hope it's correct, appreciate if you could let me know

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A recipe submitted to a magazine by one of its subscribers’ states that the mean baking time for a cheesecake is 55 minutes. A t

EastWind [94]

Answer:

$t=\frac{59.4-55}{\frac{3.239}{\sqrt{10}}}=4.296$

The degrees of freedom are given by:

$df=n-1=10-1=9$

The p value for this case is given by:

$p_v =P(t_{(9)}>4.296)=0.001$

And for this case the p value is lower than the significance level so we have enough evidence to reject the null hypothesis and then we can conclude that true mean is higher than 55.

Step-by-step explanation:

Information given

We have the following data: 54 55 58 59 59 60 61 61 62 65

The sample mean and deviation can be calculated with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X-i -\bar x)^2}{n-1}}$

$\bar X=59.4$ represent the sample mean

$s=3.239$ represent the sample standard deviation

$n=10$ sample size

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to test if the true mean is higher than 55, the system of hypothesis would be:

Null hypothesis: $\mu \leq 55$

Alternative hypothesis: $\mu > 55$

Replacing the info given we got:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replacing the info given we got:

$t=\frac{59.4-55}{\frac{3.239}{\sqrt{10}}}=4.296$

The degrees of freedom are given by:

$df=n-1=10-1=9$

The p value for this case is given by:

$p_v =P(t_{(9)}>4.296)=0.001$

And for this case the p value is lower than the significance level so we have enough evidence to reject the null hypothesis and then we can conclude that true mean is higher than 55

8 0

3 years ago