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3 years ago

A swimmer swam 48 kilometers in d days. What is the value of d if the averge amount swan was 3.2 kilometers?

Mathematics

1 answer:

AnnZ [28]3 years ago

3 0

To find the number of days, divide the total swam by the average:

Days = 48 / 3.2 = 15

They swam for 15 days.

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A Baker has 4 dozen donuts. If 3/4 of the donuts have cream filling, how many plain donuts does he have?

Ipatiy [6.2K]

Answer:

Assuming there's not a larger number the question is asking for, he would have 1 plain donut out of the 4.

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3 years ago

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What is the term in 3y=7x-9

ehidna [41]

The term in that equation is 3x 7x and -9 hope this helps

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3 years ago

Help Please . its due in 5 hours and i cant find answers

dolphi86 [110]

Answer:

39 pi cubic inches

Step-by-step explanation:

The volume of a cone is (1/3)(area of the base)(height).

$V=\frac{1}{3}Bh$

Find the area of the circular base. The circumference of a circle is $C=2\pi r$ , so

$2\pi r = 6\pi\\\\r=3$

Now that you know the radius of the circular base, you can find its area:

$A=\pi r^2 = \pi(3^2)=9\pi$

The height of the cone is 13. Time to use the volume formula.

$V=\frac{1}{3}Bh\\\\V=\frac{1}{3}(9\pi)(13)\\\\V=39\pi$

6 0

3 years ago

the penguin nursery is open two times a day 2/3 hour at noon and 5/12 hour in the afternoon.How much time is the penguin nursery

KonstantinChe [14]

2/3x4/4= 8/12
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7 0

3 years ago

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted t

LekaFEV [45]

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

$H_0: \mu = 59.5$

At the alternate hypothesis, we test that it is different, that is:

$H_a: \mu \neq 59.5$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that $\mu = 59.5$

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that $n = 250, X = 59.2, \sigma = 1.9$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}$

$z = -2.5$

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

5 0

3 years ago