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3 years ago

Almost done guys I have 5 more questions

Mathematics

1 answer:

erastova [34]3 years ago

8 0

Answer:the third one

Step-by-step explanation:

just time how much months,weeks, and years, for each amount

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Determine the coordinates of the vertices of the rectangle to compite the area of the rectangle using the distance formula.

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

6 0

3 years ago

The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches, find the dimensions of the rectangle.

aalyn [17]

P = 2w + 2l where w is the width, and l is the length. We know the length (l) is 3 inches longer than it's width (or l = w+3). Substitute w +3 into Perimeter equation. P = 2w + 2(w+3).

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2 years ago

A train traveled 210 mi in 3.5 h to its first stop. It then continued on traveling another 130 mi in 2.5 h.

11111nata11111 [884]

Answer:

56.7 mi/h

Step-by-step explanation:

The formula for average speed is:

Average Speed = $\frac{TotalDistance}{TotalTime}$

Thus we have:

Average Speed = $\frac{210+130}{3.5+2.5}\\=\frac{340}{6}\\=56.66$ mph

<em>Rounding to the nearest tenth, we have </em>

Average Speed = 56.7 mi/h

7 0

3 years ago

Read 2 more answers

Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector i

aleksandrvk [35]

Answer:

0.967 = 96.7% probability the rock sample actually contains raritanium

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive reading

Event B: Contains raritanium

Probability of a positive reading:

98% of 13%(positive when there is raritanium).

0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

$P(A) = 0.98*0.13 + 0.005*0.87 = 0.13175$

Positive when there is raritanium:

98% of 13%

$P(A) = 0.98*0.13 = 0.1274$

What is the probability the rock sample actually contains raritanium?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967$

0.967 = 96.7% probability the rock sample actually contains raritanium

7 0

2 years ago

a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat 7 hours, while the outlet pipe can empty it in

raketka [301]

Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers.

Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)

For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour.

So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added.

Now just divide the size of the vat by that number, and you find your answer.

70 gallons / 3 gallons per hour = 23 1/3 hours.

6 0

2 years ago