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3 years ago

10

The graph shows the relationship between the number of milliliters of fuel in the tank of a kerosene lamp and the number of hour

s it will burn.
Question:

If the kerosene lamp’s tank is empty, how many hours will it burn? Explain your reasoning.

1 answer:

EastWind [94]3 years ago

3 0

If there is 0ml of fuel then there is nothing to burn, so an empty can means that it will burn for 0 hours.

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A food product in your kitchen has been contaminated with one bacteria cell. Assume conditions are ideal and bacteria are dividi

tamaranim1 [39]

70 cells?
140 divided by 20 = 70

5 0

3 years ago

g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We ar

BaLLatris [955]

Answer:

The test statistic is $z = 1.25$

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

$H_0: p = 0.8$

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

$H_a: p > 0.8$

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.

80% is tested at the null hypothesis:

This means that $\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4$

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that $n = 100, X = \frac{85}{100} = 0.85$

The test statistic is

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

$z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}$

$z = 1.25$

The test statistic is $z = 1.25$

4 0

3 years ago

5(3a-1)-2(3a-2)=3(a+2)+v

STatiana [176]

Answer:

<u>The answer is option C. 6a-7</u>

Step-by-step explanation:

Given that

5(3a-1)-2(3a-2)=3(a+2)+v

Solve for v

∴ v = 5(3a-1)-2(3a-2) - 3(a+2)

∴ v = 15a - 5 - 6a + 4 - 3a - 6

∴ v = 15a - 6a - 3a - 5 + 4 - 6

∴ v = 6a - 7

<u>So the answer is option C. 6a-7</u>

5 0

3 years ago

Mrs. Gregory, the golf course superintendent at a country club, plans to reseed the putting green of the first hole. The circula

WITCHER [35]

Answer:

The area of the putting green is 1133.5 square feet.

Step-by-step explanation:

Area of a circle:

The area of a circle is given by:

$A = \pi r^2$

In which r is the radius, which is half the diameter.

The circular putting green has a diameter of 38 ft.

This means that $r = \frac{38}{2} = 19$

What is the area of the putting green?

$A = \pi r^2 = 3.14 * 19^2 = 1133.5$

The area of the putting green is 1133.5 square feet.

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3 years ago

Find the interval(s) of upward concavity on this accumulation function.

maxonik [38]

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Hope this helps.

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3 years ago