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Anna [14]
2 years ago
8

A few students conducted a study on how many peanuts it would take to completely fill a jar. They had the following data to help

them with the study: In a container with a volume of 108 they could fit 65 peanuts. In a container with a volume of 150 they could fit 90 peanuts. The height of the jar for the peanuts is 16 cm and the radius is 3.5 cm. What number would be a good estimate for the number of peanuts in a jar this size?
Mathematics
1 answer:
Marizza181 [45]2 years ago
8 0

Answer:

370 peanuts

Step-by-step explanation:

65/108 = 0.60185

90/150 = 0.6000

In each case, the number of peanuts is either exactly or very close to 60% of the volume.

A cylinder with radius 3.5 cm and height 16 cm has volume:

V = (pi)r^2h

V = (3.14159)(3.5 cm)^2(16 cm)

V = 615.752 cm^3

We take 60% of the volume to estimate the number of peanuts.

60% * 615.752 cm^3 = 369.451

Answer: 370 peanuts

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Answer:

11x+y = -28

Step-by-step explanation:

We have two points so we can find the slope

m = (y2-y2)/(x2-x1)

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   = -11(-2+3)

   = -11/1

The slope is -11

We can use point slope to make an equation

y-y1 = m (x-x1)

y-5 = -11(x--3)

y -5 = -11(x+3)

Distribute

y-5 = -11x-33

Add 5 to each side

y-5+5 = -11x-33+5

y = -11x-28

Add 11x to each side

11x+y = -11x+11x-28

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3 years ago
What is the difference between these two integers?<br><br> −14 − (+6) =
sladkih [1.3K]

Answer:

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Step-by-step explanation:

the negative sign gives you a negative 6, which you can subtract from -14, giving you -20.

8 0
3 years ago
If the ratio of red roses is 4 to 6 and there are a total of 50 roses, how many of them are yellow?
raketka [301]
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A one-tailed test is a a. hypothesis test in which rejection region is in one tail of the sampling distribution b. hypothesis te
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Answer:

Option A) One tailed test is a hypothesis test in which rejection region is in one tail of the sampling distribution

Step-by-step explanation:

One Tailed Test:

  • A one tailed test is a test that have hypothesis of the form

H_0: \bar{x} = \mu\\H_A: \bar{x} < \mu\text{ or } \bar{x} > \mu

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  • If we perform right tailed hypothesis that is the upper tail hypothesis then the rejection region lies in the right tail after the critical value.
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Thus, for one tailed test,

Option A) One tailed test is a hypothesis test in which rejection region is in one tail of the sampling distribution

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