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3 years ago

What is the answer of -2 < 5 - k ÷ 2

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

3 0

Step-by-step explanation:

$- 2 < 5 - \frac{k}{2} \\ - 7 < - \frac{k}{2} \\ \frac{k}{2} > 7 \\ k > 14$

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Which parabola has the graph shown?<br><br> I think the answer is C. however, I'm not 100% sure.

NemiM [27]

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We have the vertex (-4, -1), therefore we have:

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4 years ago

Samples of rejuvenated mitochondria are mutated (defective) with probability 0.11. Find the probability you need to examine at l

joja [24]

Answer:

The probability that more than 6 samples are needed to have 2 mutations is P=0.866.

Step-by-step explanation:

This question can be analized with the binomial distribution.

We need to calculate the probability that more of 6 samples are needed to have 2 samples with mutations.

This is equal to the proability of taking 2 samples and getting one mutation or less.

Then we have a binomial distribution with n=6 and p=0.11:

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3 years ago

A garbage container is to be constructed out of 400 ft2 of material. The vessel will have a square base and an open top. Find th

sveticcg [70]

Answer:

11.547 ft wide by 5.774 ft high

769.800 ft³ capacity

Step-by-step explanation:

Volume is maximized for a given area by having the area of a pair of opposite sides equal the area of the bottom. That means the overall area of the container is 3 times the area of the bottom. Then the square bottom will have a width of ...

w = √(400/3) ≈ 11.547 . . . feet

The height is half that, so is ...

h = w/2 = 11.547/2 ≈ 5.774 . . . feet

The capacity is then ...

w²h = (11.547 ft)²(5.774 ft) = 769.800 ft³

The container is 11.547 ft wide by 5.774 ft high. It has a capacity of 769.800 cubic feet.

_____

You want to maximize w^2h subject to w^2 + 4wh = 400. Solving the constraint equation for h, we get h = (400 -w^2)/(4w) and the volume we want to maximize can be written as ...

V = w(400-w^2)/4

This will be an extreme when dV/dw = 0, so we want to solve ...

dV/dw = 0 = 100 -(3/4)w^2

w^2 = 400/3

w = √(400/3) . . . . . as above

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3 years ago

Suppose the American Lung Association stated that approximately 1 out of every 20 deaths in the US last year was from lung cance

tester [92]

Answer: 10

Step-by-step explanation:

Given : The American Lung Association stated that approximately 1 out of every 20 deaths in the US last year was from lung cancer.