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3 years ago

Lan has a flower pot in the shape of a rectangular prism. The base of the

Mathematics

1 answer:

Anna11 [10]3 years ago

4 0

Answer: 108 cubic inches

Step-by-step explanation:

Hi, to answer this question we have to apple the next formula:

Volume of a rectangular prism (V): base area x height (deep of the soil)

Replacing with the values given:

V = 36 x 3 =108 cubic inches

Ian should put 108 cubic inches of soil in the flower pot.

The volume of the soil is 108 cubic inches.

Feel free to ask for more if needed or if you did not understand something.

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Two chemical plants are releasing waste into a holding tank. Plant 1 releases waste twice as fast as plant 2. Together they fill

tatiyna

Answer:

6 hours.

Step-by-step explanation:

Let t represent time taken by plant 1 in hours to release the waste.

Part of waste released by plant 1 in one hour would be $\frac{1}{t}$ .

We have been given that two chemical plant 1 releases waste twice as fast as plant 2, so time taken by plant 2 to release the waste would be $2t$ .

Part of waste released by plant 2 in one hour would be $\frac{1}{2t}$ .

We are also told that together they fill the tank in 4 hours. So part of tank filled by both plants working together in one hour would be $\frac{1}{4}$ .

$\frac{1}{t}+\frac{1}{2t}=\frac{1}{4}$

$\frac{1}{t}\cdot 4t+\frac{1}{2t}\cdot 4t=\frac{1}{4}\cdot 4t$

$4+2=t$

$t=6$

Therefore, it will take 6 hours for the faster plant to fill the tank working alone.

4 0

3 years ago

Find the measure of each side indicated. Round to the nearest tenth.

mihalych1998 [28]

Answer:

D. 25.3

Step-by-step explanation:

tan∅ = opposite over adjacent

Step 1: Write equation

tan66.5° = x/11

Step 2: Multiply both sides by 11

11tan66.5° = x

Step 3: Evaluate

x = 25.2983

x ≈ 25.3

4 0

3 years ago

Read 2 more answers

You’ve bought a half-dozen (six) eggs from the store but you forgot to check them first! The probability that no eggs are broken

GREYUIT [131]

Answer:

$P(X = 0) = C_{6,0}.(0.1416)^{0}.(0.8584)^{6} = 0.4$

$P(X = 1) = C_{6,1}.(0.1416)^{1}.(8584)^{5} = 0.3960$

$P(X = 2) = C_{6,2}.(0.1416)^{2}.(8584)^{4} = 0.1633$

$P(X = 3) = C_{6,3}.(0.1416)^{3}.(8584)^{3} = 0.0359$

$P(X = 4) = C_{6,4}.(0.1416)^{4}.(8584)^{2} = 0.0044$

$P(X = 5) = C_{6,5}.(0.1416)^{5}.(8584)^{1} = 0.0003$

$P(X = 6) = C_{6,6}.(0.1416)^{6}.(8584)^{0} = 0.00001$

b) 56.77% probability that an even number of eggs is broken.

Expectation: 0.8496

Variance: 0.7293

Step-by-step explanation:

For each egg, there are only two possible outcomes. Either it is broken, or it is not. The probability of an egg being broken is independent from other eggs. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$