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4 years ago

12

A manufacturer makes plastic containers in the shape of rectangular prisms. One container has a height of 5 inches, a width of 2

/7 inch, and a length of 2 inches. Find the volume of the container.

1 answer:

Dahasolnce [82]4 years ago

5 0

Answer:

20/7 or 2 6/7 in³

Step-by-step explanation:

Volume of a rectangular prism:

length × width × height

= 2 × 2/7 × 5

= 20/7 or 2 6/7 in³

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To graduate this semester, you must pass Statistics 314; and you estimate that you have an 85% chance of passing. You need to pa

Nitella [24]

Answer:

Probability of graduating this semester is 0.7344

Step-by-step explanation:

Given the data in the question;

let A represent passing STAT-314

B represent passing at least in MATH-272 or MATH-444

M1 represent passing in MATH-272

M2 represent passing in MATH-444

C represent passing GERMAN-32

now

P( A ) = 0.85, P( C ) = 90, P( M1 ) = P( M2 ) = 0.8

P( B ) = P( pass at least one of either MATH-272 or MATH-444 ) = P( pass in MATH-272 but not MATH-444 ) + ( pass in MATH-444 but not in MATH 272) + P( pass both )

P( B ) = P( M1 ) × ( 1 - P( M2 ) ) + ( 1 - P( M1 ) ) × P( M2 ) + P( M1 ) × P( M2 )

we substitute

⇒ 0.8×0.2 + 0.2×0.8 + 0.8×0.8 = 0.16 + 0.16 + 0.64 = 0.96

∴ the probability of graduating this semester will be;

⇒ P( A ) × P( B ) × P( C )

we substitute

⇒ 0.85 × 0.96 × 90

⇒ 0.7344

Probability of graduating this semester is 0.7344

6 0

3 years ago

Without dividing, determine the sign of the quotient:

amm1812

Answer:

Option A

Step-by-step explanation:

If you divide a negative number by a negative number, the answer will always be positive, so A must be the right answer

6 0

3 years ago

A parking lot is the shape of a regular hexagon. The distance from the entrance (A) to the exit (B) is 50 yards. What is the app

melisa1 [442]

Answer:

1623.8 square yards

Step-by-step explanation:

The area of a hexagon in terms of side length is ...

A = (3√3)/2·s²

The side length of a regular hexagon is half the diameter, so the area here is about ...

A = (3√3)/2·(25 yd)² ≈ 1623.8 yd²

3 0

3 years ago

Cans of regular Coke are labeled as containing 12 oz. Statistics students weighted the content of 5 randomly chosen cans, and fo

marishachu [46]

Answer: 0.0078

Step-by-step explanation:

We assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.12 oz.

As per given , we have

$\mu=12.00\ oz$ and $\sigma=0.12\ oz$

Sample size : n= 5

Let $\overline{X}$ be the sample mean amount of coke in can.

Then, the probability that a sample of 5 cans will have a mean amount of at least 12.13 oz will be :_

$P(\overline{x}\geq12.13)=1-P(\overline{x}$

$=1-P(z$

$= 1-0.9922=0.0078$ [By using z-table]

Hence, the required probability = 0.0078

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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