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3 years ago

Please help me thanks please

Mathematics

1 answer:

Ludmilka [50]3 years ago

6 0

Answer: 3234 cubic units

Step-by-step explanation:

Volume of cylinder: πr²h

The diameter of the cylinder is 14 units so the radius is 7 units.

Now we'll substitute.

π = 22/7

h = 21

πr²h

π × 7² × 21

22/7 × 49 × 21 = 3,234

The volume is 3,234 cubic units.

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How many fixed-requirement constraints does a transportation problem with 5 factories and 6 customers have?a. 30.b. 11.c. 6.d. 5

bulgar [2K]

Answer:

Option B

Step-by-step explanation:

From the question we are told that:

Demand point $m=5$

Supply Point $n=6$

Generally the equation for fixed-requirement constraints is mathematically given by

$X=m+n$

$X=5+6$

$X=11$

Therefore the correct option is

Option B

7 0

2 years ago

Your company is considering submitting a bid on a major project. You determine that the expected completion time is 130 weeks an

Olenka [21]

Answer:

Option C) 146.5

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 130 weeks

Standard Deviation, σ = 10 weeks

We are given that the distribution of completion time is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X<x) = 0.95

We have to find the value of x such that the probability is 0.95

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 130}{10})=0.95$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 130}{10} = 1.645\\x = 146.45 \approx 146.5$

The project should be completed in 146.5 weeks or less.

Hence, 146.5 weeks should be set the due date such that there is a 95 percent chance that the project will be finished by this time.

7 0

3 years ago

Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who

IrinaVladis [17]

Answer:

Step-by-step explanation:

<u>Given:</u>

There were 120 people in total.

60% were parents.

Number of parents attended.

Solution:

1. 60% of 120

It can also be written as:

$\frac{60}{100}\times \frac{120}{1}$

Simplify

Cancel zeros

$\frac{60}{100}\\\\=\frac{6}{10}$

Divide by common factor (2)

$\frac{6\div2}{10\div2}=\frac{3}{5}$

2. $\bold{\frac{3}{5}\times \frac{120}{1}}$

Multiply

$\frac{3\times120}{5\times1} = \frac{360}{5}$

Divide

$\frac{360}{5}= 360\div5=72$

Therefore, 72 parents attended the game.

4 0

3 years ago

This system has one solution, what is the y-coordinate of the solution.

Lyrx [107]

The coordinates would be -3, 10.
This Website helps a lot. www.meta-calculator.com

5 0

3 years ago

The area of a rectangle is 24 square inches. Determine both dimensions if the length is 6 inches less than three times the width

Rama09 [41]

Answer:

width is 4 inches

length is 6 inches

Step-by-step explanation:

the length is 6 inches less than three times the width

l = 3w - 6

a = l * w

a = (3w - 6)w

a = 3w^2 - 6w

area of the rectangle is 24 square inches

3w^2 - 6w = 24

subtract 24 from both sides

3w^2 - 6w - 24 = 0

Divide both sides by 3

w^2 - 2w - 8 = 0

Factor

(w - 4)(w + 2) = 0

w = {-2, 4}

disregard the negative root since measurement must be positive

w = 4

l = 3w - 6

l = 3(4) - 6

l = 6

3 0

3 years ago