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2 years ago

If the diameter of a sphere is 1 meter, then what is its surface area? Leave your answer in terms of π= 3.14

2 answers:

4 0

Surface area of a sphere = 4 pi r^2

when r = 1/2 meter ( because diameter = 2r = 1) the surface area

= 4 * 3.14 * 0.5^2 = 3.14 square meters

umka21 [38]2 years ago

3 0

surface area = 4 x pi x r^2

diameter = 1 so radius = 1/2 = 0.5

4 x 3.14 x 0.5^2 = 3.14 meters^2

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An insurance adjuster processes the claims of six policy holders in an eight hour work day. The adjuster uses $5 in gasoline and

Bad White [126]

Answer:

Step-by-step explanation:

Labor productivity is is measured per hours.

Hence, the work he does [amount of claims] will be distributed amongst the amount of hours he works. The amount of dollar he uses <em>doesn't matter for labor productivity.</em>

<em />

Thus, his work is 6 claims. He does that is 8 hours. So claim/hr is:

6/8 = 0.75 claims per hour

Answer choice D is right.

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2 years ago

Mr.Hollins determines that he gives away $800 each month. If he gives away 16% of his budget, how much is his overall budget?

oee [108]

$\frac{800}{x} = \frac{16\%}{100\%} \\ \frac{80000}{16} = \frac{16x}{16} \\ 5000 = x$

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2 years ago

Which table contains only corresponding x-values and y-values where the value of y is one more than the product of x and 2?

Dmitry [639]

Answer:

Option (C)

Step-by-step explanation:

Value of y is more than the product of x and 2.

Equation representing the given condition will be,

y = 2x + 1

Therefore, by substituting the values of x in the equation we can get the table for the input - output values for the equation,

x 0 1 2 3 4

y 1 3 5 7 9

Therefore, table given in the Option (C) will be the correct option.

4 0

2 years ago

Caroline, Colin & Sarah share some money.

julia-pushkina [17]

Answer:

2/9

Step-by-step explanation:

After Caroline's share,

1 - 1/9 = 8/9 is left

Sarah gets:

1/(1+3) of 8/9

1/4 × 8/9

2/9

4 0

2 years ago

A company manufacturing oil seals wants to establish X and R control charts on the process. There are 25 preliminary samples of

alisha [4.7K]

Answer:

A ) i) X control chart : upper limit = 50.475, lower limit = 49.825

ii) R control chart : upper limit = 1.191, lower limit = 0

Step-by-step explanation:

A) Finding the control limits

grand sample mean = 1253.75 / 25 = 50.15

mean range = 14.08 / 25 = 0.5632

Based on X control CHART

The upper control limit ( UCL ) =

grand sample mean + A2* mean range ) = 50.15 + 0.577(0.5632) = 50.475

The lower control limit (LCL)=

grand sample mean - A2 * mean range = 50.15 - 0.577(0.5632) = 49.825

Based on R control charts

The upper limit = D4 * mean range = 2.114 * 0.5632 = 1.191

The lower control limit = D3 * mean range = 0 * 0.5632 = 0

B) estimate the process mean and standard deviation

estimated process mean = 50.15 = grand sample mean

standard deviation = mean range / d2 = 0.5632 / 2.326 = 0.2421

note d2 is obtained from control table

6 0

2 years ago