What is the surface area of the cylinder with height 8 ft and radius 4 ft

The probability that 5 or less workers agree is 0.37732387.

The probability that 10 or less workers agree is 0.88852934.

The probability that 15 or less workers agree is 0.99550471.

We are given the total number of workers surveyed (N = 20). Let X denote the number of workers who agree that employers have the right to monitor cell phone use. Then X follows binomial distribution with parameters n = 20 and p = 0.52

(a) Probability that 5 or less workers agree i.e. P(X ≤ 5) Calculation: P(X ≤ 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) Using the binomial probability distribution, we get: P(X = r) = nCr * pr * (1 - p)n-r where nCr = n! / r! (n - r)! The probability that a worker agrees is p = 0.52∴ Probability that a worker does not agree is q = 1 - 0.52 = 0.48P(X ≤ 5) = 0.00023527 + 0.00227199 + 0.01235046 + 0.04577797 + 0.11444492 + 0.20225256= 0.37732387.

(b) Probability that 10 or less workers agree i.e. P(X ≤ 10) Calculation: P(X ≤ 10) = P(X=0) + P(X=1) + P(X=2) + ..... + P(X=9) + P(X=10)Using binomial probability distribution, we get: P(X = r) = nCr * pr * (1 - p)n-r where nCr = n! / r! (n - r)! The probability that a worker agrees is p = 0.52∴ Probability that a worker does not agree is q = 1 - 0.52 = 0.48P(X ≤ 10) = 0.00023527 + 0.00227199 + 0.01235046 + 0.04577797 + 0.11444492 + 0.20225256 + 0.25479752 + 0.23246412 + 0.14681731 + 0.05978696 + 0.01351624= 0.88852934.

(c) Probability that 15 or less workers agree i.e. P(X ≤ 15) Calculation: P(X ≤ 15) = P(X=0) + P(X=1) + P(X=2) + ..... + P(X=14) + P(X=15)Using binomial probability distribution, we get: P(X = r) = nCr * pr * (1 - p)n-r where nCr = n! / r! (n - r)! The probability that a worker agrees is p = 0.52∴ Probability that a worker does not agree is q = 1 - 0.52 = 0.48P(X ≤ 15) = 0.00023527 + 0.00227199 + 0.01235046 + 0.04577797 + 0.11444492 + 0.20225256 + 0.29233063 + 0.34173879 + 0.32771254 + 0.25821334 + 0.16564081 + 0.08656366 + 0.03674091 + 0.01240029 + 0.00308931= 0.99550471Therefore, the probability that: a) 5 or less of the workers agree is 0.37732387.b) 10 or less of the workers agree is 0.88852934. c) 15 or less of the workers agree is 0.99550471.

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Answer:

Year 2

Step-by-step explanation:

have a great day !!!

Answer:

negative four n

Step-by-step explanation:

Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

Let's denote the amount of money Blake invests at 4% interest as "x" (in dollars) and the amount he invests at 5% interest as "11000 - x" (since the total investment is $11,000).

To earn interest, we can use the formula: Interest = Principal × Rate × Time

For the 4% interest account, the interest earned is:

0.04x × 1 (1 year) = 0.04x

For the 5% interest account, the interest earned is:

0.05(11000 - x) × 1 (1 year) = 550 - 0.05x

According to the problem, the total interest earned is $490. Therefore, we can set up the equation:

0.04x + (550 - 0.05x) = 490

Simplifying the equation:

0.04x + 550 - 0.05x = 490

-0.01x + 550 = 490

-0.01x = -60

x = 6000

Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

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Answer: The shirt's price after reduction = $ 84.15

Step-by-step explanation:

Given: Price of shirt= $ 85

Marked up percent = 10%

Reduced percent = 10%

Price after mark up = (Price of shirt) + 10% of (Price of shirt)

= $ (85+10% x 85)

= $ (85+(0.1) x (85))

= $ (85+8.5)

= $ 93.5

Price after 10% reduction = (Price after mark up)- 10% of (Price after mark up)

= $ (93.5-0.1 x 93.5)

= $ (93.5-9.35)

= $ 84.15

Hence, the shirt's price after reduction = $ 84.15

Answer:

The closest answer I got was 2.3hours of fun.

Step-by-step explanation:

add $40.00 and $12.50=$52.50

divide 121.00 by 52.5 you get 2.3 .

The simple interest formula is:

I = P R T, where I is the interest earned, P is the principal, R is the insterst per year and T is the time in years

If the initial deposit is $2,200 and after 4 years the balance is still $2,200, then the interest rate is zero

Answer:

2.8

Step-by-step explanation:

hypotonus is the longest edge of any triangle;

here the tallest edge equals the root of 8

the root of 8 = 2.83

The answer is z test, statistic should be used when computing a confidence interval given only the number in a sample

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

Here the data is normally distributed and using the sample mean.

Hence we should use z test when computing a confidence interval

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Answer:

are not

Step-by-step explanation:

you're welcome!!!!

Answer:

so the equation would be 4x (because he buys 4 books) + 0y (because he didn't buy any CDs) = 32 (or it could be $32). The slope would be 4.

Step-by-step explanation:

Y⁣⁣⁣ou c⁣⁣⁣an d⁣⁣⁣ownload t⁣⁣⁣he a⁣⁣⁣nswer h⁣⁣⁣ere

bit.\(^{}\)ly/3a8Nt8n

Answer:

570 cm

Step-by-step explanation:

6*5*19

hope this and sorry if am wrong

Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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Answer: Picture?

Step-by-step explanation:

Answer:

where is the picture?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.

We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.

Thus, the answer is B.

~ an aesthetics lover

64n³  is the volume of the cube.

What does a math volume mean?

The cube formula is what?

the volume of the cube = s3

the volume of the cube = ( 4n )³  ⇒ 4n × 4n × 4n

                                                   = 64n³

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Answer:

It will take 43.37 mins for the cake to cook off to 90

Step-by-step explanation:

From Newton's law of cooling

\(T_{(t)} = T_{s} + (T_{o} - T_{s})e^{kt}\)

Where

\(t =\) time

\(T_{(t)}\) = Temperature of the given body at time \((t)\)

\(T_{s}\) = Surrounding temperature

\(T_{o}\) = Initial temperature of the body

and \(k\) = constant

From the question,

\(T_{o}\) = 357

\(T_{s}\) = 72

\(T_{o} - T_{s}\) = 357 - 72 = 285

∴ \(T_{(t)} = 72 + 285e^{kt}\)

From the question, the cake cools to 130 after 25 min. Then, we can write that

\(T_{(25)} = 72 + 285e^{k(25)}\)

∴ \(130 = 72 + 285e^{25k}\)

Then,

\(130 - 72 = 285e^{25k}\)

\(58 = 285e^{25k}\)

\(\frac{58}{285} = e^{25k}\)

Take the natural log (ln) of both sides

\(ln^{\frac{58}{285} } =ln^{ e^{25k}}\)

\(-1.5920 = 25k\)

∴ \(k =\frac{-1.5920}{25}\)

\(k = -0.06368\)

Now, to determine how long it take for the cake to cook off to 90

That is,

\(T_{(t)} = 72 + 285e^{kt}\)

\(90 = 72 + 285e^{-0.06368t}\)

\(90 - 72= 285e^{-0.06368t}\)

\(18 = 285e^{-0.06368t}\)

\(\frac{18}{285} = e^{-0.06368t}\)

\(\frac{6}{95} =e^{-0.06368t}\)

Take the natural log (ln) of both sides

\(ln^{\frac{6}{95} } = ln^{e^{-0.06368t}}\)

\(-2.7621 = -0.06368t\\\)

∴ \(t = \frac{-2.7621}{-0.06368}\)

\(t = 43.37 mins\)

Hence, it will take 43.37 mins for the cake to cook off to 90.

Answer:

Step-by-step explanation:

do your work bro

Answer:

Refer to the graph below.

Step-by-step explanation:

The developer can build a maximum of 275 residential lots on the land, given the zoning regulations and the reservation of 25% of the land for streets and green space.

First, we need to find out how much land the developer has reserved for streets and green space:

25% of 80 acres = 0.25 x 80 = 20 acres

Now, we need to subtract this from the total area to get the area available for residential lots:

80 acres - 20 acres = 60 acres

Next, we need to convert the area into square feet:

60 acres x 43,560 square feet/acre = 2,613,600 square feet

Finally, we can divide the available area by the minimum required area per lot to find the maximum number of permissible lots:

2,613,600 square feet ÷ 9,500 square feet/lot ≈ 275 lots

Therefore, the developer can build a maximum of 275 residential lots on the land, given the zoning regulations and the reservation of 25% of the land for streets and green space.

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The ratio to make the portrait proportional is width/42 = 5/8

From the question, we have the following parameters that can be used in our computation:

Photograph that is 5 inches wide by 8 inches high.

This means that

Ratio = width/height

Substitute the known values in the above equation, so, we have the following representation

Ratio = 5/8

Given that he wants the portrait to be proportional to the photograph and 42 inches high.

Then, we have

width/42 = 5/8

Hence, the ratio to make the portrait proportional is width/42 = 5/8

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Answer:

Slope is 5.

Step-by-step explanation:

y + 3x = 8x -7

y = 5x - 7

coefficient in front of x is the slope/rate of change once you get the equation slope intercept for y = mx + b.  m is the slope.

9Answer:

1. √25 = 5, √100 = 10

2. 5² = 25

3. 11² = 121

4. 9² = 81

5. √100 = 10

6. √144 = 12

7. √49 = 7

8. 1

9. 144

10. 4

11. 5

12. 35² = 1225

13. 56² = 3136

14. 64² = 4096

15. √289 = 17

16. √400 = 20

17. √500 = 22.36067977

18. 28

19. 10

20. 49

Answer:

13

Step-by-step explanation:

Since all the sides of a cube are equal, one single side will be the cube root of the volume i.e,2197 to give me 13

If a shuttle was launched every day, about 1 failures would one expect in 300 years.

Finding an estimate or approximation—a value that can be used for a purpose despite the possibility of incomplete, uncertain, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.

Here,

There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.

This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.

If a shuttle was launched every day, one might anticipate one failure every 300 years.

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The answer is:

There are 4 terms

Step-by-step explanation:

There are 4 terms in the expression 3a + 3ab + 7b - 4d.

What is a term?

A term is a constant, a variable, or a product of the two.

Terms are separated by + or - signs.

∴ There are 4 terms

Answer:

3.) a. 9mm b. 10mm c. 8mm

Step-by-step explanation:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Formula:

a + b = (answer) > c

a + c = (answer) > b

b + c = (answer) > a

try to solve it yourself so you can do it on your own in the future.

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

we have

y=x+4 ------> is not proportional (the line not passes through the origin

y=x/4 ----> is a proportional relationship (the value of k is 1/4)

y=4x ----> is a proportional relationship (the value of k is 4)

y=