Mike needs to buy a water tank. The tank must fit inside a storage box that is shaped like a cube with the side lengths of 30 feet. Water tanks are available in cylinders, cones, square pyramids, and spheres. Mike wants to buy the tank that has the largest capacity. What shape tank should Mike buy?

Answer:

253 boxes

Step-by-step explanation:

757/3 = 252.33

The gym charges $41.5 per month.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

One time fee of gym = $59

Justine will pay after one year = $557

So, gym fees per year = $557 - $59

⇒ gym fees per year = $498

∴ gym fees per month = gym fees per year / 12

⇒ gym fees per month = $498/12

⇒ gym fees per month = $41.50

Thus,the gym charges $41.50 per month.

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Answer:

hello your question is poorly written attached below is the complete question

answer

a)  ( 1.9802 , 1.9998 )

b) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean.

c)  A single value of 2.02 is not unusual

d)   (1.9602, 1.9798)

Step-by-step explanation:

A) set up 95% confidence interval estimate

std = 0.05 liter

average ( mean ) X = 1.99 liters

n = 100

95% confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )

                                         = 1.99 ± 1.96 ( 0.05 / √100 )

                                         = ( 1.9802 , 1.9998 )

B) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean. as seen in this scenerio the value of n > 30 and sampling distribution of X  is required instead

C) A single value of 2.02 is not unusual because the confidence interval we calculated above is for 100 samples of the soft drink ( using true population mean ) but when we calculate for a one sample we will observe that the value ( 2.02 ) will not be unusual e.g. ( 2 ± 2*0.05 ) = ( 1.9, 2.1 )

D) when the sample average ( X )  = 1.97

confidence interval =  X ± [tex]Z_{95%}[/tex] ( std / √n )

                                = 1.97 ± 1.96 ( 0.05 / √100 )

                                =  (1.9602, 1.9798)

There are four sub-parts in the question, whose answers are mentioned below:

Given information:

Mean of sample = [tex]\overline{x}[/tex] =1.99

Standard deviation of population= [tex]\sigma[/tex] = 0.05

Size of sample = n = 100

Part a: Setting 95% confidence interval

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.99 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9802, 1.9998)\\[/tex]

Part b: Yes, the population has to be normally distributed here, since the CI here cannot be calculated without it being normally distributed.

Part c: It is because we took n = 100 and not for single value of observation. The single value of observation has 2 liter or value is 2, and 2.02 is near 2 thus not an unusual value.

Part d: If sample average be 1.97, then CI will be as follows:

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.97 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9602, 1.9798)\\[/tex]

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Answer:

A. horizontal because -4 and -4 are on the same line... it's coordinate planes it's always over then up so your line will be horizontal going from 3 to 14

Answer:

12

Step-by-step explanation:

First,

Add 45+52+15

Then the answer will be 112

Then -(minus) from 100

Answer:

18 students

Step-by-step explanation:

45 - 15 = 30 students only read physics

52 - 15 = 37 students only read chemistry

15 students read both

add all of them:

30 + 37 + 15 = 82

subtract the sum from 100

100 - 82 = 18

18 students doesn't study neither

Answer:

Franklin Delano Roosevelt, often referred to by his initials FDR, was an American politician who served as the 32nd president of the United States from 1933 until his death in 1945. A member of the Democratic Party, he won a record four presidential elections and became a central figure in world events during the first half of the 20th century. Roosevelt directed the federal government during most of the Great Depression, implementing his New Deal domestic agenda in response to the worst economic crisis in U.S. history. As a dominant leader of his party, he built the New Deal Coalition, which defined modern liberalism in the United States throughout the middle third of the 20th century. His third and fourth terms were dominated by World War II, which ended shortly after he died in office.

Step-by-step explanation:

to this ‘Great Man Theory’ it can be said that Franklin Delano Roosevelt upheld his victorious and highly regarded government through means of social, economic and political reforms, as well as ambitious personal and strategic decisions that have successfully remained influential to American society today and maintained his image as a prominent historic leader.

Answer:

a=81.0

there ya go

Answer:

X=10,503

Step-by-step explanation:

x+9=16×657

X+9=10,512

X=10,512-9

X=10,503

Answer:

The answer is B) 152

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

0.266 percent

Step-by-step explanation:

With labor increasing by 1 percent, we are to find how much level of production would also increase given the coubglas function in the question.

Level of production = ∆Q/Q

We differentiate the function Q with respect to Labour, L.

∆Q/∆L = 0.266Q/L

∆Q/Q = 0.266∆L/L

∆L/L = 1

∆Q/Q x 100 = 1 *0.266

= 0.266%

Please refer to the attachment

Answer:

76/100 or simplified into 19/25

Answer:

Step-by-step explanation:

76/100

Answer:

Stratified random

Step-by-step explanation:

got it right

Answer:

C

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

ans.................

The building will be making 90° with the ground/horizontal.

Then we can apply Pythagoras theorem.

(Base)² + (Height)² = (Hypotenuse)²

=> x² + (12 foot)² = (37 foot)²

=> x² = (37 foot)² - (12 foot)²

We can expand LHS using a² - b² = (a + b)(a - b)

=> x² = (37 + 12 foot)(37 - 12 foot)

=> x² = 49 * 25 foot²

=> x² = (7 * 5)² foot²

=> x = 7 * 5 foot

=> x = 35 foot.

30.) d=26

Take the equation

2 x (7 + d)

Now plugin 6 for d

2 x (7 + 6)

2 x (13)

26

31.) c

Take the equation

16b+8/2

Now plugin 4 for b

16(4)+8/2

64+8/2

64+4

68

Answer:

C. (6 × 5) × 2 = 60 m³

D. 5 × (6 × 2)

E. (2 × 5) × 6

Step-by-step explanation:

Volume of a rectangular prism can be given as, V = L*W*H

L = 6

W = 5

H = 2

However, whichever way we choose to use as either L, W, or H, we would still get the same value as the volume.

Thus:

✔️V = (6 × 5) × 2 = 60 m³

✔️V = 5 × (6 × 2) = 60 m³

✔️V = (2 × 5) × 6 = 60 m³

These are the three expressions that can be used to find the volume.

Answer:

C

Step-by-step explanation:

We want to integrate:

[tex]\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx[/tex]

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

[tex]u=4x^5+15x+2[/tex]

By differentiating both sides with respect to x:

[tex]\displaystyle \frac{du}{dx}=20x^4+15[/tex]

We can "multiply" both sides by dx:

[tex]du=20x^4+15\,dx[/tex]

And divide both sides by 5:

[tex]\displaystyle \frac{1}{5}\, du=4x^4+3\,dx[/tex]

Rewriting our original integral yields:

[tex]\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)[/tex]

Substitute:

[tex]\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)[/tex]

Simplify:

[tex]\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du[/tex]

This is a common integral:

[tex]\displaystyle =\frac{1}{5}\ln|u|[/tex]

Back-substitute. Of course, we need the constant of integration:

[tex]\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C[/tex]

Our answer is C.

Answer:

1

Step-by-step explanation:

Step-by-step explanation:

Boys

[tex]20 + (20 \div 100)30 = \\ = 20 + 0.2 \times 30 = \\ = 20 + 6 = \\26[/tex]

Girls

[tex]26 - (26 \div 100)15 = \\ = 26 - 0.26 \times 15 = \\ = 26 - 3.9 = \\ = 22[/tex]

Total last year 46

Total this year 48

Increase

Answer: Hello the statement related to your question is missing attached below is the statement

answer : The statement is false

Step-by-step explanation:

The statement is false

This is because a confidence interval gives a range of values for an unknown parameter.

A 95% confidence interval is calculated and it gives a lower and upper limit in which the 58% of the voters can fall into i.e. The 58% of voters can fall within the upper and lower limit of the 95% confidence interval and not exactly 95% . Hence the statement is false.

Answer:

1. 60, 122 feet

2. a + s = 12

6a + 4s = 59

Step-by-step explanation:

I can't do all of them but I'll do the first 2:

1.

let w be the width of the rectangle

Then the length would be 2w + 2

Using those, the perimeter would be:

2w + 2 + 2w +2 + w + w = 364

solving:

[tex]6w + 4 = 364\\6w = 360\\w = 60[/tex]

This means the length would be:

[tex]2(60)+2\\120 + 2\\122[/tex]

2.

let a be the number of adult tickets

let s be the number of student tickets

Then:

The total number of tickets is 12, so:

a + s = 12

And the total cost is 59, so:

6a + 4s = 59

Answer:

a) 1.6 x 10 ^6 dollars.

Step-by-step explanation:

since President Ronald Reagan served for 8 years. So the total amount of money that he earned is 2 x 10^5 x 8 = 16 x 10 ^ 5 = 1.6 x 10^6 dollars.

Answer:

21

Step-by-step explanation:

84/12=7x3=21

Answer:

The answer is A. 3x + 3

Step-by-step explanation:

Umm yea its that