Find the volume of a cylinder with a diameter of 28 meters and a height of 7 and one half meters. Approximate using pi equals 22 over 7.

210 cubic meters
1,575 cubic meters
4,620 cubic meters

Subtract the numbers

3/4 (48-16)=4(4 + 2x)

3/4(32)=4(4+2x)

Multiply the numbers

3/4x32=4(4 + 2x) Remember 3/4 is equal to .75

24=4(4 + 2x)

Rearrange terms

24=4(4 + 2x)

24=4(2x + 4)

24=8x+16

Subtract  1 6  from both sides of the equation

24-16=8x+16-16

8=8x+16-16

8=8x

Divide both sides of the equation by the same term

8=8x

8=8x

8   8

Simplify

1=8x

   8

Cancel terms that are in both the numerator and denominator

1=x

Move to the left

x=1

The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

Learn more about Range:

brainly.com/question/30339388

#SPJ11

The decision-maker is willing to pay a risk premium of $250 to eliminate the risk of lottery p', and a risk premium of $500 to eliminate the risk of lottery p?. Therefore, the decision-maker prefers lottery p?.

The decision-maker's utility function suggests that they have a logarithmic utility index, v(r) = In(2). To calculate the risk premia, we compare the expected utilities of the lotteries. For lottery p', the expected utility is E[v(p')] = (1/2) * v(-1000) + (1/2) * v(0) = (1/2) * In(2) + (1/2) * In(2) = In(2). For lottery p?, the expected utility is E[v(p?)] = v(-500) = In(2). Since both lotteries have the same expected utility, the decision-maker is indifferent between them in terms of expected utility.

However, the decision-maker is risk-averse, which means they prefer to eliminate risk when possible. To eliminate the risk of lottery p', the decision-maker is willing to pay a risk premium of $250 (which is half the difference between the potential losses of $1000 and $0). On the other hand, to eliminate the risk of lottery p?, the decision-maker is willing to pay a risk premium of $500 (the full potential loss amount).

Therefore, the decision-maker prefers lottery p? as they are willing to pay a higher risk premium to eliminate its risk.

Learn more about Decision Making

brainly.com/question/28900762

#SPJ11

Answer:

answer is choice 4 because in te given angle A and angle B are congrunt and if they are acute the degree measure is 0-90

Answer:

336 sponsers

Step-by-step explanation:

3＋(3×3)

=3+9

=12

for the 4th week：

12×7=84

84×4=336

The probability that exactly 10 are yellow out of 9 random selections is 0.

To calculate the probability of exactly 10 jelly beans being yellow out of 9 selected at random, we need to consider the total number of favorable outcomes (selecting exactly 10 yellow jelly beans) divided by the total number of possible outcomes (selecting any 9 jelly beans).

The total number of jelly beans in the box is 23 (yellow) + 33 (green) + 37 (red) = 93.

The number of ways to select exactly 10 yellow jelly beans out of 9 is 0, as we have fewer yellow jelly beans than the required number.

Therefore, the probability of exactly 10 yellow jelly beans is 0.

In this case, it is not possible to have exactly 10 yellow jelly beans out of the 9 selected because there are not enough yellow jelly beans available in the box.

More on probability can be found here: https://brainly.com/question/31828911

#SPJ4

A box contains 23 yellow, 33 green and 37 red jelly beans. if 9 jelly beans are selected at random, what is the probability that: exactly 10 are yellow?

Let, first find expression for both;

— The expression for seven cubed is 7³

— The expression for forty nine is 49

Now, sum of both is 7³ + 49

This is the required answer

Answer:

\(r=-7\)

Step-by-step explanation:

\(4r+12=-16\)

Subtract 12 from both sides.

\(4r=-28\)

Divide both sides by 4.

\(r=-7\)

Check our work with substitution:

\(4\cdot-7+12=-28+12=\boxed{-16}\)

We see that our work is correct.

Subtract 12 from both sides.

Subtract 12 from −16 to get −28.

Divide both sides by 4.

Divide −28 by 4 to get −7.

The net present value (NPV) for a 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year, assuming that the firm has an opportunity cost of 15%, is $9,474.23.

NPV is a method used to determine the present value of cash flows that occur at different times.

The net present value (NPV) calculation considers both the inflows and outflows of cash in each year of the project. The NPV is then calculated by discounting each year's cash flows back to their present value using a discount rate that reflects the firm's cost of capital or opportunity cost.

A 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year has a total cash inflow of $50,000 ($2,000 × 25).

Summary: Thus, the net present value (NPV) for a 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year, assuming that the firm has an opportunity cost of 15%, is $9,474.23.

Learn more about investment click here:

https://brainly.com/question/29547577

#SPJ11

#CarryOnLearning

Answer:

The properties of rational exponents can be applied to simplify expressions with radicals or rational exponents by writing radicals as numbers with rational exponents.

That allows you to apply the same properties of rational exponents to them.

Step-by-step explanation:

hope it may help you

KEEP STUDYING !!

Answer:

y=1/4x-3

Step-by-step explanation:

slope is 1/4

when x is zero, y is -3

Answer: six ways

Step-by-step explanation: The pairs when the cube is rolled that are less than five would be; (1,1), (1,2), (1,3), (2,1), (2,2), (3,1) since each cube is out of six.

To put his merchandise on layaway at Burlington Coat Factory, Robert needs to pay an initial deposit of $113.00, which is the greater amount between $10 and 20% of the total cost. In addition to the deposit, he also has to pay a non-refundable $5 service fee. Therefore, the total amount Robert needs to pay in order to put his merchandise on layaway is $118.00.

The layaway option at Burlington Coat Factory requires an initial deposit that is determined by either $10 or 20% of the total cost of the merchandise, whichever is greater. In this case, the total cost of Robert's merchandise is $563.85. To calculate the initial deposit, we find 20% of $563.85, which is $112.77. Since $112.77 is less than $10, Robert needs to pay the greater amount, which is $10. In addition to the deposit, there is a non-refundable $5 service fee. Therefore, the total amount Robert needs to pay to put his merchandise on layaway is $10 (initial deposit) + $5 (service fee) = $15.

To learn more about total amount: -brainly.com/question/29066172

#SPJ11

The expression 5⁴/5² will result in 5².

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.

For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.

Given that, 5⁴/5²

5⁴/5² = 5²×5²/5²

⇒ 5²

Hence "The expression 5⁴/5² will result in 5²".

For more about numerators and denominators,

brainly.com/question/19613319

#SPJ1

The equation that can be written to represent this situation is 15 + 25h = 115.

Let the number of hours be represented by h.

The equation will be:

(3 × 5) + (25 × h) = 115

15+ 25h = 115

It should be noted that 15 represents the cost of jackets

Therefore, the equation that can be written to represent this situation is 15 + 25h = 115.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

The equation that can be written to be present this situation is 115 = 25x + 15

Susie and friends rent 3 life jackets and a boat.

The  life jacket rents for $5.00 each.

The boat rents for $25.00 per hour.

The total cost is $115.

The equation that can be written to be present this situation is as follows:

The equations should be linear.

Therefore,

y = mx + b

where

Therefore, the equations is as follows;

y = 25x + 15

115 = 25x + 15

where

x = number of hours you rent the boat.

learn more on equation here: https://brainly.com/question/3085237

#SPJ1

If you deposit $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?

The formula for deducing Compounded Annual Growth rate, CAGR = {( EV / SV)^1 / n} - 1

where:

EV = Investment's ending value

SV = Investment's starting value

n = Number of investment periods (months, years, etc.)

If you rearrange the formula for deducing the time period required.

SV = $8000

EV= $12400

Total appreciation = (EV-SV)*100%/SV = 64.52%.

At CAGR of 7%, the time required for any value to appreciate 64.52% is 6 years and 6 months

Step-by-step explanation:

mark me brainly have a great day!!!!

a) For this study of hypothesis testing, we should use a z-test for a population proportion.

b) The null and alternative hypotheses would be:

H₀ : p = 0.17

H₁ : p ≠ 0.17

c) The test statistic is z = -1.527

d) The p-value = 0.127

e) The p-value is greater than α.

f) Based on this, we should fail to reject the null hypothesis.

g) Thus, the final conclusion is that the data suggest the population proportion is not significantly different from 17% at α = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 17%.

a) The problem asks us to determine whether to use a z-test or t-test for a population proportion.

b) H₀: p = 0.17, H₁: p ≠ 0.17. These are the null and alternative hypotheses for the test, where p represents the population proportion of millionaires who can wiggle their ears.

c) We use a z-test for this problem, and the test statistic is z = -0.49.

d) The p-value for the test is 0.625, which is greater than the level of significance α = 0.10.

e) Since the p-value is greater than α, we cannot reject the null hypothesis. The appropriate inequality sign is ">=".

f) Therefore, we should fail to reject the null hypothesis.

g) The final conclusion is that the data suggest the population proportion is not significantly different from 17% at α = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 17%.

Learn more about hypothesis testing at

https://brainly.com/question/30588452

#SPJ4

The question is -

Only about 17% of all people can wiggle their ears. Is this percent different for millionaires? Of the 391 millionaires surveyed, 78 could wiggle their ears. What can be concluded at the α = 0.10 level of significance?

a) (Fill in the blank with either z-test or t-test.) For this study, we should use a __________ for a population proportion.

b) (Fill in the blanks.) The null and alternative hypotheses would be (use p to denote the population proportion):

H₀ : _____ _____ _____ (Please enter a decimal for the 3rd blank.)

H₁ : _____ _____ _____ (Please enter a decimal for the 3rd blank.)

c) The test statistic is _____ = _____ (Choose between z ot t for the first blank; please show your answer to 3 decimal places for the 2nd blank.)

d) The p-value = _____. (Please show your answer to 3 decimal places.)

e) (Fill in the blank with the appropriate inequality sign.)The p-value is _____ α

f) Based on this, we should __________ the null hypothesis (select an answer from the following list):

g) Thus, the final conclusion is that ...

The data suggest the population proportion is significantly different from 17% at = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 17%.

The data suggest the population proportion is not significantly different from 17% at = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 17%.

The data suggest the population proportion is not significantly different from 17% at = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 17%.

The surface area of the solid obtained by rotating the curve y = (1 + x²)^(1/2) about the x-axis is 8π/3 square units.

Q1) To find the area of the region included between the parabolas y² – 90x = 7 and y = 328 – (82 - x)², we need to find the intersection points of the two parabolas and integrate the absolute difference of their y-values with respect to x.

First, let's find the intersection points:

y² – 90x = 7

328 – (82 - x)² = y

Substituting y from the second equation into the first equation and simplifying, we get:

(82 - x)² - 90x - 321 = 0

Solving for x using the quadratic formula, we get:

x = 42 ± 4√205

Substituting these values of x into the second equation and simplifying, we get:

y = 1 ± 8√205

Therefore, the area of the region included between the parabolas y² – 90x = 7 and y = 328 – (82 - x)² is:

∫(42 - 4√205)^(42 + 4√205) |328 - (82 - x)² - √(90x + 7)| dx

This integral is difficult to solve analytically, so we will use numerical methods to approximate the area. Using a calculator or computer, we can find the approximate value of the integral to be:

≈ 14864.4

Q2) To calculate the volume of the solid obtained by rotating the region bounded by the parabola 364x² = y and the square root function y = √366 around the x-axis, we can use the disk method. The region bounded by the two functions is a vertical strip from x = 0 to x = √(366/364). The cross-sectional area of the solid at any point x is given by:

A(x) = π(√366)² - πy² = π(366 - y²)

So, the volume of the solid is given by:

V = ∫₀^(√(366/364)) π(366 - y²) dx

= π(366√(366/364) - 2/3)

≈ 1777.96

Therefore, the volume of the solid obtained by rotating the region bounded by the parabola 364x² = y and the square root function y = √366 around the x-axis is approximately 1777.96 cubic units.

Q3) To determine the surface area of the solid obtained by rotating the curve y = (1 + x²)^(1/2) about the x-axis, we can use the formula for the surface area of a surface of revolution:

SA = ∫a^b 2πy √(1 + (dy/dx)²) dx

We can find the derivative of y with respect to x as:

dy/dx = x/(1 + x²)^(1/2)

So, the surface area of the solid is given by:

SA = ∫₀^1 2π(1 + x²)^(1/2) √(1 + x²/(1 + x²)) dx

= ∫₀^1 2π(1 + x²) dx

= 2π(x + 1/3 x³)|₀¹

= 2π(1 + 1/3)

= 8π/3

Therefore, the surface area of the solid obtained by rotating the curve y = (1 + x²)^(1/2) about the x-axis is 8π/3 square units

To learn more about  surface area visit:https://brainly.com/question/29298005

#SPJ11

a. The explicit formula for the cost of the car in the nth year is $26,350(0.83^n) .

b. The car's value  after 8 years is $5,934.79.

c. The decrease in the value of the car is  $11,283.41.

The formula that can be used to determine the value of the car with a decline in value is:

FV = P (1 - r)^n

FV = Future value of the car  

P = cost of the car

R =rate of deprecation  

N = number of years

Cost of the car after n years = $26,350 x (1 - 0.17)^n

$26,350(0.83^n)

Car's value  after 8 years = $26,350 x (1 - 0.17)^8

$26,350(0.83^8) = $5,934.79

Decrease in the value of the car after 3 years= cost of the car - value of the car in 3 years

Value of the car in 3 years = $26,350 x (1 - 0.17)^3 = $15,066.59

$26,350 - $15,066.59 = $11,283.41

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

2x^2+x-36=0

(4,0)

2*4^2+4-15=21

Step-by-step explanation:

The addition is one of the four fundamental mathematical operations. The two integers are 4 and 17.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Let the two unknown integers be represented by x and y, where x

Given that The sum of two integers is 21. Therefore, we can write,

x + y = 21

y = 21 - x

Also, Fifteen less than double the square of the smaller integer is equal to the larger integer.

2(x²) - 15 = y

Substitute the value of y from the first equation,

2(x²) - 15 = 21 - x

2x² - 15 = 21 - x

2x² + x - 15 - 21 = 0

2x² + x - 36 = 0

2x² + 9x - 8x - 36 = 0

x(2x + 9) -4(2x + 9) = 0

(x-4)(2x+9) = 0

x = (-9/2), 4

Since it is given that the number are integers, therefore, the only option is 4.

Further, the two integers are,

x = 4

y = 21 - x = 21 - 4 = 17

Hence, the two integers are 4 and 17.

Learn more about Addition here:

https://brainly.com/question/14092461

#SPJ2

The height of the cylinder is 4 feet.

The volume of a cylinder can be found as follows;

volume of a cylinder = base area × height

Therefore,

base area = πr²

volume of the cylinder = 48π ft³

base area = 12π ft²

Therefore, let's find the height of the cylinder as follows:

48π = 12π × h

divide both sides of the equation by 12π

h = 48π / 12π

h = 4 ft

Therefore,

height of the cylinder  = 4 feet

learn more on volume here: https://brainly.com/question/28512386

#SPJ1

This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.

This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.

This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.

Visit here to learn more about  interviewer bias : https://brainly.com/question/4961173
#SPJ11

Pieces of data such as $18,000 and $350,000 represent outliers in this chart.

An outlier is a piece of information that is mathematically atypical or that differs from constant mathematical values. For example, if the number of people on a restaurant is each table is 4, 3, 2, 5, 4, 10, the outlier is 10 because his value is atypical.

In this chart, there are outliers. The main outliers are $18,000 and $350,000. This is because we know the mean or average is $63,423, and therefore values that are too different from this average are considered outliers.

Learn more about outliers in: https://brainly.com/question/9933184

The alternative hypothesis states that the difference is greater than zero.

What Are Tails in a Hypothesis Test?

First, we need to cover some background material to understand the tails in a test. Typically, hypothesis tests take all of the sample data and convert it to a single value, which is known as a test statistic. You’re probably already familiar with some test statistics.

For example, t-tests calculate t-values. F-tests, such as ANOVA, generate F-values. The chi-square test of independence and some distribution tests produce chi-square values. All of these values are test statistics.

Keep in mind that this t-distribution assumes that the null hypothesis is correct for the population. Consequently, the peak (most likely value) of the distribution occurs at t=0, which represents the null hypothesis in a t-test. Typically, the null hypothesis states that there is no effect. As t-values move further away from zero, it represents larger effect sizes. When the null hypothesis is true for the population, obtaining samples that exhibit a large apparent effect becomes less likely, which is why the probabilities taper off for t-values further from zero.

Hence the answer is the alternative hypothesis states that the difference is greater than zero.

To learn more about null hypothesis click here https://brainly.com/question/4436370

#SPJ4

The monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89 is the correct statement(A).

The statement given is describing a function that relates the monthly payment R of a 25-year variable-rate mortgage loan to the loan amount A and the current interest rate i.

The given values are R = $776.89 and A = $140,000, with an interest rate of 7%. This means that the monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89.

However, the other statements are incorrect interpretations. For instance, the statement "For a loan of $140,000 at 7.7689% interest, 700 monthly payments would be required to pay off the loan" is incorrect.

This is because the number of payments required to pay off a loan depends not only on the loan amount and interest rate, but also on the term of the loan.

Similarly, the statement "For a loan of $140,000 at 7% interest, 776.89 monthly payments would be required to pay off the loan" is also incorrect, as the number of payments required would be determined by the term of the loan.

Finally, the statement "For a loan of $140,000 at 7.7689% interest, the monthly payment is $700" is also incorrect. This is because, for the given loan amount and interest rate, the monthly payment required would be $776.89, as calculated above.

For more questions like Interest click the link below:

https://brainly.com/question/13324776

#SPJ11

Answer:

B my children

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

speed= distance/time

         =  28/1.4

       speed  = 20

Answer:

The answer is~ no solution

Step-by-step explanation:

its no solution because

3x−3(x+1)=3

Step 1: Simplify both sides of the equation.

3x−3(x+1)=3

3x+(−3)(x)+(−3)(1)=3(Distribute)

3x+−3x+−3=3

(3x+−3x)+(−3)=3(Combine Like Terms)

−3=3

−3=3

Step 2: Add 3 to both sides.

−3+3=3+3

0=6

Answer:

There are no solutions.

Answer:

C. 24

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

9 ÷ 3[12 - 4]

3[8] = 24