help, I don't understand ​

Answer:

4.25

Step-by-step explanation:

17/4

= 4.25

I hope it helps! Have a great day!

Muffin ^^

Answer:

4.25

Step-by-step explanation:

The answer is 4.25 because you have to divide the feet by min and when you do that you get 4.25.

I hope it helps! Have a great day!

bren~

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Solution of the inequality 4|x + 2| < 8 is given by x > -4 and x<0.

Solution from the given graph is option B where open interval x<0 and open interval x > -4 is shown.

As given in the question,

Given inequality is :

4|x + 2| < 8

Divide by 4 both the side of inequality we get,

⇒(4|x + 2|)/ 4 < 8/4

⇒|x+2| < 2

⇒ (x+2) < 2  or (x+2) >-2

⇒ x< 2-2 or x > -2 -2

⇒ x < 0 or x > -4

Solution of its graph is shown by option B number line where open interval -4 is greater than and less than open interval 0.

Therefore, solution of the inequality 4|x + 2| < 8 is given by x > -4 and x<0.

Solution from the given graph is option B where open interval x<0 and open interval x > -4 is shown.

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3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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Answer:

F √3/2

Step-by-step explanation:

I had quiz on it and it's on the unit circle

Answer:

I think D. 1/√3

Step-by-step explanation:

When we do a z-test for the difference between proportions, we need to calculate the pooled proportion in order to obtain an accurate estimate of the true proportion of the population. The method used to calculate the pooled proportion makes sense because it takes into account the sample sizes and the observed proportions of both groups.

The pooled proportion is calculated as follows:

pooled proportion = (p1*n1 + p2*n2)/(n1 + n2)

where p1 and p2 are the observed proportions of the two groups, and n1 and n2 are the sample sizes of the two groups.

This method makes sense because it is essentially a weighted average of the two observed proportions, with the weights being the sample sizes. This means that the larger the sample size, the more influence it has on the pooled proportion. This is important because larger sample sizes generally provide more accurate estimates of the true proportion of the population.

In conclusion, the method used to calculate the pooled proportion in a z-test for the difference between proportions makes sense because it takes into account the sample sizes and the observed proportions of both groups, providing an accurate estimate of the true proportion of the population.

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Answer:

18 and 3/4 rows of radishes

Step-by-step explanation:

6 + 4 + 7 = 17

3/4 + 3/4 + 1/4 = 7/4

7/4  = 1 3/4

17 + 1 3/4 = 18 3/4

Answer: 18 and 3/4 rows of radishes

Since all the fractions have the same denominator,

you can combine 3/4 + 3/4 + 1/4 together into 1 and 3/4

Adding in the numbers 7 + 4+ 6 and the 1 and 3/4 would amount to 18 and 3/4

Answer:

12

Step-by-step explanation:

since -4 is in brackets it turns to a positive then you multiply 3 and 4 ....

A: √50x^2 and d: √72x^2 are like radicals.

Like radicals are square roots with the same coefficient outside the radical. For example, √50x^2 and √72x^2 can be simplified to √2 * √25x^2, which makes them like radicals. Simplifying the expressions helps to see if they are alike.

Expressions such as √32x and √18n cannot be simplified to have the same coefficient outside the radical and hence, they are not like radicals.

In conclusion, only √50x^2 and √72x^2 are like radicals after simplification.

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Answer:

A&D

Step-by-step explanation:

Got it right on edge

a. The number of bricks required for the top step is 795.

b. The total number of bricks required for all the steps is 2250.

(a) To find the number of bricks required for the top step, we need to use the information that each successive step requires two less bricks than the prior step.

So, we can start by finding the total number of bricks required for all the steps and then subtracting the number of bricks required for the bottom 29 steps.

The total number of bricks required for all the steps can be found using the formula for the sum of an arithmetic sequence:

S = n/2 * (a1 + an)

where S is the sum, n is the number of terms, a1 is the first term, and an is the nth term.

In this case, we have:

n = 30 (since there are 30 steps)

a1 = 100 (since the bottom step requires 100 bricks)

d = -2 (since each successive step requires 2 less bricks than the prior step)

an = a1 + (n-1)d = 100 + (30-1)(-2) = 40.

Plugging these values into the formula, we get:

S = 30/2 * (100 + 40) = 2250

So, the total number of bricks required for all the steps is 2250.

To find the number of bricks required for the top step, we subtract the number of bricks required for the bottom 29 steps from the total number of bricks required for all the steps:

number of bricks required for top step = total number of bricks - number of bricks for bottom 29 steps

= 2250 - [100 + 98 + 96 + ... + 6 + 4 + 2]

= 2250 - 1455

= 795

Therefore, the number of bricks required for the top step is 795.

(b) To find the total number of bricks required to build the staircase, we simply add up the number of bricks required for each step. We can use the formula for the sum of an arithmetic series again to simplify the calculation:

S = n/2 * (a1 + an)

where S is the sum, n is the number of terms, a1 is the first term, and an is the nth term.

In this case, we have:

n = 30 (since there are 30 steps)

a1 = 100 (since the bottom step requires 100 bricks)

d = -2 (since each successive step requires 2 less bricks than the prior step)

an = a1 + (n-1)d = 100 + (30-1)(-2) = 40

Plugging these values into the formula, we get:

S = 30/2 * (100 + 40) = 2250

Therefore, the total number of bricks required to build the staircase is 2250.

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The total number of games the team played last year was 80 (option C). In the first half of the year, the team won 60 percent of their games, indicating that they won 6 out of every 10 games played.

In the second half of the year, the team played 20 games and won 3 of them. This means that in the second half, they won only 3 out of 20 games, which is equivalent to winning 15 percent of their games.

To find the overall percentage of games won, we can calculate the weighted average of the two percentages. Since the team won 50 percent of their games overall, we can assign equal weights to the first and second halves of the year. Therefore, the average winning percentage for the team would be the midpoint between 60 percent and 15 percent, which is (60% + 15%) / 2 = 37.5%.

Let's assume the total number of games played last year was x. Since the team won 37.5% of the games, they won 0.375x games. We can set up an equation based on the information given:

0.375x = 50% of x

0.375x = 0.5x

0.5x - 0.375x = 0

0.125x = 0

x = 0 / 0.125

x = 0

However, we have arrived at an invalid result. It seems there is an error in the information provided or the calculations made.

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Answer:

the answer is A

Step-by-step explanation:

About 50% of the respondents were at or between 40 and 67.5 years old.

Answer: 340

Step-by-step explanation:

100 - 74 = 26%

26% = .26

x * .26 = 88.4

   /.26    /.26

x = 340

check

340 * .74 = 251.6

340 - 251.6 = 88.4

6²-(8+8)

Hope it helps.

Do comment if you have any query.

Answer:

No

Step-by-step explanation:

a^2 + b^2 = c^2

c has to be the longest side therefore it will be 42

24^2 + 32^2 = 42^2

576 + 1024 = 1764

1600 = 1764

Since 1600 does not equal 1764, the answer is no.

If the margin of error is 4.6, the interval estimate would be the point estimate plus or minus 4.6.

In statistical estimation, the margin of error represents the maximum amount by which the point estimate may deviate from the true population parameter. It provides a measure of the precision or uncertainty associated with the estimate. When constructing a confidence interval, the margin of error is used to determine the range within which the true parameter is likely to fall.

To obtain the interval estimate, we add and subtract the margin of error from the point estimate. Let's denote the point estimate as x bar. Therefore, the interval estimate can be expressed as X bar ± 4.6, where ± denotes the range above and below the point estimate.

In summary, if the margin of error in an interval estimate of μ is 4.6, the interval estimate is given by the point estimate plus or minus 4.6. This range captures the likely range of values for the true population parameter μ.

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Answer:

1

Step-by-step explanation:

2x^2 + x -1 = 2

2x^2 + x-1-2 = 0

2x^2 + x -3 = 0

2x^2 -2x + 3x-3 = 0

2x(x-1) + 3(x-1) = 0

(2x + 3)(x-1) = 0

2x + 3 = 0

or x-1 = 0

x = -3/2 or 1

The equation y = 3/4x describes the relationship

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

The graph

The graph is a linear graph, and we have the following points on the graph

(x, y) = (0, 0) and (4, 3)

Because the line passes through the origin i.e. (0, 0), the equation that describes the relationship is then represented as

y = Y/X * x

Where

(X, Y) = (4, 3)

So, we have

y = 3/4x

Hence, the equation is y = 3/4x

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The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).

In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).

"A number": This is represented by the variable x, which can take any value.

"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.

"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).

In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.

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Answer:

Thus the surface area of this cylinder involving pie is:

\(A=750\pi\) ft²

or

\(A\approx 2356.19\) ft²

Step-by-step explanation:

Given

radius = r = 10 ft

height = h = 15 ft

The surface area of a cylinder formula is:

\(A=2\pi rh+2\pi r^2\)

substituting the value = r = 10 ft and h = 15 ft

\(\:A=\left(2\times \:\pi \:\times \:15\times 10\right)+\left(2\times \pi \:\times \:15^2\right)\:\)

\(A=750\pi\) ft²

Thus the surface area of this cylinder involving pie is:

\(A=750\pi\) ft²

or

\(A\approx 2356.19\) ft²

Slack and surplus variables are used in linear programming to convert inequality constraints into equality constraints. Slack variables are used for less than or equal to constraints, while surplus variables are used for greater than or equal to constraints.

Slack and surplus variables are artificial variables that are added to inequality constraints in linear programming problems. They are used to convert the inequality constraints into equality constraints, which can then be solved using the simplex method.

Slack variables are used for less than or equal to constraints. They represent the amount by which a constraint is not satisfied. For example, if the constraint is x + y <= 10, then the slack variable s would represent the amount by which x + y is less than 10.

Surplus variables are used for greater than or equal to constraints. They represent the amount by which a constraint is satisfied. For example, if the constraint is x + y >= 5, then the surplus variable s would represent the amount by which x + y is greater than or equal to 5.

The simplex method is an iterative algorithm that is used to solve linear programming problems. It works by starting at a feasible solution and then making a series of changes to the solution until the optimal solution is reached.

The simplex method uses slack and surplus variables to keep track of the progress of the algorithm. As the algorithm progresses, the slack and surplus variables will either decrease or increase. When all of the slack and surplus variables are zero, then the optimal solution has been reached.

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Answer:

1m = 100cm, 100cm = 1m

1.

b) 425cm = 4.25m

d) 140cm = 1.4m

e) 780cm = 7.8m

a) 245cm = 2.45m

c) 535cm = 5.35m

f) 340cm = 3.4m

g) 2,565cm = 25.65m

h) 5,010cm = 50.10m

2.

a) 8m = 800cm

b) 13m = 1,300cm

c) 24m = 2,400cm

d) 207m = 207,000cm

e) 21m = 21,000cm

f) 100m = 100,000cm

g) 105m = 105,000cm

h) 1m = 100cm

Answer:

•Centimeters to Meters

a) 2.45 m

b) 4.25 m

c) 5.35 m

d) 1.4 m

e) 7.8 m

f) 3.4 m

g) 25.65 m

h) 50.1 m

•Meters to Centimeters

a) 800 cm

b) 1,300 cm

c) 2,400 cm

d) 20,700 cm

e) 2,100 cm

f) 10,000 cm

g) 10,500 cm

h) 100 cm

Step-by-step explanation:

When you go to convert centimeters into meters, you divide the number of centimeters by 100. Once divided, that number is how many meters it is. Ex. There are 652 cm and you need to find out how many meters there are. Divide 652 by 100 (652/100) and that equals 6.52 m

When you go to convert meters into centimeters, multiple the number of meters by 100. Ex. There’s 4 m of rope and you want to know the length in centimeters. Multiply 4 by 100 (4x100) and you should get 400 cm.

The probability that the sample proportion will differ from the population proportion by more than 0.03 is 0.9476

To determine the probability

The given parameters are:

True proportion and the mean (p) = 0.06

The samples size (n) = 235

Start by calculating the standard deviation using

\(\sigma = \sqrt{\frac{p(1-p)}{n} }\)

This gives

\(\sigma = \sqrt{\frac{0.06\;*\;(1-0.06)}{235} }\)

\(\sigma = \sqrt{\frac{0.06\;*\;(0.94)}{235} }\)

\(\sigma = \sqrt{\frac{0.0564}{235} }\)

\(\sigma = \sqrt{0.00024 }\)

\(\sigma = 0.01549\)

Next, we calculate the x values

\(x = x_{1} \pm x_{2}\)

where x₁ = 0.06 and x₂ = 0.03

x = x₁ + x₂ , x₁ - x₂

x = 0.06 + 0.03, 0.06 - 0.03

x = 0.09, 0.03

Calculate the z score for both x values

\(z = \frac{x\; - \; \mu}{\sigma}\)

\(z = \frac{0.09\; - \; 0.06}{0.01549}, \frac{0.03\; - \; 0.06}{0.01549}\)

\(z = \frac{0.03}{0.01549}, \frac{-0.03}{0.01549}\)

\(z = 1.94, -1.94\)

The p values at the z scores are:

p = 0.9738, 0.0262

Note: refer to z tables to find the p values

Calculate the difference

p = 0.9738 - 0.0262

p = 0.9476

Hence, the probability that the sample proportion will differ from the population proportion by less than 0.03 is 0.9476

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The mass of the fifth man is 153 kg.

The mean mass of five men is 76 kg.

The masses of four of the men are 72 kg, 74 kg, and 81 kg.

To solve this problem, we need to apply the concept of the mean of a set of data.

The mean is the average of all the values in a set of data.

It is calculated by adding up all the values and dividing by the total number of values in the set.

To find the mass of the fifth man, we need to use the mean of the entire set and the masses of the four men that are already given.

The formula to find the mean of a set of data is:

\(Mean = \frac{(sum of all the values)}{(total number of values)}\)

Let x be the mass of the fifth man.

Then we can write an equation using the given information:

\(Mean = \frac{(72 + 74 + 81 + x)}{5}\)

Substitute the given mean of 76 kg into the equation and solve for x:

\(76 = \frac{(72 + 74 + 81 + x)}{576 × 5} = 227 + x\)

Multiply both sides by 5:

\(380 = 227 + x\)

Subtract 227 from both sides:

\(153 = x\)

Therefore, the mass of the fifth man is 153 kg.

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The HCF of A and B is 1029.

To find the HCF of A and B, we need to identify the common prime factors of both numbers and take the product of the lowest power of each common prime factor.

The prime factorization of A is:

A = 3^5 x 5 x 7^3

The prime factorization of B is:

B = 2^3 x 3 x 7^4

The common prime factors of A and B are 3 and 7.

To find the lowest power of each common prime factor, we take the minimum exponent of that prime factor in the prime factorization of A and B:

The lowest power of 3 is 3^1 = 3

The lowest power of 7 is 7^3 = 343

Therefore, the HCF of A and B is:

HCF(A, B) = 3 x 343 = 1029

Hence, the HCF of A and B is 1029.

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