Explain how you can tell if a table of values represen a proportional relationship.​

The number of students that are expected to enroll in the fifth year of the plan is 644.

The formula that can be used to determine the future value of the population is:

FV = P (1 + r)^n

400 x (1.1)^5 = 644

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Answer:

1

Step-by-step explanation:

Answer:

equal to 4

Step-by-step explanation:

..................

The average number of minutes spent talking on a cell phone is 35.625

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

The dot plot

The average is calculated as

Average = Sum of Call minutes * Frequency/Sum of Frequency

using the above as a guide, we have the following:

Average = (0 * 1 + 10 * 2 + 20 * 2 + 30 * 4 + 50 * 3 + 60 * 4)/(1 + 2 + 2 + 4 + 3 + 4)

Evaluate

Average = 35.625

Hence, the average is 35.625

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Step-by-step explanation:

-4

You also have imaginary solutions, but you don't need them right now.

Answer:

m(h+p) - p÷h + m

h = -1, m = 3, and p = 4

3(-1+4) - 4÷(-1) + 3

= 3(3) - (-4) + 3

= 9 + 4 + 3

= 16

D. 16

Answer:

3(-1+4)-4/-1+3

-3+12+4+3

12+4

16

For the week, Bob made $120,000 in sales. This was computed by deducting the amount of $150,000 from the 20% commission.

Since commission is normally calculated as a percentage of total sales, 20% of $150,000 is $30,000; we deduct that amount from $150,000 to arrive at $120,000.

Being his first week at Aaron's Automobiles, Bob's sales of $120,000 for the week were amazing. Bob was able to surpass the expectations of his management and the entire firm because to his drive and diligence.

Bob's accomplishment is a fantastic illustration of how perseverance and hard effort can be rewarded.

Recognizing Bob's efforts and rewarding him for his success is crucial. It's crucial to demonstrate to other staff members that their efforts will be rewarded if they perform well in their roles.

Bob's achievement is proof of the value of commitment and perseverance. His example can inspire other workers to aim for greatness and achieve their objectives. Aaron's Automobiles should celebrate Bob's accomplishments and inspire others to pursue achievement on a par with theirs.

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You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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The correct answer is option c. Not enough information is given to answer this question.

To determine whether the null hypothesis should be rejected or not, we need to consider the significance level or alpha level chosen for the test. In this case, the information provided states that the test is done at a 95% confidence level.

In hypothesis testing, the significance level (often denoted as α) represents the probability of rejecting the null hypothesis when it is true. In a 95% confidence level test, the significance level is typically set at α = 0.05.

When conducting a hypothesis test, if the p-value (the probability of observing the data or more extreme data if the null hypothesis is true) is less than or equal to the significance level (α), we reject the null hypothesis.

Conversely, if the p-value is greater than the significance level, we fail to reject the null hypothesis.

However, the given question does not provide any information regarding the p-value or the test statistic.

Therefore, without knowing the p-value or having any additional information, we cannot definitively determine whether the null hypothesis should be rejected or not.

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The area of the base of the panter is approximately 28.5 square inches.

To find the area of the base of the panter, we need to know the dimensions of the base. Since the panter is shaped like a rectangular prism, we know that the base is a rectangle.

Let's use the formula for the volume of a rectangular prism to find the dimensions of the base:

Volume = Length x Width x Height

We know the height is 9.5 inches and the volume is 769.5 cubic inches. So we can rearrange the formula to solve for the area of the base:

Area of Base = Volume / (Length x Width)

Substituting in the values we know:

Area of Base = 769.5 / (Length x Width)

We need to find the values of Length and Width that satisfy this equation. We know that the base is a rectangle, so we can use the formula for the area of a rectangle to find another equation:

Area of Base = Length x Width

Substituting this equation into the previous one:

Area of Base = 769.5 / (Area of Base / Width)

Multiplying both sides by (Area of Base / Width):

Area of Base^2 = 769.5 x Width

Solving for Width:

Width = Area of Base^2 / 769.5

Now we can substitute this value back into the equation for the area of the base:

Area of Base = 769.5 / Width

Area of Base = 769.5 / (Area of Base^2 / 769.5)

Area of Base = 769.5 / (Area of Base^2 / 769.5)

Area of Base = 769.5 x 769.5 / Area of Base^2

Multiplying both sides by Area of Base^2:

Area of Base^3 = 769.5 x 769.5

Taking the cube root of both sides:

Area of Base = (769.5 x 769.5)^(1/3)

Area of Base = 28.5 inches^2 (rounded to one decimal place)

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Answer:

x = 9

m∠1 = m∠2 = 54°

Step-by-step explanation:

Two lines r and s are the parallel lines and a transversal line is intersecting these lines at two distinct points.

a). ∠1 ≅ ∠2 [Corresponding angles]

    Therefore, m∠1 = m∠2

    (63 - x)° = (72 - 2x)°

    2x - x = 72 - 63

    x = 9

b). m∠1 = (63 - x)°

            = 63 - 9

            = 54°

    m∠2 = (72 - 2x)°

             = 72 - 18

             = 54°

Answer:

Yes

Step-by-step explanation:

A polygon is a 2D figure with at least three straight sides and angles. A pentagon has five sides and angles, so it qualifies as a polygon.

I hope this helped ^^ Good luck

The graph of the logarithmic function represented by the table would be a curve that passes through the given points. The domain of the function is all positive values of x, and the range is all real numbers.

The graph of the logarithmic function will be a curve passing through the points given in the table. The domain of the function is all positive values of x, and the range is all real numbers.

The table represents a logarithmic function f(x). The x-values in the table are the inputs to the function, and the y-values are the outputs.

Looking at the table, we can see that as x increases, y also increases, indicating that the function is increasing.

To graph the function, we plot the given points and connect them with a smooth curve. The curve will approach the y-axis but will never touch it, as the logarithm of 0 is undefined. The graph extends infinitely in the positive x-direction.

The domain of the function is all positive values of x since the logarithm is only defined for positive inputs. In inequality notation, we can express the domain as x > 0. In interval notation, the domain is (0, ∞).

The range of the function is all real numbers. As x approaches infinity, y also approaches infinity. As x approaches 0, y approaches negative infinity. Therefore, the range is (-∞, ∞) in interval notation. In set-builder notation, we can express the range as {y | y ∈ ℝ}.

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Step-by-step explanation:

I hope this answer is helpful ):

The length, l, of the rectangular lot is 105 feet.

To find the length of a rectangular lot, we can use the perimeter formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

In this case, we are given that the width, w, is 65 feet and the perimeter, P, is 340 feet. Plugging these values into the formula, we have:

340 = 2l + 2(65)

Simplifying the equation, we get:

340 = 2l + 130

Subtracting 130 from both sides of the equation, we have:

340 - 130 = 2l

210 = 2l

Dividing both sides of the equation by 2, we have:

l = 210 / 2

l = 105

Therefore, the length, l, of the rectangular lot is 105 feet.

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The graph of the linear equation, 5x - 9y = -7, is in the attachment below.

The linear equation that models a graph can be written in  slope-intercept equation as y = mx + b. The value of the slope, which is the rise over the run of the line is represented as m, while the value of b, which is where the line intercepts the y-axis is b.

Given the linear equation, 5x - 9y = -7, rewrite in slope-intercept form:

5x - 9y = -7

-9y = -5x - 7

-9y/-9 = -5x/-9 - 7/-9

y = 5/9x + 7/9

This means the rise over the run of the line, m is 5/9, while the y-intercept of the graph, b is 7/9.

The graph is shown below.

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When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.

Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.

Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.

The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.

In order to get a sum of 9, there are four combinations that can be rolled:

3 + 3 + 3 = 9

3 + 4 + 2 = 9

3 + 5 + 1 = 9

4 + 3 + 2 = 9

The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2

= (1/216) + (3/216) + (3/216) + (3/216)

= 10/216 or 5/108.

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The simplified expression for (B/4b) + (7/16b+28) is (4B+7(b+7/4)) / (16b(b+7/4)). None of the given options are equivalent to this expression.

To simplify the expression (B/4b) + (7/16b+28), we first need to find a common denominator for the two fractions. The common denominator for 4b and 16b+28 is 16b, so we can rewrite the expression as:

(B/4b) + (7/16b+28) = (4B)/(16b) + (7)/(16b+28) = (4B)/(16b) + (7)/(16(b+7/4))

Now, we can combine the two fractions by finding a common denominator. The common denominator is 16(b+7/4), so we need to multiply the first fraction by (b+7/4)/(b+7/4):

(4B)/(16b) + (7)/(16(b+7/4)) = (4B(b+7/4))/(16b(b+7/4)) + (7(4b))/(16(b+7/4)4b)

= (4B(b+7/4) + 28)/(16b(b+7/4)) = (4B+7(b+7/4))/(16b(b+7/4))

Therefore, the simplified expression is (4B+7(b+7/4))/(16b(b+7/4)).

None of the given options are equivalent to this simplified expression.

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Answer:

Let's define the variables:

M = mother's age

D = daughter's age.

"a mother is twice as old as her daughter"

This can be written as:

M = 2*D

"5 years from now she will be thrice as old as her daughter"

(M + 5) = 3*D

We want to know how old is the mother five years from now.

First, our equations are:

M = 2*D

(M + 5) = 3*D

First, we need to isolate one of the variables in one of the equations, because for the solution we want the mother's age, we should isolate the daughter's age.

Let's isolate D in the first equation:

M/2 = D

Now we can replace this in the other equation:

Now we can replace this on the other equation:

(M + 5) = 3*(M/2)

M + 5 - (3/2)*M = 0

-(1/2)*M + 5 = 0

5 = (1/2)*M

2*5 = M = 10

So the mother is 10 years old (this hasn't a lot of sense, maybe there is a wrong number on the question)

and 5 years from now, the mother will be:

10 + 5 = 15 years old.

Answer:

Step-by-step explanation:

Monomials have only one term each.

Thus:

-7 is a monomial

a   is a monomial

x + y   is NOT a monomial ; it has two terms and is thus a binomial

1/x    is a monomial

24r^2st^3    is a monomial

ab/5    is a monomial

bx

\(-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx\) all these terms represents monomials.

"Monomials are defined as the polynomial which represents a single term. This single may consist of two or more numbers and variables with highest exponents."

According to the question,

From the given terms,

-7 is a single term .

Therefore, monomial.

a is a single term .

Therefore, monomial.

x + y is not a single term .

Therefore, it is not a monomial.

\(\frac{1}{x}\)  is a single term .

Therefore, monomial.

\(24r^{2} st^{3}\) is a single term .

Therefore, monomial.

\(\frac{ab}{5}\) is a single term .

Therefore, monomial.

b x  is a single term .

Therefore, monomial.

Hence, \(-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx\) all these terms represents monomials.

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Answer:

50%

Step-by-step explanation:

because it is a two side coin

Answer

A=89.11

P=37.76

Step-by-step explanation:

Step by step in picture

Answer:

A is 30 inches

b is Yes

c

Step-by-step explanation:

The claim being tested is whether the proportion of men who own cats is smaller than 80% at a significance level of 0.10. A sample of 80 people is taken, and it is found that 74% of them own cats. To conduct the hypothesis test, the null and alternative hypotheses need to be stated, the type of test needs to be determined, the test statistic needs to be calculated, and the critical value needs to be determined.

(a) The null hypothesis (H0): The proportion of men who own cats is not smaller than 80%. The alternative hypothesis (Ha): The proportion of men who own cats is smaller than 80%.

(b) The type of test: This is a left-tailed test because the claim is that the proportion is smaller than the given value (80%).

(c) The test statistic: To test the claim about proportions, the z-test statistic is commonly used. In this case, the test statistic can be calculated using the formula:

  z = (q - p) / √(p(1 - p) / n)

where q is the sample proportion, p is the hypothesized proportion (80%), and n is the sample size.

(d) The critical value: The critical value for a left-tailed test at a significance level of 0.10 can be determined using a standard normal distribution table or a statistical software.

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Answer:

22

Step-by-step explanation:

You add up the value of each X and you get a final answer of 22. Have a great day!

Answer:

m=4

Step-by-step explanation:

6.33 × 10^9 / 1.79 × 10^5=3.54 × 10^m

Find m

6.33 × 10^9 / 1.79 × 10^5 =3.54 × 10^m

Divide the multipliers

6.33/1.79

=3.54

Divide the other multipliers

10^9/10^5

Division in scientific notation with superscript with the SAME base requires subtraction of the superscript using one of the bases

10^9/10^5

= 10^9-5

=10^4

Therefore,

6.33 × 10^9 / 1.79 × 10^5 = 3.54 × 10^4

m = 4

Answer:

4 :)

Step-by-step explanation: