20) The total fees f of a book club membership are $10 per month m and a one-time
administration fee of $4.75.
Function rule:
How much will it cost for a 15 month membership?

Answer:

C

Step-by-step explanation:

The converse of the statement would be if two angles are congruent, then they are vertical angles.

Many angle relationships allow two angles to be congruent like the alternate interior and alternate exterior angles and corresponding angles.

The correct question is: "The area of ​​the rectangle is 54 x ²y⁸ square yards. The length of the rectangle is 6 x ³y⁴ yards. What is the formula for the width of the rectangle in yards?

A. 9y⁴/x

B. 48x6y⁴

C. 9x6y⁴

D. 60x¹2y¹²"

Thus the required width of the rectangle is 9y⁴/x yards.

So, option A is the correct answer.

What is a rectangle?

A four-sided polygon with all interior angles of 90 degrees is called a rectangle. Two sides of each corner or vertex meet at right angles.

The opposite sides of it are the same length. This is the main difference between a rectangle and a square with all sides equal. 

For example, if the length of one side of a rectangle is 20cm, the length of the opposite side will also be 20cm. 

A rectangle is characterized by length and width. Both length and width are available in different sizes.

Here the area of ​​the rectangle is 54x²y⁸ square yards and the length of the rectangle is 6x³y⁴ yards. 

We know,

Area of ​​rectangle = length x width 

Let here width be w yards, So,

\(6x^3y^4(w)=54x^2y^8\\w=\frac{54x^2y^8}{6x^3y^4}\\w=\frac{9y^4}{x}\)

Therefore, the required width is 9y⁴/x yards.

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Answer:

p = 0.55

Step-by-step explanation:

By looking at the "total" part, we can see that:

There are 20 people surveyed in this case.

We can see that 11 of these play an instrument.

The probability that a person selected at random plays an instrument can be estimated as the relative frequency of people that play an instrument in this survey.

Then the relative frequency of people that play instruments, is equal to the quotient between the number of people that play an instrument and the total number of people surveyed, this is:

p = 11/20 = 0.55

So, we can assume that the probability wanted is 0.55

Answer:

b

Step-by-step explanation:

Answer:

4.8 years

Step-by-step explanation:

10 800 = 8000 e^(i t)        i = decimal interest per year     t = years

10800/8000 = e^(.0625 t)      ln both sides

.300 = .0625 t

t = 4.8 years

We want to find the perimeter of the fifth square in the given sequence.

The perimeter of the fifth square is 1cm.

Let's see how to get that:

The perimeter of the first square is 16cm.

Remember that the perimeter of a square of side length S is:

P = 4*S

Then the side length of the first square is given by:

16cm = 4*S

16cm/4 = S = 4cm

Then she connects the midpoints of the sides to form another square (actually four equal squares).

The midpoint would be at half of the side length of the square, then the side length of the new squares is 4cm/2 = 2cm.

For the third square, the side length is divided by two again, to get 2cm/2 = 1cm

For the fourth square this happens again: 1cm/2 = 0.5cm

For the fift square this happens again: 0.5cm/2 = 0.25cm

Then we have a square of side length equal to 0.25cm, the perimeter will be:

p' = 4*0.25cm = 1cm

The perimeter of the fifth square is 1cm.

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Using the null-hypothesis to calculate the test-statistic at a significance level of 0.01, there is not enough evidence to reject the claim that 40% of the telephone company's customers have call-waiting service based on the sample data.

To test the hypothesis that 40% of the telephone company's customers have call-waiting service, we can conduct a hypothesis test.

Let's set up the null and alternative hypotheses:

Null hypothesis (H₀): The proportion of customers with call-waiting service is 40%.

Alternative hypothesis (H₁): The proportion of customers with call-waiting service is not 40%.

We can use the t-test for proportions to perform the hypothesis test. The test statistic is given by:

z = (p - p₀) / √((p₀ * (1 - p₀)) / n)

where p is the sample proportion, p₀ is the hypothesized proportion, and n is the sample size.

In this case, p₀ = 0.40, p = 0.37, and n = 100.

Calculating the test statistic:

z = (0.37 - 0.40) / √((0.40 * (1 - 0.40)) / 100)

z = -0.03 / √(0.24 / 100)

z = -0.03 / 0.049

z = -0.612

To determine if there is enough evidence to reject the null hypothesis, we compare the calculated z-value with the critical z-value at a significance level of α = 0.01.

The critical z-value for a two-tailed test at α = 0.01 is approximately ±2.576.

Since -0.612 falls within the range of -2.576 to 2.576, we fail to reject the null hypothesis.

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The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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Answer:

Step-by-step explanation:

p3 = 2*3 = 6

64 ÷ 8 = 8 , 64 is the square root

6 + 64 = 70

Answer:

−7(4−1) = −21

14-28-7r= −7r−14

14 - 7r = 42= r=−4

Step-by-step explanation:

The results of the given task 8.8 ÷ 4 is 2.2.

8.8 ÷ 4

= 2.2

Therefore, 8.8 ÷ 4 = 2.2

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Answer:

true

Step-by-step explanation:

because there's less humidity

The perimeter is the sum of the lengths of the sides of a closed plane figure.

The total distance from the outside of the closed figure is called the perimeter. Sum of all sides of a closed figure. The formula is: perimeter = sum of all sides

The units for the perimeter of a polygon remain the same as the units for each side. If the sides have different units, convert them to the same units and then find the perimeter.

A regular polygon has all equal sides. So if the polygon has 'n' sides, add the same length 'n' times. Perimeter of regular polygon = (length of one side) × number of sides

Example: Perimeter of regular hexagon is 6 × length of side

Total distance around polygon is. It can be found by summing all the sides of the polygon. Rectangle perimeter = 2( length + width)

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Answer:

y=4

Step-by-step explanation:

84=30y-9y, first you collect like terms.

84=21y, swap the sides

21y=84, devide both sides and you get y =4

Answer:

50

Step-by-step explanation:

35/7= 5

5*10=50

Answer:

50 people in the choir

Step-by-step explanation:

we can solve for x, assuming x is the value in which 1 is on the ratio. 7x=35, so the value of x would be 5. Next, we must multiply x by 3 since that is what the ratio states. If we do this, we will get 5*3, or 15. Therefore, there are 15 boys in the choir. Last, we have to add 15+35 to get the total number of people in the choir. There are 50 people in the choir.

Hope this helps! :)

(Also i know my explanation is rly bad just ignore it)

The appropriate measure for finding the average value in a sample set of data is the sample mean, option b. The sample mean is calculated by summing up all the values in the sample and dividing it by the total number of observations.

A distribution that has no mode is described as a uniform distribution, which corresponds to option a. In a uniform distribution, all values have equal probabilities, resulting in a flat and constant probability density function. Therefore, there is no particular value that occurs more frequently than others, and hence, no mode exists.

A distribution that has a single mode is referred to as unimodal, corresponding to option b. In a unimodal distribution, there is one value or range of values that occurs more frequently than any other value. It represents the peak or highest point on the distribution's graph.

The median for the sample 7, 5, 11, 4, and 9, as given, would be option c, which is 7. The median is the middle value when the data is arranged in ascending or descending order. In this case, the data set can be ordered as 4, 5, 7, 9, 11, and the middle value is 7.

The mean of the sample in question 4, 7, 5, 11, 4, and 9, would be option c, which is 7. The mean is calculated by summing up all the values in the sample and dividing it by the total number of observations. In this case, (4 + 7 + 5 + 11 + 9) / 5 = 7.2.

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Answer: accrual principle

Accounting principle is this practice related to the accrual principle.

We have given that,

A tire manufacturing company took a bank loan in November 2014 to increase production.

The yearly interest payable on the loan is $10,000.

The company made the first interest payment of $10,000 on February 21, 2015.

We have to determine the accounting principle is this practice related

Accrual of something is, in finance, the adding together of interest or different investments over a period of time.

Therefore, Accounting principle is this practice related to the accrual principle.

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After using mental math to find how much he spent in all, we have come to find that total cost of notebook, pencils and eraser is $7.79

A set of abilities known as mental math enable people to perform calculations "in their heads" without the aid of paper and pencil or a calculator. Recalling math facts, such as 8 x 5 = 40, is one of these abilities. Rounding numbers and estimating calculations are additional abilities.

It is the process of performing mathematical calculations and problem-solving without the need for a lengthy physical process or a formal written process. Children will learn to perform mental addition, subtraction, and other calculations that call for the use of all four operations as well as particular methods.

Students will be able to solve a variety of problems without having to memorize equation solutions, pull out a calculator, or use a pen and paper for their calculations thanks to these mental techniques.

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Answer: $7.79

Step-by-step explanation:

Answer:

5 folders and 5 pens = yes

6 pens and 6 erasers = yes

1 pen and 4 notebooks = no

3 folders and 7 erasers = no

4 folders and 2 notebooks = yes

Step-by-step explanation:

Max total = $10

(5 folders x 1.29) + (5 pens x 0.70)

6.45 + 3.50 = 9.95

(6 pens x 0.70) + (6 erasers x 0.89)

4.20 + 5.34 = 9.54

(1 pen × 0.70) + (4 notebooks × 2.35)

0.70 + 9.40 = 10.10

(3 folders × 1.29) + (7 erasers × 0.89)

3.98 + 6.23 = 10.21

(4 folders × 1.29) + (2 notebooks × 2.35)

5.16 + 4.70 = 9.86

Answer:

N, M, P

Step-by-step explanation:

The smallest angle is opposite the shortest side

The largest angle is opposite the longest side

Thus

∠ N is opposite the shortest side MP = 10

∠ P is opposite the longest side MN = 18

From smallest to largest, then

∠ N, ∠ M, ∠ P

The value of x and y is 2 , -2

The equation are as follows:

x+2y=-2....(i)

-3x+2y=-10.....(ii)

Now, Solving each system of equations by adding and subtracting:

And, find the value of x and y

Multiply by 3 in equation (i) we get:

3x + 6y = - 6 ---(iii)

And add the equations (ii) and (iii)

3x + 6y + (-3x) + 2y = -6 - 10

6y + 2y = -16

8y = -16

y = -2

Now, For solving the value of x :

Subtract the equation (i) and (ii), we get:

x + 2y - (-3x) - 2y = -2 + 10

x + 3x =  8

4x = 8

x = 2

Now, The value of x and y is 2 , -2

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The reported area, including the uncertainty, should be 6.0 ± 1.5 square units.

To report the area calculated from the recorded length and width, including the uncertainty, we need to consider the range of values obtained from the length and width measurements.

Let's assume the recorded length is L with a range of ±ΔL, and the recorded width is W with a range of ±ΔW.

The uncertainty in the area can be determined by propagating the uncertainties using the formula for the area of a rectangle:

Area = Length × Width

To find the uncertainty in the area, we can use the following formula:

ΔArea = |Width × ΔLength| + |Length × ΔWidth|

Now, let's substitute the given values:

ΔLength = (2.143 - 2) = 0.143 (using the value from part (a))

ΔWidth = (3.536 - 3) = 0.536 (using the value from part (b))

ΔArea = |3 × 0.143| + |2 × 0.536|

= 0.429 + 1.072

= 1.501

Therefore, the uncertainty in the area is approximately 1.501.

To report the area, we should round the calculated value to 1 significant figure, considering the uncertainty. Since the uncertainty is 1.501, we can round the area to the first digit containing the uncertainty:

Area = 6.0 (rounded to the first digit containing the uncertainty)

Therefore, the reported area, including the uncertainty, should be 6.0 ± 1.5 square units.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

Alexander made a total of $825 last week in commission sales

Step-by-step explanation:

C=S×r

where;

C=commission earned

S=total value of stock sales

r=commission rate

Answer:

13/100×$7000

$910 for last week

Step-by-step explanation:

Answer:

Please provide more information.

Step-by-step explanation:

The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)=  (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

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The Bass diffusion model is a forecasting model that uses nonlinear optimization to predict the adoption of innovative and new technologies in the marketplace.

It was developed by Frank Bass in 1969 and has since become a widely used method for predicting the spread of new products in the market.

The Bass model assumes that the adoption of a new technology is driven by two factors: the innovative individuals who are the first to adopt, and the imitative individuals who adopt based on the influence of others. The model uses a combination of these two factors to predict the rate of adoption over time.

The Bass model takes into account the potential market size, the rate of innovation, and the rate of imitation. It is based on the assumption that the number of potential adopters is finite and that the rate of adoption will slow down as the market becomes saturated. The model also assumes that the rate of innovation will decrease over time as the technology becomes more established in the market.

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