SC_2, 4) and T (3,9).
The midpoint is MC). The distance between S and T is about

The yearly insurance fee is paid for a house valued at 4,500 naira if the fee is 1/8 of it's value is 562.5.

The term "percentage" comes from the Latin phrase "per centum," meaning means "by the hundred." Percentages is fractions with a denominator of 100.

In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Calculating a percentage implies determining a portion of a whole in term of 100. A percentage can be calculated in two ways:

Now, according to the question;

The initial value of the house is 4,500.

The insurance fee is 1/8 of 4,500.

1/8 in percentage is;

= (1/8)×100

= 12.5

Now, calculate the 12.5 of 4,500.

= (12.5×4,500)/100

= 562.5

Therefore, the insurance fee paid for the house is 562.5.

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Answer:

3 1/3

Step-by-step explanation:

To multiply 5 by 2/3, multiply 5 by the numerator:

5•2=10

10/3

10/3 = 3 1/3

Answer:

3 and 1/3

Step-by-step explanation:

5 × 2/3

The total cost of the fence for one length of the yard is $1500

Let the length and width of the rectangle be x and y respectively.

y = 90 ft

Area of a rectangle is:

A = xy

90x = 10800

x = 10800/90 = 120 ft

The fence cost $12.50 per linear foot

One length of the yard is:

The total cost of the fence for one length of the yard is $1500

Answer:

17.5

Step-by-step explanation:

Answer:

m=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-4x + 7 = 2y - 3

7 = 2y - 3 + 4x

0 = 2y - 3 + 4x - 7

-2y = -3 + 4x - 7

-2y = 4x - 10

y = -2x + 5

As the slope of the line is equal to the value of x, the slope of this line is -2

The parts of circle are given below.

What is a circle?

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.

The equation of circle in the plane is given as:

(x-h)^2 + (y-k)^2 = r^2

where (x, y) are the coordinate points

(h, k) is the coordinate of the center of a circle

and r is the radius of a circle.

and Area of circle = πr²

Circumference of circle=2πr

Now,

Parts of circle:-The parts of a circle are the radius, diameter, circumference, arc, chord, secant, tangent, sector and segment

as shown in image.

Main parts are as described below:

Radius

The distance from the center of a circle to the outside.

Diameter

The distance across the circle going through the centre.

The diameter is twice the radius.

Circumference

The distance once around the circle.

Arc

A part of the circumference.

Major arc – A major arc is greater than half the circumference.

Minor arc – A minor arc is less than half the circumference.

Area

The space inside a 2D shape.

Chord

A line segment going from one point of the circumference to another but does not go through the center.

Secant

A line that goes through the circle at two points.

Tangent

A straight line that touches the circle at a single point only.

Sector

A section of the circle created by two radii.

Major sector – A major sector has a central angle which is more than

Minor sector – A minor sector has a central angle which is less than

Semi circle

Half of a circle. Could be considered a sector where the circle has be split by the diameter.

Quadrant

A quarter of a circle, created by two perpendicular radii.

Segment

A section of the circle created by a chord.

Major segment – a segment where the arc is greater than half the circumference.

Minor segment – a segment where the arc is less than half the circumference.

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Answer: 2 and 4 lb

Step-by-step explanation:

Given

There are twice as many cashews as almonds in the can

Cashews costs \(\$4.25\ lb\)

Almonds costs \(\$3.80\ lb\)

Can costs $24.60

Suppose there are x lb almonds, so there is 2x lb cashews

\(\Rightarrow (2x)4.25+x\cdot 3.80=24.60\\\Rightarrow 8.5x+3.8x=24.60\\\Rightarrow 12.3x=24.60\\\Rightarrow x=2\ lb\)

Amount of cashews =4 lb

Amount of almonds =2 lb

Answer:

Since the vertex is the tallest or shortest point on the graph, the vertex would be 8 since 8 is the tallest point. So it would be B. 8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I think...

The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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Answer:

B is the answer

Step-by-step explanation:

The speed in miles per day 3318.18miles/day

What is Speed?

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

Given,

Object moving in speed of 7300inches in 3 sec

Object moving in 1 sec = 7300/3

                                      = 2433.33inches/sec

Converting inches/sec into miles/day

Since,

1inches/sec = 1.36364miles/day

Then ,

         2433.33inches/sec = 2433.33 x 1.36364

                                          = 3318.18miles/day

Hence, speed in miles per day is 3318.18miles/day

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Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

\(131 +x=180\)

\(131-131=0\) (cancels itself out)

\(180-131=49\)

\(x=49\)

Therefore, the measure of ∠8 is 49°.

Answer:

-0.7

Step-by-step explanation:

add +1.4m on both sides
then you got -1.1 + 0.4 = ?
and -1.1 + 0.4 = -0.7

Answer: It is -0.7

Step-by-step explanation:

-1.1-1.4m+0.4=x-1.4m

Add 1.4m to both sides which should look like this

-1.1-1.4m+0.4+1.4m=x-1.4m+1.4m

then you have to simplify you should have

-1.1+0.4=x

Then you add them which gives you your answer

-0.7

A percentage is a way to describe a part of a whole. The percentage change in the price of the TV will be 60.2%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is mentioned that the price of the tv 3 years ago was $500, while the current price of the tv is $199. Therefore, the percentage change in the price of the tv can be written as,

\(\rm Percentage\ change = \dfrac{\text{Initial value - Final value}}{Initial\ value} \times 100\%\)

\(\rm Percentage\ change = \dfrac{\$500-\$199}{\$500} \times 100= 60.2\%\)

Hence, the percentage change in the price of the TV will be 60.2%.

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The equation -x² + 8x using Desmos graphing calculator:

a) The horizontal intercepts are (-0, 0) and (8, 0).

b) The maximum point is (4, 16).

To graph the equation -x² + 8x using technology, we can use a graphing calculator or a software program like Desmos. The graph of this equation is a downward-facing parabola with its vertex at (4, 16).

To identify the horizontal intercepts, we need to find the values of x that make the y-coordinate zero. Setting -x² + 8x = 0 and solving for x gives us x = 0 and x = 8. Therefore, the horizontal intercepts are (0, 0) and (8, 0).

To identify the maximum point, we can use the fact that the vertex of a parabola is at the point (h, k), where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex. In this case, the vertex is at (4, 16), so the maximum point is (4, 16). This means that the highest point on the graph occurs when x = 4, and the corresponding y-coordinate is 16.

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Answer:

The correct option is the system of non-linear equations.

Step-by-step explanation:

The correct option is the system of non-linear equations. A system is defined as a group of equations/inequalities with the same variables solved together.

Therefore we exclude point options A and D We have to find points B and point C.

For point B we have refers to a system of linear equations. What is the meaning of the linear equation of a system?

A system of linear equations is usually a set of two linear equations with two variables.

This means that all equations in the system are linear. Therefore, this option is incorrect.  

Option c we have, This option refers to a system of non-linear equations.

Therefore, we can say that at least one of the equations in the systems is non-linear.

This fits the description given in the question.

Therefore, this is the correct option.

Therefore we get, the correct option is the system of non-linear equations.

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

got it right on edge

Answer:

D: He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.

Step-by-step explanation:

I did the test and got it right.

Answer:

If it's not too late by now, the answer is 19.9 \(mm^{2}\)

yes, they arent intersecting and they have the same slope

The standard deviation of the given data set is 16.46.

A data set is a collection of related pieces of information that is organized and structured so that it can be easily accessed, managed and updated. It is typically composed of data records, each of which contains a certain number of fields that are related to a particular item. A data set may include numerical values, textual descriptions, images, audio files, video files, or any other type of data. Data sets are used for a variety of different purposes, including tracking trends, predicting future outcomes, and providing insights into various aspects of a given situation.

To calculate the standard deviation of a sample, we first need to find the mean of the data set. This can be done by adding up all the values in the data set and dividing by the number of values. In this case, the mean is 48.

We can then calculate the standard deviation by taking the square root of the variance. To calculate the variance, we subtract the mean from each value in the data set, square the result, and then add up all the squared values. Finally, we divide this sum by one less than the number of values in the data set. In this case, the sum of the squared differences is 1022, and the value variance is 1022/9 = 113.56. Taking the square root of the variance gives us the standard deviation of 16.46.

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The standard deviation of the given data set is 16.48.

A data set is a collection of related pieces of information that is organized and structured so that it can be easily accessed, managed and updated. It is typically composed of data records, each of which contains a certain number of fields that are related to a particular item. A data set may include numerical values, textual descriptions, images, audio files, video files, or any other type of data. Data sets are used for a variety of different purposes, including tracking trends, predicting future outcomes, and providing insights into various aspects of a given situation.

To calculate the standard deviation of a sample, we first need to find the mean of the data set. This can be done by adding up all the values in the data set and dividing by the number of values. In this case, the mean is 48.


The standard deviation of the given data set is 16.48.

Step 1: Find the mean of the data set. This will be the measure used to determine the amount of variation from the mean.

To find the mean, add all the numbers in the data set together and then divide by the total number of numbers in the data set. In this case, the mean is 48.

Step 2: Calculate the variance. To calculate the variance, subtract the mean from each number in the data set and then square the result.

For example, the variance for the first number, 70, is (70-48)² = 36² = 1296.

Step 3: Calculate the sum of the squared differences. Add up all the variances to get the total variance. In this case, the total variance is 11,316.

Step 4: Calculate the standard deviation. To calculate the standard deviation, take the square root of the total variance. In this case, the standard deviation is 106.7.

Step 5: Round the standard deviation to the nearest hundredth. The standard deviation of the given data set is 16.48.


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Answer:

a) y = -3/10x + 24.

Step-by-step explanation:

2.5y + 0.75x = 60

2.5y = -0.75x + 60

Divide through by 2.5:

y = -3/10x + 24.

Answer:

0.024

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Suppose the true proportion of high school juniors who skateboard is 0.18.

This means that \(p = 0.18\)

Samples of 250 high school juniors are taken

This means that \(n = 250\)

By how much would their sample proportions typically vary from the true proportion?

This is the standard error, so:

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

\(s = \sqrt{\frac{0.18*0.82}{250}}\)

\(s = 0.024\)

So 0.024 is the answer.

Answer:

nothing is the difference

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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Answer: about 20$ and 63cents

Step-by-step explanation:

240-75=165

165/8=20.265

Jo paid an actual rate of interest of approximately 2.19% on the loan.To calculate the interest paid by Jo to the bank for the loan, we can use the formula for simple interest:

Interest = Principal * Rate * Time

a. How much interest did Jo pay the bank for the use of its money?

Given:

Principal (P) = $1,900

Rate (R) = 3.5% = 0.035 (as a decimal)

Time (T) = 8 months

Using the formula for interest:

Interest = 1,900 * 0.035 * (8/12)

Interest = $33.07

Therefore, Jo paid $33.07 in interest to the bank for the use of its money.

b. How much did he receive from the bank?

To determine the amount Jo received from the bank, we need to subtract the interest from the principal:

Amount received = Principal - Interest

Amount received = $1,900 - $33.07

Amount received = $1,866.93

Therefore, Jo received $1,866.93 from the bank.

c. What was the actual rate of interest he paid?

To calculate the actual rate of interest Jo paid, we need to compare the interest paid to the principal:

Actual rate of interest = (Interest / Principal) * (12 / Time)

Actual rate of interest = ($33.07 / $1,900) * (12 / 8)

Actual rate of interest ≈ 0.0219 or 2.19% (rounded to two decimal places)

Therefore, Jo paid an actual rate of interest of approximately 2.19% on the loan.

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