identify the coefficient, constant, and variable in the expression: - 5 + 8w​

Answer:  60

Step-by-step explanation: you have to do the base X height which is 12 x 10 and that gets you 120. Then you have to divide that by 2 and it will get you 60 :)

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You multiply each number, so: 10 x 12 x 13

Which gives you the conclusion of 1560.

Hope this helped, love! ☆ ☆ ☆

Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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The table in this problem is completed as follows:

Hence the function is:

y = 2x - 1.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

From the table, when x increases by 2, y increases by 4, hence the slope m is given as follows:

m = 4/2

m = 2.

Hence:

y = 2x + b.

When x = 1, y = 1, hence the intercept b is given as follows:

1 = 2 + b

b = -1.

Hence the function is:

y = 2x - 1.

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Answer:

The answer is A

Its A.

Reasoning: Because I Took The Test

Answer:

Step-by-step explanation:

(5*x)(6-3x)=5x(6-3x) simplified

=30x-15x^2

Answer:

You need to simplify 0.3(12x + -16) = 0.4(12 + -3x)

Step-by-step explanation:

Reorder the terms:

0.3(-16 + 12x) = 0.4(12 + -3x) (-16 * 0.3 + 12x * 0.3) = 0.4(12 + -3x) (-4.8 + 3.6x) = 0.4(12 + -3x) -4.8 + 3.6x = (12 * 0.4 + -3x * 0.4) -4.8 + 3.6x = (4.8 + -1.2x)

Solving -4.8 + 3.6x = 4.8 + -1.2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.2x' to each side of the equation. -4.8 + 3.6x + 1.2x = 4.8 + -1.2x + 1.2x

Combine like terms: 3.6x + 1.2x = 4.8x -4.8 + 4.8x = 4.8 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0 -4.8 + 4.8x = 4.8 + 0.0 -4.8 + 4.8x = 4.8 Add '4.8' to each side of the equation. -4.8 + 4.8 + 4.8x = 4.8 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 4.8x = 4.8 + 4.8 4.8x = 4.8 + 4.8

Combine like terms: 4.8 + 4.8 = 9.6 4.8x = 9.6 Divide each side by '4.8'. x = 2

Simplifying x = 2

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Answer: 3.6 is 5% of 72

Step-by-step explanation: If 3.6 is 5% then just multiply 3.6 by 95 to get 68.4 and add to get 72, Yw.

Answer:

A

Step-by-step explanation:

5x=10.5

x=2.1

Answer: The percentage change is 56.67%.

Step-by-step explanation:

From 120 meals to 52 meals, change in meals = ( 120- 52) meals

= 68 meals

The percentage change = \(\dfrac{\text{change in meals}}{\text{Original quantity of meals}}\times100\)

\(=\dfrac{68}{120}\times100\\\\=56.67\%\)

Hence, the percentage change is 56.67%.

Answer:

Find the perimeter of a park that measures 7 miles by 910 miles. Get the answers you need, now! ... Advertisement tasha005111 is waiting for your help. Add your answer and earn points. kaylapoo34 kaylapoo34 Answer: the answer is 130. Step-by-step explanation: ... 15 Niles and Bob sailed at the same time for the same length of time.

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

497/√302 = 49.7

z-score = (44-0)/49.7 = 0.88

Probability = 0.8133

You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.

For the given data:

Mean (μ) = 269 days

Standard deviation (σ) = 17 days

To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.

To find the z-score for the 1% percentile (lower bound):

z1 = Φ^(-1)(0.01)

Similarly, to find the z-score for the 99% percentile (upper bound):

z2 = Φ^(-1)(0.99)

Now, we can calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:

lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days

upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days

Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.

Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:

Mean of sample means (μ') = μ = 269 days

Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229

To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').

Now, calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:

lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days

upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days

Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

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The number of possibilities for selection is 2,035,000 ways

This question has to do with the combination

Given the following parameters

Total number of students = 30 students

If 7 students are to be selected from a pool of 30 students, the number of ways this can be done is expressed as:

30C7 = 30!/(30-7)!7!

30C7 = 30*29*28*27*26*25*24*23!/23!*7!

30C7 = 30*29*28*27*26*25*24/7!

30C7 = 10,260,432,000/5040

30C7 = 2,035,800

This shows that the number of possibilities for selection is 2,035,000 ways

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Answer:

cross multiple

17×f=34×7

17f/17=578/17

f=34

Answer:

2.55

Step-by-step explanation:

3/4 is equivalent to 0.75

So,

12 3/4 is equivalent to 12.75

so,

12.75 acres/5 children= 2.55 acres per child

Answer:

Step-by-step explanation:

\(\frac{2}{5} : \frac{1}{15}\\\)

LCM of the denominator = LCM ( 5 , 15 ) = 15

∴ Now we have to multiply LCM by both the fractions , we get ,

\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)

Using the concept of ratio and Pythagoras theorem on the similar triangle, the distance from the library to the park is 4√2 miles and the distance of the park from the football field is 4√6 miles

Similar triangles are triangles that have the same shape but not necessarily the same size. Two triangles are similar if and only if their corresponding angles are congruent (equal in measure) or in other words, if the ratio of any two corresponding sides of the triangles is equal.

In this problem, using ratios;

a.

Let the distance from the library to the park be represented by x.

8 / x = x / 4

Cross multiply both sides

x² = 8 * 4

x² = 32

x = √32

x = 4√2 miles

b. The distance of the park from the football field?

Using Pythagoras theorem, the distance from the park to the football field can be calculated as the hypothenuse

y² = (4√2)² + 8²

y² = 96

y = 4√6 miles

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To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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The function that best shows the relationship between n and f(n) is;

f(n) = 24(0.5)ⁿ⁻¹

The function table that shows the amount of chlorine is given as;

n    1        2      3     5

f(n)  24     12      6    3

Where;

f(n) is the amount of chlorine in ounces, that was left in the pool after n weeks:

We can see that the value of f(n) is decreasing as n increases from the table.

Due to the fact that f(n) does not have common difference. Let us attempt tp see if it has a common ratio;

12/24 = 0.5

6/12 = 0.5

3/6 = 0.5

Using the formula for the nth term of a geometric progression is;

aₙ = arⁿ⁻¹

Where;

a represents the first term = 24

r represents the common ratio = 0.5

Thus, the equation of the function is;

f(n) = 24(0.5)ⁿ⁻¹

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Answer:

The y-intercept is at the point (0, 9).

Step-by-step explanation:

WE have the y intercept when x = 0:

-7(0) - 5y = -45

-5y = -45

y = -45/-5 = 9.

Answer:

-9

First, we must convert the equation into slope intercept form, by solving for y.

Step 1: Add 7x to both sides.

\(-7x-5y+7x=-45+7x-5y=-45+7x\\\)

Step 2: Regroup terms.

\(-5y=7x-45\)

Step 3: Divide both sides by -5.

\(y=-\frac{7x-45}{5}\)

\(y=-\frac{7}{5}x-9\)

Now we can determine the y-intercept by just looking at the equation! the y-intercept is the only constant, -9

​

I hope this helps!

A brainliest will be greatly appreciated!

Answer:

\( \frac{5 \sqrt{11} }{11} \)

you are correct !!

We know that

• M is the midpoint of FR.

• F(-2,3) and M(3,0).

The midpoint formula is

Where (x_1, y_1) represents point F and (x_2, y_2) represents point R (the missing point). So, our job is to find (x_2, y_2). Let's replace the information we have so far

Let's separate the coordinates, that is, the horizontal coordinate 3 belongs to the horizontal coordinate on the other side of the equation, and the vertical coordinate 0 belongs to the vertical coordinate on the other side of the equation. So, we can rewrite the equation we have as two equations.

The first equation will give us the horizontal coordinate of point R, and the second equation will give us the vertical coordinate of point R. Let's solve both of them

The image below shows all three points.

The function is a rectangular hyperbola with asymptote x = 1. Then the graph is given below.

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

The given function is a hyperbolic function.

Then the function will be

f(x) = 1/(2x - 2)

On simplifying the function, we have

f(x) = 1/2(x - 1)

The function is a rectangular hyperbola with asymptote x = 1.

The graph is given below.

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Answer:

Step-by-step explanation:

I got it right on edmentum, hope this helps !

The line parallel to the x-axis passing through the points (5,5) and (-5,5) has a slope of 0, indicating a horizontal line with a constant y-coordinate value of 5.

To determine the slope of the line that represents this relationship, we can use the formula for slope, which is given by:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, we are given two points on the line: (5,5) and (-5,5).

The change in y-coordinates is 5 - 5 = 0, as the y-coordinate remains constant.

The change in x-coordinates is -5 - 5 = -10.

Substituting these values into the slope formula, we get:

slope = 0 / -10 = 0

Therefore, the slope of the line that represents this relationship is 0.

A slope of 0 indicates that the line is parallel to the x-axis. This means that the line has a constant y-coordinate value for all x-coordinate values. In this case, the line passes through the point (5,5) and (-5,5), and it remains at y = 5 for all x-values.

Visually, a line with a slope of 0 would be a horizontal line on the coordinate plane. It does not have an upward or downward slope but remains parallel to the x-axis.

It's important to note that the slope of 0 indicates a relationship where the dependent variable (y) does not change with respect to the independent variable (x). In this case, no matter the value of x, the corresponding y-value remains constant at 5.

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