Solving an Equation
Follow the steps to finish solving the equation -3x + 18 = 7x.
1. Add 3x to both sides to isolate the variable term.
2. Divide both sides by 10.
X=

When a coin will be flipped three times, and the number of heads recorded. The reason that, this is a binomial experiment is "there are a set number of trials, n. The coin would be flipped three times, a fixed number of times."

A binomial experiment is one that has a fixed number of independent trials only with two outcomes. For instance, the outcome could be a yes or no response. When you toss a coin, you might wonder, "Will I get heads?" The response is either yes or even no.

That is the basic idea, but in order to label an experiment a binomial experiment, the following rules must be followed.

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Answer:

Step-by-step explanation:

To find the equation of a line that passes through two given points, we can use the point-slope form of the equation of a line. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope of the line, (x1, y1) is a point on the line, and (x, y) are the coordinates of any other point on the line.

To use this formula, we first need to find the slope of the line that passes through the two given points (-4, -2) and (-6, -5). The slope, denoted by m, is given by the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-4, -2) and (x2, y2) = (-6, -5). Substituting these values, we get:

m = (-5 - (-2)) / (-6 - (-4))

= (-5 + 2) / (-6 + 4)

= -3 / -2

= 3/2

So, the slope of the line is 3/2.

Now, we can choose either of the two given points and use it with the slope to write the equation of the line. Let's use the first point, (-4, -2). Substituting the values of x1, y1, and m in the point-slope formula, we get:

y - (-2) = (3/2)(x - (-4))

Simplifying the right side of the equation, we get:

y + 2 = (3/2)(x + 4)

Expanding the right side, we get:

y + 2 = (3/2)x + 6

Subtracting 2 from both sides, we get:

y = (3/2)x + 4

So, the equation of the line that passes through the points (-4, -2) and (-6, -5) is:

y = (3/2)x + 4

Answer:

85, 95, 95

Step-by-step explanation:

A = 85

B = 95

C = 95

I hope this helped!

Answer:

The absolute value of 12, is 12...

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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The appropriate "Null-Hypothesis" would be (a) population proportion is equal to 0.60.

In hypothesis testing, the null-hypothesis (H₀) represents the default assumption or claim that is being tested. It is generally stated as an equality or a specific value that is being tested against an alternative hypothesis (H₁).

In this case, the null-hypothesis is stating that the population proportion is equal to a specific value of 0.60. The alternative hypothesis, which is not provided in the options, would state a different relationship or inequality, such as the population proportion being greater than or less than 0.60.

The other options (b) the population proportion is not equal to 0.60 and (c) the sample-proportion is equal to 0.60, are not appropriate null hypotheses because they do not directly test population proportion.

Therefore, the correct option is (a).

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The given question is incomplete, the complete question is

Which of the following would be appropriate null hypothesis?

(a) the population proportion is equal to 0.60

(b) the population proportion is not equal to 0.60

(c) the sample proportion is equal to 0.60

(d) all these choices are true.

The appropriate null hypothesis would be a. The population proportion is equal to 0.60.

In hypothesis testing, the null hypothesis is a statement that assumes there is no significant difference or relationship between variables. It is often denoted as H0. The null hypothesis is typically the opposite of the alternative hypothesis, which suggests that there is a significant difference or relationship.

For the given options:

Based on the given options, the appropriate null hypothesis would be:

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#SPJ11a. The population proportion is equal to 0.60.

Given function is y = x² and the line is y = 9

The curve is revolved around x-axis

The region R can be defined as (0, 3)

Firstly, we need to obtain the region of intersection of the curve and line as shown in the following figure:

Volume of solid generated by revolving R around x-axis

The area of the cross-section of the solid is πr², where r = y and πr² = πy²

Using the washer method, the volume can be calculated as:

\(∫_0^3 πy^2 dy = π ∫_0^3 y^2 dy = π [y^3/3]_0^3= π [3^3/3] = 9π\)

Part B:An integral expression to find the value of k can be written as follows:

\(2π ∫_0^3 (9-k-x^2)^2 dx = 9π\)

Therefore, the equation involving an integral expression that can be used to find the value of k is

\(2π ∫_0^3 (9-k-x^2)^2 dx = 9π.\)

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The required equation involving an integral expression that can be used to find the value of k is∫[a,b] [π(x^2 - k^2)dx] = 756π/5

Part A: Let's assume the disk method to calculate the volume of the solid generated when R is revolved about the x-axis.

By rotating the region R about the x-axis, we get a solid with circular cross-sections that can be sliced into disks.

The volume of each disk is the area of the cross-section times its width, where the width is the thickness of the disk.

To compute the volume of the solid generated when R is revolved about the x-axis, we first sketch a diagram of the region R bounded by the graph of y = x^2 and the line y = 9.

We observe that the region R is bounded above by the line y = 9, below by the x-axis, and by the y-axis on the left-hand side.

We must determine the points where the graph of y = x^2 intersects the line y = 9.

Hence,x^2 = 9

⇒ x = ± 3.

We see that the region R is bounded by the line x = -3 on the left-hand side and the line x = 3 on the right-hand side.

Using the disk method, we have the volume V of the solid generated by revolving R around the x-axis is given by the integral:

V = ∫[a,b] [πy^2 dx] = ∫[a,b] [π(x^2)^2 dx]

where a = -3 and b = 3

So, V = ∫[-3,3] [πx^4 dx]

Let's use integration by substitution, where u = x^5 and du = 5x^4 dx

Thus, the volume V of the solid generated when R is revolved about the x-axis is given by

V = ∫[-3,3] [πx^4 dx]

= π (x^5/5)|[-3,3]

= 756π/5.

Part B: We have to find the value of k for which the solid generated when R is revolved about the line y = k has the same volume as the solid in Part A.

We can obtain the integral expression by using the disk method. By rotating the region R about the line y = k, we get a solid with cylindrical cross-sections that can be sliced into circular disks of thickness δx. We must express the volume of each disk in terms of x and k.

Let the radius of the disk be R(x) and the height of the disk be h(x), then the volume of each disk is

V(x) = π(R^2(x) - k^2)h(x)δx

The volume of the solid generated when R is revolved around the line

y = k is

V = ∫[a,b] [π(R^2(x) - k^2)h(x)dx]

= ∫[a,b] [π(x^2 - k^2)dx]

where a = -3 and b = 3.

To find the value of k, we must solve the following equation:∫[a,b] [π(x^2 - k^2)dx] = 756π/5

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The annual rate of population growth in the US was about 1.2% in 2015, then the growth factor will be 1.012. The growth factor depends upon annual growth rate.

Growth factor typically refers to a constant multiplier that is used to calculate the growth or decay of a quantity over time. It is given as:

Growth factor = (1 + annual growth rate)

Therefore, the growth factor for the US in 2015 can be calculated as follows:

Growth factor (1+0.012) = 1.012

Therefore, the growth factor for the population of the US in the year 2015 was about 1.012.

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The value of an independent variable from the prior period is referred to as a lagged variable. Therefore, the correct option is A.

This is because the value is based on data from a previous time period and is used to predict the current value of the dependent variable. A lagged variable is important in time series analysis, where the values of a variable over time are analyzed to identify trends and patterns.

By including lagged variables in a model, we can account for the influence of past values on the current value, which can help to improve the accuracy of our predictions. Therefore, when working with time series data, it is important to include lagged variables as predictors in our models. Hence, the correct answer is option A.

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The distance between two trains is 224 miles.

The speed of one train is 75 miles per hour and the speed of the second train is 85 miles per hour.

The train is moving towards each other. So the relative speed of the train is,

So the distance between trains 224 miles is covered at the speed of 160 miles per hour.

Determine the time after which trains meet each other.

So two trains meet after 1.4 hours.

The area enclosed by the asteroid is 6π square units.

To use Green's Theorem to find the area enclosed by the asteroid, we need to first find the boundary of the region. We can parameterize the boundary by setting t = 0 to 2π and computing the corresponding points on the asteroid:

r(0) = (1, 0)

r(π/2) = (0, 1)

r(π) = (-1, 0)

r(3π/2) = (0, -1)

Now we can use Green's Theorem:

∫∫R (∂Q/∂x - ∂P/∂y) dA = ∮C Pdx + Qdy

where R is the region enclosed by the boundary C, P and Q are functions of x and y, and dA is the differential area element.

In this case, we can take P = 0 and Q = x, so that

∂Q/∂x - ∂P/∂y = 1

and the line integral reduces to

∮C x dy.

We can parameterize the boundary curve C as r(t) = cos(3t)i + sin(3t)j, 0 ≤ t ≤ 2π, and compute the line integral:

∮C x dy = ∫0^(2π) (cos3t)(3cos3t) + (sin3t)(3sin3t) dt = 3∫0^(2π) (cos^2 3t + sin^2 3t) dt = 3(2π) = 6π

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The probability of choosing a month with 31 days is the number of months with 31 days divided by the total number of months.

What is the probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

There are 12 months in a year, and 7 of them have 31 days. Therefore, the probability that a randomly chosen month has 31 days is:

P(month has 31 days) = 7/12

This is because each month is equally likely to be chosen, and there are 7 months with 31 days out of a total of 12 months.

Hence, the probability of choosing a month with 31 days is the number of months with 31 days divided by the total number of months.

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Answer:

for which one all ?

Step-by-step explanation:

because if so lemme know

The value of 150 is calculated using three numbers and the subtraction and division operators using algebra as, \(x = 200, y = 50, z = 1.\)

Given that we need to calculate 150 using three numbers and the subtraction and division operators using algebra.

So let us consider the three numbers x, y, z.

According to the given conditions, we can form the equation for the above statement.

So, \(150 = x - y/z  ----------(1)\)

Now we can substitute any 2 values in equation (1) and solve for the third value.

Let us take \(x = 200, y = 50.\)

Substituting these values in the above equation, we get \(150 = 200 - 50/z\)

Multiplying z on both sides we get,\(150z = 200z - 50\)

Multiplying (-1) on both sides we get,\(50 = 200z - 150zSo,50 = 50z\)

Dividing by 50 into both sides we get,\(z = 1\)

Now we got the value of z = 1, let us substitute the values of \(x = 200, y = 50 and z = 1\) in equation (1) and verify.

\(150 = 200 - 50/1150 \\= 200 - 50 \\= 150.\)

So the value of 150 is calculated using three numbers and the subtraction and division operators using algebra as, \(x = 200, y = 50, z = 1.\)

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Answer:

x = -3

Step-by-step explanation:

2x + y = -2

4x + y = -8

2x + y = - 2

y = -2x - 2

4x + y = - 8

y = -4x - 8

y = -2x - 2

y = -4x - 8

-2x - 2 = -4x - 8

4x - 2x = 2 - 8

2x = -6

2x/2 = -6/2

x = -3

To check just use da graph ;w;

The x is -3

Answer:

Step-by-step explanation:

x=  −1 −y/2

​

x= 4 −8−y/4

​

we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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The value of side x in the box is 8cm.

A cuboid defined as a solid or figure in three dimensions with six rectangular sides known as faces. A cuboid contains six faces, each of which is a rectangle with all four corners at 90 degrees. It has 12 edges and 8 vertices. A cuboid's opposing faces are always equal. It indicates that the cuboid's opposing surfaces are in the same dimension.

Surface area of box=152cm²

Given:

l=6cm

b=2cm

h=x cm

Surface area of box=2(lb+bh+lh)

152=2(6×2+2×x+x×6)

152=2(12+8x)

12+8x=76

8x=64

x=8

Hence, The value of side x of the box is8cm.

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Answer:

Nancy spent $19 on each book. Hope I helped you.

Answer: b. $2.00

Step-by-step explanation:

Answer:

The answer is C if i get it wrong then who ever gave you that is oof

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

40×40=1600

Go the cal and check it yrself plss

I'm just trying to help

Brainliest plss

If u like to

Thnx_Helperoverhere

Answer:

Well I only know 1 and its 3/5

Step-by-step explanation:

Answer:

FG = 16

Step-by-step explanation:

∆FEG is congruent to ∆GEH. Therefore,

FG = HG

Find x

x + 11 = 3x + 1 (substitution)

Collect like terms

x - 3x = -11 + 1

-2x = -10

Divide both sides by -2

x = -10/-2

x = 5

✔️FG = x + 11

Plug in the value of x

FG = 5 + 11

FG = 16

Answer:

300

Step-by-step explanation:

1 year -> 12 mths

12÷6=2

2x150=300

In unimodal distributions, when the mode, the median, and the mean coincide or are almost identical, the distribution is symmetrical. A symmetrical distribution has data values that are evenly distributed on both sides of the centerline or median.

The right half of a symmetrical distribution is a mirror image of the left half. For instance, a bell-shaped curve is symmetrical, meaning that data values are evenly distributed on both sides of the centerline or median. The normal distribution is a prime example of a symmetrical distribution, and it is unimodal. When data values in a distribution are skewed, the mode, the median, and the mean will differ. If the majority of the data values are concentrated to the right of the median, the distribution is positively skewed. In contrast, if the majority of the data values are concentrated to the left of the median, the distribution is negatively skewed. Therefore, the correct option is (b) Symmetrical.

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Answer:

The length of each side of Kamila’s square bedroom is;

For the Living room;

For the bedroom;

Recall that the area of Kamila’s rectangular living room is 2.5 times the area of her square bedroom;

Explanation:

Given that the area of Kamila’s rectangular living room is 2.5 times the area of her square bedroom. The length of the living room is 18 feet and its width is 1.25 times the length of a side of the bedroom.

Recall that the area of a rectangle can be calculated using the formula;

For the Living room;

For the bedroom;

Recall that the area of Kamila’s rectangular living room is 2.5 times the area of her square bedroom;

substituting equations 1 and 2 into equation 3;

Therefore, the length of each side of the square bedroom is;

Answer:

95800.77

Step-by-step explanation:

Answer:

95800.77

Step-by-step explanation:

Answer:

2+2 is 4-1 is 3 quick maths

Step-by-step explanation:

Answer:

10 to the 9th power

Step-by-step explanation: