what are the x intercepts of the graph of the function (x-2) (x+1)​

it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

A cluster sample is a sampling technique where the population is divided into clusters or groups, and a subset of clusters is selected at random to form the overall sample. In this type of sampling, all members of the selected clusters are included in the sample.

In the given example, the airline company selects 555 flights as clusters and surveys every passenger on those flights. Each flight represents a cluster, and by selecting random flights, the company includes every passenger on those selected flights in the survey.

This cluster sampling approach is suitable when each group or cluster is representative of the overall population. It is useful when it is impractical or costly to sample every individual unit within the population, but the selected clusters are expected to reflect the characteristics of the entire population.

Cluster sampling allows for more practical data collection, particularly when dealing with large populations or geographically dispersed units. However, it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

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Answer:

C/(lh)=b

Step-by-step explanation:

C=lbh

Divide each side by lh to isolate b

C/(lh)=lbh/ (lh)

C/(lh)=b

The y-intercept of the function f(x) is approximately (0, 12.87).To find the y-intercept (0, b) of the linear function f(x), we can use the given x-intercept and the angle at which it intersects the x-axis.

Given that the x-intercept is (-6, 0), we know that when x = -6, the function f(x) is equal to 0.

Now, let's find the slope of the line using the angle of intersection. The angle of 67 degrees represents the angle between the line and the positive x-axis. The slope of the line is equal to the tangent of this angle.

tan(67°) ≈ 2.1445

Therefore, the slope of the line is approximately 2.1445.

Using the point-slope form of a linear equation, we can write the equation as:

y - 0 = 2.1445(x - (-6))

Simplifying the equation:

y = 2.1445x + 12.867

The y-intercept occurs when x = 0. Substituting x = 0 into the equation, we can find the value of y:

y = 2.1445(0) + 12.867

y ≈ 12.867

Rounding the y-intercept to two decimal places, we find that the y-intercept is approximately (0, 12.87).

Therefore, the y-intercept of the function f(x) is approximately (0, 12.87).

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An exponential function has the form

Therefore, to find an exponential function that satisfies our condition, we need to find a and b.

From f(-2) = 1, we have

and from f(7) = 63, we have

Solving for a in equation (1) gives

substituting this value of a into equation (2) gives

With the value of b in hand, we now find the value of a:

Hence, the exponential function is

Evaluating the above function at x = 1 gives

which is our answer!

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer:

choice C (-4x+12i)(x+3i)

Step-by-step explanation:

(-4x+12i)(x+3i)

-4x^2-12i+12i+36i^2

-4x^2-36

Answer:

whats the question?

Step-by-step explanation:

Answer:

Remove the negative from the 1 on the first increasing interval

Answer:

m2=74

m3=74

m4=106

Step-by-step explanation:

m1+m2=180

180-106=74

m2=m3

m1=m4

There are three areas of rhombus.

Using Diagonals                A = ½ × d1 × d2

Using Base and Height    A = b × h

Using Trigonometry          A = b2 × Sin(a)

Here, we have only the height and base, so formula 2 can be used.

A = b x h = 21 * 19 = 399 in²

Answer:

Step-by-step explanation:

income

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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The confidence interval for the mean voltage at which the warning light occurs is approximately (101.55, 110.45).

To test the hypothesis that the mean voltage activation is different from MHA Controls' claim, we need to calculate a confidence interval for the mean voltage at which the warning light occurs. We can use the sample mean and sample standard deviation to estimate the population mean.

Sample size (n) = 210

Sample mean (x(bar)) = 106 volts

Sample standard deviation (s) = 25 volts

Since the population standard deviation is unknown, we'll use the t-distribution for constructing the confidence interval. The formula for the confidence interval is:

CI = x(bar) ± t × (s / √n)

Where x(bar) is the sample mean, s is the sample standard deviation, n is the sample size, and t is the critical value from the t-distribution corresponding to the desired confidence level and degrees of freedom.

Given that we want a 0.01 significance level, the confidence level is 1 - significance level = 1 - 0.01 = 0.99. Since the sample size is large (n > 30), we can approximate the t-distribution with a normal distribution.

Using a standard normal distribution table, the critical value corresponding to a 0.99 confidence level is approximately 2.58.

Plugging in the values into the formula, we have:

CI = 106 ± 2.58 × (25 / √210)

First, let's calculate the value of (25 / √210):

(25 / √210) ≈ 1.725

Now, we can substitute this value into the equation:

CI = 106 ± 2.58 × 1.725

Next, let's calculate the product of 2.58 and 1.725:

2.58 × 1.725 ≈ 4.4485

Finally, substitute this value back into the equation:

CI = 106 ± 4.4485

To obtain the confidence interval, we calculate both the upper and lower bounds:

Lower bound: 106 - 4.4485 ≈ 101.5515

Upper bound: 106 + 4.4485 ≈ 110.4485

A confidence level of 0.99 means that if we were to repeat this sampling procedure multiple times, approximately 99% of the calculated confidence intervals would contain the true population mean.

The confidence interval provides information for decision-making regarding the hypothesis test. If the claimed mean voltage of 110 volts falls outside the confidence interval, it suggests that the mean voltage activation is indeed different from MHA Controls' claim. However, the final decision should be made after conducting the hypothesis test in step 2.

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Step-by-step explanation:

The value of the expression can be calculated using the order of operations, also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

The expression is:

2 + [(15 + 3) × 2]

According to PEMDAS, we should first evaluate the expression within the parentheses:

15 + 3 = 18

So, the expression becomes:

2 + [18 × 2]

Next, we perform the multiplication:

18 × 2 = 36

Now, we substitute the result back into the original expression:

2 + 36

Finally, we perform the addition:

2 + 36 = 38

So, the value of the given expression is 38.

If triangle ABC is translated and rotated onto triangle DEF, point B lies on Point F. Option C is correct.

A translation is defined as the shifting of a shape left, right, up, or down. The translated shapes appear to be the same size as the original, indicating that they are congruent. They've simply shifted in one or more directions.

Here,
Triangle ABC is first translated down by 5 units on the negative y-axis,
Then reflected across the y-axis,
After reflection, triangle ABC is superimposed on the triangle EFD,
Where point lies on point B lies on point F.

Thus, point B lies on point F after certain translations.

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Answer:

Pretty sure its 30

Step-by-step explanation:

Hope this helps!

The given differential equation is a second-order homogeneous equation. The general solution is: y = C1 + C2x, where C1 and C2 are constants.

Using the initial conditions, the particular solution is: y = 5 - 3x.

The general solution of the initial value problem is y = C1 + C2x, with the specific solution y = 5 - 3x satisfying the initial conditions y(0) = 5 and y'(0) = -3.

The general solution of the given differential equation is y(x) = C1 + C2x, where C1 and C2 are constants.

The given differential equation is a second-order linear homogeneous differential equation with constant coefficients. The general form of such an equation is y'' + p*y' + q*y = 0, where p and q are constants.

In this case, the equation is y'' - 2y' = 0. The characteristic equation associated with this differential equation is r^2 - 2r = 0. By solving this equation, we find two distinct roots: r1 = 0 and r2 = 2.

The general solution of the differential equation is then given by y(x) = C1*e^(r1*x) + C2*e^(r2*x). Since r1 = 0, the term C1*e^(r1*x) reduces to C1. Thus, the general solution becomes y(x) = C1 + C2*e^(2*x).

To find the particular solution that satisfies the initial conditions y(0) = 5 and y'(0) = -3, we substitute these values into the general solution and solve for the constants C1 and C2.

Using y(0) = 5, we have C1 + C2 = 5. Using y'(0) = -3, we have 2*C2 = -3.

Solving these equations simultaneously, we find C1 = 5 and C2 = -3/2.

Therefore, the solution to the initial value problem is y(x) = 5 - (3/2)*e^(2*x).

The gs of the following de and the solution of the ivp: { ′′ 2 ′ = 0 (0) = 5, ′ (0) = −3 the general solution is: y = C1 + C2x, where C1 and C2 are constants.

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Answer:

Step-by-step explanation:

3x^2-7

Step-by-step explanation:

JL would be the total length

The Sum of JK and KL would be equal to the value of JL

4x + 3x = 42

Finding x

7x = 42

x = 42/7

x = 6

Hence,

Value of x is 6

Step-by-step explanation:

4x + 3x = 42

7x = 42

x = 42/7 = 6 answer

Answer:

Substraction

Step-by-step explanation:

Given that  

The amount paid in the year 2018 is $3,200

And, in the year 2019 the amount paid is $3,516'

We need to find the differnece between two years so how we can find

Basically we need to subtract the amount i.e.

= $3,516 - $3,200

= $316

hence, the difference is of $316 from 2018 to 2019

Answer:

42

Step-by-step explanation:

its so easy man just count on your fingers

The other possibility is that the new battery will last longer on average than the known average battery life of the previous model. A one-sample t-test for a population mean is an appropriate test for the researchers' hypothesis. So, option B. is the correct choice.

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Using the definition of congruent triangles, the missing values are:

x = 35

y = 30°

Given that the two triangles in the image above are congruent, it implies that all its corresponding angles and corresponding side lengths have equal measure.

Therefore, we have:

2x - 10 = x + 25

Solve for x:

2x - x = 10 + 25

x = 35

Plug in the value of x to find the missing angles:

y + 90 + (2x - 10) = 180 [triangle sum theorem]

y + 90 + (2(35) - 10) = 180

y + 90 + 60 = 180

y = 30°

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Answer:

see explanation

Step-by-step explanation:

1

\(\frac{2}{3}\) x - 4 = 20 ( multiply through by 3 to clear the fraction )

2x - 12 = 60 ( add 12 to both sides )

2x = 72 ( divide both sides by 2 )

x = 36

2

4 = \(\frac{-1+x}{2}\) ( multiply both sides by 2 to clear the fraction )

8 = - 1 + x ( add 1 to both sides )

9 = x

3

12(x + 9) = - 108 ( divide both sides by 12 )

x + 9 = - 9 ( subtract 9 from both sides )

x = - 18

4

5x + 14 = - 7 ( subtract 14 from both sides )

5x = - 21 ( divide both sides by 5 )

x = - \(\frac{21}{5}\) = - 4.2

Answer:

I think it might be A if not then its be

Step-by-step explanation:

sorry if its not right

The area to the left of the z-score corresponds to the cumulative probability up to that point. The correct answer is b. z=0.84.

To find the z-score that separates the top 70% from the bottom 30%, we need to look up the corresponding percentile in a standard normal distribution table.

The area to the left of the z-score corresponds to the cumulative probability up to that point. For example, if we look up a z-score of 0.84 in the table, we find that the area to the left of that value is 0.7995, or 79.95%.

Since we want to find the value that separates the top 70% from the bottom 30%, we subtract 0.30 (or 30%) from 1.00 to get 0.70 (or 70%). We then find the z-score that corresponds to that area, which is approximately 0.84.

Therefore, the answer is b. z=0.84.

To find the Z-score value that separates the top 70% of a normal distribution from the bottom 30%, you need to look for the Z-score corresponding to the 70th percentile. In this case, the correct answer is:

b. z=0.52

Here's a step-by-step explanation:

1. Determine the percentile you're looking for, which is the 70th percentile (separating the top 70% from the bottom 30%).
2. Consult a Z-score table or use a calculator to find the Z-score corresponding to the 70th percentile.
3. The Z-score for the 70th percentile is approximately 0.52.

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Answer:

The volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)

Height is the dimension that would relate to water level.

Step-by-step explanation:

The volume of a rectangular prism can be calculated using the formula

\(V = lwh\)

\(V\) is the volume

\(l\) is the length

\(w\) is the width

and \(h\) is the height

From the question,

When the day started the pool was completely full of water, that is, the volume of water in the pool will be the capacity of the rectangular prism kiddie pool.

From the question,

\(l\) = 6 feet

\(w\) = 7 feet

\(h\) = 10 feet

Hence,

\(V = 6 feet \times 7 feet \times 10 feet\)

\(V = 420 cubic feet (ft^{3} )\)

This is the volume of the water in the pool when the day started.

Also, from the question

After 3 hours, the water level had decreased by 1.5 feet, that is the height had decreased by 1.5 feet

Then, the new height is

10 feet - 1.5 feet = 8.5 feet

h = 8.5 feet

Now, to determine the volume after 3 hours

\(V = 6 feet \times 7 feet \times 8.5 feet\)

\(V = 357 cubic feet (ft^{3} )\)

Hence, the volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)

The dimension that would relate to water level will be the height.

The given statement "As the level of confidence increases the number of item to be included in a sample will decrease when the error and the standard deviation are held constant." is False because error increases.

As the level of confidence increases, the required sample size will increase when the error and standard deviation are held constant.

This is because as the level of confidence increases, the range of the confidence interval also increases, which requires a larger sample size to ensure that the estimate is precise enough to capture the true population parameter with the desired level of confidence.

For example, if we want to estimate the mean height of a population with a 95% confidence interval and a margin of error of 1 inch, we would need a larger sample size than if we were estimating the same mean height with a 90% confidence interval and the same margin of error.

The larger sample size ensures that the estimate is more precise and that we have a higher level of confidence that it captures the true population parameter.

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