Could you please find X and show me how

Answer:

y = \(\frac{3}{2}\) x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )

m = \(\frac{12-6}{2-(-2)}\) = \(\frac{6}{2+2}\) = \(\frac{6}{4}\) = \(\frac{3}{2}\) , then

y = \(\frac{3}{2}\) x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (2, 12 ) , then

12 = 3 + c ⇒ c = 12 - 3 = 9

y = \(\frac{3}{2}\) x + 9 ← equation of line

The 90% confidence interval for the proportion of cans in the shipment that meet the specification is approximately 0.6892 to 0.7966.

To find the confidence intervals for the proportion of cans in the shipment that meet the specification, we can use the formula:

Confidence interval = sample proportion ± (critical value) * √(sample proportion * (1 - sample proportion) / sample size)

where:

- The sample proportion is the ratio of cans that meet the specification (52) to the sample size (70).

- The critical value depends on the desired confidence level and is based on the standard normal distribution. For a 95% confidence level, the critical value is approximately 1.96. For a 90% confidence level, the critical value is approximately 1.645.

- The sample size is 70.

Let's calculate the confidence intervals:

For a 95% confidence interval:

Sample proportion = 52/70 ≈ 0.7429

Confidence interval = 0.7429 ± (1.96) * √(0.7429 * (1 - 0.7429) / 70)

Calculating the values within the formula:

Confidence interval = 0.7429 ± (1.96) * √(0.7429 * 0.2571 / 70)

Confidence interval = 0.7429 ± (1.96) * √(0.1904 / 70)

Confidence interval = 0.7429 ± (1.96) * 0.0326

Confidence interval ≈ 0.7429 ± 0.0638

The 95% confidence interval for the proportion of cans in the shipment that meet the specification is approximately 0.6791 to 0.8067.

For a 90% confidence interval:

Sample proportion = 52/70 ≈ 0.7429

Confidence interval = 0.7429 ± (1.645) * √(0.7429 * (1 - 0.7429) / 70)

Calculating the values within the formula:

Confidence interval = 0.7429 ± (1.645) * √(0.7429 * 0.2571 / 70)

Confidence interval = 0.7429 ± (1.645) * √(0.1904 / 70)

Confidence interval = 0.7429 ± (1.645) * 0.0326

Confidence interval ≈ 0.7429 ± 0.0537

The 90% confidence interval for the proportion of cans in the shipment that meet the specification is approximately 0.6892 to 0.7966.

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Answer:

130

Step-by-step explanation:

The coordinates of the point V are given as follows:

V(0.4, 3.4).

The coordinates of point V are obtained applying the proportions in the context of the problem.

Point V partitions the segment RL in a 3:2 ratio, hence the equation relating these points is given as follows:

V - R = 3/5(L - R).

Then the x-coordinate of V is obtained as follows:

x + 5 = 3/5(4 + 5)

x = 5.4 - 5

x = 0.4.

The y-coordinate of V is obtained as follows:

y - 7 = 3/5(1 - 7)

y = 7 - 3.6

y = 3.4.

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It will take 62.91 years for Kevin to make the amount  $2500 to  $7500 .

In the question ,

it is given that ,

the amount that Kevin deposited (P) in bank = $2500

the interest rate (r) = 1.75% ,

the compound interest is quarterly ,

So , n is = 4 .

let the time taken to earn $7500 be = x years ;

Substituting the values in the Amount formula for the Compound Interest ,

Amount = P(1 + r/n)ⁿˣ

7500 = 2500(1 + 0.0175/4\()^{4x}\)

Simplifying further ,

we get ,

3 = (1.004375\()^{4x}\)

After applying log both the sides ,

we get ,

log(3) = 4x*log(1.004375)

x = log(3)/(4*log(1.004375))

Simplifying further ,

we have ,

x = 62.91 years .

Therefore , the time taken is = 62.91 years

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Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

The data set in discuss which contains three points and two of the residuals are 7 and -3 would have its third residual as; -4.

According.tinthe task content, the data set in discuss has three points and consequently should have three residuals.

Additionally, two of the three residuals have been given and on this note, it follows that the third residual must have a value such that the algebraic sum of all residuals is 0.

Hence, we have; -3 + 7 +x = 0;

x = 3-7 = 4.

Ultimately, the third residual is; -4.

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Answer:

65 degrees

Step-by-step explanation:

Correspnding angles postulate

Answer: 6.71, and 6.7

Step-by-step explanation:

In order to write to two decimal places, we must first calculate the square root of 45.

The square root of 45 is 6.708

Therefore, when we round, we get 6.71

In order to write to two sig figs, we remember that sig figs are the number digits without zeros on the end.

Therefore, all we take is the 6.7

Answer:

a) 6.71

b) 6.7

Answer:

5 kdkdjdnndndjdjdjdjd

Answer:

The correct answer: F (Scalene) and A (Acute)

Step-by-step explanation:

F. (Scalene):  By definition, a scalene triangle is a triangle that has no equal sides, and no equal angles. This definition matches your given triangle, since it has no equal sides and angles.

A. (Acute): By definition, an acute triangle is a triangle in which all the internal angles are less than 90 degrees. This definition matches your given triangle, since all of the internal angles are less than 90 degrees.

The given triangle is not obtuse, equilateral, right, and isoceles.

It is not an obtuse triangle because none of the angles are greater than 90 degrees.

It is not an equilateral triangle because its sides are not equal.

It is not a right triangle because none of its internal angles measure 90 degrees.

And it is not an isoceles triangle because by definition, an isoceles triangle must have two equal sides. Your given triangle has no equal sides.

The calculated t-statistic (-2.98) is less than the critical t-value (-2.571), we have sufficient evidence to reject the null hypothesis.

To test the hypothesis that the blood pressure has decreased after the training in the "biofeedback exercise program," we can conduct a one-sample t-test. The t-test allows us to determine whether the mean difference in blood pressure is significantly different from zero.

Given data:

Sample size (n) = 6

Mean difference (xd) = -10.2

Standard deviation of the differences (sd) = 8.4

Null hypothesis (H0): The mean difference in blood pressure is zero (i.e., no change after the training).

Alternative hypothesis (Ha): The mean difference in blood pressure is less than zero (i.e., blood pressure has decreased after the training).

Step 1: Calculate the t-statistic.

The formula for the t-statistic in a one-sample t-test is given by:

t = (xd - μd) / (sd / √n)

Where:

μd = the hypothesized population mean difference (under the null hypothesis), which is zero in this case.

t = (-10.2 - 0) / (8.4 / √6)

t = -10.2 / (8.4 / 2.45)

t = -10.2 / 3.43

t ≈ -2.98

Step 2: Determine the degrees of freedom (df).

The degrees of freedom for a one-sample t-test is (n - 1). In this case, df = 6 - 1 = 5.

Step 3: Determine the critical t-value.

Since we are conducting a one-tailed test (Ha: mean difference < 0), we need to find the critical t-value corresponding to the desired significance level (e.g., α = 0.05) and the degrees of freedom (df = 5). From t-tables or statistical software, the critical t-value for α = 0.05 and df = 5 is approximately -2.571.

Step 4: Compare the t-statistic with the critical t-value.

Since the calculated t-statistic (-2.98) is less than the critical t-value (-2.571), we have sufficient evidence to reject the null hypothesis.

Step 5: Interpret the results.

The test results indicate that there is a statistically significant decrease in blood pressure after the training in the "biofeedback exercise program." The participants' blood pressure has significantly reduced as a result of the training.

Distribution for the test:

The distribution for the test is a t-distribution with 5 degrees of freedom, as it is a one-sample t-test with a sample size of 6. The t-distribution is used because the population standard deviation is unknown, and we are estimating it using the sample standard deviation in the formula for the t-statistic.

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Complete question is below

An experiment is conducted to show that blood pressure can be consciously reduced in people trained in a "biofeedback exercise program." Six (6) subjects were randomly selected and the blood pressure measurements were recorded before and after the training. The difference between blood pressures was calculated (after − before) producing the following results: xd = −10.2, sd = 8.4. Using the data, test the hypothesis that the blood pressure has decreased after the training. What is the distribution for the test?

The solution to the two-step inequality is x ≥ 75.

In order to solve the two-step inequality for this problem, we need to first set up an equation to represent the situation.
Let's call the amount each student raised "x."
So, we know that 50 students raised a total of $1250, plus an additional amount "x" each. We want to know what "x" is in order for the total amount raised to be at least $5000.

So, our equation is:
50x + 1250 ≥ 5000
Now we can solve for "x" using the following steps:
1. Subtract 1250 from both sides of the equation:
50x ≥ 3750
2. Divide both sides by 50:
x ≥ 75
So, each student needs to raise at least $75 in order for the total amount raised to be at least $5000.
Therefore, the solution to the two-step inequality is x ≥ 75.

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Answer:

1.714 feet

Step-by-step explanation:

slope is rise over run.

rise would be the vertical measurement and run would be the horizontal measurement.

24/14 = 12/7

12/7 = 1.714

ANSWER

x = 41

EXPLANATION

The given angles are supplementary, so their measures add up to 180°,

Now we have an equation for x. First, add like terms,

Then subtract 16 from both sides of the equation,

And finally, divide both sides by 4,

Hence, x = 41.

Answer:

y-2/3x-4

the answer is (0,3)

3x+4y-12

the answer is (0,3)

In a post-anova planned comparison additional information increases the likelihood that the data may vary, leading to more degree of freedom.

The ANOVA test determines whether there is a general difference between the groups, but does not identify the precise groups that varied—only post hoc analyses do that.

Thus, the post-anova planned comparison makes use of a pooled estimate of data from more groups than just the number of studies whose means you intend comparing because more data increases the degree of freedom and the possibility that the data may change.

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Answer:

1 : 400

Step-by-step explanation:

\(\frac{3.5 x 10^{3} }{3.5 x 10^{3} } : \frac{1.4 x 10^{6 } }{3.5 x 10^{3} }\)

1 : .4 x \(10^{3}\)

1 : 4 x \(10^{2}\)

1 : 400

The absolute minimum and maximum values of the function f(x,y) = 1+xy – x – y on the region D, bounded by the parabola y = x^2 and the line y = 4, we can follow these steps:

Find the critical points of f(x,y) by setting the partial derivatives of f equal to zero:

fx = y - 1 = 0

fy = x - 1 = 0

Solving these equations simultaneously gives the critical point (1,1).

Check the boundary of region D, which is composed of two curves: y = x^2 and y = 4.

2.1. Along the curve y = x^2:

Substituting y = x^2 into f(x,y), we obtain a function of one variable:

g(x) = f(x, x^2) = 1 + x^3 - 2x^2

Taking the derivative of g(x) and setting it equal to zero to find its critical points:

g'(x) = 3x^2 - 4x = 0

x(3x - 4) = 0

Solving for x, we get x = 0 and x = 4/3. Plugging these values into g(x), we find that g(0) = 1 and g(4/3) = -1/27.

Therefore, the minimum value of f(x,y) along the curve y = x^2 is g(4/3) = -1/27, and the maximum value is g(0) = 1.

2.2. Along the line y = 4:

Substituting y = 4 into f(x,y), we obtain a function of one variable:

h(x) = f(x, 4) = 1 + 4x - x - 4

Simplifying, we get h(x) = 3x - 3.

Taking the derivative of h(x) and setting it equal to zero to find its critical point:

h'(x) = 3 = 0

Since h'(x) is never zero, there are no critical points along the line y = 4. We only need to check the endpoints of the line segment that lies within D.

At the endpoint (4/2, 4), we have f(2, 4) = -2, and at the endpoint (-2, 4), we have f(-2, 4) = 9.

Therefore, the minimum value of f(x,y) along the line y = 4 is f(2,4) = -2, and the maximum value is f(-2,4) = 9.

Compare the values obtained in steps 1 and 2 to find the absolute minimum and maximum values of f(x,y) on D.

The values of f at the critical point (1,1), along the curve y = x^2, and along the line y = 4 are:

f(1,1) = -1

g(4/3) = -1/27

g(0) = 1

f(2,4) = -2

f(-2,4) = 9

Therefore, the absolute minimum value of f(x,y) on D is f(-2,4) = 9, and the absolute maximum value is f(0) = 1.

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Bisect typically means half but since we aren't given angle at the start so we can just have to solve for x.

(3x + 8) = (5x - 4)

3x = 5x - 12

-2x = -12

x = 6

Best of Luck!

Answer:

see below

Step-by-step explanation:

bisect angle

QRS = 3x + 8

SRT = 5x - 4

3x + 8 = 5x - 4

8 + 4 = 5x - 3x

12 = 2x

x = 12 / 2

x = 6

substitute x=6 back into the equation

QRS = 3x + 8

        = 3(6) + 8

        = 18 + 8

        = 26

SRT = 5x - 4

        = 5(6) - 4

        = 30 - 4

        = 26

a. the intersection points are (11√2 + 11, π/4), (11√2 + 11, 5π/4). b. the area of the region is π * 11^2 - 121π/8 = 121π/8 * (8/8 - 1) = 847π/8.

a. To find the intersection points of the curves, we can substitute the equations for r into each other and solve for θ:

11 + 11 sin θ = 11 + 11 cos θ

Subtracting 11 from both sides and simplifying, we get:

sin θ = cos θ

Dividing both sides by cos θ (which is not 0), we get:

tan θ = 1

This means that θ is of the form π/4 + kπ, where k is an integer. To find the corresponding values of r, we can substitute into either equation:

r = 11 + 11 sin θ = 11 + 11 sin(π/4 + kπ) = 11 + 11/√2 = 11√2 + 11

Therefore, the intersection points are:

(11√2 + 11, π/4), (11√2 + 11, 5π/4)

b. The region that lies within both curves is a circle with radius 11, centered at (11, 0), minus a sector of a circle with radius 11 and central angle π/4. The area of the sector is (π/4)/2π times the area of the full circle, which is (π/4)/2π * π * 11^2 = 121π/8. Therefore, the area of the region is:

π * 11^2 - 121π/8 = 121π/8 * (8/8 - 1) = 847π/8.

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The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.

The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.

First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.

To find the circumference of the circle, we can use the formula:

C = πd

where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:

C = 3.14 x 8.4 = 26.376

Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).

To find the area of the circle, we can use the formula:

A = πr²

where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:

A = 3.14 x (4.2)² = 55.3896

Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).

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So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

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The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).

In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)

(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).

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Answer:

4 1/2

Step-by-step explanation:

Matt mixed 2/3 cups of strawberries.

1 1/2 cups of pineapples

2 1/3 cups of grapes

The first step is the calculate the total mixture

= 2/3 + 1 1/2 + 2 1/3

= 2/3 + 3/2 + 7/3

= 27/6

= 9/2

Therefore the amount of 1-cup serving of salad made by Matt can be calculated as follows.

= 9/2 /1

= 9/2

= 4 1/2

Hence Matt made 4 1/2 of 1-cup servings of salad

We can conclude that we are 95% confident that the true proportion of American adults who believe in aliens lies between 0.63 and 0.81 is the answer.

In a survey conducted on an SRS of 200 American adults, 72% of them said they believed in aliens. We have to provide a 95% confidence interval for the percent of American adults who believe in aliens. A confidence interval is a range of values that estimates a population parameter with a specific level of confidence.

The formula for a confidence interval for a population proportion is: p ± zα/2  ×  √((p(1-p))/n) where, p is the sample proportion, zα/2 is the z-value for the level of confidence, and n is the sample size.

Here, p = 0.72, n = 200, α = 1 - 0.95 = 0.05/2 = 0.025 (for a 95% confidence interval), and zα/2 = 1.96 (from the z-table).

Now, let's plug in the values: p ± zα/2  ×  √((p(1-p))/n) = 0.72 ± 1.96 × √((0.72(1 - 0.72))/200)= 0.72 ± 0.0894

Thus, the 95% confidence interval for the percent of American adults who believe in aliens is (0.63, 0.81).

Therefore, we can conclude that we are 95% confident that the true proportion of American adults who believe in aliens lies between 0.63 and 0.81.

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Answer:

90

Step-by-step explanation:

180 divided by 2 is 90