Help please!!!
Find the value of x. If necessary, write your answer in simplest radical form.
24
20

Answer:

The answer I think would be 7. Hope this helped!!

Step-by-step explanation:

Probabibility = 1/6 * 1/6 = 1/36 = 2.77%.

The area that Gretchen will be refinishing is 60 sq ft.

To find the area of a regular hexagon, we can use the formula: Area = (3 * √3 * s^2) / 2, where "s" is the length of one side of the hexagon.

Given that the length of one side is 4 feet, we can substitute this value into the formula:

Area = (3 * √3 * 4^2) / 2

= (3 * √3 * 16) / 2

= (48 * √3) / 2

= 24 * √3

≈ 24 * 1.732 (approximating √3 as 1.732)

≈ 41.472

Therefore, the area that Gretchen will be refinishing is approximately 41.472 square feet. However, none of the provided answer choices match this value.

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(C) The difference between an actual and expected value for the response variable y is known as a residual. If it is positive, the observed value is greater than the expected value.

The discrepancy between a response variable's observed value and its expected value as predicted by the regression line.

A residual is a discrepancy between an observed and expected value for the response variable y.

In the event that it is positive, the observed value exceeds the expected value.

The information that was ignored throughout the (first) cycle of the modeling is contained in the residuals, which serve as a significant source of information.

They must thus divulge something to us.

It is possible to describe the residual plot to the students as a kind of magnifier for the modeling procedure.

Therefore, (C) the difference between an actual and expected value for the response variable y is known as a residual. If it is positive, the observed value is greater than the expected value.

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Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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The Jackson family averaged 22.71 miles per gallon on their trip.

To find out the average miles per gallon used by the Jackson family on their trip, the distance they covered and the amount of fuel they consumed are both necessary information.

They started their trip with an odometer reading of 18,649.3 miles, and the odometer reading at the end of the trip was 20,630.5.

The distance covered, therefore, is:20,630.5 - 18,649.3 = 1,981.2 miles

Next, to determine the average miles per gallon, divide the total distance covered by the amount of fuel consumed:1,981.2 miles ÷ 87.3 gallons

= 22.71 miles per gallon.

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Answer: f(t) = (e^(-3t)) - (e^(-4t)).  We want to find the inverse Laplace transform of the function F(s) = 1/((s+3)(s+4)).

Using partial fractions, we can write F(s) as:

F(s) = A/(s+3) + B/(s+4)

Multiplying both sides by (s+3)(s+4), we get:

1 = A(s+4) + B(s+3)

Setting s=-3, we get A = -1, and setting s=-4, we get B = 1.

Therefore, we can write F(s) as:

F(s) = (-1/(s+3)) + (1/(s+4))

Using the convolution theorem, we can find the inverse Laplace transform of F(s) by convolving the inverse Laplace transforms of 1/(s+3) and 1/(s+4).

Taking the inverse Laplace transform of 1/(s+3), we get e^(-3t).

Taking the inverse Laplace transform of 1/(s+4), we get e^(-4t).

Therefore, the inverse Laplace transform of F(s) is:

f(t) = (e^(-3t)) - (e^(-4t))

Answer: f(t) = (e^(-3t)) - (e^(-4t))

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Answer:

An even number is a number that can be divided into two equal halves.

Also even numbers end in one of these digits: 0, 2, 4, 6, or 8

12 + 12 + 12 + 12 = 48

48 with the digit 8

48 divided in half gives two equal halves:

48/2 = 24

The number 24 can be added twice to check that the answer is correct:

24 + 24 = 48

So to summarize:

The sum of 12 + 12 + 12 + 12 is an even number because it can be equally divided in two halves and it ends in the digit 8.

hope this helps and please make me brainliest if it did :)

Answer:

-18 + 3k

3k - 6

24k - 48

Step-by-step explanation:

thats just to name a few of the infinite possibilites

The radius of the circle is approximately =71.96 units

Circles can be defined by their radii and all points on the circumference of a circle are equidistant from the center. Circles are widely used in mathematics, science and engineering for various applications, including modeling and solving problems in geometry.

The formula for the circumference of a circle is 2 * pi * r, where r is the radius.

Given the circumference, we can solve for the radius:

452.16 = 2 * pi * r

r = 452.16 / (2 * pi)

The radius of the circle is approximately 71.96 units.

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There are 62,208,000 5-letter sequences (formed from the 26 letters) with repetition allowed that contain exactly 2 a's and exactly 1 n.

To form a 5-letter sequence with exactly 2 a's and exactly 1 n, we need to select the positions for the 2 a's and the 1 n, and then fill the remaining 2 positions with any of the remaining 24 letters (since repetition is allowed).

The number of ways to select the 2 positions for the a's out of the 5 positions is given by the binomial coefficient C(5,2) = 10. Once the 2 positions for the a's have been selected, there is only 1 position left for the n. Therefore, the number of ways to select the 3 positions for the 2 a's and 1 n is 10.

10 × 26 × 26 × 26 × 24 × 24 = 62,208,000

Therefore, there are 62,208,000 5-letter sequences (formed from the 26 letters) with repetition allowed that contain exactly 2 a's and exactly 1 n.

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The revised MeanMedian2 class allows the user to input up to 20 values, with the option to stop entering numbers by inputting 9999. It calculates both the mean and median of the provided values.

To implement this functionality, the MeanMedian2 class can prompt the user to enter values in a loop until either 20 values are entered or the user inputs 9999. The entered values can be stored in a list. Once the user is done entering values, the class can compute the mean and median. For the mean, it can sum all the values in the list and divide by the number of values. For the median, it needs to handle two scenarios: an odd number of values and an even number of values. If the list has an odd number of values, the median can be obtained by simply finding the middle value. However, if there is an even number of values, the two middle values can be averaged to get the median.

With this revised class, users can easily input any number of values, up to 20, and get accurate mean and median calculations. Additionally, the option to quit by entering 9999 provides a convenient way for users to stop entering values whenever they want. This updated implementation improves the flexibility and usability of the MeanMedian2 class.

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Step-by-step explanation:

divide 1 by seven in long division it will be 0.142857 then it repeat it self ...so to the nearest thousand is 0.143

Answer:

Step-by-step explanation:

a. The alternative hypothesis (H1) specifies that is greater than 26, indicating a directed alternative, this is a one-tailed test.

b. The alternative hypothesis is one-sided and argues that > 26, hence the critical value is 1.645.

c. The value of the test statistic (z-score) is z ≈ 3.82.

d. We reject the null hypothesis (H0) because the test statistic (z = 3.82) is higher than the crucial value (1.645).

In this case, the p-value is the probability of observing a sample mean of 28 or greater, assuming the population mean is 26.

a. This is a one-tailed test because the alternative hypothesis (H1) states that μ is greater than 26, indicating a directional alternative.

b. The decision rule for a one-tailed test at a significance level of 0.05 is to reject the null hypothesis (H0) if the test statistic is greater than the critical value. In this case, the critical value is 1.645 because the alternative hypothesis is one-sided and states that μ > 26.

c. The value of the test statistic (z-score) can be calculated using the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case:

x = 28

μ = 26

σ = 4

n = 34

Substituting the values into the formula:

z = (28 - 26) / (4 / √34) ≈ 3.82

d. Since the test statistic (z = 3.82) is greater than the critical value (1.645), we reject the null hypothesis (H0).

e-1. To calculate the p-value, we need to find the area under the standard normal distribution curve to the right of the test statistic (z = 3.82). We can use a standard normal distribution table or a calculator to find this area.

The p-value is the probability of observing a test statistic as extreme as the one calculated (or more extreme) under the null hypothesis.

e-2. Interpreting the p-value: The p-value represents the probability of obtaining a sample mean as extreme as the one observed (or more extreme) if the null hypothesis is true.

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Answer:

Step-by-step explanation:

first, simplify the equation:

\($t=\sqrt[2]{\frac{h}{16}}$\\$$\rightarrow t^2=\frac{h}{16}$$\\\)

Substitute 0.6 for t:

\($$0.6^2=\frac{h}{16}$\\\rightarrow 0.36=\frac{h}{16}\\\rightarrow h=0.36\cdot16\\\rightarrow h=5.76\\\boxed{5.76}\)

Answer:

24

Step-by-step explanation:

Let x be the original number of people who entered the room

Since 2/3 of the people leave, 1/3 of the people remain = (1/3)x

If 2 more people leave, number of people remaining in the room = (1/3)x - 2

We know this to be 1/4 of the original number = (1/4)x

\(\rm{So\;\dfrac{1}{3}x - 2 = \dfrac{1}{4}x\\\\\)

Multiply throughout by 12 to get rid of the denominator

\(\rm{So\;12 \left(\dfrac{1}{3}x - 2\right) = 12\left(\dfrac{1}{4}x\right)\\\\\)

\(4x - 24 = 3x\\\\\implies x = 24\\\\\)

Original number of people who entered the empty room = 24

Answer:

24.99

Step-by-step explanation:

25.9-6.91=24.99

Answer:

incomplete question friend

Answer:ce  6x^2=216

Step-by-step explanation:

since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216

For the given line RC is parallel to TN with KH is transversal and HX ≅ XK then by ASA congruency triangles ΔRXH ≅ ΔNXK.

As given in the question,

In the given diagram,

Line RC is parallel to TN with KH is transversal

HX ≅ XK

In the triangles ΔRXH and ΔNXK we have,

Line RC is parallel to TN with KH is transversal

m ∠RHX = m ∠NKX ( alternate angles )

HX ≅ XK  ( given )

m ∠RXH  = m ∠NXK ( Vertically opposite angles )

By Angle side Angle (ASA) congruency we have,

ΔRXH ≅ ΔNXK

Therefore, for the given line RC is parallel to TN with KH is transversal and HX ≅ XK then by ASA congruency triangles ΔRXH ≅ ΔNXK.

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The required value of the given function is (f ⋅ g)(4) = 130.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

f(x)=3x+1 and g(x)=x²-6

(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).

(f ⋅ g)(x) = f(x) × g(x)

So, substituting x = 4:

(f ⋅ g)(4) = f(4) × g(4)

= (3 × 4 + 1)×(4² - 6)

= 13 × 10

= 130

So, (f ⋅ g)(4) = 130.

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The inequality that represents the area of the rectangle is: y(2y - 2) ≥ 15

Given:

width of rectangle = y cm

length of rectangle = (2y - 2) cm

Area = y(2y - 2)

We are given that the area of the rectangle is at least 15 sq cm.

Therefore, the inequality that represents the area of the rectangle is: y(2y - 2) ≥ 15

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Answer: 12 points

Step-by-step explanation:

Since games,Pablo scored an average 21 points per game in 5 games. This means that he had a total point of:

= 21 × 5 = 105 points

To get his score in the fifth game, we add the points for the first four games and then subtract from 105 points. This will be:

= 105 - (21 + 17 + 25 + 30)

= 105 - 93

= 12

He had 12 points on his fifth game.

The value of cos 149 degree as calculated from the calculator is found out to be -0.857167301.

Which on round off is , -0.85.

The formula to calculate the angle of depression is , θ = tan-1 (Opposite Side/Adjacent Side) .

Therefore, the AOD for cos149 degree is found out to be as ,

α = arctan(vertical distance / horizontal distance)

α = arctan(10 / 11.998)

α = arctan(0.83347224537423)

α = 0.69482025147278 ° ≈ 0.69 °

The angle of depression is defined as the point of meeting of a horizontal line with the line between the item and the observer's eye. This angle is determined by two factors , which are their height and distance.  If the item is below the observer's level, the angle produced between the horizontal line and the observer's line of sight is known as the angle of depression.

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The probability of a car rolling over in a crash is approximately 0.016, or 1.6%, indicating that it is unlikely for a car to roll over in a crash.

We have,

To find the probability that a randomly selected passenger car crash results in a rollover, we divide the number of rollovers by the total number of crashes:

Probability of a rollover = Number of rollovers / Total number of crashes

Probability of a rollover = 83,600 / (83,600 + 5,127,400) ≈ 0.016

The probability of a rollover is approximately 0.016, or 1.6%.

Since the probability is relatively low, it can be considered unlikely for a car to roll over in a crash.

Thus,

The probability of a car rolling over in a crash is approximately 0.016, or 1.6%, indicating that it is unlikely for a car to roll over in a crash.

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The distance that Nick has to drive to reach Kansas will be at least 250 miles.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Since Nick is driving from Brookville to Kansas City, a distance of more than 325 miles and after driving 75 miles, Nick stops for gas.

An inequality to determine how much farther Nick has to drive to reach Kansas City will be:

x > 325 -75

x > 250

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Answer:

1 pin = 473.17 ml

Step-by-step explanation:

1 pin = 473.17 ml

To convert pin to ml, you need to take the number of pin times 473.17.