What is the equation for this line? *

O y = -2x +1
O y = 1/2x + 1
O y = -2x - 1
O y = -1/2x + 1

If the standard deviation of the raw scores decreases the t test decreases

What is standard deviation?

For normal distributions, the standard deviation serves as a useful indicator of spread.

Data has a symmetrical distribution with no skew in normal distributions. As one moves away from the center, values start to taper off and the majority of values are concentrated in this area. Your data's average deviation from the distribution's center is indicated by the standard deviation.

Several scientific variables, such as height, test scores, or work satisfaction levels, have normal distributions. When you have the standard deviations of various samples, you may use statistical tests to compare their distributions and draw conclusions about the larger populations from which they were drawn.

t=(xbar-mu)/(s/√n)

With increase in standard deviation, the observed t test statistic decreases (all other values being same)

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Answer:

\( \triangle \: A'B'C' \: will \: have : \\ \angle \: A' \: at \: point \: ( - 1 ,\: 1). \\ \angle \: B' \: at \: point \: ( 1,\: 3). \\ \angle \: C' \: at \: point \: ( - 3 ,\: 3).\)

Answer:

B is your answer

Step-by-step explanation:

I believe the correct answer is B

Answer:...

Step-by-step explanation:

The general solution to the recurrence relation xₙ = 4xₙ₋₁ - 3nₙ₋₂ with initial conditions x₀ = 0 and x₁ = 1 is xₙ = 2ⁿ⁺¹ - n - 1.

The given recurrence relation xₙ = 4xₙ₋₁ - 3xₙ₋₂, with initial conditions x₀ = 0 and x₁ = 1, can be solved by analyzing the recursive formula. By examining the pattern, we observe that each term xₙ is derived by multiplying the previous term xₙ₋₁ by 4 and subtracting 3 times the term xₙ₋₂.

By solving for xₙ in terms of n using the initial conditions, we find that the general solution is xₙ = 2ⁿ⁺¹ - n - 1.

This solution combines a geometric pattern (2ⁿ⁺¹) with a linear decrement (n + 1) and an offset (-1). It satisfies the initial conditions and represents the sequence for any value of n.

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Answer:

=C+3.23M42.20

Step-by-step explanation:

you add the multiple

The equation relating C to M is C = 0.65M  + 9.45

From the question, we have:

The equations of the function are given as:

E = 0.60M + 11.95

L = 1.25M + 21.40

The function C is calculated using:

C = L - E

So, we have:

C =(1.25M + 21.40) - (0.60M + 11.95)

Open the brackets

C = 1.25M + 21.40 - 0.60M - 11.95

Collect like terms

C = 1.25M - 0.60M  + 21.40 - 11.95

Evaluate the like terms

C = 0.65M  + 9.45

Hence, the equation of the function C is C = 0.65M  + 9.45

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Answer:

Y = 40

Step-by-step explanation:

First, find the slope-intercept of the table

Slope-intercept form: y = mx + b

\(m=\frac{y_2-y_1}{x_2-x_1}\)

(3, 1) and (6,2)

\(m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}\)

\(y=mx+b\)

\(y=\frac{1}{3}x+b\)

Find b using (6,2):

\(y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b\)

\(y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x\)

\(y=\frac{1}{3}x\)

What will be the value of Y when X = 120?

Substitute 120 for x into \(y=\frac{1}{3}x\)

\(y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40\)

(120, 40)

Therefore, when X = 120, Y = 40

Hope this helps!

The speed of the boat in still water is 5 km/h.

Let's denote the speed of the boat in still water as "v" (in km/h). Since the boat travels 2 km upstream and 2 km downstream, we know that the total distance traveled is 4 km.

Let's first calculate the time taken to travel 2 km upstream. We know that the current is flowing at 2 km/h, so the effective speed of the boat relative to the river is (v - 2) km/h (since it is going against the current). Therefore, the time taken to travel 2 km upstream is

time taken = distance / speed = 2 / (v - 2) hours

Similarly, the time taken to travel 2 km downstream is

time taken = distance / speed = 2 / (v + 2) hours

The total time taken for the round trip (2 km upstream and 2 km downstream) is given as 11 minutes, which is equivalent to (11/60) hours. Therefore, we can write

2 / (v - 2) + 2 / (v + 2) = 11/60

Multiplying both sides by (v - 2)(v + 2) gives

2(v + 2) + 2(v - 2) = (v - 2)(v + 2)(11/60)

Simplifying the right-hand side gives

(v - 2)(v + 2)(11/60) = (11/3)v^2 - 44/3

Substituting this expression into the previous equation and simplifying gives

22v = (11/3)v^2 - 44/3

Multiplying both sides by 3 gives

66v = 11v^2 - 44

Rearranging and solving for v using the quadratic formula gives

v = (11 ± √(11^2 + 4×44))/22

Taking the positive solution (since v must be positive) gives

v = 5 km/h

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The two equations that can be used to determine the number of hits that he had each year are given as follows:

His hits by team are divided as follows:

Then the total number of hits is obtained by the sum of the number of hits that he obtained with each of the three teams, as follows:

t = 2098 + 702 + 210 = 3010.

Then the amount of hits that he obtained each year is obtained applying the proportion, dividing t by 18, as follows:

a = t/18.

Hence the result is given as follows:

a = t/18 = 3010/18 = 167 hits per year.

The options are given by the image shown at the end of the answer.

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Answer:

Simplifying

logx + -4 = 0

Reorder the terms:

-4 + glox = 0

Solving

-4 + glox = 0

Solving for variable 'g'.

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

Add '4' to each side of the equation.

-4 + 4 + glox = 0 + 4

Combine like terms: -4 + 4 = 0

0 + glox = 0 + 4

glox = 0 + 4

Combine like terms: 0 + 4 = 4

glox = 4

Divide each side by 'lox'.

g = 4l-1o-1x-1

Simplifying

g = 4l-1o-1x-1

Answer:

\(x=40000\)

Step-by-step explanation:

\(log(x)-log(4)=4\\log(\frac{x}{4})=4\\\frac{x}{4} = 10^4 \\x=4*10^4=40000\)

Answer:

what's the question

Step-by-step explanation:

what's the question and no it will be for free <3

(i) Yes, it is even and divisible by 3 as 1 + 0 + 2 = 3

(ii) No, it does not end in 5 or 0

What are Divisibility Rules?

Divisibility criteria can be used to determine whether or not to diminish a fraction. The rules are based on patterns seen while listing the multiples of any integer.

Solution:

(i) 102 is divisible by 6 - TRUE

It is because 102 is even number thus, it is divisible by 2 and since the sum of digits 1 + 0 + 2 is 3 therefore, it is divisible by 3

- Yes, it is even and divisible by 3 as 1 + 0 + 2 = 3

(ii) 102 is divisible by 5 - FALSE

It is because any number to be divisible by 5 it should always end with 5 or 0 at ones place.

- No, it does not end in 5 or 0

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Answer:

B. 84 deg

Step-by-step explanation:

Sides DE and FE are congruent since they both have the same length.

That makes angles D and F congruent.

m<D = m<F = 48

The sum of the measures of the angles of a triangle equals 180 deg.

m<E + m<D + m<F = 180

m<E + 48 + 48 = 180

m<E = 84

Miranda wants to wrap a box in the shape of a rectangular prism. So, the amount of wrapping paper needed to cover the exact surface area of the rectangular prism box is 13 square feet.

To find the amount of wrapping paper needed to cover the exact surface area of the rectangular prism box, we can use the formula SA = PH + 2B, where SA represents the surface area, P represents the perimeter of the base, H represents the height, and B represents the area of the base.

The rectangular prism box has dimensions of 2 ft (length), 1 ft (height), and 1.5 ft (depth). To find the surface area, we need to calculate the perimeter of the base (P) and the area of the base (B).

The perimeter of the base is the sum of all the sides, which can be calculated as 2 times the sum of the length and width. In this case, the length is 2 ft and the width is 1.5 ft, so the perimeter (P) is 2(2 + 1.5) = 2(3.5) = 7 ft.

The area of the base is simply the product of the length and width. In this case, the area (B) is \(2 ft * 1.5 ft = 3 ft^2\).

Now, we can substitute the values into the formula SA = PH + 2B. The surface area (SA) is the sum of the product of the perimeter (P) and the height (H) and twice the area of the base (2B). Since the height is 1 ft, we have SA = \(7 ft * 1 ft + 2(3 ft^2) = 7 ft^2 + 6 ft^2 = 13 ft^2\).

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The cross-section is a rectangle.

What is cross-section?

In physics, a cross-section refers to the measure of the probability of a specific type of interaction between particles in a collision or scattering event. It is a quantitative measure of the effective area presented by the target particle to an incoming projectile particle.

What is rectangle?

A rectangle is a 2-dimensional geometric shape with four sides and four right angles (90-degree angles). It is a type of parallelogram, where opposite sides are parallel and equal in length. The two pairs of opposite sides of a rectangle are also congruent to each other, meaning they have the same length.

In the given question,

the cross-section is perpendicular to  base, it's parallel to the lateral faces of prism. which  means it will be the same shape as the lateral faces.

The lateral faces of the  rectangular prism are rectangles; which shows this cross-section will be a rectangle

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Answer:

Try 20%

Step-by-step explanation:

I'm not quite sure

The theoretical mean of a distribution is also known as its expected value. The Option D is correct.

The expected value is a measure of the central tendency of a probability distribution, and it represents the average value that would be obtained over an infinite number of repetitions of a random experiment or process.

We should note that mean is often called the "expected value" or the "expectation value". We expect this value because the probability of getting "heads" is 0.5 and if you toss 10 times you should get 5. To formalize this particular example of the mean, if p is the probability and n the number of events, then the mean is a = np.

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Let's solve each question one by one:1. A right triangle has one 40∘ angle and one 90∘ angle. The measure of the third angle is degreesSince the angles of a triangle add up to 180 degrees, the third angle in this triangle is\(:180 - 90 - 40 = 50 degrees.\)

2. Two angles in a triangle are equal and their sum is equal to the third angle in the triangle.

Let x be the measure of each of the equal angles, then the third angle is 2x.

We know that the sum of all the angles is 180 degrees, thus:\(x + x + 2x = 1804x = 180x = 45\)

Therefore, the two equal angles are 45 degrees each, and the third angle is 90 degrees.

3. The triangle has angles of 3 degreesIf the triangle has an angle of 3 degrees, then it is not a triangle since the smallest angle in a triangle is 0 degrees.

4. Find the length of the hypotenuse, cc, for the right triangle with sides, a=3 and b=4

Using the Pythagorean theorem, the length of the hypotenuse is:\(c² = a² + b²c² = 3² + 4²c² = 9 + 16c² = 25c = √25c = 5\)

Using the Pythagorean theorem, the distance from the base of the pole is:\(c² = a² + b²c² = 15² + 8.5²c² = 225 + 72.25c² = 297.25c = √297.25c ≈ 17.24\)

Therefore, the end of the string of lights should be anchored about 17.24 feet away from the base of the pole.

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Answer:

D-29

Step-by-step explanation:

1. you should convert the fractions into improper form

(-10/3 and -87/10)

Then go on google calculator and plug it in, which you get 29

Hope this helps:)

Based on the information, it can be inferred that the information in the table is sufficient to determine that the accident rate does vary in the different months of the year because in some months there are fewer cases than in others.

Based on the information in the graph, it can be established that there is sufficient evidence to reject the statement about the distribution of fatal accidents between each month because there is not a constant occurrence of accidents throughout the year, for example, the month with the lowest accident rate is November with 9 cases and the month with the highest accident rate is August with 23 cases. The other months remain in ranges above 10 cases. Therefore, there is sufficient evidence to contradict the statement of the executive department.

According to the above information, the null hypothesis and the alternative hypothesis would be:

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Answer: 57 apples

Step-by-step explanation:

A dozen = 12

5 dozen = 5 × 12

= 60

Percentage of good apples= 100% - 5%

= 95%

Total of good apples = 95% × 60

= 57

The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

The equation of a line in slope-intercept form is expressed as;

y = mx + b

where;

m is the slope

b is the y-intercept

For two lines to be perpendicular, the product of their slope must be -1

Given the equation 2x - y =7​

Rewrite

y = 2x - 7

The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

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Answer:

y=-2x+7

Step-by-step explanation:

See image

Answer:

no sloution

Step-by-step explanation:

Answer:

y = -7x -4

Step-by-step explanation:

Slope-intercept form: y = mx + b

given:

m = -7

b = -4

answer: y = -7x -4

hope this helps :)

Yes, the acceptance-rejection method can be used to generate random numbers from the standard normal distribution using the standard Laplace distribution.

The acceptance-rejection method is a general technique for generating random numbers from a probability distribution that is difficult to sample directly.

The basic idea is to sample from a simpler distribution that dominates the target distribution and then accept or reject each sample based on its relative probability under the target distribution.

In the case of generating standard normal random numbers, we can use the standard Laplace distribution as the dominating distribution. The standard Laplace distribution has a density function given by:

f(x) = (1/2) * exp(-|x|)

To generate a random number from the standard normal distribution, we follow these steps:

To see why this works, note that the distribution of X is the standard Laplace distribution, and the probability that Y = 1 is 1/2. Thus, the joint density of (X,Y) is:

f(x,y) = (1/2) * f(x) * [1/2 + (1/2)*sign(y)]

where sign(y) is the sign function that equals 1 if y is positive and -1 otherwise.

The acceptance-rejection condition X <= (Y^2)/2 corresponds to accepting samples that lie under the standard normal density, which is proportional to exp(-x^2/2).

The proportionality constant can be absorbed into the normalization constant of the standard Laplace density, which ensures that the acceptance rate is at least 50%.

Overall, the acceptance-rejection method using the standard Laplace distribution is a simple and efficient way to generate standard normal random numbers.

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Using it's concept, it is found that the probability that the coin shows tails and he rolls a 5 is of \(\frac{1}{12}\).

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, the coin has two outcomes, one of which is tails, while the number cube has six outcomes, one of which is five. Since the coin and the number cube are independent, we just multiply the probabilities, hence:

\(p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}\)

The probability that the coin shows tails and he rolls a 5 is of \(\frac{1}{12}\).

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Benefit she gets monthly is = 42.25-12.5= 29.75

annual value to Tamsen of this benefit= 12×29.75 = 357$

============================================================

Explanation:

Focus on the slanted side of the parallelogram, which is 26 units long. The opposite side to this is also 26 units long since opposite sides of any parallelogram are always congruent.

Now turn your attention to the triangle formed by that dashed line. Specifically this is a right triangle. It has a legs of x and 10, where x is the unknown height (also the height of the parallelogram). The hypotenuse of this right triangle is 26 units as mentioned in the previous paragraph.

Use the pythagorean theorem to find x

a^2+b^2 = c^2

10^2+x^2 = 26^2

100+x^2 = 676

x^2 = 676-100

x^2 = 576

x = sqrt(576)

x = 24

This is a 10,24,26 right triangle, which is based on the 5,12,13 right triangle (divide every part by 2)

-------------------

Now that we know the height of the parallelogram, the area is simply base times height

area of parallelogram = base*height = 32*24 = 768

Then we subtract off the area of the shaded gray rectangle, so we subtract off 7*16 = 112 to get 768 - 112 = 656 and this is the area of the unshaded region inside the parallelogram.

-------------------

Side note: The hypotenuse of 10*sqrt(2) you wrote down would only be correct if that dashed height line was 10 units.