What is the equation of the trend line in
the scatter plot?

Use the two yellow points to write the
equation in slope-intercept form. Write
any coefficients as integers, proper
fractions, or improper fractions in
simplest form.

Answer: 112

Step-by-step explanation:

To find the discriminant of a quadratic equation in the form of y = ax^2 + bx + c, where a, b, and c are constants, we can use the formula:

Discriminant = b^2 - 4ac

In this case, the quadratic equation is y = -x^2 - 6x + 19. So, we can identify the coefficients:

a = -1

b = -6

c = 19

Then, we can substitute these values into the formula for the discriminant:

Discriminant = b^2 - 4ac

= (-6)^2 - 4(-1)(19)

= 36 + 76

= 112

Therefore, the discriminant of the quadratic equation y = -x^2 - 6x + 19 is 112.

(C.) reflection and (D.) rotation produce congruent images.

What three transformations are congruent?

We can generate congruent shapes by combining the three types of transformations: rotations, reflections, and translations. Actually, using a combination of one or more of these three transformations, any pairs of congruent shapes can be matched to one another.

(A) Dilation, (B) horizontal stretch, and (E) translation do not produce congruent images because they change the size, shape, and/or orientation of the original object.

(C) Reflection produces congruent images because the resulting image is a mirror image of the original object, and therefore has the same size and shape.

(D) Rotation produces congruent images because the resulting image is the same shape and size as the original object, just rotated to a different orientation.

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Answer:

Step-by-step explanation:

To find P * 1, we need to find all pairs of elements in P that have a difference of 1. Let's start by listing the elements of P:

P = {(1, 2), (2, 5), (3, 8), (4, 11)}

Now, we can find all pairs of elements in P that have a difference of 1:

(1, 2), (2, 5) -> (1, 5)

(2, 5), (3, 8) -> (1, 3)

(3, 8), (4, 11) -> (1, 3)

Therefore, P * 1 = {(1, 5), (1, 3), (1, 3)} = {(1, 5), (1, 3)} (since the last pair is a duplicate).

(b) The given relation is: y = 4x

The elements of this relation are all pairs (x, y) such that y = 4x. For example, (1, 4), (2, 8), (3, 12), etc.

(c) The given relation is: x + y ≥ 20

The elements of this relation are all pairs (x, y) such that x + y is greater than or equal to 20. For example, (1, 19), (2, 18), (3, 17), etc.

(d) The given relation is: y = x

The elements of this relation are all pairs (x, y) such that y = x. For example, (1, 1), (2, 2), (3, 3), etc.

Answer: Time sampling

Step-by-step explanation:

It would be time sampling to see how long his tantrums are lasting and by keeping samples it should show you how long most tantrums will last.

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Answer:

Step-by-step explanation:

Women row is 24 20 44

men row is 64 32 96

total row is 64 32 96

Answer:

64 degrees

Step-by-step explanation:

Corresponding angles are equal so angle BAF = 133 degrees. Supplementary angles add to 180 degrees so angle AFC = 47 degrees.

Angles on a straight line add to 180 degrees so angle CFE = 180 - 47 = 133 degrees.

Angles in a quadrilateral add to 360 degrees so angle EDC = 360 - (133 + 101 + 62) = 64 degrees.

Therefore angle EDC = 64 degrees

The Surface Area of wooden box is 432 inch².

We have,

length = 12 inch

width = 8 inch

Height = 6 inch

So, Surface Area of wooden box

= 2 (lw + wh + lh)

= 2 (96 + 48 + 72)

= 2 x 216

= 432 inch²

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Answer: The null hypothesis for this scenario is that the proportion of readers who own a personal computer is 0.51 or less:

H0: p <= 0.51

The alternative hypothesis is that the proportion of readers who own a personal computer is greater than 0.51:

Ha: p > 0.51

To test this hypothesis, we would need to collect a random sample of readers and determine the proportion of readers who own a personal computer in the sample. We could then use a one-sample proportion test to determine whether the proportion in the sample is significantly different from the null hypothesis value of 0.51. If the p-value is less than 0.05, we would reject the null hypothesis and conclude that there is sufficient evidence to substantiate the publisher's claim that more than 51% of their readers own a personal computer. If the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is not sufficient evidence to substantiate the publisher's claim.

Step-by-step explanation:

The probability of exactly three successes in five trials of a binomial experiment with a 90% probability of success is 0.0729 or about 7.29%.

To find the probability of exactly three successes in five trials of a binomial experiment with a 90% probability of success, we can use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

Plugging in the values, we get:

P(X = 3) = (5 choose 3) * (0.9)^3 * (1 - 0.9)^(5 - 3)

= 10 * (0.9)^3 * (0.1)^2

= 0.0729

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Answer:

Step-by-step explanation:

The answer is attached below. There isn't much explanation for this. You just translate the word problem into a mathematical inequality.

The amount of space in a gift box for earrings would typically be measured in cubic inches (C).

how to solve the question?

Cubic inches is a unit of volume that is commonly used to measure the capacity of small, enclosed spaces like boxes, containers, and packaging. It is defined as the volume of a cube that measures one inch on each side.

For a gift box designed to hold earrings, the volume of the box would need to be sufficient to accommodate the size of the earrings and any additional padding or decorative elements. Since earrings are small, the gift box would likely have a small volume, measured in cubic inches.

Other units of measurement, like square meters or yards, are used to measure the area of two-dimensional surfaces like floors, walls, or yards. Square centimeters are also a unit of area measurement, but they are much smaller than square meters or yards, and may be used to measure the surface area of small objects.

Cubic feet is a larger unit of volume measurement that may be used for larger boxes or containers, like shipping crates or storage bins. However, for a gift box designed specifically for earrings, cubic inches is likely the most appropriate unit of measurement.

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Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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substitute 140 for 'y', because 'y' is the amount of available cabinets (they need to be available in order for it to be installed).

you have;

140 = 8x + 40

solve for x from here

Answer:

Step-by-step explanation:

To find out how many weeks it will take to fill the high school's order, we need to solve the equation for the number of weeks (x). We can start by plugging in the given value of 104 for y since y represents the number of cabinets, and then solving for x:

y = 8x + 40

104 = 8x + 40

-40           -40

64 = 8x

x = 8

Therefore, it will take 8 weeks to produce enough cabinets to fill the high school's order.

Answer:

2.25 feet, 45 inches, and 6 yards

Step-by-step explanation:

first, convert all to the same unit of measurement

I will use inches

45 inches = 45 inches

6 yards, 1 yard = 3 feet so 6 yards are equal to 18 feet and 1 foot is equal to 12 inches so 12*18 is 216 inches so 6 yards = 216 inches

Next 1 foot equals 12 inches so 2.25 * 12 = 27 so 2.25 feet = 27 inches.

Now let's look at the complete conversion

45 inches

6 yards = 216 inches

2.25 feet = 27 inches

looking at the inches we can see that 27 is the least then 45 then 216 therefore

2.25 feet < 45 inches <  6 yards so the order is

2.25 feet, 45 inches, and 6 yards

Answer: in2

Step-by-step explanation:

answerd

The solutions for the given equation be written as: x = (2n + 1)π/10, where n is any integer.

An equation is a mathematical statement that shows that two expressions are equal. It usually contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, or exponentiation.

Starting from the given equation:

-4cos(5x) + 1 = 1

Simplifying the equation, we get:

-4cos(5x) = 0

Dividing both sides by -4, we get:

cos(5x) = 0

Now, we need to find the values of x that satisfy this equation. Recall that the cosine function is equal to 0 at odd multiples of π/2, i.e.,

cos(θ) = 0 for θ = (2n + 1)π/2, where n is an integer.

So, substituting θ = 5x, we get:

cos(5x) = 0 for 5x = (2n + 1)π/2

Dividing both sides by 5, we get:

x = (2n + 1)π/10

So, the solutions for the given equation are:

x = π/10, 3π/10, 5π/10, 7π/10, 9π/10, 11π/10, 13π/10, 15π/10, 17π/10, ...

which can be written as:

x = (2n + 1)π/10, where n is any integer.

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Answer:

The median is 11.

Step-by-step explanation:

To find the median, you need to put all of the numbers in order.

In this case it would go:

2, 5, 8, 10, 10, 12, 14, 17, 20, 22

Now you find the middle number. Since there is an even amount of numbers, the median will fall between two different numbers. These numbers are 10 and 12. The median will be the number in between these two, which is 11. Therefore, the median is 11.

IM SO SORRY IF THIS DID NOT MAKE SENSE!

Rounding to the nearest degree, we get x = 53 degrees.

We can use the inverse sine function (sin⁻¹) to find the value of x.

From the sine rule,

sin(x) = opposite/hypotenuse

[tex]sin(x) = 7/9\\x = sin^{-1}(7/9)[/tex]

Using a calculator, we find that x is approximately 53.13 degrees. Rounding to the nearest degree, we get x = 53 degrees.

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Answer: I think it might be A.

Step-by-step explanation:

Answer:

2(3h^2+2)

Step-by-step explanation:

The probability of exactly 2 defective bulbs in a sample of 3 bulbs chosen with replacement from the bin is 0.288 or approximately 28.8%.

To solve this problem, we can use the binomial probability distribution formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where P(X=k) is the probability of getting exactly k successes, n is the total number of trials, p is the probability of success in each trial, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

In this case, n = 3 (because we are choosing 3 bulbs), p = 4/10 = 0.4 (because the probability of choosing a defective bulb is 4 out of 10), and we want to find P(X=2) (the probability of getting exactly 2 defective bulbs).

Substituting these values into the formula gives:\

P(X=2) = (3 choose 2) * 0.4^2 * (1-0.4)^(3-2)

= 3 * 0.16 * 0.6

= 0.288

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If the noon class has a symmetric distribution, the median would be 15.

From the given table,

a) Evening class has the highest average age, that is 22 years.

b) Morning class has age that are the most spread out, that is 2.4.

c) If the noon class has a symmetric distribution, the median would be 15 (which is equal to the mean).

Therefore, if the noon class has a symmetric distribution, the median would be 15.

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Answer:

12000 In 12 days

Step-by-step explanation:

12÷4=3

4000×3=12000

Answer:

The analysis is given below :

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A statement that could be expressed as a percent : 'how many of the 100 yogurts in the refrigerator are strawberry'

The correct answer is an option(A)

We know that a part-to-whole ratio is nothing but a ratio that compares a part of a whole to another part of a whole.

And the percent is nothing but a part-to-whole ratio where the whole is 100.

Consider the case 'how many of the 100 yogurts in the refrigerator are strawberry.'

Let us assume that x represents the number of strawberry yogurts out of total 100 yogurts in the refrigerator'

So, a part-to-whole ratio would be x/100

We can observ ethat here whole = 100

So, we could express the number of strawberry yogurts as a percent.

The correct answer is an option(A)

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Answer:

The maximum number of data points that may not actually be on the line of best fit for 16 data points is 15 (Option A). This is because a line of best fit is an approximation of the relationship between the variables being studied, and it is unlikely that all data points will fall exactly on the line.

Step-by-step explanation:

To determine the line of best fit, a regression analysis can be performed. This involves finding the equation of the line that best represents the relationship between the variables. The line of best fit minimizes the distance between each data point and the line.

However, even with a perfect line of best fit, there may still be some data points that do not fall exactly on the line. This is due to natural variability in the data and measurement error.

Therefore, it is possible for all 16 data points to fall on the line of best fit, but it is more likely that some points will deviate slightly from the line. The maximum number of data points that may not actually be on the line is 15.

Rodger's weekly unemployment amount will be $ 705.0225

Given that the total of the quarterly wages of two consecutive quarters and divided by 26.

The weekly unemployment is 65% of that amount.

Rodger made a total of $13,950.80.

Then he made a total of $14,250.10

Step 1:  the total of the quarterly wages of two consecutive quarters.

= $ 13,950.80 + $ 14,250.10

= $28,200.90

Now Divide the total  by 26

 = $28,200.90 / 26

 =  1,084.65

Then,  =   1,084.65 x 65%

 =  1,084.65 x 65/100

=   705.0225

Hence, Rodger's weekly unemployment amount is; $ 705.0225

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On solving the provided question we can say that equation  As a result, the expedition can go 476 kilometres before running out of fuel.

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 equals 2, for instance.

To calculate how far the expedition can travel before running out of gas, apply the following formula:

Miles = (Gallons of gas) x (Miles per gallon)

Plugging in the given values, we get:

Miles = 28 gallons x 17 mpg

Miles = 476 miles

As a result, the expedition can go 476 kilometres before running out of fuel.

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Answer: y - 2 = 2(x - -3)

The slope is 2 is you find the intercept.

Step-by-step explanation:

:)