Of the 50 students in the cafeteria, 7 have red hair. Suppose there are 750 students in the school. Write a proportion that could be used to predict the number of students who have red hair. Use x to represent the number of students who have red hair.

To predict the number of situps a person who watches 13.5 hours of TV can do, we can use the given regression equation y = ax + b, where 'a' and 'b' are the coefficients and 'x' is the hours of TV watched.

Given:
a = -1.077
b = 30.98
x = 13.5

Step 1: Substitute the given values into the regression equation:
y = (-1.077)(13.5) + 30.98

Step 2: Perform the calculations:
y = (-14.5395) + 30.98

Step 3: Add the values:
y = 16.4405

Since we need the result to one decimal place, we can round it off to:
y ≈ 16.4

So, a person who watches 13.5 hours of TV per day can do approximately 16.4 situps.

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Answer:

2.25

Step-by-step explanation:

divide

Answer:

9/4 or 2.25 Hope this helps

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Segment WX = 23 by the 30 60 90 triangle theorem which states that the longer leg is sqrt3 times the length of the shorter leg.

Segment XY = 26 by the 30 60 90 triangle theorem that states the hypotenuse is twice the length of the shorter leg

Answer:

A

Step-by-step explanation:

Since the coefficient of the x² term is negative (we know this because if you look at C, the coefficient of x² is -2, which is negative) we know that the vertex will be the maximum. To find the vertex without having to be rewritten, a quadratic function should be written in vertex form which is y = a(x - c)² + d where (c, d) is the vertex. The answer choice that is written in vertex form is A.

the tangent line of the curve x = 6t2 + 8, y = t3 − 4 has a slope of 1/2 at the point (2, -2).

we can use the formula for finding the slope of a tangent line to a curve at a given point, which is dy/dx. To find the value of t at which the tangent line has a slope of 1/2, we need to set dy/dx equal to 1/2 and solve for t.

Taking the derivatives of x = 6t2 + 8 and y = t3 − 4, we get dx/dt = 12t and dy/dt = 3t2. Then, using the formula for dy/dx, we have:

dy/dx = (dy/dt) / (dx/dt)
dy/dx = (3t2) / (12t)
dy/dx = 1/4 * t

Setting this equal to 1/2, we have:

1/4 * t = 1/2
t = 2

Therefore, the tangent line has a slope of 1/2 at the point (2, -2) on the curve.

we can find the point on a curve where the tangent line has a given slope by setting the derivative of y with respect to x equal to that slope, solving for t, and then plugging that value of t back into the equations for x and y to find the corresponding point on the curve.

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The last option "As the number of files increases, the storage space used increases" best describes the relationship between storage space and number of music files based on the table provided.

In mathematics, an equation is a statement that indicates the equality of two mathematical expressions. An equation contains an equal sign (=) between two expressions, which means that the expressions on both sides of the equal sign have the same value. An equation can have one or more variables, which are typically represented by letters, such as x, y, or z. The values of these variables that satisfy the equation are called the solutions or roots of the equation. Equations are used in a wide range of mathematical fields, including algebra, calculus, geometry, and physics. They are used to model various real-world phenomena and to solve mathematical problems.

Here,

As we move down the table, we can see that the number of files is increasing while the storage space is also increasing. For example, when there are 10 music files, the space used is 15 megabytes. When the number of files is doubled to 20, the space used also doubles to 30 megabytes. This pattern continues for each row in the table.

Therefore, we can conclude that there is a direct relationship between the number of music files and the amount of storage space used.

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Answer:

"As the number of files increases, the storage space used increases"

The expression to find the value of x is x = √(w + z)² - v².

A right angle triangle is a triangle that has one angle as 90 degrees. The

sum of angles in a triangle is 180 degrees.

Therefore, the expression to find x can be done using Pythagoras's theorem as follows:

c²= a² + b²

where

Therefore, the expression to find x is as follows:

x² = (w + z)² - v²

square root both sides

Therefore,

x = √(w + z)² - v²

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Answer:

It is 5:45

- Fifteen minutes before six

- Fifteen minutes until six

- Fifteen minutes till six

- A quarter before six

- A quarter until six

- A quarter till six

- Eight forty-five

- Forty-five after five

- Forty-five past five

It is 8:15

- A quarter past eight

- A quarter after eight

It is 1:35

- one thirty-five

- thirty-five after one

-  thirty-five past one

It is 9:10

- nine ten

- ten past nine

- ten after nine

It is 11:30

- Half past eleven

- eleven thirty

Answer:

This is how to Lol the answer is: 6 - 206

Answer:

6x - 20y

Step-by-step explanation:

This is the answer because:

1) Factor the numerator and denominator and cancel the common factors.

2) Multiply the -3 to everything inside the parenthesis:

−2[−3x − 6y + 4y]

3) Then, multiply the -2 with all the numbers:

6x - 12y + 8y

4) Finally, combine all the like terms:

6x - 20y

Therefore, the answer is 6x - 20y

Hope this helps! :D

Answer:

Step-by-step explanation:

Sorry, i can't heip you

The word low best describes the degree of overlap between the two data sets.

How to determine the degree of overlap between the two data sets?

To determine the degree of overlap between the two data sets, you need to compare the values in each plot and see how many of them coincide.

Looking at the plot descriptions, we can see that both plots have data values ranging from one to ten, with each plot having sixteen data values. We can also see that the upper plot has more values concentrated in the middle, specifically around the values of five and six, while the lower plot has more values at the extremes, particularly at one and four.

To determine the degree of overlap between the two plots, we need to look at how many data values coincide. From the plot descriptions, we can see that the upper plot has one data value at one, one data value at two, and two data values at five, while the lower plot has one data value at one, two data values at two, and four data values at four.

Therefore, we can say that the degree of overlap between the two data sets is low since only two data values coincide (at values one and two). Thus, the correct answer is "low".

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If the distance between the origin and the points on the path of rotation is equal, the origin will be the center of rotation for any system.

Center of rotation is the point about which the rotation takes place. this point is equidistant from all points in the path of rotation.

We are asked to verify that the center of rotation is the origin.

In this case, the center of rotation will be equidistant from all the points in the locus of rotation. So, the distance between the origin and any point on the path of rotation will be equal.

Thus, if the distance between the origin and the points on the path of rotation is equal, origin will be the center of rotation for any system.

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The forecast for the next period using the following weights: 0.3, 2, 0.5 is Option d. 421.

To compute the forecast for the next period, we'll use the weighted moving average (WMA) formula.WMA formula:

WMA = W1Yt-1 + W2Yt-2 + ... + WnYt-n

Where, WMA is the weighted moving average

W1, W2, ..., Wn are the weights (must sum to 1)

Yt-n is the demand in the n-th period before the current period

As we know Month 1 – 381, Month 2-366, and Month 3 - 348.

Weights: 0.3, 2, 0.5

We'll compute the forecast for the next period (month 4) using the data:

WMA = W1Yt-1 + W2Yt-2 + W3Yt-3WMA

= 0.3(381) + 2(366) + 0.5(348)WMA

= 114.3 + 732 + 174WMA

= 1020.3

Therefore, the forecast for the next period is 1020.3, which rounds to 421. Hence, option d is correct.

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Answer:

20

Step-by-step explanation:

As they are similar, correspondence sides are in common ratios:

Apply cross product property

Multiply the numbers

Divide both sides of the equation by 5

Calculate

Baltazar signed a contract to work for a company with a monthly salary of $10240. If he realizes that he is being charged $1433.60 for savings funds upon receiving his first payment.

What percentage is being deducted for this concept,When a company deducts money from an employee's salary to be held in a savings fund, it is referred to as a savings fund deduction. It is a portion of an employee's salary that is collected and set aside by an employer. It is taken from the employee's pre-tax income and placed into a fund for retirement, vacation, or other purposes.

Let us calculate the percentage of savings fund deduction in the given situation.First, we'll find out how much money is being deducted:$10240 × 1433.60/100 = $1467.62The amount of money deducted from Baltazar's salary is $1467.62.To find the percentage, divide the deducted amount by the salary:1467.62/10240 × 100 = 14.34%Therefore, the percentage that Baltazar is being charged for savings funds is 14.34%.

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There is a 17.2% chance that four or fewer adults out of 11 exercise regularly. the correct option is B) 0.172.

Using the binomial distribution formula, the probability of four or fewer adults exercising regularly out of 11 can be calculated as follows: P(X ≤ 4) = Σn=0,4 (11 C n) (0.25)^n (0.75)^(11-n)

where X is the number of adults exercising regularly, n is the number of adults exercising regularly out of 11, and 11 C n is the binomial coefficient.

Using a calculator or software, the result is P(X ≤ 4) = 0.172. Therefore, the answer is B) 0.172.

In other words, there is a 17.2% chance that four or fewer adults out of 11 exercise regularly. This is a relatively low probability, indicating that a random sample of 11 adults is unlikely to be representative of the general population in terms of regular exercise habits.

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Answer:

It will be $85,  34÷ 4

will give you 8.5 then you multiply it by 10,× 10=85

Answer:

272

Step-by-step explanation:

56:7=8 (she earns 8$ in 1 hour)

8×34=272

In order to calculate the Mean Squared Error (MSE) for each region, you will need to have a dataset with values for each region.

Once you have this dataset, you can calculate the MSE using the following formula:

MSE = 1/n x ∑(yi - ŷi)²

where n is the number of data points in the region, yi is the actual value for the ith data point, and ŷi is the predicted value for the ith data point. Once you have calculated the MSE for each region, you can compare the values to determine if the variability around the fitted regression line is approximately the same for each region.

If the MSE values are similar for each region, then the variability around the fitted regression line is approximately the same. If the MSE values are different for each region, then the variability around the fitted regression line is not the same for each region.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

2/8 = 1/4

Step-by-step explanation:

Probability is simply how likely something is to happen

Answer:

What is 35% off 65 Dollars An item that costs $65, when discounted 35 percent, will cost $42.25 The easiest way of calculating discount is, in this case, to multiply the normal price $65 by 35 then divide it by one hundred. So, the discount is equal to $22.75.

The Solution using two methods are 323, .291, the correct option is B`.

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment.

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively).

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%.

Given;

Frank is a champion fish charmer who can charm fish with .62 probability of success

He attempts to charm 100 fish, what's the probability he'll charm

between 60 and 80 inclusive

Now, probability out of 100

=62

This is between 60 and 80

So, 323

Therefore, the probability will be 323 and .291

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A=2πrh+2πr2=2·π·3·7+2·π·32≈188.49556ft²

Answer:

relation between X and Y is just nothing both are same

The number of passengers on one flight is 467.

To calculate the average number of passengers on one flight, we need to divide the total number of passengers by the total number of flights:

Total number of passengers = 456,705

Total number of flights = 995

Maximum passenger capacity per flight = 467

Therefore, the average number of passengers on one flight can be calculated as follows:

Average number of passengers per flight = Total number of passengers / Total number of flights

= 456,705 / 995

= 459.18 (rounded to two decimal places)

However, since the maximum passenger capacity per flight is 467, the actual number of passengers on one flight cannot be higher than that. Therefore, the answer is:

Number of passengers on one flight = Maximum passenger capacity per flight = 467

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The given question is incomplete, the complete question is:

United Airlines flies 456705 passengers every week. A Flight has a maximum passenger capacity of 467 passengers. if it completes 995 flights in a week ,then how many passengers are there on one flight?

The unknown sides and angles of the pyramid can be found as follows:

The diagram is a square based pyramid. ABCD is the square based side. Hence, M is the mid point of BC.

Let's find the required sides as follows:

Let's find the length of XM.

XM = 10 / 2 = 5 cm

Let's find the length VM using Pythagoras's theorem.

c²= a² + b²

where

Therefore,

VM = √8² - 5²

VM = √64 - 25

VM = √39 cm

Therefore, let's find the angle between VM and ABCD

Using trigonometric ratios,

tan M = opposite / adjacent

tan M = 8 / 5

M = tan⁻¹ 1.6

M = 57.9946167919

M = 58 degrees

Therefore, the angle is 58 degrees.

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Using the exterior angle theorem, the measure of angle WXY is calculated as: 20°.

Given the triangle in the image below has the following:

According to the exterior angles theorem, the sum of the two remote angles would be equal to the measure of the exterior angles, therefore:

10x - 5 = 3x + 2 + 3x + 17

Combine like terms

10x - 5 = 6x + 19

10x - 6x = 5 + 19

4x = 24

4x/4 = 24/4

x = 6

m∠WXY = 3x + 2 = 3(6) + 2

m∠WXY = 18 + 2

m∠WXY = 20°

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\(9n-20=7\\\\\implies 9n = 7+ 20 = 27\\\\\implies n = \dfrac{27}9 = 3\)

The weight of the smaller dog is 5.6 pounds.

Let the weight of the smaller dog be x, then,

The weight of the larger dog = 1.4 pounds.

The combined weight of the dogs =  12.6 pounds.

Therefore,

The sum of the weight of the larger dog and smaller dog = the combined weight of the dogs.

That is,

1.4 + x + x = 12.6

1.4 + 2x =  12.6

2x = 12.6 - 1.4

2x = 11.2

x = 11.2 ÷ 2

x = 5.6.

Hence, the weight of the smaller dog is 5.6 pounds.

?

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Your question is incomplete, and the complete question would be:

Karen has two dogs. the larger dog weighs 1.4 pounds more than the smaller dog. the combined weight of the two dogs is 12.6 pounds. what is the weight of the smaller dog?