The endpoints of PQ are P(-3, 1) and Q(4, 25) Find the midpoint of PQ
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The Q3 means the third quartile which is 16

The value of cos A in the triangle is 1 / 9.

The triangle is given as ABC. The side lengths are a, b and c. Therefore, cos A of the triangle can be found using cosine rule as follows:

a² = b² + c² - 2bc cos A

a = 4

b = 3

c = 3

Therefore,

4² = 3² + 3² - 2(3)(3) cos A

16  = 9 + 9 - 18 cos A

16 - 18 = - 18 cos A

-2 = - 18 cos A

divide both sides by - 18

cos A = - 2 / - 18

cos A = 1 / 9

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Answer:

Step-by-step explanation:

for vertex

x-2=0 gives x=2

when x=2,y=4

vertex (2,4)

axis of symetry

x-2=0

According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013 was 2.24, with a standard deviation of 1. A sample of 85 households is drawn.

In statistics, a sample is a subset of a population that is selected for analysis. The purpose of sampling is to make inferences about the population based on the information collected from the sample. In this case, a sample of 85 households is drawn to gather data on the number of TV sets in U.S. households.

The mean number of TV sets in the sample can be used as an estimate of the population mean. Since the sample is randomly drawn, it is expected to be representative of the population. The sample mean provides an estimate of the true population mean, which is 2.24 according to the Nielsen Company.

The standard deviation of 1 indicates the variability in the number of TV sets among the U.S. households. A larger standard deviation implies a greater dispersion of data points around the mean.

By analyzing the sample, researchers can make statistical inferences about the entire population of U.S. households in terms of the number of TV sets. This information can be useful for various purposes, such as market research, advertising strategies, and understanding consumer behavior.

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(a) Therefore, the range of possible values for "x" is 1 to 5. (b) Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.  Therefore, there are 31 different ways this can happen

To find the number of different ways this can happen, we can consider the number of internet friends each person can have. Since each person has the same number of internet friends, let's denote that number as "x". We can then create equations based on the given information:

1. Some, but not all, of them are internet friends with each other: This means that at least two people are internet friends with each other, but not everyone is friends with each other. This implies that the minimum number of internet friends any person can have is 1, and the maximum number is 5 (since there are 6 people in total).

Therefore, the range of possible values for "x" is 1 to 5.

2. None of them has an internet friend outside this group: This means that each person's internet friends must be within this group of 6 people. So, the number of internet friends each person can have is limited to the remaining 5 people.

To find the number of different ways this can happen, we need to sum up the possible values of "x" and calculate the corresponding combinations. For "x = 1", we choose 1 person out of 5 remaining people, giving us C(5, 1) = 5. For "x = 2", we choose 2 people out of 5 remaining people, giving us C(5, 2) = 10.

Similarly, for "x = 3", "x = 4", and "x = 5", we have C(5, 3) = 10, C(5, 4) = 5, and C(5, 5) = 1 respectively. Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.

Therefore, there are 31 different ways this can happen

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The number of corners that Jim needs to check in order to be sure that the opposite sides are parallel is; Two Corners

We know that a quadrilateral is defined as a closed shape and a type of polygon that has four sides, four vertices and four angles.

Now, to ensure that the lines should be parallel what we must do to check whether the corner angles should be 90 degrees is due to the fact that if the angle is not equal to 90 degrees then the sides cannot be parallel.

Seeing that we must check to be sure that opposite sides are parallel, then we must check two opposite corners.

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Answer: b town b has 150 more residents per square mile than town A

Step-by-step explanation:

Answer:

Town B has 150 more residents per square mile than town A.

Step-by-step explanation:

I got it right on edge 2021 :) I hope its right and that you have an amazing day you amazing person :DD

(1, -3)

1) Solving that system by the Substitution Method, we can write out:

I) x= 1

II) y= x-4

2) Plugging into the 2nd one the first equation:

y = x-4

y = 1 -4

y =-3

Since we already know the quantity of x, we can write out S={(1, -3)}

A straight line PPF indicates constant opportunity costs in production is TRUE.

The Production-Possibility Frontier (PPF) is a graphical representation of the maximum amount of two goods that can be produced given a certain number of resources.

If the PPF is a straight line, then the opportunity cost of producing an additional unit of one good is the same regardless of how much of that good is already being produced. This means that the resources used to produce the two goods are perfectly substitutable and there are no increasing opportunity costs.

However, if the PPF is a curved line, then the opportunity cost of producing an additional unit of one good increase as more of that good is produced. This is because the resources used to produce the two goods are not perfectly substitutable and there are increasing opportunity costs.

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The standard deviation for a total of 200 games is 5.3735.

How to calculate the standard deviation?

Let X = number of home runs of this player in 200 games played by him.

p = probability that a this player hits a home run in a single game and this is given to be 0.175.

Where np = Mean of X and √{np(1 - p)} is the standard deviation of X.

Here n = 200 and p = 0.175. So, the standard deviation for a total of 200 games is the standard deviation for a total of X

= √(200 x 0.175 x 0.825) / 2

= 5.3735

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Answer:

X= 200 * 18 /120 = 30

Step-by-step explanation:

Please Brainlist

Step-by-step explanation:

refer the above attachment

thankyou

Answer:

4⋅(3y−1)

Step-by-step explanation:

Step-by-step explanation:

How do you find the speed of a falling object?

Calculate the final free fall speed (just before hitting the ground) with the formula v = g*t = 9.80665 * 8 = 78.45 m/s. Find the distance traveled by the falling object, using the equation s = 0.5 * g * t^2 = 0.5 * 9.80665 * 8^2 = 313.8 m.

Answer:

4.5

Step-by-step explanation:

4.5 x 2 = 9

very simple

Answer:

8.8 or 9 laps

Step-by-step explanation:

2 miles = 3520 yards

3520 / 400 = 8.8

But if you round it up, it's 9.

Hope that helps

Tyler needs to run 9 full laps to cover at least 2 miles.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity

Given that a track is 400 yards around.

We have to find the number of full laps does tyler need to run if he wants to run at least 2 miles

Lets convert mile to yards

One mile is equal to 1760 yards

Now two miles is equal to 2×1760 yards

2 miles = 3520 yards

Since the track is 400 yards around

Tyler needs to run 3520/400

= 8.8 laps to cover 2 miles.

Therefore, Tyler needs to run 9 full laps to cover at least 2 miles.

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Answer:

1. 80

2. 18.9

3. 7

4. 146

5. 2

6. 4

Step-by-step explanation:

1. 6+4=10

10×8=80

2. 3.6×4.5= 16.2

16.2+2.7= 18.9

3. 3+2=5

5×2= 10

17-10=7

4. 4×3=12^2

12×12=144

144+2= 146

5. 3+2=5

5×6=30

30÷15=2

6. 5×2= 10

40÷10=4

To determine how long it will take the Baxter boys to prepare 131 papers, we can use the concept of rate and proportion.

It will take approximately 11 minutes and 14 seconds (to the nearest minute) for the Baxter boys to prepare 131 papers. Given that the Baxter boys can prepare 35 papers in 3 minutes, we can set up a proportion to solve for the time it will take to prepare 131 papers.
First, let's set up the proportion using the information given about the rate of working:
35 papers / 3 minutes = 131 papers / x minutes
To solve for x, we can cross-multiply and then divide:
35 * x = 3 * 131
35x = 393
x = 393 / 35
x ≈ 11.229
Therefore, it will take approximately 11 minutes and 14 seconds (to the nearest minute) for the Baxter boys to prepare 131 papers.

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The solution set can be written in parametric vector form as: \(X = x3 [-1 0 1]^T + x2 [-2 1 0]^T\)

We can rewrite the system of equations in matrix form as AX = 0, where \(A =[2 2 4]\\[-4 -4 -8]\\[0 -3 -9]\)

\(X = [x1 x2 x3]^T\)

To solve for the solution set, we can row reduce the augmented matrix \([A|0].\\[2 2 4|0]\\[-4 -4 -8|0]\\[0 -3 -9|0]\)

\([2 2 4|0]\\[0 0 0|0]\\[0 -3 -9|0]\)

\([2 2 4|0]\\[0 0 0|0]\\[0 1 3|0]\)

\([2 2 4|0]\\[0 0 0|0]\\[0 1 3|0]\)

\([1 1 2|0]\\[0 0 0|0]\\[0 1 3|0]\)

Therefore, the system has two free variables, x2 and x3, while x1 is a pivot variable. where x2 and x3 are arbitrary constants.

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The statement 'Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year' is not an example of descriptive statistics.

Descriptive statistics is a branch of statistics that are used to characterize the features of a sample by using quantitative techniques.  

Descriptive statistics can help to provide simple descriptions of the observations by using measures of Central Tendency like mean, variance, median, charts, etc...  

Data with one variable are described using univariate descriptive statistics. On the other hand, data with several variables are described using bivariate and multivariate descriptive statistics.  

The two categories of descriptive statistics are Measures of central tendency and measures of dispersion, which are used to summarize the characteristics of grouped and ungrouped data.  

Measures of central tendency are Mean, Median, and Mode, where Measures of Dispersion are Range, Variance, Standard Deviation, Mean Deviation, etc.

Here we have

Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year.

The above statement is a prediction according to previous data but it will not represent any sample data or any other data.  

Therefore,

The statement 'Based on her electric bills from last year, Mrs. smith expects she will be paying $75/month this year' is not an example of descriptive statistics.

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Answer:

y = -18

Step-by-step explanation:

Given that,

y+29 =11

We need to find the value of y.

Subtract 29 to both sides of the above equation.

y+29-29 =11-29

y = -18

So, the value of y is equal to -18.

To find the value of the daily salary (X) such that 25% of the daily salaries are greater than X, we need to find the corresponding z-score using the standard normal distribution.

First, we convert the given percentage to a z-score. Since we want the upper 25% (greater than X), the corresponding z-score is the value that leaves 25% in the lower tail. Using a standard normal distribution table or a calculator, the z-score corresponding to 25% is approximately 0.674.

Next, we use the formula for z-score conversion: z = (X - μ) / σ, where μ is the mean and σ is the standard deviation. Plugging in the given values, we have 0.674 = (X - 70) / 10.

Solving for X, we get X = 0.674 * 10 + 70 = 6.74 + 70 = 76.74.

Rounding to one decimal place, the value of the daily salary X is approximately 76.7 JD. Therefore, option 3, 76.7 JD, is the correct answer.

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Answer:

Your answer is $11 per t-shirt.

Step-by-step explanation:

220 divided by 4 is 55.

55 divided by 5 is 11, so each t-shirt costs $11.

Answer:

$11

Step-by-step explanation:

Since there is altogether it is $220, there all of 4 packs (contains 5 t-shirts in each pack). So I did $11*5 to get 55 for one pack of shirts. So, do 55 times the 4 packs to get $220 total. Each shirt is $11.

Answer:

4

Step-by-step explanation:

24÷(-4)+(-2)·(-5)

-6+(-2)·(-5)

-6+10

4

Let m be a fixed number in n. Then the function f(x) = xm is defined on all of r. To show that f(x) is continuous on r, we need to show that it is continuous at every point a in r.

Consider a fixed point a in r, and let ε > 0 be given. We want to find a δ > 0 such that if |x - a| < δ, then |f(x) - f(a)| < ε.

Since f(x) = xm, we have

f(x) - f(a)| = |xm - ma| = |m||x-a||x^(m-1) + am^(m-1)|.

Now, since m^(m-1) is a constant, we have that |x-a| < δ implies

|m||x-a||x^(m-1) + am^(m-1)| ≤ |m|(|x-a|)δ^(m-1) + |am^(m-1)|.

Therefore, if we choose δ such that

δ < ε / (|m|(δ^(m-1)) + |am^(m-1)|),

then we have

|f(x) - f(a)| < ε,

and hence f(x) is continuous at a. Since a was arbitrary, we conclude that f(x) is continuous on r.

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Yes, that's correct! The deposit initially increases the bank's reserves.

Yes, that's correct! The deposit initially increases the bank's reserves and checkable deposits by $500 each. This can be illustrated on the bank's T-account as follows:

Before deposit:

Assets: Reserves = $0

Liabilities: Checkable deposits = $0

After deposit:

Assets: Reserves = $500

Liabilities: Checkable deposits = $500

Then, the bank can use the additional reserves to make loans or purchase other assets, which can ultimately increase the money supply in the economy.

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Yes, that is correct. When Tracy Williams deposits $500 in cash, the bank's T-account changes.

When Tracy Williams deposits $500 into her checking account, the T-account of the local bank changes as follows:

Assets:

Liabilities:

None change

This is because the $500 deposit is a liability of the bank to Tracy Williams, who can withdraw it at any time. In order to maintain enough reserves to meet potential withdrawals, the bank must also increase its reserves by the same amount. Therefore, both the checkable deposits and reserves increase by $500.

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To solve;

z/4=12

Multiply both-side of the equation by 4

That is;

At the left-hand side of the equation 4 will cancel-out 4 leaving us with just z

z = 48