The following data represent weights (pounds) of a random sample of professional football players on the following teams. X1 = weights of players for the Dallas Cowboys X2 = weights of players for the Green Bay Packers X3 = weights of players for the Denver Broncos X4 = weights of players for the Miami Dolphins X5 = weights of players for the San Francisco Forty Niners You join a Fantasy Football league and you are wondering if weight is a factor in winning Football games. At a 5% level of Significant, determine if the weights of football players on each of these teams is same or different? a. Write the null and alternate hypothesisb. Use Excel to perform an ANOVA analysis. C. Write the value of the test statistic. (Copy it from the Excel printout. )d. What is the p?value associated with this test statistic?

Answer:

i4=1

Step-by-step explanation:

Explanation: Rewrite i14 as (i4)3×i2 . If i=√−1, then i2=−1 . From here (i2)2=(−1)2 , so i4=1

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{0})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[1 - (-3)]^2 + [0 - 4]^2}\implies d=\sqrt{(1+3)^2 +(-4)^2} \\\\\\ d=\sqrt{32}\implies d\approx 5.66\)

Answer:

Step-by-step explanation:

−4−(−7)=

The opposite of −7 is 7.

−4+7

Add −4 and 7 to get 3.

3

Answer:

3

Step-by-step explanation:

Think of -4-(-7) as -4+7

just remove the negative and add instead

your answer is 3

The area of the equilateral triangle is approximately 58.78 square inches.

An equilateral triangle has all sides equal, so we can divide the perimeter by 3 :

45 inches ÷ 3 = 15 inches

Therefore, each side of the equilateral triangle measures 15 inches.

Area = (√3 / 4) x (side length)²

After putting the values,

Area = (√3 / 4) x 15 x 15 square inches

Area = (√3 / 4) x 225 square inches

Area = 58.78 square inches

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Answer:

- 6 and - 4

Step-by-step explanation:

Given

- \(\frac{1}{2}\) x + 4 ≥ 6 ( subtract 4 from both sides )

- \(\frac{1}{2}\) x ≥ 2

Multiply both sides by - 2 to clear the fraction, reversing the symbol as a result of multiplying by a negative quantity.

x ≤ - 4

The only values from the set which satisfy the inequality are

- 4 and - 6

Hi there!  

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I believe your answer is:  

Two units left, 7 units up.

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Here’s why:

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

to left and above

Step-by-step explanation:

Answer:18

Step-by-step explanation:

2x 11 is congruent to 13 mod 16, if 3x 7 is congruent to 2 mod 16.

If 3x 7 is congruent to 2 mod 16, then 2x 11 is congruent mod 16 to what integer between 0 and 15, is inclusive.

To find the solution of 2x 11 congruent mod 16, given 3x 7 congruent to 2 mod 16, we can first use the given equation to find the value of x and then substitute it into the second equation.

First, we can solve for x in the given equation:

3x 7 is congruent to 2 mod 16

3x is congruent to 2 mod 16

x is congruent to 6 mod 16

Now that we know that x is congruent to 6 mod 16, we can substitute it into the second equation:

2x 11 is congruent to 2(6) 11 which is congruent to 13 mod 16

So the solution is that 2x 11 is congruent to 13 mod 16.

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Answer & Step-by-step explanation:

Assuming that there is a constant rate of change, we can use the equation:

\(y=kx\)

k is the constant rate of change. Set up an equation in which the pounds are determined by the rate of change between kilograms and pounds:

\(1=k(2.2)\)

Isolate the variable k:

\(\frac{1}{2.2}=\frac{k(2.2)}{2.2}\\\\\frac{1}{2.2}=k\)

Set up another equation like so:

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

Insert values:

\(\frac{1}{2.2}=\frac{y}{112}\)

Solve for y. Cross multiply:

\(1(112)=2.2y\\\\112=2.2y\)

Isolate the variable. Divide both sides by 2.2:

\(\frac{112}{2.2}=\frac{2.2y}{2.2} \\\\ y=50.9090...\)

So, there are about 50.9 kilograms in 112 pounds.

:Done

Answer:

for the tringle:

area=\(p^{2} -2p-3\)

for the frame:

area=\(8x+28\)

Step-by-step explanation:

For the tringle:-

Area=1/2bh

Area=1/2(2p-6)(p+1)

Area=1/2(\(2p^{2} -4p-6\))

Area=\(p^{2} -2p-3\)

For the picture frame:-

part 1:the area of the big frame

Area=lw

Area=(x+7)(x+4)

Area=\(x^{2} +11x+28\)

part 2:the area of the small frame

Area=lw

Area=(x+3)(x)

Area=\(x^{2} +3x\)

To find the area of the shaded regions:

Area of shaded region=area of the big frame-the area of the small frame

Area of shaded region=\((x^{2} +11x+28)-(x^{2} +3x)\)

Area of shaded region=\(8x+28\)

Answer:

To solve this problem, we need to calculate the change in temperature between noon and 3:30 p.m. and then divide that by the number of hours between noon and 3:30 p.m.

Let's say the temperature at noon was 70 degrees F and the temperature at 3:30 p.m. was 75 degrees F.

The change in temperature between noon and 3:30 p.m. is 75 - 70 = 5 degrees F.

The number of hours between noon and 3:30 p.m. is 3.5 hours.

Therefore, the rate of change in temperature between noon and 3:30 p.m. is 5 degrees F / 3.5 hours = 1.43 degrees F per hour.

Answer:

-18+9k

Step-by-step explanation:

If you use the distributive property, you get:

(-3*6) and (-3*-3k)

If you simplify each of them you get:

-18+9k

Answer:

-18+9k

Step-by-step explanation:

Multiply -3 by 6 and -3 by -3k

Answer:

Step-by-step explanation:

1.)255

2.) yes it is simmilar because money is being taken away from the item which would be the same thing as a price decrease

3.)255+20.4= 275.4

4.)Yes they are both simmilar because moeny is being added to the item, which would be the same thing as the price increasing

The probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.

Given the poll showed that 53.6% of Americans say they believe that some psychics can help solve murder cases.

We are to find the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases.

Let us consider the following events:

Let A be the event that someone believes that some psychics can help solve murder cases and B be the event that someone does not believe that some psychics can help solve murder cases.

Then A and B are complementary events, that is A∩B=∅ (i.e., the events cannot happen at the same time) and A∪B = S (the event space).

Thus we can write P(A) = 53.6% and P(B) = 100% - 53.6% = 46.4%.

Therefore, the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.

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Answer:

Up by 3 units, right by 9 units.

Step-by-step explanation:

The subtraction in (x-9)^2 makes the function shift to the right, adding would make it shift left! Adding numbers to the equation would make the function go up, and subtracting would make it go down. Hope this helps :)

Answer:

220 degree

Step-by-step explanation:

Given the radius=18cm , pi=3.14.. , area=198π

Area of a sector =∅×π×r²/360

or,198π=Θ×π×r²/360

or,Θ=360×198π/πr²

∴Θ=220°

Answer:

Step-by-step explanation:

The equation for the volume of the prism will be given as  V=x^3+3x^2

The volume of the prism is given by the following formula

\(\rm Volume = Width\times Length\times hieght\)

Here we have a condition in the question that

The height of a right rectangular prism is 3 units greater than the length

\(h=x+3\)

length will be l = x

The width will be w=x

now by putting the value in the formula we get

\(\rm Volume = w\times L\times h\)

\(\rm Volume = x \times x \times (x+3)\)

\(\rm Volume = x^3+3x^2\)

Thus the equation for the volume of the prism will be given as  \(V=x^3+3x^2\)

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The smallest integer value of n that satisfies the inequality is n = 28. That means my team wins at least 50 of all its games by the end of the 29th week.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

We can set up an inequality to solve for n:

= 2 wins in the first 5 week + 2 wins per week thereafter × (n - 4) weeks ≥ 50 wins

Simplifying and solving for n, we get:

2 + 2 (n - 4) ≥ 50

-6 + 2n  ≥ 50

2n  ≥ 56

n ≥ 28

So the smallest integer value of n that satisfies the inequality is n = 28. That means my team wins at least 50 of all its games by the end of the 29th week.

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Answer:

50 bills

Step-by-step explanation:

250 divided by 5 since the money is in 5 dollar bills, equal to 50.

Answer:

the cafeteria server 384 students each day

Step-by-step explanation:

⇒ 12 tables in the cafeteria

⇒ Each table can seat 8 students

⇒ 4 lunch periods each day

⇒ 12 x 8 = 96 students can be seated each lunch period

⇒ 96 x 4 = 384 students

Using a unitary method, we have identified that the smaller pot has more water.

To compare the amount of water in the two pots, we need to find a common unit of measurement. In this case, both pots are measured in cups, so we can simply compare the number of cups in each pot. The chef filled the larger pot with 3.7 cups of water, and the smaller pot with 7.3 cups of water.

Now, we can use a unitary method to compare the two quantities. Let's assume that one cup is our unit of measurement. To find out how many cups of water are in the smaller pot, we can divide 7.3 by 1 cup. This gives us 7.3 cups of water. To find out how many cups of water are in the larger pot, we can divide 3.7 by 1 cup. This gives us 3.7 cups of water.

As we can see, the smaller pot has more water than the larger pot.

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The capacity of a car radiator is 20 quarts. If it's full of a 55% antifreeze solution,Let the capacity of the radiator be 20 quarts.

Let x quarts be drained off and replaced by an 80% solution.We know that the radiator is full of a 55% antifreeze solution. After draining x quarts of this solution, there will be (20 - x) quarts of the 55% solution in the radiator. So, the amount of antifreeze in the radiator will be 0.55(20 - x).The x quarts drained off will be replaced by an 80% solution. So, the amount of antifreeze in this solution will be 0.80x.

The total amount of antifreeze in the final solution (20 quarts of a 70% solution) will be:

0.70(20) = 14 quarts

.We can set up an equation that equates the total amount of antifreeze before and after the replacement:

0.55(20 - x) + 0.80x = 0.70(20

Simplifying and solving for

x:11 - 0.55x + 0.80x = 14-0.55x + 0.80x = 30/50

(we divided 14/20 by 10)0.25x = 0.6x = 2.4

The number of quarts that must be drained off and replaced by an 80% solution to give 20 quarts of a 70% solution is 2.4 quarts.

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Answer:

The angle would measure to 26

Step-by-step explanation:

This is because the degrees in the triangle added up have to equal 180.

Step 1: add the existing degrees

124+30= 154

Step 2: do 180 - the sum

180-154 = 26

Therefore the answer is 26

Answer:

The answer is 26 just trust me :)

A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.

In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.

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Answer:

\(13x + 22y = 16x\)

Answer:

they're both two units apart

Step-by-step explanation:

The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)

In mathematics, sequences are sets whose elements observe at least a condition, which is represented by a recursion formula in this question:

f(n + 1) = f(n) + 3

Thus, the following term of the sequence is:

f(2) = f(1) + 3

f(2) = - 4 + 3

f(2) = - 1

The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)

The statement is poorly formatted and reports typing mistakes. Correct statement is:

A sequence is defined recursively by the formula f(n + 1) = f(n) + 3. The first term of the sequence is - 4. What is the next term in the sequence? a) - 7, b) - 1, c) 1, d) 7

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Answer:

The length of AB is 10.

Step-by-step explanation:

To find the length of AB, we can imagine the line AB is the hypotenuse of a right triangle, so by using point A and point B to find x and y, we can find the hypotenuse (r).

A = (9,18)   -->   this means that x = 9, y = 18

B = (1,12)    -->   this means that x = 1, y = 12

So the change in x is 9-1 = 8 units, and the change in y is 18-12 = 6 units

So the triangle would have x = 8, y = 6.

Using Pythagorean theorem, x²+y²=r² --> so √(x²+y²) = r

√(8² + 6²) = r

r = 10

Therefore the length of AB is 10.