An agent claims that there is no difference between the pay of safeties and linebackers in the NFL. A survey of 15 safeties found an average salary of $501,580 and a survey of 15 linebackers found on average salary of $513,360. If the standard deviation in the first sample was $20,00 and the standard deviation in the second sample is $18,000 is the agent correct? Use a=0. 5

The cost of one Rose bush is $11.5 and cost of one Geranium is $9.5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

let the cost of rose bushes be x and y be the cost of Geraniums.

So, the system of Equation is

4x + 3y= 74.5

and, 7x+ 2y= 99.5

Solving above Two Equation

x= 11.5 and y= 9.5

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The first 10 terms sum in the geometric series is 5115.

The first term of geometric series = 5

Common ratio = 2

First, let us discuss how to calculate the sum of n terms of GP. Assume the sum of the first n terms of a GP with first term a and common ratio r. Then the first 'n' terms of GP are of form a, ar, ar², ... ar^(n-1). Let S be the sum of the GP of n terms. Then:

Sₙ = a + ar + ar² + ... + ar^(n-1) ... (1)

Multiply both sides by r:

rSₙ = ar + ar² + ... + arⁿ ... (2)

Subtracting equation (1) from equation (2):

rSₙ - Sₙ = (ar + ar² + ... + arⁿ) - [a + ar + ar² + ... + ar^(n-1)]

Sₙ (r - 1) = arⁿ - a

Sₙ (r - 1) = a(rⁿ - 1)

Sₙ = a(rⁿ - 1)/(r - 1)

Note that, here, r ≠ 1.

Sₙ = -a(1 - rⁿ)/(-(1 - r)) = a(1 - rⁿ)/(1 - r).

Sₙ = a[1-rⁿ]/[1-r]

S₁₀ = 5[1-2¹⁰]/[1-2]

S₁₀ = 5[1023]

S₁₀ = 5,115

--The given question is incorrect, the correct question is

"The first term in a geometric series is 5 and the common ratio is 2. Find the sum of the first 10 terms in the series."--

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Answer:

\(188.6\) cubic feet

Step-by-step explanation:

Let r, h denotes radius and height of the tree's trunk.

Radius of the tree's trunk = 2 feets

Height of the tree's trunk = 15 feets

The tree's trunk is in the shape of a cylinder.

Volume of cylinder (tree's trunk) \(=\pi r^2h\)

Put \(r=2\,,\,h=15\)

Volume of the tree's trunk \(=\pi (2)^2(15)=60\pi\) cubic feet

Put \(\pi=\frac{22}{7}\)

So,

Volume of the tree's trunk \(=60(\frac{22}{7})=\frac{1320}{7}=188.6\) cubic feet

Answer:

the answer is x=+/- 3 sqrt 2

Answer:

x = -175

Step-by-step explanation:

Given:

⇒ \(-\frac{x}{7}-8=17\)

Solution:

Work:

\(-\frac{x}{7}-8=17\)

\(-\frac{x}{7}-8+8=17+8\)    ⇒ Add 8 to both sides

\(-\frac{x}{7}=25\)

\(7\left(-\frac{x}{7}\right)=25\cdot \:7\) ⇒ Multiply both sides by 7

-x = 175

\(\frac{-x}{-1}=\frac{175}{-1}\) ⇒ Divide both sides by -1

x = -175

Check:

Since, x = -175. We can substitute into the equation to check.

\(-\frac{-175}{7}-8=17\)

\(-\frac{-175}{7}=25\)

\(25-8=17\) ⇒ Statement = True (25 minus 8 is 17.

Hence, x = -175

Lenvy~

ANSWER

C. 50 > x + 12.50

EXPLANATION

We have that the price of each t-shirt is the same and the pair of shorts cost $12.50.

Let the price of the t-shirts John bought be x.

We have that John did not speand more than $50.

This means that, if we add the prices of the t-shirts and the pair of shorts, it must be less than $50.

Therefore, the inequality is:

x + 12.50 < 50

This is not among the options, but we can rewrite it as:

50 > x + 12.50

That is the answer. Option C.

Answer:

53,150 ML

Simply add both of the numbers and you have your answer.

Answer: 22

Step-by-step explanation:

From the question the, we are informed that members of a lacrosse team raised $1352.50 to go to a tournament and that they rented a bus for $802.50 and budgeted $25 per player for meals.

The equation which can be used to determine p, the number of players the team can bring to the tournament would be calculated as:

802.50 + 25p = 1352.50

25p = 1352.50 - 802.50

25p = 550

p = 550/25

p = 22

They can bring 22 players to the tournament

Answer:22

Step-by-step explanation:

Answer: B. their usefulness

Step-by-step explanation: A socialist economy may be described as a system whereby factors of production including goods and services are generally explored and processes in other to serve and benefit the people. In socialism, resources are deemed to be owned by all members of the public and as such total control resides with the government who makes decision on production, processing and sales of the resources to serve useful benefit for the people. The socialist econmoy opposes the capitalist form of government whereby goods and services are generated in other to yield profit.

Answer:

11

Step-by-step explanation:

The angles will equal 180.

Thus, the equation is 9x-5+6x+20=180.

15x+15=180.

15x=165.

divide by 15 on both sides, x = 11.

Answer:

14.91

Step-by-step explanation:

Have a good day :)

Answer:

The answer is 14.91

Step-by-step explanation:

To find the answer we must first see how many times 5 can go into 74.55.  Since 5 x 14.91 = 74.55, then it means that our answer is 14.91.  

Answer:

Side JL corresponds with FG

Step-by-step explanation:

because they are both the same length. it is just turned.

Answer:

x = 6

Step-by-step explanation:

Slope = (y(2) - y(1))/(x(2) - x(1))

(-1 - 1) / (-1 - x)

If the slope is 2/7, it would be (-2/-1-x, where x would have to be 6)

(-2)/(-7) = 2/7, so x = 6

Check:

(-1 - 1) / (-1 - 6)

(-2)/(-7)

2/7 (Correct :))

Hope it helps :D

Answer:

PLATO

Step-by-step explanation:

Answer:

The coordinates of point D will vary based on the point location, but the resulting slope of the line through points C and D will be the same.

A  =  (-3, 3), B = (-1,-1)

Slope of AB  =  (YB−YA) / ( XB –XA) =−1−3 / −1−(−3)= − 4 / 2= −2

D =  (-1,6), C = (1,2)

Slope of DC  =  (YC−YD) / (XC−XD)= 2 – 6 / 1−(−1)=−4 / 2=−2

Step-by-step explanation:

Answer: six ways

Step-by-step explanation: The pairs when the cube is rolled that are less than five would be; (1,1), (1,2), (1,3), (2,1), (2,2), (3,1) since each cube is out of six.

the local time in Anchorage when the image was taken was 5:00 PM, and the local day was Dec. 2, 2011.

To determine the local time and day in Anchorage when the satellite image was taken, we need to consider the time difference between the Prime Meridian (0 degrees longitude) and Anchorage, Alaska (approximately 150 degrees west longitude).

Each time zone is approximately 15 degrees wide, representing a one-hour difference in local time. Anchorage is in the Alaska Standard Time (AKST) zone, which is typically UTC-9 (nine hours behind UTC) during standard time.

Given that Anchorage is about 150 degrees west of the Prime Meridian, we can calculate the time difference as follows:

150 degrees / 15 degrees per hour = 10 hours

Therefore, when the image was taken at 0300Z (3:00 AM), Dec. 3, 2011, at the Prime Meridian, the local time and day in Anchorage were:

3:00 AM - 10 hours = 5:00 PM, Dec. 2, 2011

So, the local time in Anchorage when the image was taken was 5:00 PM, and the local day was Dec. 2, 2011.

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Answer:

Step-by-step explanation:

LCM of 35 and 33 is 1125.

The numbers 33 and 35 do not have any common divisors,  they are not divided by any numbers.

so they get multiple i.e 33*35=1125.

Answer:

B. (13 - 6)n - 40

Step-by-step explanation:

If each bottle costs them $6 and they are selling each one for $13, the amount of money they make for each bottle can be represented by (13 - 6)n

This is because this finds the profit per bottle, then multiplies it by n, which is the number of bottles they sell.

Then, since they spent $40 on advertising, subtract 40 from this.

The expression will be (13 - 6)n - 40.

The correct answer is B. (13 - 6)n - 40

The expression represents the money that the group raises is  (13-6)n  - 40

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

According to the question

Members of a school sports team are raising money by selling custom water bottles at school activities.

Let number of bottle they sell = n

Selling price of a bottle = $13

Now ,

Selling price of n bottle =  $13n

Cost price of a bottle =  $6

Now ,

Cost price  of n bottle =  $6n

Money spent on advertising = $40

Total they spent on bottles = $6n +  $40

Therefore,

Money they raise in expression =  13n - 6n - 40

                                                      =  (13-6)n  - 40

Hence, The expression represents the money that the group raises is  (13-6)n  - 40

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Answer:

1

Step-by-step explanation:

The slope can be found using the RISE/RUN equaton.

Looking at both graphs we see that they are parallel so that tells us that they have the same slope.

We can count how many boxes up and then how many boxes right this line goes to find the slope.

We also know that the slope is positive because the lines are increasing from left to right.

Answer:

12 and 5 inches since squaring them would equal 144+25, which is 169, and ✓169=13. the two legs have to equal the hypotenuse when combined to be a right triangle.

Answer:

-4/9 IS a solution

Step-by-step explanation:

-2/3 = -6/9

-4/9 is greater than -6/9

Therefor -4/9 IS a solution to the inequality

The function \(f(x) = x^4 - 2x^3 + (3/2)x^2 + 2x - 1/2\) satisfies the given conditions f(1) = 5 by integrating functions twice f(x) given \(f''(x) = 12x^2 - 12x + 3, f'(1) = 3,\) and  \(f(1) = 5\)

The function f(x) given \(f''(x) = 12x^2 - 12x + 3, f'(1) = 3,\) and  \(f(1) = 5\) is\(f(x) = x^4 - 2x^3 + (3/2)x^2 + 2x - 1/2.\)

To find the function f(x), we need to integrate the given second derivative twice.

By integrating \(f''(x) = 12x^2 - 12x + 3\)  gives,

\(f'(x) = 4x^3 - 6x^2 + 3x + C_1.\)

Using the initial condition \(f'(1) = 3\), solve for the constant of integration. Plugging in x = 1, gives

\(4(1)^3 - 6(1)^2 + 3(1) + C_1 = 3.\)

Simplifying, we find

\(C_1 = 2.\)

Integrating \(f'(x) = 4x^3 - 6x^2 + 3x + 2\), gives

\(f(x) = x^4 - 2x^3 + (3/2)x^2 + 2x + C_2.\)

Substituting the initial condition f(1) = 5,  solve for \(C_2\). Substituting x = 1, gives,

\((1)^4 - 2(1)^3 + (3/2)(1)^2 + 2(1) + C_2 = 5.\)

Simplifying, we find

\(C_2 = -1/2.\)

Therefore, the function \(f(x) = x^4 - 2x^3 + (3/2)x^2 + 2x - 1/2\) satisfies the given conditions by integrating functions twice f(x) given \(f''(x) = 12x^2 - 12x + 3, f'(1) = 3,\) and  \(f(1) = 5\)

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The probability that either event will occur is 0.83

From the question, we have the following parameters that can be used in our computation:

Event A = 18

Event B = 12

Other Events = 6

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 18 + 12 + 6

Evaluate

Total = 36

So, we have

P(A) = 18/36

P(B) = 12/36

For either events, we have

P(A or B) = 30/36 = 0.83

Hence, the probability that either event will occur is 0.83

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Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

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Answer:

Multiply 3.75 times 1.5

Step-by-step explanation:

Answer:

please see the attached I put the answer

Step-by-step explanation:

you answer were correct but you change the sign one of them will be positive.

The rotation rule used in this problem is given as follows:

90º counterclockwise rotation.

The five more known rotation rules are given as follows:

The equivalent vertices for this problem are given as follows:

Hence the rule is given as follows:

(x,y) -> (-y,x).

Which is a 90º counterclockwise rotation.

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The probability that a pupil uses neither pool nor gym is 11/70

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

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Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required lengths are not given.

I will use the following data set to answer the question.

\(Dataset: 35, 51, 39, 42, 68, 62, 32, 59\)

First, is to determine the range of the dataset

\(Range = Highest - Least\)

\(Range = 68 - 32\)

\(Range = 36\)

Next, we will make use of 4 classes. So, we divide range by 10 to get the number of class. 10 represents the interval

\(Class= Range/10\)

\(Class = 36/10\)

\(Class = 3.6\)

\(Class \approx 4\)

So, we use 4 classes

Plot the frequency distribution table as follows:

\(\begin{array}{ccc}{Intervals} & {Observations} & {Frequency} & {31-40} & {32,35,39} & {3} & {41-50} & {42} & {1} & {51-60} & {51,59} & {2} & {61-70} & {62,68} & {2}\ \end{array}\)

See attachment for histogram

To find the median weight of the apples in a barrel, you need to follow a specific process. You would need to sort the weights of all the apples in ascending order and then determine the middle value.

In more detail, here's how you can find the median weight:

1. Collect the weights of all the apples in the barrel.

2. Arrange the weights in ascending order, from the smallest to the largest.

3. If the number of apples is odd, the median weight is the weight of the apple in the middle of the sorted list.

4. If the number of apples is even, the median weight is the average of the two middle weights.

5. Calculate the median weight using the appropriate method based on the number of apples.

6. Round the median weight to the desired precision if necessary.

By following these steps, you can determine the median weight of the apples in the barrel, providing you with a measure of the central tendency for the apple weights.

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