Can someone please help me!

Answer:

The answer is 85.75

Step-by-step explanation:

f(n) = 4.75n − 28.25; f(24)

f(24) = 4.75(24) − 28.25

f(24) = 114 − 28.25

f(24) = 85.75

Thus, The answer is 85.75

-TheUnknownScientist 72

Answer:

- 6

Step-by-step explanation:

The rate of change of the values is the slope m

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 32) and (x₂, y₂ ) = (0, 20) ← 2 ordered pairs from the table

m = \(\frac{20-32}{0+2}\) = \(\frac{-12}{2}\) = - 6 ← rate of change

The expected value of the random variable y is computed to be 3.8.The variance of y is calculated to be 4.06, and the standard deviation is approximately 2.02.

To compute the expected value of the random variable y, we multiply each value of y by its corresponding probability and sum them up. In this case, we have:

E(y) = (2)(0.2) + (4)(0.1) + (5)(0.3) + (8)(0.2) + (10)(0.2) = 0.4 + 0.4 + 1.5 + 1.6 + 2 = 3.8.

To calculate the variance of y, we first need to compute the squared deviations from the expected value for each value of y, multiply them by their corresponding probabilities, and sum them up. Then, subtracting the squared expected value of y gives us the variance. Using the formula:

Var(y) = \(E[(y - E(y))^2],\)

we have:

Var(y) = \([(2 - 3.8)^2](0.2) + [(4 - 3.8)^2](0.1) + [(5 - 3.8)^2](0.3) + [(8 - 3.8)^2](0.2) + [(10 - 3.8)^2](0.2),\)

Var(y) = 0.36 + 0.04 + 0.36 + 4.84 + 36,

Var(y) = 4.06.

Finally, the standard deviation (σ) is the square root of the variance:

σ = √Var(y) ≈ √4.06 ≈ 2.02.

Therefore, the variance of y is 4.06, and the standard deviation is approximately 2.02.

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Ms. Ling's monthly car payments are $558.89.

The formula for calculating simple interest is:

Interest = Principal × Rate × Time

Given:

Principal (P) = $32,000

Rate (R) = 4.25% per year = 0.0425 (as a decimal)

Time (T) = 6 years

Using the formula, we can calculate the interest:

Interest = $32,000 × 0.0425 × 6

Interest = $8,160

The total amount to be repaid is the sum of the principal and the interest:

Total amount = Principal + Interest

Total amount = $32,000 + $8,160

Total amount = $40,160

To find the monthly car payments, we divide the total amount by the number of months in the loan term.

There are 6 years in the loan term, we multiply by 12 to convert it to months:

Number of months = 6 years × 12 months/year

Number of months = 72 months

Monthly car payments = Total amount / Number of months

Monthly car payments = $40,160 / 72

Monthly car payments = $558.89

Therefore, Ms. Ling's monthly car payments are approximately $558.89.

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Answer:

So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

Answer:

The Prime Factorization is:

2 x 2 x 3 x 5

In Exponential Form:

2^2 x 3^1 x 5^1

The value of the integral is 1372.5. This can be evaluated by first performing the two separate integrals, and then adding the results together. The first integral evaluates to 1275, and the second integral evaluates to 97.5. Adding these two results together gives us the final answer of 1372.5.

The integral can be evaluated using the following steps:

First, we can perform the two separate integrals. The first integral is from 0 to 9, and the second integral is from -8 to 11. The integrand in both integrals is 9x-10.

The first integral evaluates to 1275. This can be found by using the following formula:

∫ x^n dx = (x^(n+1))/n+1

In this case, n=1, so the integral evaluates to 1275.

The second integral evaluates to 97.5. This can be found by using the following formula:

∫ x^n dx = (x^(n+1))/n+1

In this case, n=2, so the integral evaluates to 97.5.

Finally, we add the results of the two integrals together to get the final answer of 1372.5.

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Answer: No

Step-by-step explanation:

There are infinitely many numbers. Numbers so big that they are beyond our comprehnsion. Numbers can also be infinitly small. A fraction is something less than a whole. So the answer is no you can't list them all.

The age of person is 40 years old.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Age of the person = M

Now,

We can make an expression.

M + (3/4)M = 70

Now,

Solve for M.

M + (3/4)M = 70

(4M + 3M) / 4 = 70

7M = 70 x 4

7M = 280

Divide both sides with 7.

M = 40

Thus,

The age of person is 40 years old.

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Answer:

Step-by-step explanation:

x-15+135+x+90=360

2x+210=360

2x=360-210

2x=150

x=150/2=75°

Answer:

Either a or d

Step-by-step explanation:

Because they show the data correctly it is A trust me

Answer: Scatterplot A

Step-by-step explanation:

edGE 23

Answer:

Solve for O

by simplifying both sides of the equation, then isolating the variable.

O=y+7x/17

Answer:

8/27 is represented in decimal as 0.2962962963

Answer:

1) 187.5ms^2

1) 187.5ms^22) 307.5m

Step-by-step explanation:

1) You can use the formula:

Force = Mass x Acceleration

750 = 4 x a

750 = 4a

750/4 = a

187.5ms^2

2)

For every one second it travels 12.3 meters therefore you can just do 12.3x25 = 307.5m

To solve the given problem, we can use the binomial probability formula. The formula for the probability of getting exactly k successes in n trials, with a success probability of p, is:

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

where:

n is the number of trials or sample size,

k is the number of successes,

(n C k) is the binomial coefficient, calculated as n! / (k!(n - k)!),

p is the probability of success in a single trial, and

(1 - p) is the probability of failure in a single trial.

Given:

Probability of obesity (success), p = 0.169

Sample size, n = 17

Let's calculate the probabilities for each scenario:

A) The probability that at most 2 people are obese:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial probability formula, we can calculate these individual probabilities.

B) The probability that exactly 5 people are obese:

P(X = 5) = (17 C 5) * \(0.169^5 * (1 - 0.169)^(17 - 5)\)

Using the binomial probability formula, we can calculate this probability.

C) The probability that none of the people are obese:

P(X = 0) = (17 C 0) * \(0.169^0 * (1 - 0.169)^(17 - 0)\)

Using the binomial probability formula, we can calculate this probability.

D) The probability that at least 2 people in the sample will be obese:

P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)

Using the binomial probability formula, we can calculate the individual probabilities and subtract them from 1.

Calculating these probabilities will give us the answers for each scenario.

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Answer:

10

Step-by-step explanation: divide 2 by 20

Answer:

A = 42 - 80 B = 40 - 112

Step-by-step explanation:

I can answer Both A & B for you however C & D aren't very clear.

A:

Perimeter = 42cm

Area = 80cm Cubed

B:

Perimeter = 40cm

Area = 112cm Cubed

Calculations

In Question A, you are given all the measurements for the perimeter except, which is the line at the bottom. If we take what we already have been given.

10 + 8 + 4 + 4 + 3

We have 3 sides currently without a measurement, The Right side of the shape is 8, therefore the left must be the same, so that measurement is 8.

The small line creating the indent inside the shape must be 2, as we know the line at the top = 10cm. The line opposite it is must be 3 as the one opposite is 3cm.

Factoring those into our calculation:

10 + 8 + 8 + 4 + 4 + 3 + 3 + 2 = 42cm (Perimeter)

To find the Area you multiply the Height of the shape by the width.

Height = 8

Width = 10

8 x 10 = \(80cm^{2}\) (Area)

In Question B, you are given all the measurements for the perimeter, so you would simply add them up again.

14 + 10 + 8 + 2 + 6 = 40cm (Perimeter)

To Calculate the Area as previously said you would multiply the width by height.

Height = 8cm

Width = 14

14 x 8 = \(112cm^{2}\) (Area)

Hope this helps :)

The correct fraction of the bag of pretzels that has been packed is given as follows:

7/12.

The fractions of pretzels packed are given as follows:

Then the total fraction of the bag of pretzels that was packed is obtained by the sum of the fractions, as follows:

1/3 + 1/4.

These fractions have different denominators, of 3 and 4, hence the least common factor of them has to be calculated, which is of 12.

Then:

Then the equivalent addition of the fractions is given as follows:

1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Meaning that the correct fraction is of 7/12.

The problem is incomplete, hence the total fraction was obtained.

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Answer:

$22 * .15 = $3.30 + $22 = $25.30

Step-by-step explanation:

Answer:

i think the new price would be $18.70

Step-by-step explanation:

Answer:

  4.0 feet

Step-by-step explanation:

You want the diameter of a rubber ball that costs $1, if that cost is $0.02 per square foot.

The surface area of a sphere is given by ...

  A = 4πr²

In terms of diameter, this is ...

  A = 4π(d/2)² = πd²

The cost will be ...

  Cost = (cost/square foot)(area)

  1.00 = 0.02(πd²)

Solving for d, we have ...

  d² = 1.00/(0.02π) ≈ 15.915

  d ≈ √15.915 ≈ 3.989 ≈ 4.0 . . . . feet

The diameter of the ball is about 4.0 feet.

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Given:

given

Find;

we have to find the values of g(x) at given points of x

Answer: no it not bigger because 30 is bigger than 10

Step-by-step explanation:

Answer:

Slope is -8

Step-by-step explanation:

The slope is the number in front of x.

6.85 miles is how deep it is. Under water, sound may travel 4700 feet in a second. The Time takes to travel the sound is 7.69.

Given that,

The deepest area in the ocean is the Marianas Trench in the Pacific Ocean. 6.85 miles is how deep it is. Under water, sound may travel 4700 feet in a second.

We have to calculate the time it takes for sound to travel from the ocean's surface to the Marianas Trench's depths and back, to the nearest tenth of a second.

We know the Distance formula is

Distance =rate×times

Time=Distance/rate

We convert 4700 feet to miles

We get,

4700 feet =0.89 miles

Now,

Time=6.85/0.89

Time=7.69

Therefore, the Time takes to travel the sound is 7.69.

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Answer:

Results are below.

Step-by-step explanation:

We will take into account the differential costs only. Therefore, the costs of sugar beets and to crush them are irrelevant to decision making.

Beet fiber:

Sold as is= $25

Continue processing= 57 - 16= $41

It is more convenient to process further the beet fiber.

Beet juice:

Sold as is= $39

Continue processing= 84 - 22= $62

It is more convenient to process further the beet juice.

\( {5x}^{4} \)

The degree of the given term is 4.

Answer:

0.71428571

Step-by-step explanation:

Answer:5.7

Step-by-step explanation:

The points A(2,-1,1), B(1,-3,-5), and C(3,-4,-4) are vertices of a right-angled triangle.

To determine if the given points form a right-angled triangle, we can calculate the distances between the points and check if the square of the longest side is equal to the sum of the squares of the other two sides.

Calculating the distances between the points:

The distance between A and B can be found using the distance formula: AB = √[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2] = √[(1 - 2)^2 + (-3 - (-1))^2 + (-5 - 1)^2] = √[1 + 4 + 36] = √41.

The distance between A and C can be calculated in a similar manner: AC = √[(3 - 2)^2 + (-4 - (-1))^2 + (-4 - 1)^2] = √[1 + 9 + 25] = √35.

The distance between B and C is: BC = √[(3 - 1)^2 + (-4 - (-3))^2 + (-4 - (-5))^2] = √[4 + 1 + 1] = √6.

Next, we compare the squares of the distances:

(AB)^2 = (√41)^2 = 41

(AC)^2 = (√35)^2 = 35

(BC)^2 = (√6)^2 = 6

From the calculations, we see that (AB)^2 is not equal to (AC)^2 + (BC)^2, indicating that the given points A, B, and C do not form a right-angled triangle.

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When driving for long periods of time, it is recommended to take breaks of approximately fifteen minutes every two hours.

Taking regular breaks while driving is crucial for maintaining alertness and reducing fatigue. The suggested interval of fifteen minutes every two hours allows for rest, stretching, and refreshing oneself without significantly prolonging the journey.

It helps prevent driver fatigue, improves concentration, and enhances overall safety on the road. By adhering to this guideline, drivers can effectively manage their energy levels and minimize the risk of accidents caused by drowsiness or reduced attention.

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Answer:

17 seats per row

Step-by-step explanation:

We Know

68 seats in 4 rows

How many seats per row?

We Take

68 ÷ 4 = 17 seats per row

So, there are 17 seats per row.

The answer is:

Work/explanation:

Find the number of seats per row by dividing the number of seats in all 4 rows by the number of rows:

\(\sf{68\div4=17}\)

There are 17 seats per row.