Help!! Please help with this question.

Answer:

It is 7x-7

Step-by-step explanation:

You have to add the two expressions, not subtract them.

Answer:

no you need to add, it would be 7x - 7

Step-by-step explanation:

You need to look at the line...they gave you the measurement for PR, and the measurement for RS...and they want you to find PS

You need to add because both PR and RS come together to form PS

Answer:

Y = 4

Step-by-step explanation:

5x-y=54

50-y=54

circle y and subtract 50 from itself then subtract 50 from 54.

after subtracting you should have y=4

The experiment is binomial , probability that 3 out of 14 customers buy a magazine is 0.06 and the expected value is 1.036.

The experiment described is binomial because it satisfies the following conditions:

The probability that exactly 3 out of the first 14 customers buy a magazine. Using the binomial probability formula:

\(P(X = k) = (nCk) \times (p^k) \times {q}^{n - k} \)

Where:

n = number of trials (14 in this case)

k = number of successful trials (3 in this case)

p = probability of success (7.4% or 0.074)

q = 1-p

Plugging in the values:

P(X = 3) = (14C3) × (0.074³) × 0.926¹¹

P(X= 3) = 0.0633

The expected number of customers from this sample that will buy a magazine can be calculated using the formula:

E(X) = n × p

Where:

- n is the number of trials

- p is the probability of success

Plugging in the values:

E(X) = 14 × 0.074 = 1.036

Therefore, the experiment is binomial and the expected value is 1.036.

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Answer:

(a) 2.81%

(b) 0.5%

Step-by-step explanation:

We have the following information from the statement:

P = 64 + - 0.9

(a) We know that the perimeter is:

P = 2 * pi * r

if we solve for r, we have to:

r = P / 2 * pi

We have that the formula of the area is:

A = pi * r ^ 2

we replace r and we are left with:

A = pi * (P / 2 * pi) ^ 2

A = (P ^ 2) / (4 * pi)

We derive with respect to P, and we are left with:

dA = 2 * P / 4 * pi * dP

We know that P = 64 and dP = 0.9, we replace:

dA = 2 * 64/4 * 3.14 * 0.9

dA = 9.17

The error would come being:

dA / A = 9.17 / (64 ^ 2/4 * 3.14) = 0.02811

In other words, the error would be 2.81%

(b) tell us that dA / A <= 0.01

we replace:

[P * dP / 2 * pi] / [P ^ 2/4 * pi] <= 0.01

solving we have:

2 * dP / P <= 0.01

dP / P <= 0.01 / 2

dP / P <= 0.005

Which means that the answer is 0.5%

Answer:

vertex= (4,-5)

Step-by-step explanation:

find the x and y values on the equation by solving

x= -56/2(-7) and y= -7x^2+56x-117

Answer:

8.0 × 10^-3 ÷ 4.0 × 10^4

= 2.0 × 10^-3-4

= 2.0 × 10^-7

or 0.0000002

Answer:

2,4 3,5

Step-by-step explanation:

The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs

An equation is an expression that shows the relationship between two or more number and variables.

Profit = income - cost

Given that the linear equation y = x/2 models the income, in dollars, from selling x plastic combs. Hencee:

Price of each comb = (x/2) / x = 0.5

The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs

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Answer:

$0.50

Step-by-step explanation:

The answer above is correct.

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

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Answer:

The Answer Will Be D

Step-by-step explanation:
The fuel economy of a car is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour.We need to find the fuel economy of the car when it travels at an average of 20 miles an hour.f(20) = -0.009(20)² +0.699(20) +12f(20) = -0.009(400) +13.98f(20) = 9.6The fuel economy of the car when it travels at an average of 20 miles an hour is 9.6 miles per gallon.Therefore, the answer is option D. 22.38 miles per gallon.

Answer:

A

Step-by-step explanation:

There is four graphs that are given to you and you must identify which one is logical. For you I'll explain how this works. Suppose you rented a bus but you went by yourself so that means you'll have to pay the full 400. However, if you have a buddy then you'll have to pay 200 while your buddy pays the other 200.

Basically 400/x

x=the amount of people going on the trip.

The reason why it's not C since you'll notice that the 3rd dot nearest to the left is 200 which 200 times 3 doesn't equal up to 800.

Answer:

P(P|Q) = P(P and Q) / P(Q)

Step-by-step explanation:

Given

Probabilities P and Q

Required

Determine Probability of P given A

This is termed conditional probability.

It is represented by P(P|Q) and is calculated by dividing Probability of P and Q by Probability of Q

Mathematically,

P(P|Q) = P(P and Q) / P(Q)

Hence, option C answers the question

Answer:

1st box- the 3rd option(3215)

2nd box- 3rd option(the one with 5 sides)

3rd box- add 4 and 10

5th box-

700x35= 24,500

900x42= 37,800

6th box-

-\(\frac{5}{6}\)

-\(\frac{7}{10}\)

7th box-

-divide

-add

-multiply

-subtract

8th box-

6.03$, 6 dollars and 3 cents

9th box- 18 f's

10th box-

1/12, 1/8,1/4,1/3,1/2

Step-by-step explanation:

all i can do rn, sorry.

Answer:

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?

when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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To solve the given system of linear equations.

For elimination method:

1. Turn the equations to get that one of the terms with variables be opposite. In this case you can multiply one of the equation for -1:

Multiply the first equation for -1:

2. Add both equations:

3. Solve y in the result of the addition in step 2:

Divide both sides of the eqution into -12

4. Use the value of y= -4 to find the value of x:

Substitute in one of the equations the y for -4 and solve for x:

Add 12 in both sides of the equation:

Divide both sides of the equation into 4:

The common information of the budget software are:

From the question, we understand that the use of the software is to manage and create personalized budgets

The common information of most budget software are:

There are several other information, however the above represents the common information the tool would have

From the question, we understand that the use of the software is to manage and create personalized budgets

The common features of most budget software are:

There are several other features, however the above represents the types of features the tool would have

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Answer:

y= -2/3x-1

Step-by-step explanation:

Hope this helps!

The equivalent equation of  r sinθ = 10 in rectangular coordinates is y²  +   y⁴/x² - 100 = 0.

The rectangular coordinates is calculated from the polar equation as follows;

r sinθ = 10

the conversion from polar to rectangular coordinates;

r² = x² + y²

r = √(x² + y²) ----- (1)

y/x = tanθ  ------ (2)

r sinθ = 10

√(x² + y²)(y/x) = 10

(x² + y²)(y²/x²) = 100

y²  +   y⁴/x² = 100

y²  +   y⁴/x² - 100 = 0

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Mr. Lloyd could use his credit card to buy the TV. Therefore, option  A is the correct answer.

Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.

Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.

Therefore, option  A is the correct answer.

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Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?

A) He can use his credit card to buy the television now.

B) He can save money and pay cash for the television at a later date.

C) He can use his debit card to buy the television now.

D) He can save money and use his debit card to buy the television at a later date.

Answer:

Step-by-step explanation:

Using the binomial distribution, the probabilities are given as follows:

a) 0.37 = 37%.

b) 0.5065 = 50.65%.

c) 0.3260 = 32.60%.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

For this problem, the fixed parameter is:

p = 0.37.

Item a:

The probability is P(X = 1) when n = 1, hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{1,1}.(0.37)^{1}.(0.63)^{0} = 0.37\)

Item b:

The probability is P(X = 3) when n = 3, hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{3,3}.(0.37)^{3}.(0.63)^{0} = 0.5065\)

Item c:

The probability is P(X = 2) when n = 4, hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{4,2}.(0.37)^{2}.(0.63)^{2} = 0.3260\)

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An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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The probability that exactly 3 out of 4 people chosen at random favor the new building project is 0.2904.

This problem can be solved using the binomial probability formula. Let X be the number of people who favor the new building project out of the 4 chosen at random. Then X follows a binomial distribution with parameters n = 4 and p = 0.45.

The probability of having exactly k people who favor the new building project out of 4 is given by:

P(X = k) = (4 choose k) * \(0.45^{k}\) * \(0.55^{4-k}\)

where (4 choose k) is the binomial coefficient.

To find the probability that exactly 3 of the 4 people favor the new building project, we substitute k = 3 in the above formula and evaluate:

P(X = 3) = (4 choose 3) * \(0.45^{3}\) * \(0.55^{1}\)

= 0.290384375

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