Find the zero of the function f(x) = 5x-3

The correct option is A "Because the population sizes are so different, it's impossible to make the standard deviations equal by adjusting the two sample sizes ".

The collection of data is gathered and chosen from a statistical population with the use of some prescribed techniques in both statistics and quantitative methodology. Data sets may be divided into two categories: sample and population.

All the components of the data set are included in the population, which also contains quantifiable qualities like mean and standard deviation.

A sample is made up of one or more observations that are taken from the population, and a statistic is what makes a sample quantifiable. The act of sampling is the selection of a sample from a population.

Complete question:

Suppose you want to estimate the percentage of college students who are using electronic cigarettes on a regular basis. You have permission to sample two colleges, Grove City College and Penn State University. Grove City has an enrollment of 2,500 students and Penn State has an enrollment of 45,000 students. What should the relative size of our samples be from each school if we want the two sampling distributions to have approximately the same standard deviation?

A. Because the population sizes are so different, it's impossible to make the standard deviations equal by adjusting the two sample sizes

B. We should take a larger number of Penn State students since there are more of them.

C. We should take a larger number of Grove City students since there are fewer of them.

D. We should take the same size samples from each school.

E. We should take samples that are exactly 10% of each school's enrollment.

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we have

3P23=23*22*21=10,626

answer is option

Answer:

63

Step-by-step explanation:

I'm not 100% sure but I'm almost 98% sure this is right

Answer:

40 = 18.25 + 0.34x

x is the sheets of paper she can buy

x = 63.9

So she can buy 63 sheets of paper and have a little change left over.

Answer:

1900 km

Step-by-step explanation:

train = 1050km

bus = 200 less than train or 1050-200 = 850

1050+850=1900

Answer:

625, just got it right

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Let the number be n

6*n = 16 + 4*n

6n = 16 + 4n

6n - 4n = 16

2n = 16

2n/2 = 16/2

n = 8

Option-D is correct that is Brand -D is better to buy because 16 ounces we have to pay $2.00 but it is $1.84 here saved $0.16.

Given that,

The brand that is the better buy.

Brand A: $1. 25 for 10 ounces

Brand B: $1. 47 for 12 ounces

Brand C: $1. 68 for 14 ounces

Brand D: $1. 84 for 16 ounces

We have to see which brand is better to buy.

Option D- Brand -D is better to buy because,

For brand-A

For $1.25 we get 10 ounces.

Brand- B as 12 ounces we have to pay $1.50 but it is $1.47 here saved $0.03

Brand- C as 14 ounces we have to pay $1.75 but it is $1.68 here saved $0.07

Brand- D as 16 ounces we have to pay $2.00 but it is $1.84 here saved $0.16

Therefore, Option-D is correct that is Brand -D is better to buy because 16 ounces we have to pay $2.00 but it is $1.84 here saved $0.16.

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Answer:

50 + 20h

Step-by-step explanation:

Answer:

E = 27.125

Step-by-step explanation:

Hope this helps you.

Answer:

e=56

Step-by-step explanation:

since the denominator is 8, what can you divide by 8 to get something that you can add to 23 and get 30.

30-23=7

56//8=7

Tyrone's uphill speed is 6 miles per hour, and his downhill speed is 9 miles per hour.

In the given scenario, Tyrone spends a total of 45 minutes riding his bike uphill and 15 minutes riding back downhill. Let's assume the distance between the starting point and the top of the hill is 'd' miles. Since time is directly proportional to distance when speed is constant, we can set up the following equation:

45 minutes = d miles / Tyrone's uphill speed

Similarly, for the downhill journey:

15 minutes = d miles / Tyrone's downhill speed

We are also given that Tyrone's uphill speed is 3 miles per hour slower than his downhill speed. So, we can write the equation:

Tyrone's uphill speed = Tyrone's downhill speed - 3 miles per hour

Now, we can substitute the values into the equations.

From the first equation, we have:

45 minutes = d miles / (Tyrone's downhill speed - 3)

From the second equation, we have:

15 minutes = d miles / Tyrone's downhill speed

By solving these equations simultaneously, we find that Tyrone's uphill speed is 6 miles per hour, and his downhill speed is 9 miles per hour.

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Bottom left as it's measurements and shape are the closest to the one Jan has

Answer:

the first expression is 2 therefore 2 plus the second expression is 4 so 2+4 = 6

Answer:

the first expression is 2 therefore 2 plus the second expression is 4 so 2+4 = 6

Step-by-step explanation:

sin(π/6) is independent of x, so

\(\displaystyle \lim_{x\to-1} \sin\left(\frac\pi6\right) = \sin\left(\frac\pi6\right) = \boxed{\frac12}\)

The completely factored form of the polynomial is 7x² (x + 6) (x - 4)

Given,

The polynomial ; 7x⁴ + 14x³ - 168x²

We have to find the complete factored form of this polynomial;

Polynomial;

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here,

The polynomial is  7x⁴ + 14x³ - 168x²

Now,

Factorize the polynomial using common factors;

That is,

7x⁴ + 14x³ - 168x²

7x² (x² + 2x - 24)

Solve x² + 2x - 24 using quadratic formula;

That is,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2

Now,

Solve

-2 + √-92 / 2 = 3.79 ≈ 4

Solve

-2 - √-92 / 2 = -5.79 ≈ -6

Then,

The factors will be (x - 4) and (x + 6)

So,

7x² (x + 6) (x - 4) will be the factored form of the polynomial.

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The equation that can be used to model the total number of yards of fabric, y. needed to make x curtain panels is y = (10 2/4 ÷ 4) × x

It should be noted that Mary used 10 2/3 yards of fabric to make 4 identical curtain panels.

Therefore, the equation that can be used to model the total number of yards of fabric, y. needed to make x curtain panels will be:

y = (10 2/4 ÷ 4) × x

where

y = number of yards

x = number of panels

Therefore, the equation is y = (10 2/4 ÷ 4) × x

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We will get that the angle theta is:

θ = β/2

Remember that the sum of the interior angles of any triangle must be equal to 180°.

Now, looking at the triangle in the left, we can see that the top angle is equal to:

180 - 2α

The right angle is equal to:

180 - 2β

And the left angle is α

Then we can write:

α + (180 - 2α) + (180 - 2β) = 180

-α - 2β = -180

α = 180 - 2β

Now we can go to the other triangle, where theta is, and write:

α + β + 2θ = 180

Replacing what we found above, we get:

180 - 2β + β + 2θ = 180

-β + 2θ = 0

θ = β/2

That is the best simplification we can get with the given diagram.

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Percent is a part or amount in the given hundred. The value of the whole in the fraction part of 100 is percentage value of the number. The Shona can afford the rug in store B. She will have $1. 84 left over.

Given information-

Store A has the rug for $45 with a 10% discount.

Store B has the same rug for $46 and is offering a $10 off coupon.

The sales tax is 6%.

Total money is $40.

Percent is a part or amount in the given hundred. The value of the whole in the fraction part of 100 is percentage value of the number.

a) The price of the rug at store A,

The price of the rug at store A after the 10 percent discount,

\(Pa=45-\dfrac{45}{100}\times10\)

\(P_a=45-4.5\)

\(P_a=40.5\)

The price of the rug at store A after the 10 percent discount is 40.5. The price of the rug at store A after the 6 percent sales tax.

\(P_a=40.5+\dfrac{40.5}{100} \times6\)

\(P_a=42.93\)

b) The price of the rug at store B,

The price of the rug at store B after the $10 off coupon

\(Pa=46-10\)

\(P_a=36\)

The price of the rug at store A after the $10 off coupon is 35. The price of the rug at store B after the 6 percent sales tax.

\(P_a=36+\dfrac{36}{100} \times6\)

\(P_a=38.16\)

Thus Shona buy rug from the store B.

The money she will left over,

\(=40-38.16=1.84\)

Thus the Shona can afford the rug in store B. She will have $1. 84 left over.

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Answer:

18 square feet

Step-by-step explanation:

hope this helps :)

Answer:

18 ft might be the answer

Answer: 4,500 i got this answer

:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.8million/400

\(18 * 10 ^{-1} *10^{6}*10^{-2} /4\)

=4.5*10^3

=4.5*1000

=4500

Answer:11/25

Step-by-step explanation:

The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.

Isolating x,

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

Therefore substituting value of x on equation 2,

9(2y) = 40 - 14y

18y = 40 - 14y

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = 5/4

Therefore , x = 10/4 = 5/2

as because x =2y.

An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y

These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as  because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

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Answer:

The average rate will be:  0.7 inches/hour

Hence, Option (4) is correct.

Step-by-step explanation:

As the average rate = change in y-values/change in x values

                                 = Δy/Δx

From the table, it is clear that over the time interval 't=2' to 't=7', the values

snow depth 'd' inches change from d=1.5 to d=5.

Therefore,

Average rate = Δy/Δx

                      = (5-1.5) / (7-2)

                      = 3.5/5

                      = 0.7 inches/hour

Therefore, the average rate will be:  0.7 inches/hour

Hence, Option (4) is correct.

Answer:

-i

Step-by-step explanation:

\(i^{2}\)=-1,\(i^{3}\)=\(i^{2}\)*i=-i

\(x^{2}\)Answer:

(Explanation)

Step-by-step explanation:

Part A:

The graph of y = \(x^{2}\) + 2 will be translated 2 units up from the graph of y = \(x^{2}\).

If you plug in 0 for x, you get a y-value of 2. The 2 is also not included with the \(x^{2}\), which is why it doesn't translate left.

This is what graph A should look like:

[Attached File]

Part B:

The graph of y = \(x^{2}\) - 2 will be translated 2 units down from the graph of y = \(x^{2}\).

If you plug in 0 for x, you get a y-value of -2. The 2 is also not included with the \(x^{2}\), which is why it doesn't translate right.

This is what graph B should look like:

[Attached File]

Part C:

The graph of y = 2\(x^{2}\) is a stretched version of the graph y = \(x^{2}\). Numbers that are greater than 1 stretch and open up and numbers less than -1 stretch and open down.

This is what graph C should look like:

[Attached File]

Part D:

The graph of y = \(\frac{1}{2}x^{2}\) is a compressed version of the graph y = \(x^{2}\). Numbers that are in-between 0 and 1, and -1 and 0 are compressed.

This is what graph D should look like:

[Attached File]

According to the graph of the function, it is found that:

a) h(2) = 1.

b) h(x) = -3 when x = -4.

Looking at the graph, h(2) is given by the value of y when x = 2, that is, the value of the vertical axis when the horizontal axis is of 2. Hence, h(2) = 1.

Looking at the graph, it is given by x when y = -3, that is, the value of the horizontal axis when the vertical axis is of -3, hence, h(x) = -3 when x = -4.

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Answer:

5/2

Step-by-step explanation:

\((m^{2})(m^{?}) = m^{5}\\ m^{2*?} = m^{5}\\m^{2*5/2} = m^{5}\\(m^{2})(m^{5/2}) = m^{5}\)

(i) The dual of the given LP problem can be found by following these steps:

1. For each constraint in the primal problem, create a dual variable. In this case, we have three constraints, so we'll have three dual variables: y1, y2, and y3.
2. The objective function of the dual problem will be the sum of the products of the primal variables and their corresponding dual variables. So, the dual objective function is:
  Maximize w = 3y1 + 2y2 + y3.
3. For each primal variable x, create a constraint in the dual problem with the coefficient of the corresponding dual variable equal to the coefficient of x in the primal objective function. So, the dual constraints are:
  y1 + 2y2 - y3 ≤ -2
  y1 + y2 + y3 ≤ -1
  y1, y2, y3 ≥ 0.

(ii) To find the optimal solution to the dual problem, we need to solve the optimal tableau of the dual problem. From the given information, we know that Row 0 of the optimal tableau is:
  w = 4x1 + e2 + (M-1)a2 + (M+2)a3 = 0.
 
  However, the given information does not provide any details about the values of x1, e2, a2, or a3. Therefore, without this information, we cannot determine the specific optimal solution to the dual problem.

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Answer:

3/8 to 2

Step-by-step explanation: