Internet Viewing A researcher wishes to estimate the average number of minutes per day a person spends on the Internet. How large a sample must she select if she wishes to be 90% confident that the population mean is within 13 minutes of the sample mean? Assume the population standard deviation is 46 minutes. Round your final answer up to the next whole number. The researcher needs a sample of at least people. Work Time Lost due to Accidents At a large company, the Director of Research found that the average work time lost by employees due to accidents was 98 hours per year. She used a random sample of 18 employees. The standard deviation of the sample was 5.2 hours. Estimate the population mean for the number of hours lost due to accidents for the company, using a 99% confidence interval. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to the nearest whole number. Doctoral Student Salaries Full-time Ph.D. students receive an average of $12,837 per year. If the average salaries are normally distributed with a standard deviation of $1500, find the probabilities. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places. Part: 0/2 Part 1 of 2 (a) The student makes more than $17,000. P(X>17,000)-

Answer:

F(x)=-3x-3

Step-by-step explanation:

Answer:

g(4) = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = 4x + 4

g(4) is x = 4

Step 2: Evaluate

Answer:

1.5

Step-by-step explanation:

12(1.5) + 17 = 35

Answer:

Option A

Step-by-step explanation:

\(R = (\frac{V_f-Vi}{V_i} )100\)

where,

\(V_f\) is the final value

\(V_i\) if the initial value

R is the investors rate of return

so,

\(R = (\frac{V_f-Vi}{V_i} )100\\\\R=(\frac{1500-1700}{1700})100 \\\\R=(\frac{-200}{1700})100 \\\\R=-11.8\\\)

so the investors rate of return is -11.8%

Answer:

\(y = {x}^{2} - 8x + 7 \\ a = 1 \: and \: b = - 8 \\ the \: line \: of \: symmetry \: \\ x = \frac{ - b}{2a} = \frac{8}{2} \\ x = 4(line \: of \: symmetry) \\ y = {4}^{2} - 8(4) + 7 \\ = 16 + 32 + 7 = y = 55 \\ vertix \: is \: (4 ,55) \\ y = {0}^{2} - 8(0) + 7 \\ y = 7 \\ 0 = {x}^{2} - 8x + 7 \\ (x - 7)(x - 1) = 0\)

Given:

The angle measure, θ=28°.

Two angles are said to be supplementary angles if the sum of the angles is equal to 180 degrees.

Let a be the measure of the supplement of θ=28°. Then, we can write,

Now, solve the equation for a.

Therefore, the measure of the supplement of the angle measure 28 degrees is 152°.

Answer:

FV= $1,937,719.58

Step-by-step explanation:

Giving the following information:

Quarter deposit= $10,000

Number of periods= 20*4= 80

Interest rate? 0.08/4= 0.02

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= quarter deposit

FV= {10,000*[(1.02^80) - 1]} / 0.02

FV= $1,937,719.58

Answer:

D -6x + 2 = -15

Step-by-step explanation:

-4(3/2 x - 1/2) = -15

-4 × 3/2 x + (-4) × (-1/2) = -15

-6x + 2 = -15

Answer: D -6x + 2 = -15

Answer:

$18.15

Step-by-step explanation:

Answer:

0.0939 as a fraction is 939/10000

Step-by-step explanation:

939 all over 10,000

in 0.0939 the point move

The equation for the given downward parabola is:

 y = -x²+1

What is a parabola?

Any point on a parabola is located at an equal distance from both a fixed point and a fixed straight line. It is a U-shaped plane curve. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. The topic of conic sections includes a parabola, and all of its principles are discussed here. A parabola's general equation is either y = a(x-h)² + k or x = a(y-k)²+ h, where (h,k) signifies the vertex.

The given graph is a downward parabola.

The parabola equations are second-degree equations.

So we can eliminate options 1 and 2.

Now we can substitute the coordinate values and check for the correct equation.

One of the points on the parabola is (2,-3).

Taking equation y = -x²+1

y = -2²+1 = -4+1 = -3

Let us check for one more point.

Taking the point (-1,0).

y = -(-1)²+1 = -1+1 = 0

Therefore the equation for the given downward parabola is:

 y = -x²+1

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Answer:

0.69465837…

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Find the distance between each maximum, which is 13-1=12

In Problem 1, the measure of each marked angle is as follows:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.In Problem 2, the angles indicated by the letters in the given figure are as follows:c = 65º, d = 95º, e = 65º, f = 95º, g = 85º, and h = 85º.

Problem 1:The measures of the marked angles are as follows:(7x + 19)º and (-3x + 5)º are supplementary angles since they are the interior angles on the same side of the transversal "V Vest".

Therefore, we can say: (7x + 19)º + (-3x + 5)º = 180º Simplifying, 7x + 19 - 3x + 5 = 180

Combine like terms and solve for x: 4x + 24 = 180 4x = 180 - 24 4x = 156 x = 39 Now substitute x = 39 in the given expressions and find the value of each angle.

(7x + 19)º = (7 × 39 + 19)º = 292º(-3x + 5)º

= (-3 × 39 + 5)º = -112º(-8x + 30)º = (-8 × 39 + 30)º

= -282º(32 - 2x)º = (32 - 2 × 39)º = -46º(10x - 10)º

= (10 × 39 - 10)º = 380º(2x + 18)º = (2 × 39 + 18)º = 96º(8x + 14)º

= (8 × 39 + 14)º = 326º(12x + 40)º = (12 × 39 + 40)º

= 508º(20x + 10)º = (20 × 39 + 10)º = 790º

Therefore, the measures of the marked angles are:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.Problem 2:The angles indicated by the letters in the given figure are as follows: Angle c: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: c = 65º.Angle d: Vertically opposite angles are equal. Therefore, we can say: d = 95º.

Angle e: Alternate interior angles with respect to the parallel lines n and m are equal. Therefore, we can say: e = 65º.Angle f: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: f = 95º.Angle g: Interior angles on the same side of the transversal are supplementary. Therefore, we can say: g = 180º - 95º = 85º.Angle h: Vertically opposite angles are equal. Therefore, we can say: h = 85º.

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Answer:

Step-by-step explanation:

I think it’s b correct me if I’m wrong

Answer:

I think it is b im pretty sure

The definite integral that represents the area of the region enclosed by the polar curve r = 1 sin θ is ∫[a, b] 1/2 r^2 dθ

To determine the definite integral that represents the area of the region, we integrate the expression 1/2 r^2 with respect to θ over the interval [a, b], where a and b are the limits of the region.

In this case, the polar curve r = 1 sin θ represents a circle with radius 1 centered at the origin. As θ varies from 0 to π, the curve traces half of the circle in the positive direction. To find the area of the region enclosed by this curve, we integrate the expression 1/2 r^2 over this interval.

The expression 1/2 r^2 represents the area of a sector of the circle with radius r and central angle θ. Integrating this expression with respect to θ gives us the total area enclosed by the curve.

By evaluating the definite integral over the interval [a, b], we can find the area of the region enclosed by the polar curve r = 1 sin θ.

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if we flip a coin, we would expect the probability of its landing heads to be the same as its landing tails is referred to as the law of large numbers.

The law of large numbers is a probability and statistics, which defines that as a sample size grows, its mean gets closer to the average of the whole population.

This is due to the sample being more representative of the population as the sample becomes larger.

This is the theorem that describes the result of performing the same experiment a large number of times because the average of the results obtained from a large number of trials is close enough to the expected value.

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Answer:

\({ \sf{ \int 4x \cos(2 - 3x) dx = {4x}^{2} \cos(2 - 3x) + c }}\)

Step-by-step explanation:

From integration by parts:

\({ \boxed{ \bf{ \int u \: \frac{dv}{dx} = uv - \int v \: \frac{du}{dx} }}}\)

let u be cos(2-3x) and let dv/dx be 4x:

\({ \sf{ \frac{du}{dx} = 3 \sin(2 - 3x) }} \\ \\ { \sf{ v = \int 4x = 2 {x}^{2} }}\)

Substitute in formular box:

\({ \sf{ = (2 {x}^{2} \times \cos(2 - 3x)) - \int 2 {x}^{2} .3 \sin(2 - 3x) dx}} \\ = { \sf{2 {x}^{2} ( \cos(2 - 3x) - 3 \int \sin(2 - 3x)dx }} \\ { \sf{ = 2 {x}^{2} ( \cos(2 - 3x) - 3( - \frac{1}{3} \cos(2 - 3x) ) + c}} \\ { \sf{ = {4x}^{2} \cos(2 - 3x) + c}}\)

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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Answer:

B

Step-by-step explanation:

B because it says Valerie is 4 seconds faster than Peter so that should be S-4 but they tell you to find the average which is S-2 so that's your answer.

Hope I got this correct, I haven't done average in a long time.

The number of players the team can bring to the tournament = 19 .

Given : amount raised by team = $1775.50

            rent of bus = $901.50

            budget for meal per player = $46

To find : the number of players the team can bring to the tournament

Equation :

taking bus charge as y - intercept ( since it does not depend on the no . of members riding on it )

taking meal amount as slope ( since it depends on the no . of members a team can bring to the tournament )

Let x be the no . of players a team can bring to the tournament .

Therefore , the equation is :

1775.50 = 46 x + 901.50

874 = 46 x

x = 19

Hence , the number of players the team can bring to the tournament = 19 .

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The maximum annual profit is 1,72,0000

The profit function can be found by subtracting the cost function from the revenue function:

\(P(x) = R(x) - C(x) = (520x - 0.02x^2) - (160x + 100,000) = -0.02x^2 + 360x - 100,000\)

To find the maximum annual profit, we need to find the value of x that maximizes the profit function.

One way to do this is to find the vertex of the parabola given by the profit function.

The x-coordinate of the vertex is given by:

x = -b/2a

where a = -0.02 and b = 360.

Substituting these values, we get:

\(x = -360/(2\times (-0.02)) = 9,000\).

Therefore, the manufacturer should make 9,000 drives to maximize annual profit.

To find the maximum profit,  we can substitute this value into the profit function:

\(P(9,000) = -0.02(9,000)^2 + 360(9,000) - 100,000 = $1,720,000\)

Therefore, the answer is (B) $1,720,000.

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Answer:

Step-by-step explanation:

B

Answer:

The answer would be 30% (although I don't see that as an answer).

Step-by-step explanation:

This is because when you multiply the denominator times a number that makes the denominator 100 and multiply that same number by the numerator you get the percentage of the sample you are looking at on the numerator.

15/50 = (15*2)/(50*2) = 30/100 = 30%

The amount to be paid is more on credit card 2 is more, it must be paid first.

Card 1:

Current balance = $8,312.69

Annual percentage rate APR = 24.16%

Credit limit = $10,000.

Used amount = $10,000 - $8,312.69

Used amount = 1687.31

A = P\((1 + r/n)^{nt}\)

P = $1687.31

r = 24.16% = 0.2416

Take n = 1 and time = 1 year.

A =  1687.31*\((1 + 0.2416/n)^{1*1}\)

A = 1687.31 * 1.2416

A = $2094.96

For Card 2:

Current balance = $1,180.34

APR = 21.15%

Credit limit = $75,00

Used amount = $75,00 - $1,180.34

Used amount = $6319.66

A = 6319.66*\((1 + 0.2115/n)^{1*1}\)

A = 6319.66 * 1.2115

A = $7656.26

As the amount to be paid is more on credit card 2 is more, it must be paid first.

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we have

15!12!(4−1)!

15!12!(3!)=3,758,268,687,305,932,800,000

therefore

the answer is

Answer: -1

Step-by-step explanation:

when looking at a graph, count the distance between 2 points. Divide it by 2 then count that many and you have your answer