Help plss I’m on a timer

The probability that a randomly chosen internet user is a college graduate is about 0.61, and the probability that a California adult is an internet user, given that he or she is a college graduate, is about 0.76.

Let A be the event that a California adult is a college graduate, and B be the event that a California adult is a regular internet user.

a. We want to find P(A|B), the probability that a randomly chosen internet user is a college graduate. We can use Bayes' theorem:

P(A|B) = P(B|A) * P(A) / P(B)

where P(B|A) is the probability that an college graduate is an internet user, which is given by P(B|A) = P(A and B) / P(A) = 0.19 / 0.25 = 0.76.

P(B) is the probability of being an internet user, which is given by:

P(B) = P(B and A) + P(B and not A) = 0.19 + 0.12 = 0.31

where P(B and not A) is the probability of being an internet user but not a college graduate, which is equal to P(B) - P(A and B) = 0.31 - 0.19 = 0.12.

Therefore, we have:

P(A|B) = 0.76 * 0.25 / 0.31 ≈ 0.61

b. We want to find P(B|A), the probability that a California adult is an internet user, given that he or she is a college graduate. Again, we can use Bayes' theorem:

P(B|A) = P(A|B) * P(B) / P(A)

where P(A) is the probability of being a college graduate, which is given by P(A) = 0.25.

We already know P(A|B) from part (a), and P(B) from the previous calculation.

Therefore, we have:

P(B|A) = 0.61 * 0.31 / 0.25 ≈ 0.76

So the probability that a randomly chosen internet user is a college graduate is about 0.61, and the probability that a California adult is an internet user, given that he or she is a college graduate, is about 0.76.

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Answer:

$96.

Step-by-step explanation:

5/6  costs 80

Multiply both parts by 6/5:

5/6 * 6/5 ( = 1 ) costs 80 * 6/5

= 16 * 6

= $96.

Answer:

only one triangle can be formed ...

a. The standard error of the mean for n = 25 is 3 cm

b.  The standard error of the mean for n = 100 is 1.5 cm.

Agronomist measured the height of n corn plants. If the mean height is 220 cm and the standard deviation is 15 cm, then we can calculate the standard error of the mean for n = 25 and n = 100 as shown below -

(a) For n = 25:

    If n = 25, then the formula for calculating the standard error of the mean is as follows -

    Standard Error of the Mean = (Standard Deviation / √n)

    Given,

    Standard deviation (σ) = 15 cm

    Number of samples (n) = 25 cm

    We can calculate the standard error of the mean as follows -

    Standard Error of the Mean = (Standard Deviation / √n)

                                                   = (15 / √25)

                                                   = 3

    Hence, the standard error of the mean for n = 25 is 3 cm.

(b) For n = 100:

    If n = 100, then the formula for calculating the standard error of the mean is as follows -

    Standard Error of the Mean = (Standard Deviation / √n)

    Given,

    Standard deviation (σ) = 15 cm

    Number of samples (n) = 100 cm

    We can calculate the standard error of the mean as follows -

    Standard Error of the Mean = (Standard Deviation / √n)

                                                   = (15 / √100)

                                                   = 1.5

    Hence, the standard error of the mean for n = 100 is 1.5 cm.

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Answer:

The height of the drawing should be: 8.5 cm

Step-by-step explanation:

Use the proportion given by the scale in order to find the height "h" that you need to draw:

\(\frac{30}{1} =\frac{255}{h} \\30=\frac{255}{h}\\30\,h=255\\h=\frac{255}{30}\\ h=8.5\,\,cm\)

Answer:

40

Step-by-step explanation:

The volume of a cylinder is = to \(\pi\)\(r^{2}\)h, so plug in the values and you get that each crayon has a volume of about 0.15 inches. 6/0.15 = 40. :)

Answer:

Step-by-step explanation:

To the 4th power means that all the items in the parenthesis is mulitplied 4 times

(9m)⁴

=9*9*9*9*m*m*m*m*m  or

= (9m)(9m)(9m)(9m)

The radius of Deimos to one significant digit in meters is approximately 9.4 m

.

Given the ratio of the Sun-from-Mars distance to Deimos-from-Mars distance is 365,000, the distance between Mars and Deimos can be found to bedeimos distance = Sun-Mars distance / 365,000

Next, we can find the diameter of Deimos by noting that 550 of its diameters is equal to the distance it takes to transit the shadow of Mars during a lunar eclipse.

Let's call the diameter of Deimos "d", so we can

diameter = 1/550 * deimos distance

Finally, the Sun appears about 8.4 times as large as Deimos in the Martian sky. If we call the radius of Deimos "r", then the radius of the Sun is 8.4r.

Using the information given, we can set up the following equation:

deimos distance / (3,000,000 + r) = 8.4r / (3,000,000)Simplifying and solving for r,

we get:r = 9.39 m (rounded to one significant digit)

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The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Answer:

F

Step-by-step explanation:

the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th

Answer:

A)

Line 1 slope = 3

Line 2 slope = 3

Line 3 slope = 3/-9

B)

Line 1 and 2 are parallel

Line 1 and 3 are Perpendicular

Line 2 and 3 are Perpendicular

Step-by-step explanation:

Use the formula \(\frac{y2-y1}{x2-x1}\)

Line 1, we do  \(\frac{(4)-(-2)}{(-1)-(-3)}\) = \(\frac{6}{2}\) = \(3\)

Line 2, we do \(\frac{(1)-(-2)}{(0)-(-1)} =\frac{1+2}{1} =\frac{3}{1} = 3\)

Line 3, we do  \(\frac{(-3)-(-6)}{(-6)-(3)} = \frac{-3+6}{-6-3} = \frac{3}{-9}\)

now put the lines into point slope formula to get the line. : y-y1 = m (x-x1)

line 1 is   y-4 = 3 (x+1)

line 2 is  y-1 = 3 (x+0)

line 3 is  y+3 = -3/9(x+6)

this is what the graphs look like

red is line 1

green is line 2

black is line 3

Answer:

b) 55 and 43

Step-by-step explanation:

I can tell by the first 3 or so numbers that the sequence is decreasing by 6 each time, so when you go from 61- blank - 49 it has to be 55 and same with the other one.

The artificial variables is x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, A1 ≥ 0, A2 ≥ 0

To reformulate the given problem as a convenient artificial problem for preparing to apply the simplex method, we introduce artificial variables. The steps to reformulate the problem are as follows:

1. Introduce the artificial variables. For each inequality constraint, introduce an artificial variable by subtracting a slack variable from the left-hand side of the inequality.

The problem can be reformulated as follows:

Minimize Z = 2x1 + x2 + 3x3

subject to:

5x1 + 2x2 + 7x3 + A1 = 420    (Equation 1)

3x1 + 2x2 + 5x3 + A2 = 280    (Equation 2)

where A1 and A2 are the artificial variables.

2. Rewrite the problem with the added artificial variables. The reformulated problem becomes:

Minimize Z = 2x1 + x2 + 3x3 + 0A1 + 0A2

subject to:

5x1 + 2x2 + 7x3 + A1 = 420    (Equation 1)

3x1 + 2x2 + 5x3 + A2 = 280    (Equation 2)

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0, A1 ≥ 0, A2 ≥ 0

By introducing the artificial variables, we have transformed the original problem into a convenient artificial problem that can be solved using the simplex method.

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The complete question is:

Consider the following problem.

Minimize

Z = 2x_{1} + x_{2} + 3x_{3}

x_{3} >= 0

subject to

5x_{1} + 2x_{2} + 7x_{3} = 420

3x_{1} + 2x_{2} + 5x_{3} >= 280

and

x_{1} >= 0

x_{2} >= 0

Introduce artificial variables to reformulate this problem as a convenient artificial problem for preparing to apply the simplex method.

answer: u = 47

step by step explanation:

Answer:

I did this question the other day, I think it is right, but I'm not 100% sure. Let me know if it is helpful

Step-by-step explanation:

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Step-by-step explanation:

hope this will help you if it really help you mark me as brinalist friend please

a. the current IRR on this project is approximately 7.49%.

b. The current MARR (Minimum Acceptable Rate of Return) is not given in the question. Please provide the MARR value so that we can calculate it.

c. The answer to whether they should invest or not depends on the comparison between the IRR and the MARR. Once the MARR value is provided, we can compare it with the calculated IRR to determine if they should invest.

a. The current IRR (Internal Rate of Return) on this project can be found by using linear interpolation with x₁ = 7% and x₂ = 8%. Let's calculate it:

We have the following cash flows: Year 0: -150,000 Year 1: 60,000 Year 2: 75,000 Year 3: 90,000 Year 4: 105,000

Using x₁ = 7%: NPV₁ = -150,000 + 60,000/(1+0.07) + 75,000/(1+0.07)² + 90,000/(1+0.07)³ + 105,000/(1+0.07)⁴ ≈ 2,460.03

Using x₂ = 8%: NPV₂ = -150,000 + 60,000/(1+0.08) + 75,000/(1+0.08)² + 90,000/(1+0.08)³ + 105,000/(1+0.08)⁴ ≈ -8,423.86

Now we can use linear interpolation to find the IRR:

IRR = x₁ + ((x₂ - x₁) * NPV₁) / (NPV₁ - NPV₂) = 7% + ((8% - 7%) * 2,460.03) / (2,460.03 - (-8,423.86)) ≈ 7.49%

Therefore, the current IRR on this project is approximately 7.49%.

b. The current MARR (Minimum Acceptable Rate of Return) is not given in the question. Please provide the MARR value so that we can calculate it.

c. The answer to whether they should invest or not depends on the comparison between the IRR and the MARR. Once the MARR value is provided, we can compare it with the calculated IRR to determine if they should invest.

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Answer:

20

Step-by-step explanation:

use pythagorean theorem:

\(12^{2}\) + \(16^{2}\) = \(c^{2}\)

144 + 256 = \(c^{2}\)

400 = \(c^{2}\)

\(\sqrt[ ]{400}\) = c

20 = c

Answer:

or, 1/2(8p+6)=3p+1

or,8p+6=6p+2

or,2p= -4

or,p = -2

Therefore, 4p = 4×(-2)= -8

Answer:

b

Step-by-step explanation:

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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To find the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0, we first need to find the characteristic equation by assuming that y = e^(rt), where r is a constant. Substituting this into the differential equation, we get r^3 - 6r^2 - 7r = 0.

Factoring this, we get r(r - 7)(r + 1) = 0. So the roots of the characteristic equation are r1 = 0, r2 = 7, and r3 = -1.

Therefore, the general solution of the differential equation is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants that can be determined using initial or boundary conditions.

In summary, the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0 is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants.

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The game to be fair, the player should win 60.

In order to determine the fair winnings for this game, we need to calculate the probability of winning and then set it equal to the cost of playing the game.
Step 1: Calculate the probability of winning.
There are two scenarios for winning:
1. First roll is even, and the second roll matches the first.
2. The probability of rolling an even number on a six-sided die is 3/6 or 1/2, since there are three even numbers (2, 4, and 6).
Step 2: Calculate the probability of the second roll matching the first roll.
Since there are 6 sides to the die, the probability of the second roll matching the first is 1/6.
Step 3: Calculate the combined probability of both events.
To find the combined probability of both events, multiply the probabilities: (1/2) × (1/6) = 1/12. So the probability of winning is 1/12.
Step 4: Set up an equation to determine fair winnings.
Let x be the fair winnings for the game. The cost of playing the game is $5. In order for the game to be fair, the expected value (probability of winning multiplied by the winnings) should equal the cost of playing the game:
(1/12) × x = 5
Step 5: Solve the equation for x.
To solve for x, multiply both sides of the equation by 12:
x = 5 × 12
x = 60
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The correct answer is A. The selling price of a bond is affected by the coupon rate and the market interest rate.

If the coupon rate is less than the market interest rate, investors will not be interested in buying the bond because they can get a higher return elsewhere. This results in the selling price of the bond being less than its face value of $10,000.
The selling price of a $10,000 5-year bond will be less than $10,000 if the:
A. Coupon rate is less than the market interest rate

This is because when the coupon rate (the interest paid by the bond) is lower than the market interest rate, investors would prefer to invest in other options that offer a higher return. Therefore, to attract buyers, the bond's selling price would be discounted to compensate for the lower coupon rate.

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Answer: (-1,7)

Step-by-step explanation:

If the function f(g(x)) = x passes through (7, -1). then the function g(f(x)) = x passes through (-1, 7).

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The graph of function f passes through (7,-1). Function g satisfies f(g(x)) = x and g(f(x)) = x for all real numbers.

At x = -1, we have the function f

\(f(7) = -1\)

The function g is an inverse of function f.

\(g(-1) = 7\)

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Answer:

-1x -3

Step-by-step explanation:

(3x+4)+(-4x-7)

3x + 4 -4x -7

3x - 4x +4 -7

-1x -3

The game with 8 minutes of time-outs is 98 minutes long.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division.

In this case, the algebraic expression that represents the length of the soccer game would be:

m = 90 + x

where m represents the total length of the game in minutes, 90 represents the fixed length of the game, and x represents the variable length of time-outs in minutes.

To find the length of the game with 8 minutes of time-outs, we substitute x = 8 into the expression:

m = 90 + 8 = 98

Therefore, the game with 8 minutes of time-outs is 98 minutes long.

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