A bag contains 5 blue marbles and 6 yellow marbles. A marble is drawn and dropped back into the bag. Another marble is drawn and dropped back into the bag. What is the probability that both marbles drawn were blue?

Answer:

This three-dimensional shape can be created by rotating a rectangle about its base. Another two-dimensional shape that can give this shape is a trapezoid rotated about a line joining two opposite vertices.

(a little confusing but I hope I helped!)

This three-dimensional shape is a cone.

The cartesian coordinate plane is an infinite 2 dimensional plane. Any 2 dimensional figure can be drawn on an infinite 2d plane. Each of the point of a cartesian plane is tracked by a location.

It is the perpendicular distance of that point from the horizontal axis and vertical axis, usually named x-axis and y-axis. The location is then written as: (a,b), where 'a' is that point's shortest distance from the y-axis and called x-coordinate of that point, and 'b' is that point's shortest distance from the x-axis, and called y-coordinate of that point.

We are given that;

A 3D shape can be created by rotating about its base

Now,

It can be created by rotating a right triangle about its base. Another two-dimensional shape that can give this shape is a circle rotated about a line joining two opposite points on its circumference.

Therefore, by locating points the answer will be cone.

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Answer:

21

Step-by-step explanation:

:)))

Answer

x= 12

Step-by-step explanation:

alternate angles right?

9x + 23 = 11x - 1

24 = 2x

x = 12

so the angle is

(11 × 12) -1

132-1

131°

Answer:

D

Step-by-step explanation: if you see the weight times length and calulated it you'll get 64 or 84

Answer:

Option B.\(5\sqrt{21}\)

Step-by-step explanation:

(x)^2=(CD)(CA)

=(21)(21+4)

=21 × 25

x=√21×25

x=5√21

hope it helps :)

Answer:

it's going to be c

Step-by-step explanation:

set a is an exponential function and the values increase at a faster rate than set B

a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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Answer:

A

Step-by-step explanation:

The cost C (in dollars) for ordering and storing x units is C = 4x + 100,000 x. We can calculate it in the following manner.

The minimum cost of the order size can be obtained by differentiating the given expression of the cost C (in dollars) with respect to x and equating it to 0.

So, we have C(x) = 4x + 100,000/x

Differentiating both sides with respect to x, we get: C′(x) = 4 - 100,000/x²C′(x) = 0 for minimum C(x)∴ 4 - 100,000/x² = 0

Thus, we have x² = 100,000/4= 25,000

Order size x = ± 25,000

Taking positive value for the order size, we get:x = 25000

Therefore, the order size that will produce a minimum cost is 25,000. Answer: 25,000.
To find the minimum cost, we need to minimize the function C(x) = 4x + 100,000/x. To do this, we will find the critical points by taking the derivative of the function and setting it to zero.

dC/dx = 4 - 100,000/x^2

Now, set dC/dx = 0:

4 - 100,000/x^2 = 0

Add 100,000/x^2 to both sides:

4 = 100,000/x^2

Now, multiply both sides by x^2:

4x^2 = 100,000

Divide both sides by 4:

x^2 = 25,000

Take the square root of both sides:

x = sqrt(25,000)

x ≈ 158.11

Since we need to round to the nearest whole number, the order size that will produce a minimum cost is 158 units.

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Answer:

22666.02986

Step-by-step explanation:

The estimated population of Frankfort, KY in 2040 using the arithmetic growth approximation is approximately 34,752.

To estimate the population of Frankfort, KY after 20 years of arithmetic growth, we need to calculate the average annual growth rate first. We can use the formula:

Average Annual Growth Rate = (Ending Population - Starting Population) / (Number of Years)

Using the provided population data, we can calculate the average annual growth rate:

Average Annual Growth Rate = (28,602 - 25,527) / (2020 - 2010)

= 3,075 / 10

= 307.5

Now, we can use the arithmetic growth approximation formula to estimate the population in 2040:

Estimated Population in 2040 = Starting Population + (Average Annual Growth Rate ×Number of Years)

Estimated Population in 2040 = 28,602 + (307.5 × 20)

= 28,602 + 6,150

= 34,752

Therefore, the estimated population of Frankfort, KY in 2040 using the arithmetic growth approximation is approximately 34,752.

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To compute the value of the test statistic, we can use the formula for the two-sample t-test. The formula for the test statistic is given by:

\(t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))\)

Where:

x1 = mean pulse rate for smokers

x2 = mean pulse rate for non-smokers

s1 = standard deviation of pulse rates for smokers

s2 = standard deviation of pulse rates for non-smokers

n1 = sample size of smokers

n2 = sample size of non-smokers

Given:

x1 = 84

x2 = 81

s1 = 9

s2 = 6

n1 = 73

n2 = 57

Substituting these values into the formula, we get:

\(t = (84 - 81) / sqrt((9^2 / 73) + (6^2 / 57))\)

Calculating this expression:

t = 3 / sqrt((81 / 73) + (36 / 57))

t ≈ 3 / sqrt(1.10958904 + 0.63157895)

t ≈ 3 / sqrt(1.74116899)

t ≈ 3 / 1.31822555

t ≈ 2.27306724

Rounding the test statistic to two decimal places, we have:

t ≈ 2.27

Therefore, the value of the test statistic is approximately 2.27.

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Answer:

A holiday store is having a sale on bows and rolls of wrapping paper. One sign in the store states, "Buy 1 bow and 1 roll of wrapping paper for only $6.00." A second sign in the store states, "5 bows and 1 roll of wrapping paper will only cost $10.00."

Answer:

24r

Step-by-step explanation:

2(7r + 5r)

Combine 7r and 5r to get 12r.

2 × 12r

Multiply 2 and 12 to get 24.

24r

Answer:

24r

Step-by-step explanation:

2 times 7r = 14r

2 times 5r = 10r

14r + 10r = 24r

0.3814 is the probability that the sample contains two white balls and two red ones .

What is probability in math?

Total number of balls = 8 + 12 = 20

Total number of elementary cases

           = ( 20 4 )

Total number of favourable cases

           = ( 8 2 ) * ( 12 2 )

Required probability

   = ( 8 2 )  *  ( 12 2 )/( 20  4 )

 = 0.3814

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The solution to the system of equations is x = 8/3 and y = 41/43.

To find the solution for the given system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Given equations:

3x + 2y = 22 ---(1)

-x + 15y = 21 ---(2)

To eliminate one variable, we can multiply equation (2) by 3 and equation (1) by -1, then add the resulting equations:

-3x + 45y = 63 ---(3) (multiplying equation (2) by 3)

-3x - 2y = -22 ---(4) (multiplying equation (1) by -1)

Adding equations (3) and (4) eliminates the x variable:

43y = 41

Dividing both sides by 43 gives us:

y = 41/43

Now we can substitute this value of y into either equation (1) or (2). Let's use equation (1):

3x + 2(41/43) = 22

Multiplying both sides by 43 to eliminate the fraction:

129x + 82 = 946

Subtracting 82 from both sides:

129x = 864

Dividing both sides by 129:

x = 864/129

Simplifying:

x = 8/3

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Sampling techniques are particularly important in quantitative research studies. In these studies, researchers aim to collect data from a subset of individuals or entities (the sample) to make inferences about a larger population.

Sampling techniques help researchers select participants from the population in an unbiased and systematic manner. By using appropriate sampling methods such as random sampling, stratified sampling, or cluster sampling, researchers can minimize sampling errors and increase the likelihood that the sample represents the characteristics of the population accurately.

By employing sound sampling techniques, researchers can enhance the external validity of their findings, allowing them to make meaningful and reliable generalizations about the larger population.

This is particularly crucial in fields such as public health, social sciences, market research, and opinion polling, where the goal is to draw valid conclusions about the broader target audience based on a representative sample.

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Answer:

∠ BCA = 45°, ∠ AWD = 90°

Step-by-step explanation:

All angles are right angles by definition.

Diagonals bisect the angles , so

∠ BCA = 45°

Diagonals are perpendicular bisectors of each other, so

∠ AWD = 90°

9514 1404 393

Answer:

  (3) y + 1 = -1/2(x + 6)

Step-by-step explanation:

The slope of the line between the two points can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -1)/(6 -2) = -2/4 = -1/2

Then the point-slope form of the equation of the line through the given points can be written as either of ...

  y -1 = -1/2(x -2)

  y +1 = -1/2(x -6)

We note that only choices (2) and (3) have slopes of -1/2, so are parallel. Choice (2) matches the first equation above, so is the identical line, not one that is parallel.

Choice (3) matches neither of the equations of the line through the given point, so that is the choice of interest.

Answer:

it looks great! i'd give you an a+

honestly I couldn't make that

Answer:

Step-by-step explanation:

r = 50

Circumference = 2πr

                          \(= 2 * 3.14 * 50\\\\= 314 \ ft\)

Answer:

I. 168

Step-by-step explanation:

Break the shapes down and get the area of each of them individually then add them together

The equation of a circle is given by the following general structure:

When solving the perfect squares we have:

When looking at the given expression, we can observe that -18x and 12y are the equivalents for -2hx and -2ky. We can use this information to find h and k which are the coordinates of the center of the circle:

It means that the center of the circle is located at (9,-6).

To determine the radius of the circle, we have to take into account that 92 is the equivalent for h^2+k^2-r^2. Use this information to find r which is the radius of the circle:

It means that the radius of the circle is 5.

Answer:

Less than

Step-by-step explanation:

Just divided 405.6 by 0.8

and it gives you 507

Answer:

x = 9

Step-by-step explanation:

2x + 1 = 19 ( subtract 1 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Answer: y=-2x-19

y intercept: -19

slope: -2

Steps:

2x+y=19 Write it down

-y=2x+19 Subtract y from both sides (To move the y)

y=-2x-19 Switch y to positive

Hope this helps

Answer:

Car 1

Step-by-step explanation:

Answer: Car 1

Step-by-step explanation:

Notice that the speed of each car is the slope of the line that represents its average speed.

Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:

256/4 = 64

Therefore the average speed of Car 1 is 64 mi/h.

 Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.

Therefore the average speed of Car 2 is 55 mi/h.

Answer: Car 1.

a) The 90% confidence interval for the average salary of an entry-level computer engineer is of: (16.28, 83.72).

b) The sample contains the value 80, hence it does not give sufficient evidence that the average salary of all entry-level computer engineers is different from $80,000.

c) The 90% confidence interval for the standard deviation of entry level salaries is of: (6.67, 389.86).

The bounds of the confidence interval are given according to the following rule:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

The sample in this problem is given as follows:

30, 50, 70.

Hence the values of the parameters are given as follows:

\(\overline{x} = 50, s = 20, n = 3\)

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 3 - 1 = 2 df, is t = 2.92.

Then the lower bound of the interval is of:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 50 - 2.92\frac{20}{\sqrt{3}} = 16.28\)

The upper bound of the interval is of:

\(\overline{x} + t\frac{s}{\sqrt{n}} = 50 + 2.92\frac{20}{\sqrt{3}} = 83.72\)

The bounds of the confidence interval for the standard deviation are given as follows:

\(\frac{(n - 1)s^2}{\chi^2_\frac{\alpha}{2}} \leq \sigma \leq \frac{(n - 1)s^2}{\chi^2_{1 - \frac{\alpha}{2}}}\)

The critical values of the chi-square distribution with a confidence level of 90% and 2 df are given as follows:

\(\chi^2 = 0.1026, \chi^2 = 5.9915\)

Hence the lower bound of the interval is of:

2 x 20/5.9915 = 6.67.

The upper bound of the interval is of:

2 x 20/0.1026 = 389.86.

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Answer:

  54 cubic inches

Step-by-step explanation:

Just as the area of a triangle is half the area of a rectangle with the same dimensions, the volume of a triangular prism is half the volume of a rectangular prism with the same dimensions:

  V = 1/2(LWH)

  V = (1/2)(9 in)(4 in)(3 in) = 54 in³

The volume of Phil's block of cheese is 54 in³.

Answer:

She makes 30 portions.

Step-by-step explanation:

To find, you would multiply the amount of tuna you need by the number of onions nicole used.

6/5x2 = 12/5

12/5 ÷ 2/5 = 6

6x5 = 30

She makes 30 portions.