There are 13 yellow cards, 6 blue cards, 10 red cards, and 8 green cards in a stack of cards turned face down. Once a card is selected, it is not replaced. Find each probability.

P(2 blue cards)
P(2 red cards)
P(a yellow card and then a green card)
P(a blue card and then a red card)
P(two cards that are not red)
P(two cards that are neither red nor green)

Answer:

x=54

Step-by-step explanation:

55+54= 109

180-109=71

x+17=71

=54

Answer:

M=m and cis equivalent to d

Answer:

d no.

Step-by-step explanation:

because in my my personal opinion the function shown on the graph has a smaller rate of change, but a higher starting point

Answer:

92.5 cm²

Step-by-step explanation:

Lets take this step by step

Bottom rectangle is 2 by 5, so then 2*5 = 10

Large rectangle is 8 by 9, so 8*9 = 72

The triangle is 7 by 3, you get the 7 by subtracting the 5 side from the square because using the square you can tell that the height is 9 - something.

The 5 you get is from subtracting the cut part that you might have made because the height of that is 2, therefore you cut off 2 from 7 making it 5

Triangle area is h*b / 2, therefore 7*3 = 21/2 = 10.5

Add them all together, 10.5 + 10 + 72 and you get 92.5

Answer:

89.5 cm²

Step-by-step explanation:

Large rectangle

a = 8 * 9 = 72

Small rectangle

a = 2 * 5 = 10

Triangle

The missing portion of the height is 9 - 7 = 2

The total height is 3 + 2 = 5

a = (1/2)(3)(5)

a = 7.5

Total area

a = 72 + 10 + 7.5

a = 89.5 cm²

Answer:

x=3 is one solution

3=3 has infinitely solutions

6=3 has one solutions.

Step-by-step explanation:

I got it correctt on Edg.

Answer: x = 3 one solution

3=3 infinitely many solutions

6=3 no solution

The directional derivative D_u f(0, π/3) is equal to (-9√3/10) + (6/5).

To get the directional derivative of the function f(x, y) = 3(e^x) sin y at the point (0, π/3) in the direction of the vector v = <-6, 8>, follow these steps:       Compute the gradient of the function:
∇f(x, y) = (df/dx, df/dy) = (3(e^x) sin y, 3(e^x) cos y)
Evaluate the gradient at the given point (0, π/3):
∇f(0, π/3) = (3(e^0) sin(π/3), 3(e^0) cos(π/3)) = (3(1)(√3/2), 3(1)(1/2)) = (3√3/2, 3/2)
Normalize the direction vector v:
||v|| = √((-6)^2 + 8^2) = √(36 + 64) = √100 = 10
u = v/||v|| = (-6/10, 8/10) = (-3/5, 4/5)
Compute the directional derivative D_u f(0, π/3) by taking the dot product of the gradient at the given point and the normalized direction vector:
D_u f(0, π/3) = ∇f(0, π/3) · u = (3√3/2, 3/2) · (-3/5, 4/5) = (-3/5)(3√3/2) + (4/5)(3/2) = (-9√3/10) + (6/5)
So, the directional derivative D_u f(0, π/3) is equal to (-9√3/10) + (6/5).

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Answer:

0.125

Step-by-step explanation:

It could be a lot of things, but if you mean the decimal form then it would be 0.125. Just divide 1 by 8.

Answer:

A minor arc

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

To find the median number of musical instruments played, we first need to arrange the data in ascending order:

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3

Next, we count the total number of responses, which is 15. Since 15 is an odd number, the median will be the average of the middle value.

The middle value is 1

Hence, the median number of musical instruments played is 1.

The inequality to determine the number of runs per inning, p Kim's team could have scored is; 4r + 6 > 17

Let r represent the number of runs per inning. Thus for 4 innings, we have 4r.

The team already has 6 runs. Now add the additional runs to this to get;

4r + 6

The team wants to score more than the other team, this means they need more than 17 and so the inequality required is;

4r + 6 > 17

Subtract 6 from each side to get;

4r + 6 - 6 > 17 - 6

4r > 11

Divide both sides by 4 to get:

r > 2.75

Approximating to a whole number gives;

r > 3

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Answer:

6+4p> 17
3

Step-by-step explanation:

The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.

c. Responsible, Accountable, Consult & Inform matrix

The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.

The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.

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Answer:

Option A

Step-by-step explanation:

\(25w+200=750\\\\25w+200-200=750-200\\\\25w=550\\\\\frac{25w=550}{25}\\\\\boxed{w=22}\)

Hope this helps.

Answer:what it is

Step-by-step explanation:

First the top right quart

area = 16, 4 * 4

Then the top left quart

making a 2 by 4 triangle followed with 4 additional square

making 2 * 4 * 1/2 = 4 + 4 meaning area = 8

then the bottom quart

Making a large triangle of 7 by 3

meaning 7 * 3 * 1/2 = 10.5

total area = 16 + 8 + 10.5 = 34.5

Answer:

Markup    66.6666666......%      =      66 2/3 % (66 and 2/3 percent)

Step-by-step explanation:

The difference in prices is $150-$90=$60. So, we need to find what percentage of 90 is 60. We do this by dividing: 60/90=0.6666...., which is 66.666...%. So, the markup is 66.666...%.    =    66 2/3 %

In conclusion, to compute the chi-square value, we need to know the number of categories and use the appropriate formula or table to find the critical value. The degrees of freedom (df) will be equal to the number of categories minus one (df = k-1).

In the given question, we need to compute the chi-square value to determine the upper bound of the interval. The chi-square value depends on the degrees of freedom (df). To calculate it, we need to know the significance level (α) and the number of categories (k).

Since the question does not provide information about the number of categories, we cannot determine the exact degrees of freedom. However, we can assume that the number of categories is given, and proceed accordingly.

Assuming k is the number of categories, the degrees of freedom (df) will be (k-1).

For example, if there are 5 categories, the degrees of freedom will be (5-1) = 4.

The chi-square value is computed using a chi-square distribution table or a calculator. By using the significance level (α) and the degrees of freedom (df), we can determine the critical value.

In conclusion, to compute the chi-square value, we need to know the number of categories and use the appropriate formula or table to find the critical value. The degrees of freedom (df) will be equal to the number of categories minus one (df = k-1).

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The correct option is D, the 2.5% of the sample means falls above 1.053

To determine the value above which 2.5% of the sample means fall, we need to calculate the z-score corresponding to the 2.5th percentile of the standard normal distribution.

The formula for the z-score is given by:

z = (x - μ) / (σ / √n)

Where:

To find the z-score corresponding to the 2.5th percentile, we look up the z-score in the standard normal distribution table or use a calculator. The z-score that corresponds to the 2.5th percentile is approximately -1.96.

Now, we can solve for x using the formula:

-1.96 = (x - 1) / (0.1 / √12)

Multiplying both sides by (0.1 / √12):

-1.96 * (0.1 / √12) = x - 1

Simplifying the left side:

-1.96 * 0.1 / √12 ≈ -0.05385

Adding 1 to both sides:

-0.05385 + 1 ≈ 0.94615

Therefore, the value above which 2.5% of the sample means fall is approximately 0.94615 cm.

None of the provided answer choices match this value exactly. However, the closest option is: D. 1.053

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Answer:

0.43 miles

Step-by-step explanation:

Let t be the time it takes Achilles to run the race. Since Achilles runs at a speed of 13 mph, the distance he covers in time t is d = 13t.

Also, by the time Achilles finishes the race, the turtle has already covered a distance, d at a speed of 1 mph in the same time, t. So, d' = 1t = t

Given that when Achilles reaches the finish line, the turtle is 2/5 of a mile behind him, then d - d' = 2/5.

So, 13t - t = 2/5

12t = 2/5

t = 2/5 × 1/12

t = 1/5 × 1/6

t = 1/30 h

So since d = distance from start to finish = distance Achilles covers = 13t,

Substituting t = 1/30 into d, we have

d = 13t

= 13 × 1/30

= 0.43 miles

Answer:

c

Step-by-step explanation:

x=1 g(x)=-10

x=2 g(x)=-12

x=3 g(x)=-14

f(x)=x+4

=＞ g(x)=-2·(x+4)

Answer:

$53.10

Step-by-step explanation:

Convert 18% to the decimal fraction 0.18.

Then,

multiplyibng the $45 meal cost by 1.18 results in the total bill.   It is

1.18($45) = $53.10

Answer:

Step-by-step explanation:

If point I is on the line segment HJ, then HI+IJ = HJ

Given the parameters

H I = 2 x

H J = 4 x

IJ=4x−10

Substituting the given parameters into the formula;

2x+4x-10 = 4x

6x-10 = 4x

collect like terms

6x-4x = 10

2x = 10

divide both sides b 2;

2x/2 = 10/2

x = 5

Since IJ = 4x-10

Substitute x = 5 into IJ

IJ = 4(5)-10

IJ = 20-10

IJ = 10

Answer:

Step-by-step explanation:

its 10

Answer:

sihhhhjjjjuuuuuuuuuuuuuuii

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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The partial sums are correct are  That is:  (2) and (28/9).

A partial sum would be:

2 + (2/3).

In this case, thus,

Series 1 = 2  - This is correct.

Series 2 = 2 + (2/3) = 8/3 - incorrect

Series 3 = (8/3) + (4/9) = (28/9) Correct

Series 4 = (28/9) + (8/27) = (92/27)

Series 5 = (92/27) + (16/81) = 292/81

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The preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft is approximately $700 million.

To estimate the cost of building a 600-MW fossil-fuel plant, we can use the cost capacity exponent factor and the cost index.

First, let's calculate the cost capacity ratio (CCR) for the 600-MW plant compared to the 200-MW plant:

CCR = (600/200)^0.79

Next, we need to adjust the cost of the 200-MW plant for inflation using the cost index. The cost index ratio (CIR) is given by:

CIR = (current cost index / base cost index)

Using the given information, the base cost index is 400 and the current cost index is 1200. Therefore:

CIR = 1200 / 400 = 3

Now, we can estimate the cost of the 600-MW plant:

Cost of 600-MW plant = Cost of 200-MW plant * CCR * CIR

Using the information provided, the cost of the 200-MW plant is $100 million. Plugging in the values, we have:

Cost of 600-MW plant = $100 million * CCR * CIR

Calculating CCR:

CCR = (600/200)^0.79 ≈ 2.3367

Calculating the cost of the 600-MW plant:

Cost of 600-MW plant = $100 million * 2.3367 * 3

Cost of 600-MW plant ≈ $700 million

Your question is incomplete but most probably your full question was

Suppose that an aircraft manufacturer desires to make a preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of its new long- distance aircraft. It is known that a 200-MW plant cost $100 million 20 years ago when the approximate cost index was 400, and that cost index is now 1,200. The cost capacity exponent factor for a fossil-fuel power plant is 0.79. What is he preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft?

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Answer:

Height = 11 inches

Base = 33 inches

Step-by-step explanation:

In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.

From the question, we are told that height is 1/3 of base. This means that base is 3 times the height

So if we represent the height with variable h, then the base is 3h

Mathematically the area of a parallelogram can be calculated by the formula

A = bh

Thus ,

363 = h * 3h

3h^2 = 363

divide through by 3

h^2 = 121

h = √121

h = 11 inches

since b = 3h , then b = 3 * 11 = 33 inches

The total number of rabbits in the range 9 years from​ 1990 is 4094.

Exponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function’s current value, resulting in its growth with time being an exponential function. In other words, when the growth of a function increases rapidly in relation to the increase in the total number, then it is exponential.

\(A = A_{0} * e^{kt}\) --- (1)

where A is the initial value, \(A_{0}\) is the previous value, k is the exponential constant, and t is the time.

Now, substitute the values to determine the value of 'k'.

160 = 80 * \(e^{k*1}\)

2 = \(e^{k}\)

ln2 = k

k = 0.6931

Now, at t = 9 the expression (1) becomes:

\(A = 80 * e^{0.6931*9}\)

A = 4094 rabbits

Thus, the total number of rabbits in the range 9 years from​ 1990 is 4094.

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The systems of inequalities that must be true is \(363b + 6c > = 1,500,000.\)The correct is D

The system of inequalities that must be true if b is the number of beams and c is the number of connector plates is \($\mathbf{D. 363b + 6c \geq 1,500,000}$ and $\mathbf{2b \geq c}$.\)Explanation:Let's find out the weight of one beam and one connector plate:

Weight of one beam = 363 kgWeight of one connector plate = 6 kgLet's represent the number of beams by b and the number of connector plates by c.Each beam weighs 363 kg, and each connector plate weighs 6 kg.There must be at least 2 connector plates for each beam.

Using the above information, we can represent the total weight of the steel pieces by:Total weight of steel pieces = (Weight of each beam) × (Number of beams) + (Weight of each connector plate) × (Number of connector plates)Inequality:

(Weight of each beam) × (Number of beams) + (Weight of each connector plate) × (Number of connector plates) < 1,500,000 kg (Given)Substituting the values:Number of beams = bWeight of each beam = 363 kgNumber of connector plates = cWeight of each connector plate = 6 kgThen, we get:\($$363b + 6c < 1,500,000$$\)

Since there must be at least 2 connector plates for each beam, we can write another inequality as:\($$c \geq 2b$$\) Simplifying, we get:\($$2b \leq c$$\) Combining these two inequalities, we get the required system of inequalities as:\($$\boxed{363b + 6c \geq 1,500,000 \text{ and } 2b \geq c}$$\) Hence, option D is the correct answer.

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