A probability model includes p(red)=2/7 and P(blue)=3/14. Select all the probabilities that could complete the model.Answer Key:
A: P(green)= 2/7, P(yellow)=2/7
B: P(green)=3/8, P(yellow)=1/8
C: P(green)=1/4 P(yellow)=1/4
D: P(green)= 5/21 Pyellow)= 11/21 E. P(green)= 3/7 P(yellow)=1/14

Answers

Answer 1

Answer:

Answer:

The answer is "Option D".

Step-by-step explanation:

In this question, the shape of the model is not declared that why we assume that it has four sides in which two sides are given that is:

$\to P(red)=(2)/(7) \n\n\to P(blue)=(3)/(14)$

other probabilities are:

$\to P(green)= (5)/(21) \n\n\to P(yellow)= (11)/(21)$

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Solve the system of equations. 6x - 5y = 15X= y + 3

Adams Manufacturing allocates overhead to production on the basis of direct labor costs. At the beginning of the year, Adams estimated total overhead of $396,000; materials of $410,000 and direct labor of $220,000. During the year Adams incurred $418,000 in materials costs, $413,200 in overhead costs and $224,000 in direct labor costs. Compute the predetermined overhead rate.

Answers

Answer:

1.8 times the cost of labor.

Step-by-step explanation:

At the beginning of the year, the rate for overhead was estimated to be ...

(overhead $)/(direct labor $) = $396/$220 = 1.8

The overhead rate is 1.8 times the labor cost.

Round 34.037 to 3 significant figures.
a. 34.04
b. 34
c. 34.037
d. 34.0

Answers

Answer:

My answer to the question is 34.0

Find the value of x 120° (2x-10°

Answers

The answer would be 2x-1

Final answer:

The question appears to involve solving a trigonometry problem for 'x', but since the equation is not complete, a definitive answer can't be provided. A possible solution process has been suggested if the equation was 120° = 2x - 10°.

Explanation:

It appears that the student is asking for help with a trigonometry problem, perhaps regarding the solution of equations involving angles. Given the presence of 'x' and 'degrees', it suggests the need to solve for 'x' in an equation involving degrees.

Unfortunately, the equation seems incomplete: '120° (2x-10°'. The closing parenthesis is missing, which means we can't accurately determine the equation to solve. In general, if the equation was 120° = 2x - 10° for example, the solution process would involve the following steps:

Add 10° on both sides to get 130° = 2x.
Next, divide both sides by 2 to solve for 'x'. Hence, x = 65°.

But without a clear equation to work with, it's not possible to deliver a definitive answer to your question.

Learn more about Trigonometry here:

brainly.com/question/31896723

#SPJ3

Kareem says that the ratio 4 : 1 is equivalent to the ratio 12 : 9 because 4 1 8 5 12 and 1 1 8 5 9. Is Kareem correct? Explain how you know.

Answers

4 : 1 and 12 : 9 are not equivalent

Kareem is wrong

Correct question:

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because

4 + 8 = 12 and 1 + 8 = 9. Is Kareem correct? Explain how you know

4 : 1 is in its simplest form already

12 : 9

= 12/9

= 4/3

= 4 : 3

Therefore,

4 : 1 and 12 : 9 are not equivalent

Kareem is wrong based on his assumption that 4 + 8 = 12 and 1 + 8 = 9

brainly.com/question/17352744

$\bf Step-by-step~explanation:$

Kareem's statement: 4:1 is equal to 12:9. Let's see if this is correct.

$\bf Step ~1:$

We have to simplify the ratios. Since 4:1 is already simplified, we do not have to do anything with it. 12:9 could be simplified. To do so, we need to find the greatest common factor (GCF) of both numbers. The GCF of 12 and 9 is 3. Since 3 is the GCF for both numbers, we divide them by 3.

$\bf 12 /3=4\n9/3=3$

First number: 4

Second number: 3

Ratio: 4:3

$\bf Step~2:$

We compare the ratio 4:3 to 4:1. Since they have different values, they are not equivalent to each other.

$\large\boxed{\bf Our~final~answer: ~Kareem~is~wrong.}$

$\bf {Explanation~in~Step~1}$

Find X and Y please !

Answers

Answer:

So first we need to find y, to do that we make an equation.
3y-12+63=180, first add 63 to -12.
3y+51=180, we move our constant to the right.
3y=180-51, subtract 51 from 180
3y=129, divide both sides by 3.
3y/3=129/3, and your answer is...
y=43

Now to find x, so we know that both the top and bottom lines are the same since they are cut into equal angles by the vertical line. To make this easier let’s do the math knowing that y=43, 3(43)-12=117. This means that the top right angle on the top line equals 177 degrees. And if you invert the angles that means the bottom left angle of the top line equals 177. Now we know what 5x+2 will equal however we still need to find x, before we make an equation we also need to be aware that the top left angle on the top line is also 63 degrees, by inverting that we also know the bottom right angle of the top line equals 63 degrees. So now we make our equation to find x.

5x+2+63=180, first we add 2 to 63.
5x+65=180, then we move our constant to the right.
5x=180-65, subtract 65 from 180.
5x=115, divide both sides by 5.
5x/5=115/5, and your answer is...
x=23

Hope this helped :)

2x-1=y,
2y-4x=7 is the equation are parallel show break down

Answers

y = 2x - 1...slope here is 2 and y int is -1

2y - 4x = 7
2y = 4x + 7
y = (4/2)x + 7/2
y = 2x + 7/2...slope here is 2 and y int is 7/2

When the slopes of the lines are the same, and the y intercepts different...this means they are parallel lines

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