There are 2 yellow marbles and 9 orange marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a yellow marble? Write your answer as a fraction in simplest form.

Answers

Answer 1
Answer:

Answer:

2 out of 11

Step-by-step explanation:

hope this helps


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Water is being pumped to empty a swimming pool.At 6 a.m , the water level is 150 cm . Every 2 hours , the water level drops by 30 cm. 
what is the earliest time when the pool will be empt ??

A)10 A.M.
B)11 A.M.
C) 4 P.M. 
D) 5 P.M.

Answers

to empty the pool, you need to lower the water level by 150cm. since you can only lower it by 30cm every 2 hours (also same as 15 cm per hour), that means it will take you 10 hours.

150cm*(2 hours)/(30cm) = 150*(1/15) = 150/15 = 10.

6 a.m. + 10 hours = 4 p.m.

So the answer is C.) 4 p.m.

Here is a distribution of six observations, sorted in ascending order:4.7, 9.2, 10.9, 12.3, 16.6, 18.3The mean of this distribution is 12. What is the value of 6 sigma (xi -x with a line over it)

Answers

Answer:

0 is the answer

Step-by-step explanation:

Eliminate the y in the following system of equations. What is the result when you add the two equations?x+y=2
3x-4y=27

A.7x=29
B.x=-23
C.7x=35
D.4x=29

Answers

Final answer:

By manipulating and then adding the given system of equations, we can eliminate the variable 'y', resulting in the equation 7x = 35.

Explanation:

To eliminate the variable y in the given system of equations, we need to manipulate the equations to cancel out the y term. The system of equations is:

x + y = 2

3x - 4y = 27

We can accomplish y-elimination by first multiplying the first equation by 4 to match the coefficient in front of y in the second equation. The equations now are:

4x + 4y = 8

3x - 4y = 27

Now, we can add the two equations together, effectively eliminating the y-variable:

4x + 3x = 8 + 27

7x = 35

Learn more about Elimination Method in System of Equations here:

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Answer:

C

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

What is the length of leg y of the right triangle?A right triangle with hypotenuse 26 and legs 24 and y

10
14
24
26

Answers

b = 10 is the length of leg y of the right triangle.

Length of the hypotenuse

If a and b are the lengths of the legs of a right-angled triangle and c exists the length of the hypotenuse, then the sum of the squares of the lengths of the legs exists equivalent to the square of the length of the hypotenuse.

Then, the formula exists as

a^2+b^2=c^2

By substituting the value of a, b and c, then we get

24^2+b^2=26^2

b exists missing because we only have one leg

Now consider, 24^2=576

26^2=676

576+b^2=676

now we remove 676 by 576=100

and it will be b^2=100

We square root both sides of the equation then we get

b = 10.

Therefore, the correct answer is b = 10.

To learn more about length of the hypotenuse

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The answer is 10 because 24 times 24 is 576 and that plus 100 is 676 and this number squared is 26.  26 is the hypotenuse.

What is (5*3)^2+3 PLEASE need help

Answers

We need to solve this by PEMDAS. P=parenthesis, E=exponents, M=multiplication, D=Division, A=Additions, S=Subtraction. First we solve this problem by solving the inside of the parenthesis, 5*3, which is 15. The next step is E, exponents, we use 15 to the second power to get 225, and then we add 3 to the 225, and the total of this problem is 228.
The correct answer is 228

Carmen has a sign with dimensions 5 ft × 7.5 ft. She wants to reduce it to make a postcard. Postcard sizes are 3.5 in. × 5 in., 4 in. × 6 in., and 4.25 in. × 6 in. Which size postcard should she use? Explain.

Answers

Answer:

The size of the post card she should use is 4 in. × 6 in.

Step-by-step explanation:

The parameters given are;

Dimensions of sign = 5 ft. × 7.5 ft

Hence, the ratio of the side sizes are;

5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;

Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.

The size of the post card she should use is therefore = 4 in. × 6 in.