A bag contains 8 red marbles, 4 white marbles, and 5 blue marbles. You draw one marble at random. Find P(red and blue) A. 40/17. B. 0. C. 12/17. D. 13/16.

Answers

Answer 1
Answer: Sum of all marbles in the bag is 8+4+5 = 17.
Sum of red and blue marbles is 8+5 = 13.

Now, because you are picking only 1 marble it is impossible for it to be both red and blue. You would need to pick at least 2 marbles to have a chance that one is red and one is blue.

The answer is B. 0
Answer 2
Answer:

If you are drawing only one marble then the probability of getting red and blue simultaneously is zero.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The Sum of all marbles in the bag is

8  +   4  +  5  =   17.

The Sum of red and blue marbles is

8  +  5   =   13.

Now, because you are picking only 1 marble it is impossible for it to be both red and blue. You would need to pick at least 2 marbles to have a chance that one is red and one is blue.

Therefore If you are drawing only one marble then the probability of getting red and blue simultaneously is zero.

To know more about probabilityfollow

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How do you solve 4b^2+8b+7=4 using the quadratic formula

Answers

4b^2+8b+7=4\n4b^2+8b+3=0\n\nx=(-b\pm√(b^2-4ac))/(2a)\n\nx=(-8\pm√(8^2-4\cdot4\cdot3))/(2\cdot4)\nx=(-8\pm√(64-48))/(8)\nx=(-8\pm√(16))/(8)\nx=(-8\pm4)/(8)\nx=(-2\pm1)/(2)\nx=(-1)/(2 )\vee x=(-3)/(2)\nx=-(1)/(2 )\vee x=-(3)/(2)
b= { (-8) ±    Sqrt(8^2)-4(4x(3)  )  } / 2(4)
b={ (-8±)  (Sqrt(16) )  } / 8
b=(-8+4)/8 and b=(-8-4)/8
b= -4/8    and b=-12/8
b=-1/2  and b=-3/2
b={-1/2, -3/2} is the solution.
Click image for formula.
Sqrt means Square Root.

What does an equal sign with a line across it mean?

Answers

it means that it does not equal to that certain amount, which is why they put a line across it 

1. The perimeter of a rectangle is given by the expression below, where l is the length of the rectangle and w is the width.2(l + w)

Find the perimeter of a rectangular window frame with a length of 19 inches and a width of 3 inches.

Answers

2(l+w)
width=3
length=19
 now the easiest thing you can do is this= 19+3+19+3= 44
or you can say 19+3*2=44

Simplify the fraction 4t2-16/8/t-2/6

Answers

The first thing we are going to do in this case is to rewrite the expression:
 4 (t2-4) / 8 / t-2/6
 4 (t-2) (t + 2) / 8 / t-2/6
 We now use the double C:
 24 (t-2) (t + 2) / 8 * (t-2)
 We simplify similar terms:
 24 (t + 2) / 8
 3 (t + 2)
 Answer:
 
The simplified expression is:
 
3 (t + 2)

3 less than the quotient of 20 and x

Answers

The word 'quotient' tells you that the two numbers will be divided. So, the quotient of 20 and x is (20)/(x). The phrase 'less than' means you're taking the first number (3) away from the second number ((20)/(x)). So, 3 less than the quotient of 20 and x is (20)/(x) - 3 .
"3 less than" would be after the quotient of 20 and x."Less than" means subtraction. "quotient" means division .
So,the expression would have to be: (20÷3)-3
In other terms "twenty divided by three minus three." Any questions?

Your mother has left you in charge of the annual family yard sale. Before she leaves you to your entrepreneurial abilities, she explains that she has made the job easy for you: everything costs either $1.50 or $3.50. She asks you to keep track of how many of each type of item is sold, and you make a list, but it gets lost sometime throughout the day. Just before she’s supposed to get home, you realize that all you know is that there were 150 items to start with (your mom counted) and you have 41 items left. Also, you know that you made $227.50. Write a system of equations that you could solve to figure out how many of each type of item you sold.A) x + y = 109
(1.5)x + 227.50 = (3.5)y
B) x + y = 109
(3.5)x + 227.50 = (1.5)y
C) x + y = 41
(1.5)x + 227.50 = (3.5)y
D) x + y = 109
(1.5)x + (3.5)y = 227.50
E) x + y = 150
(1.5)x + (3.5)y = 227.50
F) x + y = $3.50
(1.5)x + (3.5)y = 227.50

Answers

Answer:

D)\ x + y = 109\n(1.5)x + (3.5)y = 227.50

Step-by-step explanation:

Let the items sold with price $1.5 = x

Let the items sold with price $3.5 = y

Initially, total number of items = 150

Items left at the end of the day = 41

So, number of items sold throughout the day = Total number of items - Number of items left

Number of Items sold = 150 - 41 = 109

So, the first equation can be written as:

\bold{x+y = 109} ....... (1)

Now, let us calculate the sales done by each item.

Sales from item with price $1.5 = Number of items sold * price of each item

= (1.5)x

Sales from item with price $3.5 = Number of items sold * price of each item

= (3.5)y

Total sales = \bold{(1.5)x+(3.5)y = 227.50} ....... (2)

So, the correct answer is:

D)\ x + y = 109\n(1.5)x + (3.5)y = 227.50