A. Positive<br> B. Negative<br> C zero<br> D. Unidentified

An urn contains 2 red marbles and 3 blue marbles. 1. One person takes two marbles at random from the urn and does not replace th

Strike441 [17]

<h2>Answer with explanation:</h2>

Given : An urn contains 2 red marbles and 3 blue marbles.

Total marbles = 2+3=5

a) The general ways in which the person could get a red marble and a blue marble are :

1) He draws red marble first and then second marble as blue.

2) He draws blue marble first marble and then second marble as red.

b) The number of ways to get one red and one blue marble is given by :-

$^2C_1\times^3C_1=2\times3=6$ (i)

c) Number of ways to get 2 marbles from 5 is given by :-

$^5C_2=\dfrac{5!}{2!(5-2)!}=\dfrac{5\times4\times3!}{3!\times2}=10$ (ii)

Now, The probability the person gets a red and a blue marble will be :-

$P(R\ \&B)=\dfrac{6}{10}=0.6$ [Divide (i) by (ii)]

Hence, the probability the person gets a red and a blue marble= 0.6

5 0

4 years ago

Monique made several batches of soup for a potluck supper. Each batch required 3\4 0f a pound of potatoes, and she used a total

eimsori [14]

Answer:

$The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.$

$The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).$

Step-by-step explanation:

As given

$Monique\ made\ several\ batches\ of\ soup\ for\ a\ potluck\ supper.$

$Each\ batch\ required\ \frac{3}{4}\ of\ a\ pound\ of\ potatoes.$

$she\ used\ a\ total\ of\ 6 \frac{1}{2}\ pounds\ of\ potatoes.$

As given the expression.

$= \frac{6 \frac{1}{2}}{\frac{3}{4}}$

$= \frac{\frac{13}{2}}{\frac{3}{4}}$

Solving the above

$= \frac{13\times 4}{2\times 3}$

$= \frac{26}{3}$

In the decimal form.

= 8.67 (Approx)

$Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.$

$Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ 8.67 (Approx).$

6 0

3 years ago

You would like to give your daughter $75,000 towards her college education 17 years from now. how much money must you set aside

garri49 [273]

The formula is
A=p (1+r)^t
A future value 75000
p present value?
R interest rate 0.08
T time 17 years
Solve the formula for p
P=A ÷ (1+r)^t
P=75,000÷(1+0.08)^(17)
P=20,270.17

4 0

4 years ago

analyze this situation and determine how much cookie dough is "wasted" when 3-inch cookies are cut. then have each team member c

Cerrena [4.2K]

Answer:

The result is the same.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Given the information:

square 12 inches wide
3-inch diameter cookies are cut => its radius is: 1.5 inches

Hence we can find some information:

The area of the square is: $12^{2} = 144$ square inches
The area of a cookies is: $r^{2}$ π = 3.14* $1.5^{2}$ = 7.065 square inches
The total number of 3-inch cookies are: 4*4 =16

=> The total area of the cookies is: 16* 7.065 = 113.04 square inches

=> how much cookie dough is "wasted" when 3-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96 square inches

If the diameter is increased to 4 inches => its radius: 2 inches, we have:

The area of a cookies is: $r^{2}$ π = $2^{2} *3.14 = 12.56$ square inches
The total number of 3-inch cookies are: 3*3 =9

=> The total area of the cookies is: 9* 12.56 = 113.04 square inches

=> how much cookie dough is "wasted" when 4-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96 square inches

The result is the same.

8 0

3 years ago

49 The list shows the number of songs that five students each downloaded last week.

scoundrel [369]

The correct answer is C.

7 0

4 years ago

A. Positive B. Negative C zero D. Unidentified