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Vladimir [108]
3 years ago
11

A student cost for last semester at her community college was $2900. She spent $464 of that on books. What percent of last semes

ter’s college costs was spent on books
Mathematics
1 answer:
irga5000 [103]3 years ago
5 0

Answer: 14%

Step-by-step explanation:

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Suppose we have three urns, namely, A B and C. A has 3 black balls and 7 white balls. B has 7 black balls and 13 white balls. C
professor190 [17]

Answer:

a. 11/25

b. 11/25

Step-by-step explanation:

We proceed as follows;

From the question, we have the following information;

Three urns A, B and C contains ( 3 black balls 7 white balls), (7 black balls and 13 white balls) and (12 black balls and 8 white balls) respectively.

Now,

Since events of choosing urn A, B and C are denoted by Ai , i=1, 2, 3

Then , P(A1 + P(A2) +P(A3) =1 ....(1)

And P(A1):P(A2):P(A3) = 1: 2: 2 (given) ....(2)

Let P(A1) = x, then using equation (2)

P(A2) = 2x and P(A3) = 2x

(from the ratio given in the question)

Substituting these values in equation (1), we get

x+ 2x + 2x =1

Or 5x =1

Or x =1/5

So, P(A1) =x =1/5 , ....(3)

P(A2) = 2x= 2/5 and ....(4)

P(A3) = 2x= 2/5 ...(5)

Also urns A, B and C has total balls = 10, 20 , 20 respectively.

Now, if we choose one urn and then pick up 2 balls randomly then;

(a) Probability that the first ball is black

=P(A1)×P(Back ball from urn A) +P(A2)×P(Black ball from urn B) + P(A3)×P(Black ball from urn C)

= (1/5)×(3/10) + (2/5)×(7/20) + (2/5)×(12/20)

= (3/50) + (7/50) + (12/50)

=22/50

=11/25

(b) The Probability that the first ball is black given that the second ball is white is same as the probability that first ball is black (11/25). This is because the event of picking of first ball is independent of the event of picking of second ball.

Although the event picking of the second ball is dependent on the event of picking the first ball.

Hence, probability that the first ball is black given that the second ball is white is 11/25

​​

8 0
2 years ago
Please help im very stuck
liraira [26]

Answer:

The answer is D!!!

Step-by-step explanation:

In the attachment!

I plugged in that equation into a graphing calculator and got this....

since it's also a (<, >) sin, we know that it's dotted.....

Hope this helps!

6 0
3 years ago
Toby can but T-shirts in packs of 5 for 13.00 or in packs of 2 for 7.22. How much money does he save by buying 30 T-shirts at th
Helen [10]

Toby saves 30.30 money by buying 30 T-shirts at better price.

Step-by-step explanation:

Cost of pack of 5 T-shirts = 13.00 money.

Cost of pack of 2 T-shirts = 7.22 money.

Toby wants to buy total T-shirts = 30 T-shirts.

<u>Case 1 </u>:

For 30 T-shirts, If Toby buys in packs of 5 T-shirts then the number of packs he should buy = 30/5 = 6 packs.

The cost for six packs of 5 T-shirts =  6*13.00 = 78.00 money.

<u>Case 2 </u>:

For 30 T-shirts, If Toby buys in packs of 2 T-shirts then the number of packs he should buy = 30/2 = 15 packs.

The cost for 15 packs of 2 T-shirts =  15*7.22 = 108.30 money.

The money saved = 108.30 -78.00 = 30.30 money.

Therefore, The better price to buy 30 T-shirts is 78.00 money.

3 0
3 years ago
Polygon ABCD is translated to create polygon A'B'C'D. Point A and is located at (1, 5) and point A' is located at (-2, 1). What
Ilia_Sergeevich [38]
\sqrt{ 3^{2}+4^{2} } =5.
the distance is 5. 
hope it helps. 
7 0
2 years ago
Question 2(Multiple Choice Worth 5 points) (05.01)A poster is shown below: A rectangle is shown. The length of the rectangle is
Karo-lina-s [1.5K]

Answer:

The enlargement will be 30 ft by 7.5 ft.

Step-by-step explanation:

A scale drawing is a larger or smaller version of an object. To find the dimensions of the new drawing, multiply each measurement by the scale factor. The scale factor here is 5/2 or 2.5.

12(2.5)=30 ft

3(2.5)=7.5 ft



7 0
3 years ago
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