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Bond [772]
3 years ago
8

The enrollment at a local college increased 2% over last year's enrollment of 3300. Find the current enrollment.

Mathematics
1 answer:
ella [17]3 years ago
8 0
It should be 3366. To find the percent increased, multiply 3300 by .02 and add that to 3300, giving you 3366.
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A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the
Ahat [919]

Answer:Given:

P(A)=1/400

P(B|A)=9/10

P(B|~A)=1/10

By the law of complements,

P(~A)=1-P(A)=399/400

By the law of total probability,

P(B)=P(B|A)*P(A)+P(B|A)*P(~A)

=(9/10)*(1/400)+(1/10)*(399/400)

=51/500

Note: get used to working in fraction when doing probability.

(a) Find P(A|B):

By Baye's Theorem,

P(A|B)

=P(B|A)*P(A)/P(B)

=(9/10)*(1/400)/(51/500)

=3/136

(b) Find P(~A|~B)

We know that

P(~A)=1-P(A)=399/400

P(~B)=1-P(B)=133/136

P(A∩B)

=P(B|A)*P(A) [def. of cond. prob.]

=9/10*(1/400)

=9/4000

P(A∪B)

=P(A)+P(B)-P(A∩B)

=1/400+51/500-9/4000

=409/4000

P(~A|~B)

=P(~A∩~B)/P(~B)

=P(~A∪B)/P(~B)

=(1-P(A∪B)/(1-P(B)) [ law of complements ]

=(3591/4000) ÷ (449/500)

=3591/3592

The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):

===....B...~B...TOT

..A . 9 . . 1 . . 10

.~A .399 .3591 . 3990

Tot .408 .3592 . 4000

So P(A|B)=9/408=3/136

P(~A|~B)=3591/3592

As before.

Step-by-step explanation: its were the answer is

5 0
3 years ago
The ratio of the numerator and denominator of a rational number is 2 : 7 and
Nadya [2.5K]

Answer:

6/21.

Step-by-step explanation:

let the rational number be 2x/7x.

2x + 4 / 7x - 2 = 10 /19

Cross multiply:

19(2x + 4) = 10(7x - 2)

38x + 76 = 70x - 20

96 = 70x - 38x

32x = 96

x = 3.

So the rational number is  2*3/ 7*3

= 6/21.

4 0
3 years ago
Greg had $17 more than Fred, and together they had just enough money to by their mom a present that costs $85. How much money di
babunello [35]
<u>Define x:</u>

Let Fred had x dollar.

Fred = x 
Greg = x + 17

<u>Solve x :</u>

x + x + 17 = 85
2x + 17 = 85
2x = 68
x = 34

<u>Find the amount each of them had:</u>

Fred = x = $34
Greg = x + 17 = 34 + 17 = $51

Answer: Greg had $51
3 0
3 years ago
Read 2 more answers
What is required to have a legally valid contract?
Olegator [25]
It typically just needs two parts
1) all parties must be in agreement
2) something of value needs to be exchanged. ie. money, a service
3 0
3 years ago
Wich of the following expressions are equivalent to - 2/3 ? select all that apply​
MrRa [10]

Answer:

A, C and E

Step-by-step explanation:

Simplify each expression to lowest terms. Equivalent expressions will be any expressions which are equal after simplifying to lowest terms.

A. -1/9 * 6 = -6/9 = -2/3

B. -15/10 = -3/2

C. 12/-18 = -2/3

D. -3/4 * 2/1 = -6/4 = -3/2

E. -8/9 * 3/4 = -24/36 = -2/3

7 0
3 years ago
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