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mylen [45]
3 years ago
15

(x-2y=-5) (2x + 4y =14) what is the value of y

Mathematics
1 answer:
dusya [7]3 years ago
6 0


Sub x=-5+2y
2(-5+2y)+4y=14
y=3
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If a cylender has a volume of 340ft and a radius of three ft what is the height
rewona [7]

Answer:

h = 12.03

Substitute 22÷7 for pi.

h = V ÷ πr²

h = 340 ÷ (22÷7) × 3²

   ≈ 12.03

7 0
2 years ago
Of the entering class at a​ college, ​% attended public high​ school, ​% attended private high​ school, and ​% were home schoole
Veronika [31]

Answer:

(a) The probability that the student made the​ Dean's list is 0.1655.

(b) The probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.

(c) The probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.

Step-by-step explanation:

The complete question is:

Of the entering class at a college, 71% attended public high school, 21% attended private high school, and 8% were home schooled. Of those who attended public high school, 16% made the Dean's list, 19% of those who attended private high school made the Dean's list, and 15% of those who were home schooled made the Dean's list.

a) Find the probability that the student made the Dean's list.

b) Find the probability that the student came from a private high school, given that the student made the Dean's list.

c) Find the probability that the student was not home schooled, given that the student did not make the Dean's list.

Solution:

Denote the events as follows:

<em>A</em> = a student attended public high school

<em>B</em> = a student attended private high school

<em>C</em> = a student was home schooled

<em>D</em> = a student made the Dean's list

The provided information is as follows:

P (A) = 0.71

P (B) = 0.21

P (C) = 0.08

P (D|A) = 0.16

P (D|B) = 0.19

P (D|C) = 0.15

(a)

The law of total probability states that:

P(X)=\sum\limits_{i} P(X|Y_{i})\cdot P(Y_{i})

Compute the probability that the student made the​ Dean's list as follows:

P(D)=P(D|A)P(A)+P(D|B)P(B)+P(D|C)P(C)

         =(0.16\times 0.71)+(0.19\times 0.21)+(0.15\times 0.08)\\=0.1136+0.0399+0.012\\=0.1655

Thus, the probability that the student made the​ Dean's list is 0.1655.

(b)

Compute the probability that the student came from a private high school, given that the student made the Dean's list as follows:

P(B|D)=\frac{P(D|B)P(B)}{P(D)}

             =\frac{0.21\times 0.19}{0.1655}\\\\=0.2410876\\\\\approx 0.2411

Thus, the probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.

(c)

Compute the probability that the student was not home schooled, given that the student did not make the Dean's list as follows:

P(C^{c}|D^{c})=1-P(C|D^{c})

               =1-\frac{P(D^{c}|C)P(C)}{P(D^{c})}\\\\=1-\frac{(1-P(D|C))\times P(C)}{1-P(D)}\\\\=1-\frac{(1-0.15)\times 0.08}{(1-0.1655)}\\\\=1-0.0815\\\\=0.9185

Thus, the probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.

3 0
2 years ago
This Histogram displays the prices in thousands of dollars of seven cars
Katarina [22]

Answer:

b

Step-by-step explanation:

The median price is between $20,000 and $30,000.

i got it right on the quiz :)

8 0
2 years ago
The Correct Answer Is?
Alekssandra [29.7K]
Hello!

n<span>≤-1/2 means that n is less than the open circle, because an open circle means the variable can not be equal to that point. so your answer is: D

I hope this helps, and have a nice day.
</span>
8 0
3 years ago
There are three cabinets, A, B, and C,each of which has 2 drawers. Each drawer has 1 coin: A has 2 gold coins, B has 2 silver co
Llana [10]
Only cabinet with two silver coins is cabinet B.
The chance of choosing cabinet B is 1/3.
Thus, there is a 1/3 chance of the two cabinets contain 2 silver coins.
7 0
3 years ago
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