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Karolina [17]
3 years ago
8

The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that

a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male? 0.14 0.25 0.30 0.45
Mathematics
2 answers:
Andrew [12]3 years ago
6 0
We know that 70% of all comic book fans are male, and that 40% of Company A fans are male. 

Since 25% of all comic book fans are company A fans: 
0.4 * 0.25 (meaning 40% of 25%) = 0.1, or 10% of all comic book fans are male company A fans. 

What percentage, then, of male comic book fans are company A fans?
0.1 ÷ 0.7 = 0.142
We divide 10%, the percentage of all comic book fans that are male and company A fans, by the percentage of comic book fans that are male, since we are given that the fan is male. 

Answer is 0.14
kolezko [41]3 years ago
3 0

Answer:

0.14

A is the correct answer.

Step-by-step explanation:

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QUESTION 20
atroni [7]

.Answer:

The answer is below

Step-by-step explanation:

The patient loses 1 kg every week for 5 weeks.

1 kg = 2.2 lbs

Therefore the patient loses 2.2 lbs every week for 5 weeks.

a) The weight of the patient after 5 weeks = 245 lbs. - (5 weeks)(2.2 lbs per week)

The weight of the patient after 5 weeks = 245 lbs. - 11 lbs. = 234 lbs.

b) The weight of the patient after 5 weeks = 245 lbs. - 11 lbs. = 234 lbs.

1 kg = 2.2 lbs.

234 lbs. = 234 lbs. * 1 kg per 2.2 lbs. = 106.36 kg

7 0
3 years ago
Let f(x) = x^2 + 6x.
rusak2 [61]

Answer:

(A) The slope of secant line is 18.

(B) The slope of secant line is h+16.

Step-by-step explanation:

(A)

The given function is

f(x)=x^2+6x

At x=3,

f(3)=(3)^2+6(3)=27

At x=9,

f(9)=(9)^2+6(9)=135

The secant line joining (3,27) and (9,135). So, the slope of secant line is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{135-27}{9-3}=18

The slope of secant line is 18.

(B)

The given function is

f(x)=x^2+6x

At x=5,

f(5)=(5)^2+6(5)=55

At x=5+h,

f(5+h)=(5+h)^2+6(5+h)=h^2 + 16 h + 55

The secant line joining (5,55) and (5+h,h^2 + 16 h + 55). So, the slope of secant line is

m=\dfrac{h^2 + 16 h + 55-55}{5+h-5}

m=\dfrac{h^2 + 16 h }{h}

m=h+16

The slope of secant line is h+16.

4 0
3 years ago
Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed. Y + 2.3 = 0.45x and -2y = 4
HACTEHA [7]

Answer:

(2.4, -1.2)

Step-by-step explanation:

Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.

4 0
2 years ago
Read 2 more answers
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
kolbaska11 [484]

Answer:

When y=276, x= 23

Step-by-step explanation:

Since they're directly proportional, when divided they have to equal the same.

180/15= 12 and 276/23= 12

4 0
3 years ago
{ y = - 4x-23-4x-3y=13
sleet_krkn [62]

For this case we have the following system of equations:

y = -4x-23\\-4x-3y = 13

We solve by the substitution method:

We substitute the first equation in the second equation:

-4x-3 (-4x-23) = 13

We apply distributive property considering that - * - = +:

-4x + 12x + 69 = 13\\8x + 69 = 13

We subtract 69 from both sides of the equation:

8x = 13-69\\8x = -56

We divide by 8 on both sides of the equation:

x = \frac {-56} {8}\\x = -7

We look for the value of the variable y:

y = -4 (-7) -23\\y = 28-23\\y = 5

Thus, the solution of the system is (x, y): (-7,5)

Answer:

(x, y): (-7,5)

7 0
3 years ago
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