MATHEMATICS HIGH SCHOOL

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Answers

Answer 1
Answer:

Answer:

  • See below

Step-by-step explanation:

#3

  • P(A) = 3/8
  • P(B) = 2/7

(i)

  • P(A and B) = P(A) * P(B) = 3/8*2/7 = 3/28

(ii)

  • P(A or B) = P(A) + P(B) - P(A and B) = 3/8 + 2/7 - 3/28 = 1/56(21 + 16 - 6) = 31/56

(iii)

  • P(not A and not B) = P(not A) * P(not B) = (1 - 3/8)*(1 - 2/7) = 5/8*5/7 = 25/56

Another way:

  • P(not A and not B) = 1 - P(A or B) = 1 - 31/56 = 25/56

#4

Outcomes with two fair coins: TT, TH, HT, HH

Outcomes with normal dice: 1 to 6

a)

  • P(odd number) = 3/6 = 1/2

b)

  • P(two heads and an even number) = 1/4*3/6 = 1/8

c)

  • P(head and tail) = 1/2
  • P(prime) = 3/6 = 1/2 (primes are 2, 3 and 5)
  • P(head, tail and prime) = 1/2*1/2 = 1/4

d)

  • P(two tails and odd number) = 1/4*3/6 = 1/8

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Find the inverse of the one to one function. f(x)=2x+5/7

Answers

f(x)=(2x+5)/(7)\n\n y=(2x+5)/(7)\n 7y=2x+5\n 2x=7y-5\n x=(7y-5)/(2)\n \boxed{f^(-1)(x)=(7x-5)/(2)}

Rs+h²=1 solve for h​

Answers

Answer:

h=1-rs

Step-by-step explanation:

rs+h^2=1 square on both sides

rs+h=1 subtract rs

h=1-rs

Elijah opens a savings account with $60. Each week after, he deposits $25. In how many weeks will he have saved $600?

Answers

Answer:

25w + 60= 600

25w= 540

w=21.6

Step-by-step explanation:

First make the equation

1. Subrtract 60 from each side

2. Now divide 25 on both sides

3. now you have the answer

I GOT A DECIMAL SO MAYBE ROUND OR PUT THAT EXACT ANSWER.

Answer:

24

Step-by-step explanation:

What I did was divide 600 by 25 and got 24.So, Elijah has $600 after 24 weeks                                                                              

What is the squiggly line above the equal sign

Answers

if u are talking about triangles it would mean "congruent to"
example: ABC =~ DEF

Answer: it's congruent to

Step-by-step explanation:

9/16 + 1/2 equals what

Answers

1 / 2 = ( 1 * 8 ) / ( 2 * 8 ) = 8 / 16 ;
9 / 16 + 8 / 16 = ( 9 + 8 ) / 16 = 17 / 16 ;
9 /16 + 1/2 =? 
9 /16 = 0. 5625 
1/2 = 0.5 
therefore , 9/ 16 +1 / 2 = 0.5625 + 0.5 
= 1 .0625 

John can service a television and a cable box in one hour. It took him four hours yesterday to service two televisions and ten cable boxes. How many minutes does John need to service a cable box?

Answers

For this item, we let x be the number of minutes he can service a television and y be the minutes he can service a cable box. Then, the system of linear equation that would best represent the given above is,
                                x + y = 60 
                                2x + 10 y = (4)(60)
The values of x and y from the equations are 45 and 15 minutes, respectively. Therefore, John needs 15 minutes to service a cable box. 
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