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MrMuchimi
3 years ago
10

See image for question.​

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0

Answer:

<h3>#7</h3>

(a)

<u>Sample space:</u>

  • 1*1, 1*2, 1*3, 1*4,
  • 2*1, 2*2, 2*3, 2*4,
  • 3*1, 3*2, 3*3, 3*4,
  • 4*1, 4*2, 4*3, 4*4

Total 16 outcomes

(b)

  • (i) P(even) = 12/16 = 3/4
  • (ii) P(3x) = 7/16
  • (iii) P(perfect square) = 4/16 = 1/4
<h3>#8</h3>

(a) <u>Sample space:</u>

  • 1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H

Total 8 outcomes

(b)

(i) 1T, 3T

  • P(T and odd) = 2/8 = 1/4

(ii) 1H, 4H

  • P(H and square) = 2/8 = 1/4

(iii) 1H, 2H, 3H, 4H

  • P(H) = 4/8 = 1/2

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In 2015,in buffalo,new York there were 8.625 arrest,2.678 robberies,865 assaults and 20 murders.The population of Buffalo is 258
Kisachek [45]

<u>Answer:</u>

\frac { 8 6 5 } { 2 6 7 8 }

<u>Step-by-step explanation:</u>

We are given the following information for year 2015:

Number of arrests = 8625  

Number of robberies = 2678

Number of assaults = 865

Number of murders = 20

Population of Buffalo = 258959

We are to find the ratio of number of assaults to the number of robberies in simplest form.

Ratio of number of assaults to number of robberies = \frac{865}{2678}

4 0
3 years ago
ANSWER THESE TWO QUESTIONS PLEASE THANK YOU
Arturiano [62]

Answer:

1) $63.60

2) y=8x-6

Step-by-step explanation:

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2) To find the slope you need \frac{y_{2} -y_{1}}{x_{2}-x_{1}}. (10-2)/(2-1) is 8. The slope is 8. So you have y=8x+b. To find b just plug in a point and solve. 2=8(1)+b. B= -6. y=8x-6

5 0
3 years ago
Which of the following expressions represent the distance between -6 and 7 on the number​ line?
JulijaS [17]

Answer:

C

Step-by-step explanation:

The lines mean the distance away from 0. When i say lines, I mean the two "l" that accompany the numbers. I forgot what there called (good job me).

Since we want to know how far apart they are, we need to add them.

5 0
3 years ago
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Frank purchased a boat for $7,525. He made a down payment of $475. He applied for a six-year installment loan with an interest r
zhenek [66]

Answer:

$10,603.20

Step-by-step explanation:

You can calculate the simple interest of the loan using the formula:

I = prt, where I = interest, p = principal amount, r = interest rate and t = time.  Plugging in the values from the problem:

p = $7,050

r = 8.4% or 0.084

t = 6 years

I = (7050)(0.84)(6) = $3,553.20

To find the total cost of the boat, add the interest and the purchase price:

$7,525 + $3,553.20 = $11,078.20

8 0
3 years ago
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities. The student body
Troyanec [42]

Answer:

735,130.

Step-by-step explanation:

The order of election of the 3 representatives does not matter so it is a combination.

The number of possible combinations

= 165! / 162! 3!

=  (165 * 164 * 163) / (3*2*1)

= 735,130.

6 0
3 years ago
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