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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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lara31 [8.8K]

Answer:

Therefore the measure of∠ A is 60.07.

Step-by-step explanation:

Given:

In Right Angle Triangle ABC

∠ B = 90°

BC = 13   ....Side opposite to angle A

AC = 15  .... Hypotenuse

To Find:

m∠A = ?

Solution:

In Right Angle Triangle ABC ,Sine Identity,

\sin A = \dfrac{\textrm{side opposite to angle A}}{Hypotenuse}\\

Substituting the values we get

\sin A = \dfrac{BC}{AC}=\dfrac{13}{15}=0.8666\\\\A=\sin^{-1}(0.8666)=60.065\\\\m\angle A=60.07\°

Therefore the measure of∠ A is 60.07

6 0
3 years ago
Write your question here (Keep it simple and clear to get the best answer) If jun has 12 T-shirt 6 pairs of parts, and 3 pairs o
Talja [164]

Answer:

the number of possibilities that can be drace himself up for the day is 216

Step-by-step explanation:

Given that

jun has 12 t-shirts,6 pairs of pants and 3 pairs of shoes

We need to find out the possibilities that can be drace himself up for the day

So here

= 12C_1 \times  6C_1 \times  3C_1\\\\= \frac{12!}{1!(12 - 1)!}  \times \frac{6!}{1!(6 - 1)!} \times \frac{3!}{1!(3 - 1)!}\\\\= \frac{12!}{1!(11)!} \times  \frac{6!}{1!(5)!} \times  \frac{3!}{1!(2)!}\\\\= 12 \times 6 \times 3\\\\= 216

Hence, the number of possibilities that can be drace himself up for the day is 216

The same would be considered and relevant too

7 0
3 years ago
Please do I'm to lazy to try and do it.
salantis [7]
-0.7
or
-0.66
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4 0
3 years ago
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Answer:

A. 28

B. 1 min

C. 2 mins

Step-by-step explanation:

5 0
2 years ago
After 10 months the simple interest earned annually on an investment of $6000 was $769. Find the interest rate to the nearest te
Lady bird [3.3K]
Simple interest = $769
Principal = $6000
Rate = ?
Time = 10 months (must convert to years if in months) = 10/12 = 0.833
Formula
I = prt
Substitute
769 = 6000 × r × 0.833
769 = 4998r
Divide both sides by 4998
769/4998 = 4998r/4998
0.15386 = r
(to the nearest tenth of a percent) = 0.15
Therefore, your rate is 0.15%.
6 0
3 years ago
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