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dusya [7]
3 years ago
9

#10 using the right angle below find the cosine of angle B.

Mathematics
1 answer:
Contact [7]3 years ago
4 0

\cos B = \frac{\text{adjacent side}}{\text{hypotenuse}} = \frac{5\sqrt{2}}{10} = \frac{\sqrt{2}}{2}=0.707

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According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
Igoryamba

Answer: kindly check explanation

Step-by-step explanation:

Probability of not covering mouth = p(success) = 0.267

Hence, p(covering mouth) = 1 - 0.267 = 0.733

a) What is the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when​ sneezing? ​

Number of samples (n) = 12

P(X = 8)

Using binomial distribution :

P(x) = nCx * p^x * (1-p)^(n-x)

P(x =8) = 12C8 * 0.267^8 * 0.733^(12-8)

P(x =8) = 12C8 * 0.267^8 * 0.733^4

= 0.00369

b) What is the probability that among 12 randomly observed individuals fewer than 6 do not cover their mouth when​ sneezing?

P(X < 6) = p(5) + p(4) + p(3) + p(2) + p(1) + p(0)

To save computation time, we can use an online binomial probability calculator :

P(X < 6) = 0.9275

C.) Yes, I will be surprised, because from the binomial probability obtained above, there is a high probability (0.9275) that fewer than half do not cover their mouth.

5 0
3 years ago
The random variable is x represents the number of cars per household in a town of 1000 households, find the probability of rando
skad [1K]
125x2= 250 cars in a negborhood
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3 years ago
A shepherd is paid rs.2400 for gazing 18 cows for 5 weeks.How much will be paid for gazing 20 cows for 8 weeks?
lys-0071 [83]

Answer:

Rs. 4266.67(approx) will be paid for gazing 20 cows for 8 weeks.

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then,

for gazing 20 cows for 8 weeks is=  Rs. \frac{80}{3}\times (20\times 8)

Therefore, the amount paid for gazing 20 cows for 8 weeks is, \frac{80 \times 160}{3} = \frac{12800}{3} = Rs. 4266.66667 or Rs. 4266.67(approx)

7 0
3 years ago
What is the equation for a 75 90 15 triangle​
vladimir1956 [14]

Answer:

30,60,90  triangle, which is the lengths  1      √ 3 , and  2   respectively. This is what I have got so far: Using the 30-60-90 Ratio

Step-by-step explanation:

4 0
3 years ago
The product of two integers is 96. One of them is-12, find the other numbers​
miss Akunina [59]

Answer:

-8

Step-by-step explanation:

let the other number be x

according to the question equation is

-12x = 96

x = 96/-12

x = -8

4 0
2 years ago
Read 2 more answers
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