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Vikentia [17]
2 years ago
5

In a large population, 69% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that a

t least one of them has been vaccinated?
Mathematics
1 answer:
Darya [45]2 years ago
3 0

Answer: P(x ≥ 1) = 0.997

Step-by-step explanation:

We would assume a binomial distribution for the the people that were sampled. The formula is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - r) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 69% = 69/100 = 0.69

q = 1 - p = 1 - 0.69

q = 0.31

n = 5

Therefore,

P(x ≥ 1) = 1 - P(x = 0)

P(x = 0) = 5C0 × 0.69^0 × 0.31^(5 - 0) = 0.003

P(x ≥ 1) = 1 - 0.003 = 0.997

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There are 800 desks at Washington Middle School. The custodial staff at the school plans to inspect 6.5% of the desks every week
Talja [164]

Answer:

208 desks

Step-by-step explanation:

To find out how many desks they will inspect each week, we multiply

800 * 6.5%

800 * .065

52 desks per week

Over a 4 week period, they will inspect

52 desk per week * 4 weeks =

208 desks

7 0
3 years ago
What shape will be created after the rotation?
castortr0y [4]
Can you attach a pic of the shape please?
5 0
2 years ago
A school P is 16km due west of a school Q. what is the bearing of Q from P​
Irina-Kira [14]

Answer:

16Km due east of school P

Step-by-step explanation:

Given

A school P is 16km due west of a school Q

Thus, we can say that distance PQ = 16 km.

________________________________

now we have to find  the bearing of Q from P​

As distance is same

distance PQ = distance QP

Thus,

Distance will remain same of 16 km.

For direction,

If Q is west of P, then P will be east of QP------------------>Q

as shown in figure P is west of Q,

now from point P , Q is west P.

Thus,

Bearing of  School Q from P is 16Km due east of school P

7 0
3 years ago
19 + 11 - 12² ÷ 3 (12 - 9) · 11)) - 7 =
katovenus [111]

PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

First, subtract the numbers in the parentheses, then multiply by 11.

(12 - 9) = (3)

3 x 11 = 33

19 + 11 - 12^2 ÷ 3(33) - 7

Now, just multiply 33 by 3, and then square 12 (12 x 12).

19 + 11 - 144 ÷ 99 - 7

Now, you can divide 144 by 99, this is an infinite number, so..

144 ÷ 99 = 1.455

19 + 11 - 1.455 - 7

Finally add, then subtract.

30 - 1.455 - 7

28.545 - 7

The final answer is 21.545.

7 0
2 years ago
Angles XYZ and PYZ are complimentary. If XYZ= 3x+8 and PYZ= 2x+7, what is the measure of XYZ?
Romashka [77]
Your answer would be 53
8 0
2 years ago
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