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Dafna1 [17]
3 years ago
7

It is known that 5% of the population over the age of 30 in a city is a university graduate. Among the 100 people chosen randoml

y; a) Possibility to be 5 university graduates b) What is the likelihood of never being a university graduate?
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

Answer:

A) 1/3200000

B) 19/20

Step-by-step explanation:

Percentage population of graduates = 5

Proportion of graduates from 100 random samples = percentage × number of samples

Proportion of graduates = 0.05 × 100 = 5

Probability of having 5 graduates among the 100 random samples:

P(1 graduate) = possible outcome / total required outcome

P(1 graduate) = (5 / 100) = 1/20

P(5 graduates) = (1/20)^5

P(5 graduates) = 1/3200000

Probability of never being a graduate = (1 - probability of being a graduate)

Probability of never being a graduate = ( 1 - (1/20)) = 19/20

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Find the theoretical probability of rolling a number cube labeled 1-12 and<br> it landing on 7.
Rashid [163]

Answer:

1/12

Step-by-step explanation:

There are 12 sides, and 7 is one of them. Therefore, there is a 1/12 chance of it landing on that side if it is a fair cube.

3 0
3 years ago
Evaluate the expression w 2 - v + 1 for w = -2 and v = -8.
Aleksandr [31]

Answer:

Is the w2, w(2) or

{w}^{2}

?

If it's w(2) the answer is -4--8+1=-4+8+1=5

if it's w^2 then the answer would be 4--8+1=4+8+1=13

4 0
2 years ago
The proof that ΔACB ≅ ΔECD is shown. Given: AE and DB bisect each other at C. Prove: ΔACB ≅ ΔECD What is the missing statement i
GarryVolchara [31]

Answer:

The missing statement is ∠ACB ≅ ∠ECD

Step-by-step explanation:

Given two lines segment AC and BD bisect each other at C.

We have to prove that ΔACB ≅ ΔECD

In triangle ACB and ECD

AC=CE    (Given)

BC=CD   (Given)

Now to prove above two triangles congruent we need one more side or angle

so, as seen in options the angle ∠ACB ≅ ∠ECD due to vertically opposite angles

hence, the missing statement is ∠ACB ≅ ∠ECD


9 0
3 years ago
Read 2 more answers
Through: (2, 2), parallel to y = x +4​
dexar [7]

Answer:

y = x

Step-by-step explanation:

We can use slope-point form.

(y-y1) = m(x-x1)

m is a slope. If the line is parallel than slopes are the same.

y = x + 4, for this line slope = 1, so for line we have to find slope is also 1.

(y-y1) = m(x-x1)

m=1, x1 = 2, y1 = 2

(y - 2) = 1(x-2)

y - 2 = x - 2

y = x

8 0
2 years ago
The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F = ma where m is the obje
Liono4ka [1.6K]

Answer: According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.

Step-by-step explanation:

3 0
3 years ago
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