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2 years ago

(2) The scores obtained by a class of

Mathematics

1 answer:

SVETLANKA909090 [29]2 years ago

5 0

Answer:

Below.

Step-by-step explanation:

(a) Prob(exactly 6 marks) = 2/10 = 1/5

(b) Prob(At least 6 marks) = 5/10 = 1/2.

Prob ( Queen of hearts) = 1/52

Probability of a 6 in one throw = 1/6.

So expected number of 6's in 300 throws

= 1/6 * 300

= 50.

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Explain why the following equation is true: <br> 12 2 = 12

lisov135 [29]

The answer is false

ohbvcxasdcv hgfdsasxcvbjb xswedfvbnm

3 0

3 years ago

A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the prob

UkoKoshka [18]

Answer:

The probability that 8 mice are required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

$P(X=r)=^nC_r p^rq^{n-r}$

Where, p is the probability of success $p=\frac{2}{7}$

q is the probability of failure q=1-p, $q=1-\frac{2}{7}=\frac{5}{7}$

n is total number of trials n=8

r=3

Substitute the values,

$P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}$

$P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}$

$P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}$

$P(X=3)=0.2428$

Therefore, the probability that 8 mice are required is 0.2428.

5 0

4 years ago

Find the slope and reduce. P=(-4, 2) Q=(4,-4) Slope =

yarga [219]

Answer:

slope = - $\frac{3}{4}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = P(- 4, 2) and (x₂, y₂ ) = Q(4, - 4)

m = $\frac{-4-2}{4+4}$ = $\frac{-6}{8}$ = - $\frac{3}{4}$

7 0

3 years ago

Give Area of a circle of diameter of 120 meters

Valentin [98]

Answer:

Area=11,309.73

Step-by-step explanation:

area of a circle is πr^2 so half of the diameter is the radius so it's 60.

pi x 60^2= 11,309.73

3 0

3 years ago

I need your help (circle theorem question).

bixtya [17]

Answer:

b = 108

c = 72

Step-by-step explanation:

The triangle formed by the two tangents is an isosceles triangle.

180 - 72 = 108

108/2 = 54

The other two angles in the triangle are equal to 54 degrees.

A tangent always meets the radius line at a right angle. Therefore, the radius line (between b and c) meets the tangent at 90 degrees.

90 - 54 = 36

Therefore the other two angles of 'b' triangle are equal to 36 degrees.

36 x 2 = 72

180 - 72 = 108

b = 108

And therefore b is equal to 108 degrees.

b + c = 180 (because a straight line is always equal to 180 degrees)

180 - 108 = 72

So c = 72

8 0

3 years ago