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3 years ago

9. Given a circle with a radius of 6, determine its sector area with an angle measure of 120°.

Mathematics

1 answer:

Sergio039 [100]3 years ago

4 0

Answer:

2160 square units

Step-by-step explanation:

Given data

Radius= 6 units

Angle= 120°

Area of the sector is given as

Area of sector= r^2* ∅/2

Area of sector= 6^2*120/2

Area of sector= 36*60

Area of sector= 2160 square units

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If a coin is flipped 70 times how many times should it land with tails side face up

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Your job in a company is to fill quart-size bottles of oil from a full 30-gallon oil drum. Then you are to pack 8 quarts in a ca

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Step-by-step explanation:

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3 years ago

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kogti [31]

Answer:

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3 years ago

Consider a large shipment of 400 refrigerators, of which 40 have defective compressors. If X is the number among 15 randomly sel

Vlad [161]

Answer:

The required probability is 0.94

Step-by-step explanation:

Consider the provided information.

There are 400 refrigerators, of which 40 have defective compressors.

Therefore N = 400 and X = 40

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$\frac{40}{400}=0.10$

It is given that If X is the number among 15 randomly selected refrigerators that have defective compressors,

That means n=15

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$P(X=x)=^nC_xp^x(1-p)^{n-x}$

We need to find P(X ≤ 3)

$P(X\leq3) =P(X=0)+P(X=1)+P(X=2)+P(X=3)\\P(X\leq3) =\frac{15!}{15!}(0.1)^0(1-0.1)^{15}+\frac{15!}{14!}(0.1)^1(1-0.1)^{14}+\frac{15!}{13!2!}(0.1)^2(1-0.1)^{13}+\frac{15!}{12!3!}(0.1)^3(1-0.1)^{12}\\$

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Hence, the required probability is 0.94

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3 years ago

There is a bag filled with 3 blue and 5 red marbles.

SIZIF [17.4K]

3+5=8

Answer:

2/8

Step-by-step explanation:

probability = total number of items ÷2

=8÷2

=2/£

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2 years ago