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klio [65]
3 years ago
11

1. Name a pair of vertical angles.

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

1)b and f, a and d

2)c and d

3)d and f

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A manager at a company that manufactures cell phones has noticed that the number of faulty cell phones in a production run of ce
ExtremeBDS [4]

Answer:

a) Poisson probability distribution

b) The probability of no faulty cell phones will be produced​ tomorrow is 0.1653

c) The probability of 3 or more faulty cell phones were produced in​ today's run is 0.2694

Step-by-step explanation:

Poisson distribution is used for independent events which occur at a constant rate within a given interval of time

The Poisson probability distribution formula is P(x; μ) = (e^-μ) (μ^x) / x! where

x is the actual number of successes that result from the experiment

e is approximately equal to 2.71828

μ  is the mean of the distribution

The number of faulty cell phones in a production run of cell phones is usually small and that the quality of one​ day's run seems to have no bearing on the next day

That means the probability of finding faulty phones in first day not depend on finding another days

Then the model might you use to model the number of faulty cell phones produced in one​ day is Poisson probability distribution

a) Poisson probability distribution

∵ The mean number of faulty cell phones is 1.8 per​ day

∴ μ = 1.8

∵ There is no faulty cell phones will be produced​ tomorrow

∴ x = 0

- Use the formula above to find the probability

∵ P(0 ; 1.8) = (e^-1.8) (1.8^0) / 0!

- Remember 1.8^0 = 1 and 0! = 1

∴ P(0 ; 1.8) = (e^-1.8)(1)/(1)

∴ P(0 ; 1.8) = 0.1653

b) The probability of no faulty cell phones will be produced​ tomorrow is 0.1653

∵ The mean number of faulty cell phones is 1.8 per​ day

∴ μ = 1.8

∵ There is 3 or more faulty cell phones were produced in​ today's run

∴ x ≥ 3

∵ P(x ≥ 3) = 1 - P(x = 0) - P(x = 1) - P(x = 2)

- Let us find P(1 ; 1.8) and P(2 ; 1.8)

∵ P(1 ; 1.8) = (e^-1.8) (1.8^1) / 1!

∵ 1.8^1 = 1.8

∵ 1! = 1

∴ P(1 ; 1.8) = (e^-1.8)(1.8)/(1)

∴ P(1 ; 1.8) = 0.2975

∵ P(2 ; 1.8) = (e^-1.8) (1.8^2) / 2!

∵ 1.8^2 = 3.24

∵ 2! = 2

∴ P(2 ; 1.8) = (e^-1.8)(3.24)/(2)

∴ P(2 ; 1.8) = 0.2678

Substitute them in the rule above

∵ P(x ≥ 3 ; 1.8) = 1 - 0.1653 - 0.2975 - 0.2678

∴ P(x ≥ 3 ; 1.8) = 0.2694

c) The probability of 3 or more faulty cell phones were produced in​ today's run is 0.2694

7 0
3 years ago
I've already posted this once, and haven't got an answer, so I am posting it again just in case my question got lost in the sea
adelina 88 [10]
I know the answer to 17 is the measure of each angle is 45° but i’m not sure about the rest sorry
5 0
3 years ago
Two boards are placed end to end to make a walkway. One board is 5 feet 11 inches long, and the other board is 4 feet 6 inches l
Papessa [141]

Answer:

10 feet 5 inches long

Step-by-step explanation:

12 inches = 1 foot

11 inches + 6 inches = 17 inches = 1 foot 5 inches

1 foot 5 inches + 5 feet + 4 feet = 10 feet 5 inches

Therefore, the walking board is 10 feet 5 inches long

3 0
3 years ago
Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes. ​
Mazyrski [523]

There are 3 girls & 4 boys.

Each student makes 8 paper airplanes.

Amount of paper airplanes created by girls: 3 x 8 = 24

Amount of paper airplanes created by boys: 4 x 8 = 32

Amount of paper airplanes created in all: 3(8) + 4(8) = 24 + 32 = 56

~

3 0
3 years ago
Write negations for each of the following statements. (Assume that all variables represent fixed quantities or entities, as appr
amm1812

Answer:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

Step-by-step explanation:

The general formula for negations that will be applied is:

Statement: If x is y, then x is z

Negation: x is y and x is not z

Statement: If x is y, then x is z and w

Negation: x is y and either x is not z or x is not w

Applying those principles:

a. P is a square and P is not a rectangle

b. Today is New Year’s Eve and tomorrow is not January.

c. The decimal expansion of r is terminating and r is not rational.

d. n is prime and either n is not odd or n is not 2.

e. x is nonnegative and either x is not positive or x is not 0.

f. Tom is Ann’s father and either Jim is not her uncle or Sue is not her aunt.

g. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.

4 0
3 years ago
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