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andrey2020 [161]
3 years ago
7

Modeling the number of transport bus breakdowns in every month to determine if an additional bus should be purchased. The runnin

g average has been 5 breakdowns per month. To calculate the probability of exactly 2 breakdowns next month:
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
6 0

Answer:

The probability of exactly 2 breakdowns next month = 0.08422

Step-by-step explanation:

To calculate the probability of exactly 2 breakdowns next month, we use Poisson distribution formula.

P(X = x) = (e^-λ)(λˣ)/x!

Mean = λ = 5 breakdowns per month

x = 2 breakdowns per month

P(X = 2) = (e⁻⁵)(5²)/2!

P(X = 2) = 0.08422

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Solving a right triangle (round to the nearest tenth)
Inga [223]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 46)° = 180° - 136° = 44°

----------------------------------------------------------------

tan46° = \frac{opposite}{adjacent} = \frac{b}{23}

Multiply both sides by 23

23 × tan46° = b, thus

b ≈ 23.8 ( to the nearest tenth )

-----------------------------------------------------------------

cos46° = \frac{adjacent}{hypotenuse} = \frac{23}{c}

Multiply both sides by c

c × cos46° = 23 ( divide both sides by cos46° )

c = \frac{23}{cos46} ≈ 33.1 ( to the nearest tenth )

5 0
3 years ago
A jar of natural peanut butter normally cost four dollars today it's on sale for $3.60 what is the percentage of the discount
kakasveta [241]
$4 is the original price of the jar consisting of peanut butter so therefor it = 100%. It's for sale at $3.60, so we divide $4 by 100% so we get the percentage for each cent and then we times it by 3.60 to get the percentage for $3.60 which is 90%. Now we subtract 90% from 100% to get the discounted percentage for 40cents :)

5 0
3 years ago
Help? what should i choose
igomit [66]

Answer:

Step-by-step explanation:

Angles on a straight line add up to 180 so:

180-110 = 70

As this is an isosceles triangle,

y must be 70.

We know y is 70 and there are 2y and one x. A triangle also adds up to 180.

This means:

2y+x = 180

2(70)+x = 180

140+x = 180

x = 40

x = 40  y = 70

8 0
3 years ago
J'ai un exercice de maths pour demain merci de commenter au plus vite
kari74 [83]
Oui je peux the aider
8 0
3 years ago
What is the simplified form of the expression 1/2 (2x + 6).
kakasveta [241]
1/2(2x+6)
Substitute the one half to both of the numbers inside the parentheses.
1/2*2 is one which would just be x
1/2*6 is three
X+3
8 0
3 years ago
Read 2 more answers
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