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12345 [234]
3 years ago
14

Frank needs to buy new clothes for a job. He finds a store where all of the shirts are $40 and the

Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer:

Step-by-step explanation:

D

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ARE THESE CONGRUENT OR NOT????
tekilochka [14]
Yes, they are congruent. Congruent means that they are exactly equal in size and shape. The are both Right Triangles (you can tell by the 90 degree angle) and the lines on them are in the same spots, which means, line YZ is equal to line BC, and that line XZ is equal to line AC. I hope that helped! :)
8 0
3 years ago
Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The m
marshall27 [118]

Answer:

1. 0.0000454

2. 0.01034

3. 0.0821

4. 0.918

Step-by-step explanation:

Let X be the random variable denoting the number of passengers arriving in a minute. Since the mean arrival rate is given to be 10,  

X \sim Poi(\lambda = 10)

1. Requires us to compute

P(X = 0) = e^{-10} \frac{10^0}{0!} = 0.0000454

2.  We need to compute P(X \leq 3) = P(X =0) + P(X =1) + P(X =2) + P(X =3)

P(X =1) = e^{-10} \frac{10^1}{1!} = 0.000454

P(X =2) = e^{-10} \frac{10^2}{2!} = 0.00227

P(X =3) = e^{-10} \frac{10^3}{3!} = 0.00757

P(X \leq 3) =0.0000454+ 0.000454 + 0.00227 + 0.00757 = 0.01034

3. The expected no. of arrivals in a 15 second period is = 10 \times \frac{1}{4} = 2.5. So if Y be the random variable denoting number of passengers arriving in 15 seconds,

Y \sim Poi(2.5)

P(Y=0) = e^{-2.5} \frac{2.5^0}{0!} = 0.0821

4. Here we use the fact that Y can take values 0,1, \dotsc. So, the event that "Y is either 0 or \geq 1" is a sure event ( i.e it has probability 1 ).

P(Y=0) + P(Y \geq 1) = 1 \implies P(Y \geq 1) = 1 -P(Y=0) = 1 - 0.0821 = 0.918

3 0
3 years ago
Write an explicit formula for an arithmetic sequence whose common difference is -3, and first term is -9.
kirza4 [7]

Answer:

  an = -9 -3(n -1)

Step-by-step explanation:

The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

Putting your numbers into the formula gives ....

  an = -9 -3(n-1)

5 0
3 years ago
Read 2 more answers
What is the volume of a right rectangular prism when the height is 11 m and the area of the square base is 9m 2 ?
mario62 [17]

Answer:

The answer to your question is: 99 m²

Step-by-step explanation:

Data

height = 11 m

area of the square base = 9 m²

Formula

Volume of a right rectangular prism = area of the base x height

                                                           = 11 x 9     substitution

                                                           = 99 m²

7 0
3 years ago
What is the slope of the line that contains the points (-1, 8) and (5, -4)
mylen [45]

Answer:

slope = - 2

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 ) = (- 1, 8 ) and (x₂, y₂ ) = (5, - 4 )

m = \frac{-4-8}{5-(-1)} = \frac{-12}{5+1} = \frac{-12}{6} = - 2

8 0
2 years ago
Read 2 more answers
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