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2 years ago

15

A square pyramid has a slant height of 15 cm. A side length of the base is 20 cm. What is the surface area of the pyramid? Enter

your answer in the box. Answer in cm²

1 answer:

nevsk [136]2 years ago

4 0

Answer:

1000 cm2

Step-by-step explanation:

Pretty sure

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The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m

castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 10 minutes:

This means that $m = 10, \mu = \frac{1}{10} = 0.1$

A. What is the probability that the arrival time between customers will be 7 minutes or less?

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)$

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

$P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592$

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442$

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

3 0

2 years ago

The sum of m and 188 is 232 <br><br>write the sentence as an equation

makvit [3.9K]

Answer:

m + 188 = 232

Step-by-step explanation:

sum → +

m + 188 = 232

5 0

2 years ago

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A group of 42 monkeys meet in the forest for a swinging competition. The monkeys divide into teams with 8 monkeys on each team.

Illusion [34]

Answer:

i dont know

Step-by-step explanation:

8 0

2 years ago

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Simplify 3 times 4 minus 8 divided by 2

lisabon 2012 [21]

Answer:

2

Step-by-step explanation:

3 x 4 = 12 - 8 = 4 ÷ 2 = 2

7 0

2 years ago

6k+4k<-4k+6 solve for k

Genrish500 [490]

Answer:

k < 3/7

Step-by-step explanation:

Step 1:Sinplify both sides of the inequality

10k <-4k+6

Step 2: Add 4k to both sides

10k + 4k < -4k + 6 + 4k

14k < 6

Step 3:Divide both sides by 14

14k/14 < 6/14

k <3/7

Note:Provided by Mathpapa an Algebra caculator

6 0

2 years ago