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3 years ago

Hello, Can someone please help me with this math problem? thanks!

Mathematics

1 answer:

Elis [28]3 years ago

5 0

I believe it's A) because the conjugate of any number is basically inverted signs when multiplying a binomial, so [-2 - √b][-2 + √b]. It's A).

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Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p

garik1379 [7]

Answer:

m = $\frac{1}{20}$
μ = 20
σ = 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable X follows an exponential distribution with parameter m.

The decay parameter is, m.

The probability distribution function of an Exponential distribution is:

$f(x)=me^{-mx}\ ;\ m>0, x>0$

Given: The decay parameter is, $\frac{1}{20}$

X is defined as the distance people are willing to commute in miles.

The decay parameter is m = $\frac{1}{20}$ .
The mean of the distribution is: $\mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20$ .
The standard deviation is: $\sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20$

Compute the probability that a person is willing to commute more than 25 miles as follows:

$P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865$

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0

4 years ago

(HELP NEEDED RIGHT NOW)Marisol is making lemonade to sell at her lemonade stand. Her recipe calls for 5 cups of sugar for every

zvonat [6]

I think it’s the first one. 30:54 because 5 times 6 is 30 and 9 times 6 is 54.

4 0

3 years ago

Read 2 more answers

Evaluate: log216 Select the appropriate response A) 0 B) -1 C) 7

stepladder [879]

Answer:

Step-by-step explanation:

log2(16)

log2(2^4)

4 log2(2)

4 × 1

It should be 4

3 0

3 years ago

PLEASE HELP I WILL MARK YOU BRAINLIEST. Ms. Simmons is using sticky notes to write reminders to herself. Each sticky note is 5/6

Masja [62]

Answer:

5 square inches

Step-by-step explanation:

First, we need to find the area of one sticky note:

The formula is Lenth*Width

Area of one sticky note:

5/6*2/3=10/18

=5/9 square inches

Now, we find the area of 9 sticky notes:

5/9*9=5

5 square inches

Hope this helps! Have an amazing day!

7 0

3 years ago

A storage bin in the shape of a rectangular prism has a volume of 10x3+9x2+2x.What linear expressions can represent possible dim

Mice21 [21]

Answer:72

Step-by-step explanation:

3 0

3 years ago