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3 years ago

What is the vertex of the function x2 - 14x - 95 = 0?

Mathematics

1 answer:

monitta3 years ago

6 0

I hope everythink is clearly :) If not just ask :)

answer for your question is starting when x^2-14x-95=0. Just Ignore this above this.

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In the Ardmore Hotel, 20 percent of the guests (the historical percentage) pay by American Express credit card. (a) What is the

xxMikexx [17]

Answer:

(a) The expected number of guests until the next one pays by American Express credit card is 4.

(b) The probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

Step-by-step explanation:

The random variable X can be defined as the number of guests until the next one pays by American Express credit card

The probability that a guest paying by American Express credit card is, p = 0.20.

The random variable X follows a Geometric distribution since it is defined as the number of trials before the first success.

The probability mass function of X is:

$P(X=x)=(1-p)^{x}p;\ x=0,1,2,3...,\ 0$

(a)

The expected value of a Geometric distribution is:

$E(X)=\frac{1-p}{p}$

Compute the expected number of guests until the next one pays by American Express credit card as follows:

$E(X)=\frac{1-p}{p}$

$=\frac{1-0.20}{0.20}$

$=4$

Thus, the expected number of guests until the next one pays by American Express credit card is 4.

(b)

Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:

$P(X=10)=(1-0.20)^{10}\times0.20$

$=0.1073741824\times 0.20\\=0.02147483648\\\approx0.0215$

Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

3 0

3 years ago

Pringles is planning their sales force spending for the next year. Each of their sales people spends about 3400 hours annually a

LUCKY_DIMON [66]

Answer:

459 sales people.

Step-by-step explanation

Time per call (t) = 45 min = 0.75 h

Hours per sales person (H) = 3,400 hours

Number of customers (n) = 40,000 customers

Call frequency (f)= 52 calls per year

The total number of sales people (S) needed, is given by the total time spent on calls for the year, divided by the amount of hours each person spends on sale:

$S=\frac{40,000*0.75*52}{3,400}\\ S=458.8$

Rounding up to the next whole person, Pringles needs 459 sales people.

3 0

3 years ago

Read 2 more answers

Select all of the correct solutions for the following equation

zhuklara [117]

Answer: a,b, and c are the correct solutions

Step-by-step explanation:

You are substituting each (x,y) for the equation given. They must equal the same on both sides.

5 0

2 years ago

Need help answering Will give brainliest to whoever is correct first

Setler [38]

The answer is 5. Measure r and t are congruent. Measure r is 20 so measure t is also 20. So by dividing 20 by 4 you get 5.

5 0

3 years ago

Write an expression that shows how to multiply 7x256 using expanded form and distributive property

Diano4ka-milaya [45]

7(200 + 50 + 6) = (7 x 200) + (7 x 50) + (7 x 6) = 1,400 + 350 + 42 = 1,792

3 0

3 years ago