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2 years ago

I'm struggling fr now, pls can you help me answer these questions using the y= mx+ c method thanks!

Mathematics

1 answer:

Phoenix [80]2 years ago

4 0

Answer:

Examination of the equation shows (graph):

x = 0, y = .5

Then .5 = c gives us the value of c giving

y = m x + .5 is our equation

Using y = 0, x = -1 gives

o = -1 * m + .5

m = .5

y = .5 x + .5 for the final equation

Check:

At x = 5, y = 3

3 = .5 (5) + .5 = 3

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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 <em>X</em> 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, <em>p</em> = 0.20.

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

The probability mass function of <em>X</em> 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

Please I really need help with 10-17

Ira Lisetskai [31]

This is for number 10

6 0

3 years ago

Shirley wants to find an estimate for the number of bees in her hive.

Illusion [34]

The estimate for the total number of bees in her hive is 190 bees

<h3>How to find the total estimate of the bees ?</h3>

She catches 90 of the bees on Monday and she puts mark on each bees and return them to her hive.

On Tuesday she catches 120 of the bees. She find out that 20 of the bees has been marked.

This means only 100 bees have not been marked on Tuesday.

Therefore, the total number of bee in her hives is as follows:

total number = 90 + (120 - 20)

total number = 90 + 100

total number = 190 bees

learn more on estimate here:brainly.com/question/16670022

#SPJ1

8 0

2 years ago

Round your answer to the nearest hundreth.

katovenus [111]

Answer:

78.54 is the radius of a circle of 5 inches

Step-by-step explanation:

the formula of the area of a circle is

A = πr^2

When you multiply 5 times 5, you get 25. Then, multiply 25 by pi to recieve 78.54 rounded to the nearest hundredth.

4 0

3 years ago

Use the information to answer the following question.

svlad2 [7]

Since he starts with (10x+7) dollars and is buying two pairs of jeans that each cost (4x-5) dollars you should subtract the cost of the jeans from his starting amount.

(10x+7)-2(4x-5)=
10x+7-8x+10=
2x+17

8 0

2 years ago