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rosijanka [135]
3 years ago
15

The diameter of a circle is 8ml. What is the circles radius?

Mathematics
1 answer:
viva [34]3 years ago
6 0
4. take 8 and divide it by 2
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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
Jimmy set his score for his math test. After the math teacher returnee his paper to him, he realized that if he increased his ta
mixer [17]
When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89

8 0
3 years ago
The formula for the cost of buying a car is:
AnnyKZ [126]

Answer:

Step-by-step explanation:

known information:  Monthly payment = 350  deposit = 2000

Formula

12 X monthly payment + deposit=cost of car

12 X        350                +     2000=

12X350+2000=

Parentheses Exponents Multiplication Division Addition Subtraction

12X350=4,200

4,200+2000=6200

Don't forget the pounds sign, because it is money.

7 0
3 years ago
!!!URGENT!!!
GenaCL600 [577]

Answer:

r = 0.

Step-by-step explanation:

The slope = (y2 - y1) / (x2 - x1)

So  (r - (-3)) / (-4-2) = -1/2

(r + 3) / -6 = -1/2

2(r + 3)  = 6

2r + 6 = 6

2r = 6 - 6 = 0

r = 0  (answer).

7 0
3 years ago
Is the following relation a function
sashaice [31]
Yes because each x only has one y output
5 0
3 years ago
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