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2 years ago

Solve the 3D figure Rectangle is A=BH Triangle is A=1/2BH

Mathematics

1 answer:

IceJOKER [234]2 years ago

7 0

Answer:

The area of the 3d figure

Step-by-step explanation:

the area of the one of triangle is 8.7

and the reactangle is 5 x 7 = 35

and the big one is 10 x 7 = 70

so 8.7 + 8.7 + 35 + 35 + 70 = 157.4

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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

Someone please help me

Alexxandr [17]

The answer is C since the 1 in the square root is a horizontal shift to the left by one and a vertical shift up by 7

5 0

3 years ago

Which graph best represents the solution set to this system of inequalities?

Tomtit [17]

Answer:

(3/2, -1/2)

Step-by-step explanation:

add the 2 inequalities together.

you get 2X<3 so x<3/2. plug X back in and solve for y and you get y= -1/2

7 0

2 years ago

Simplify the expression 5^3 x 5^-5

kotykmax [81]

Answer:

$\frac{1}{5^2}$ --- 1 over 5 squared

Step-by-step explanation:

When multiplying terms with a common base, you just add the exponents:

$x^a\times x^b=x^{a+ b}$

That's true even when you don't have any exponents.

$5\times5=5^1\times5^1=5^{1+1}=5^2=25$

$\rightarrow5^3\times5^{-5}\\\rightarrow5^{3-5}\\\rightarrow5^{-2}$

A negative exponent isn't fully simplified, so there's another rule to use:

$x^{-y}=\frac{1}{x^y}$

That is '1 over x to the y' if it's too small to read.

$\rightarrow5^{-2}=\frac{1}{5^2}$

4 0

2 years ago

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5. Which of the following statements are always true? (2 points)

gayaneshka [121]

Answer: A & C

Step-by-step explanation: A. Two parallel lines are coplanar.

C. Two planes that do not intersect are parallel.

8 0

3 years ago

Read 2 more answers