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2 years ago

Find x . 8 4√2 √8 16

Mathematics

1 answer:

love history [14]2 years ago

8 0

Answer:

Step-by-step explanation:

$(8\sqrt{2}) ^{2} = 128 \\128 / 2 = 64\\x= \sqrt{64} = 8$

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Cycle City charges an initial price of $15 plus $0.75 per hour for bike rentals, which is

Novosadov [1.4K]

Answer:

See Explanation

Step-by-step explanation:

Given

$Rentals = 15 + 0.75h$

Solving (a): What does h represents

From the instruction in the question, we understand Cycle city charges an additional 0.75 per hour.

This implies that h represents the additional hour of rentals

Solving (b): What does 15 represents

From the instruction in the question, we understand Cycle city charges an a base charge of $15

This implies that 15 represents the base charge

Solving (c): 0.75h

Referring back to (a) where h represents the additional hour of rentals

0.75h represents the total charges for the additional hour

6 0

3 years ago

The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05

Tresset [83]

Answer:

(a) Probability that there are no surface flaws in an auto's interior is 0.6065 .

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws is 0.00673 .

Step-by-step explanation:

We are given that the number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05 flaws per square foot of plastic panel.

Let X = Distribution of number of surface flaws in plastic panels

So, X ~ Poisson( $\lambda$ )

The mean of Poisson distribution is given by, E(X) = $\lambda$ = 0.05

which means, X ~ Poisson(0.05)

The probability distribution function of a Poisson random variable is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!}; for x=0,1,2,3...$

Now, we know that $\lambda$ for per square foot of plastic panel is 0.05 and we are given that an automobile interior contains 10 square feet of plastic panel.

Therefore, for 10 square foot of plastic panel is = 10 * 0.05 = 0.5

(a) Probability that there are no surface flaws in an auto's interior =P(X=0)

P(X = 0) = $\frac{e^{-0.5}*0.5^{0}}{0!}$ = $e^{-0.5}$ = 0.6065

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws = $P(X = 0)^{10}$

So, $P(X = 0)^{10}$ = $0.6065^{10}$ = 0.00673

8 0

3 years ago

Please someone who to help me to solve this question.

Lorico [155]

First you have make the 2 and a half into 5/2. Then you have to find a common denominator of the two fractions, which would be 8. So the 7/8 you dont need to do anything to but the 5/2 you do... so multiply both the top and the bottom by 4 so you can get 8 on the bottom. that would be 20/8. now you can add them. so 7/8 + 20/8 = 27/8

6 0

2 years ago

Read 2 more answers

What angles are supplementary angles?

Blizzard [7]

Answer:

I,K F,H L,E J,G K,J H,G F,G I,J L,J G,E

6 0

2 years ago

how much interest does $1,000 earn at an interest rate of 6% compounded semi annually? what is the balance after 2 years

Contact [7]

Answer:

Interest = A - P = 1015 - 1000 = $15

Step-by-step explanation:

3 0

2 years ago