Simplify -3 square root of 84x^3

What is the decimal equivalent to 34 % ?

Keith_Richards [23]

Answer:

.34

Step-by-step explanation:

34% = 34/100 = .34

All percents are out of 100

3 0

3 years ago

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I NEED HELP FAST ON #6 PLEASE HELP!

Advocard [28]

Answer:

money owed (in order): $850, $870.40, $891.29, $912.68

Step-by-step explanation:

The formula is

money owed = amount owed the previous week + amount owed previous week × interest rate (in decimal form)

so thats:

money owed = amount owed the previous week + amount owed previous week × 0.024

we can simplify that to:

money owed = amount owed the previous week x (1.024)

after 0 weeks:

$850 (just started, no interest added)

after 1 week:

$870.40

after 2 weeks:

$891.29

after 3 weeks:

$912.68

4 0

3 years ago

he number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.02

Yakvenalex [24]

Answer:

a) 98.01%

b) 13.53\%

c) 27.06%

Step-by-step explanation:

Since a car has 10 square feet of plastic panel, the expected value (mean) for a car to have one flaw is 10*0.02 = 0.2

If we call P(k) the probability that a car has k flaws then, as P follows a Poisson distribution with mean 0.2,

$P(k)= \frac{0.2^ke^{-0.2}}{k!}$

a)

In this case, we are looking for P(0)

$P(0)= \frac{0.2^0e^{-0.2}}{0!}=e^{-0.2}=0.9801=98.01\%$

So, the probability that a car has no flaws is 98.01%

b)

Ten cars have 100 square feet of plastic panel, so now the mean is 100*0.02 = 2 flaws every ten cars.

Now P(k) is the probability that 10 cars have k flaws and

$P(k)= \frac{2^ke^{-2}}{k!}$

and

$P(0)= \frac{2^0e^{-2}}{0!}=0.1353=13.53\%$

And the probability that 10 cars have no flaws is 13.53%

c)

Here, we are looking for P(1) with P defined as in b)

$P(1)= \frac{2^1e^{-2}}{1!}=2e^{-2}=0.2706=27.06\%$

Hence, the probability that at most one car has no flaws is 27.06%

6 0

3 years ago

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Convert the mixed number to an improper fraction. enter your answer below using the slash mark ( / ) as the fraction bar

eduard

The Answer Fam Is 99/10

5 0

3 years ago

In stage 2 of a rocket's takeoff, the speed of the rocket increases at a rate of 4.3% per minute. The speed of the rocket at the

Sveta_85 [38]

The correct option is: B. $25000=5000(1.043)^t$

Explanation

The general form of growth equation is: $A=P(1+r)^t$ , where A = final amount, P = initial amount, r = growth rate in decimal form and t = time duration

Here, the speed of the rocket at the beginning was 5,000 kilometers per hour and at the end will be 25,000 kilometers per hour. The speed increases at a rate of 4.3% per minute.

That means, $A= 25000 , P= 5000, r= 4.3\% = 0.043$

Now plugging these values into the above equation, we will get......

$25000=5000(1+0.043)^t\\ \\ 25000=5000(1.043)^t$

So, the equation that could be used to determine the time for the speed of the rocket to reach 25,000 kilometers per hour will be: $25000=5000(1.043)^t$

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3 years ago

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