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2 years ago

Simplify (4^2)^5 ^ = exponent please help will award the Brainlyest

Mathematics

1 answer:

Marrrta [24]2 years ago

3 0

Answer:

Step-by-step explanation:

Here you go mate'

step 1

(4^2)^5 equation

step 2

(4^2)^5 multiply the equation 5 times

(4^2)(4^2)(4^2)(4^2)(4^2)

step 3

(4^2)(4^2)(4^2)(4^2)(4^2) solve

4^10

answer

4^10=1048576

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Adam cut a piece of string 42 inches long into 2 pieces. The ratio of the length of the 2 peices is 3:4, what is the length, to

jek_recluse [69]

Answer:

Shorter piece length is 18 inches

Step-by-step explanation:

Let's marked first piece with x and second with y

x + y = 42

Given ratio is x : y = 3 : 4

From this proportion we get

x = 3 c and y = 4 c where c is coefficient of proportionality

when we replace this in initial equation we get

3 c + 4 c = 42 => 7 c = 42 => c = 42/7 = 6 c = 6

x = 3 · 6 = 18 inches and z = 4 · 6 = 24 inches

shorter piece is x = 18 inches

God with you!!!

6 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,

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

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%

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%

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

Read 2 more answers

The volume of a cube is 124 cubic inches. What is the side length of the cube?

ivolga24 [154]

Answer:

4.987 in

Step-by-step explanation:

Volume of a cube= (where x= side)

x³

we know that

124=x³

∛124=x

x=4.986630952 which rounds to

4.987

8 0

3 years ago

Read 2 more answers

he following data set shows the number of dogs counted in a local park each Saturday for 4 months. 33, 36, 31, 37, 37, 38, 31, 3

lana66690 [7]

General Idea:

To create a dot plot for a set of data we should list the data from lowest to greatest number. Then create a number line which covers all the numbers given in the data. We need to plot number of circles one above as many times based on the frequency of the data.

Applying the concept:

33, 36, 31, 37, 37, 38, 31, 37, 35, 31, 38, 32, 36, 33, 38

Listing the data in ascending order we get

31, 31, 31, 32, 33, 33, 35, 36, 36, 37, 37, 37, 38, 38, 38

We need to plot three circles above 31, one circle above 32, two circles above 33, one above 35, two above 36, three above 37, and three above 38.

Conclusion:

Out of the four options, the correct option is B because that is the only dot plot representing the given set of data.