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Drupady [299]
2 years ago
12

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!}

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
Read 2 more answers
The volume of a cube is 124 cubic inches.<br> 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 <u>three </u>circles above 31, <u>one</u> circle above 32, <u>two</u> circles above 33, <u>one</u> above 35, <u>two </u>above 36, <u>three </u>above 37, and <u>three</u> above 38.

Conclusion:

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

7 0
3 years ago
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Find the following measure for this figure.
uranmaximum [27]

Answer:

The correct option is 1. The circumference of circle is 12π units.

Step-by-step explanation:

From the given figure it is clear that the radius of the circle is6 units.

The circumference of a circle is

C=2\pi r

Where, r is the radius of the circle.

The circumference of the circle is

C=2\pi (6)

C=12\pi

The circumference of circle is 12π units.

Therefore option 1 is correct.

5 0
3 years ago
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