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3 years ago

Simplify the expression below (X^3)^2

Mathematics

2 answers:

ozzi3 years ago

7 0

Answer= x^6

When two exponents are multiplied together the two exponents multiply.

slega [8]3 years ago

4 0

X^(3•2) =X^ 6

Think of an example such as :

(2^3)^2=8^2=64 is the same with

2^(3•2) = 2^6 = 64

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One hundred items are simultaneously put on a life test. Suppose the lifetimes

romanna [79]

Answer:

a) $\mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}$

b) $\mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}$

Step-by-step explanation:

Given:

The lifetimes of the individual items are independent exponential random variables.

Mean = 200 hours.

Assume, Ti be the time between ( $i-1$ )st and the $ith$ failures. Then, the $T_{i}$ are independent with $\mathrm{T}_{\mathrm{i}}$ being exponential with rate $\frac{(101-i)}{200} .$

Therefore,

a) $E[T]=\sum_{i=1}^{5} E\left[\tau_{i}\right]$

$=\sum_{i=1}^{5} \frac{200}{101-i}$

$\therefore \mathrm{E}[\mathrm{T}]=\sum_{\mathrm{H}}^{5} \frac{200}{101-i}$

$b)$

The variance is given by, $\mathrm{Var}[\mathrm{T}]=\sum_{i=1}^{5} \mathrm{Var}[T]$

$\therefore \mathrm{Var}[\mathrm{T}]=\sum_{k=1}^{5} \frac{(200)^{2}}{(101-i)^{2}}$

7 0

4 years ago

Andrew wants to build a slide for his daughter’s tree house. If the tree house is 5 ft off the ground and he wants the slide to

Lapatulllka [165]

Andrew is wanting to build a slide for his daughter's tree house in the backyard. The tree house is approximately 5 feet off the ground and he wants the slide to have a 30 degree angle with the ground. He will need to by 10 ft of sliding board.

3 0

3 years ago

What’s is the answer

Rzqust [24]

Answer:

383.5

Step-by-step explanation:

3835 ÷ 10 = 383.5

Move the 5 to the Tenths

4 0

3 years ago

Read 2 more answers

PLEASE help me! I need this by Today!! anyone

geniusboy [140]

Answer:

x=12

Step-by-step explanation:

Cross multiply them:

84 = 7x

Divide By 7 on both sides

12 = x

And there is the answer. Sorry I couldn't explain better Im really not feeling good today

3 0

2 years ago

Read 2 more answers

Prediction of the value of the dependent variable outside the experimental region is called _____. Group of answer choices inter

denpristay [2]

Prediction of the value of the dependent variable outside the experimental region is called extrapolation.

According to the question,

Prediction of the value of the dependent variable outside the experimental region is called extrapolation.

Extrapolation is the statistical method beamed at understanding the unknown data from the known data.

Hence, prediction of the value of the dependent variable outside the experimental region is called extrapolation.

Learn more about Extrapolation here

brainly.com/question/14643498

#SPJ4

7 0

2 years ago