All categories

3 years ago

Which expression is equivalent to (a^8)^4

Mathematics

2 answers:

nlexa [21]3 years ago

6 0

$(a^8)^4=a^{8*4}=a^{32}$

crimeas [40]3 years ago

5 0

The answer is D. Use the power of powers rule and multiply the two exponents together.

You might be interested in

Write a function rule for the statement.

Marizza181 [45]

Always multiply y by 2. And then add on any number you want as long as it’s positive

7 0

4 years ago

Tensile-strength tests were carried out on two different grades of wire rod. Grade 1 has 10 observations yielding a sample mean

LuckyWell [14K]

Answer:

$t = \frac{1085-1034}{\sqrt{\frac{52^2}{10} +\frac{61^2}{15}}} = 2.240$

$df = n_1 +n_2 -2 = 10+15-2= 23$

$p_v = 2*P(t_{23} >2.240) = 0.035$

Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance

Step-by-step explanation:

Data given

$\bar X_1 = 1085$ sample mean for group 1

$\bar X_2 = 1034$ sample mean for group 2

$n_1 = 10$ sample size for group 1

$n_2 = 15$ sample size for group 2

$s_1 = 52$ sample deviation for group 1

$s_2 = 61$ sample deviation for group 2

Solution

We want to check if the two means are equal so then the system of hypothesis are:

Null hypothesis: $\mu_1= \mu_2$

Alternative hypothesis: $\mu_1 \neq \mu_2$

And the statistic is given by:

$t = \frac{\bar X_1 -\bar X_2}{\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}}$

And replacing we got:

$t = \frac{1085-1034}{\sqrt{\frac{52^2}{10} +\frac{61^2}{15}}} = 2.240$

The degrees of freedom are given by:

$df = n_1 +n_2 -2 = 10+15-2= 23$

And the p value would be:

$p_v = 2*P(t_{23} >2.240) = 0.035$

Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance

8 0

4 years ago

Yo so I like need help with this question real quick, It'll be a clutch if u can help. Thanks

solong [7]

What up I’ll try my best to answer

3 0

3 years ago

Bill makes four payments a year of $128.25 for life insurance; four payments of $161.82 for real estate taxes; twenty-four payme

USPshnik [31]

128.25 × 4 = 513
162.82 × 4 = 651.28
37.46 × 24 = 899.04
221.65 × 6 = 1329.9
So add them all up.
3393.22

8 0

3 years ago

Solve Az + By = C for y

Viefleur [7K]

Answer:

y= (C - Az)/B

Step-by-step explanation:

Az +By = C

Az - Az + By = C - Az

By = C - Az

Divide both side by the coefficient of y which is B

therefore we have:

y = (C - Az)/B

7 0

2 years ago

Read 2 more answers