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den301095 [7]
3 years ago
13

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.
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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
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