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2 years ago

Help Needed ASAP!!! Much appreciated.

Mathematics

1 answer:

Rus_ich [418]2 years ago

7 0

Answer: B. $11\times11^4$

Step-by-step explanation:

The laws of exponents say that $\frac{11^8}{11^3} = 11^{8-3}.\\$ In the end, the answer choice should result in $11^5$ .

A is incorrect because $\frac{11^7}{11^7} = 11^{7-7}=11^0=1$ , and $1\neq 11^5$ .

B is correct because the laws of exponents say that $11\times11^4=11^{1+4}=11^5$ . $11$ has an understood power of $1$ .

C is incorrect because $\frac{11^0}{11^5} = 11^{0-5}=11^{-5}$ , and $11^{-5}\neq 11^5$ .

D is incorrect because any base raised to the 0th power will always be 1.

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Answer:

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Step-by-step explanation:

The statistic to test the hypothesis is given by this formula:

$t=\frac{(\bar X_A-\bar X_B)-(\mu_{A}-\mu_B)}{\sqrt{\frac{s_A^2}{n_A}}+\frac{s_B^2}{n_B}}$

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The system of hypothesis on this case are:

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Alternative hypothesis: $\mu_A >\mu_B$

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Alternative hypothesis: $\mu_A -\mu_B>0$

Our notation on this case :

$n_A =50$ represent the sample size for group A

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$s_A=20$ represent the sample standard deviation for group A

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