All categories

2 years ago

4^6 • 4^-8 pls answer

Mathematics

2 answers:

Alex777 [14]2 years ago

4 0

Answer:

$\boxed{4^{-2}}$

Step-by-step explanation:

$4^6 \times 4^{-8}$

When bases are same for exponents and it is multiplication, then add the exponents.

$4^{6+-8}$

$4^{-2}$

jok3333 [9.3K]2 years ago

3 0

Explanation: Since these two powers have the same base of 4, you can multiply them together by simply adding their exponents to get 4⁻².

When applying your exponent rules, the bases don't change!

You might be interested in

The test statistic of zequals2.32 is obtained when testing the claim that pgreater than0.3. a. Identify the hypothesis test as b

Sonja [21]

Answer:

a) We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p > 0.3$

Right tailed test

b) $p_v =P(z>2.32)=0.0102$

c) So the p value obtained was a very low value and using the significance level given $\alpha=0.1$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

Step-by-step explanation:

Part a: Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis: $p > 0.3$

Right tailed test

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

For this case the statistic is given by $z_{calc}= 2.32$

Part b: Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.32)=0.0102$

Part c

So the p value obtained was a very low value and using the significance level given $\alpha=0.1$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

6 0

3 years ago

On Monday Headley paid $1.70 for two of coffee and one doughnut, including the tip. On Tuesday he paid $1.65 for two doughnuts a

stich3 [128]

Answer:

i dont wanna say

Step-by-step explanation:

3 0

2 years ago

Solve the equation for the indicated variable. U=mgh,for h

Alexus [3.1K]

U=mgh ⇒h=U/mg

Answer: h=U/mg