What is the value of (16^3/2)^1/2

For what values of b will F(x) = logbx be a decreasing function?

Anastasy [175]

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

$F(x) = \log_{b}{(x)}$

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

3 0

3 years ago

which one in the following is the correct option for fill in the blank :conduction, induction, electromagnetism>?the process

lana [24]

The answer is conduction

7 0

3 years ago

Solve for n: -16 + 3n = -(8 +5n)

umka21 [38]

-16 + 3n = -(8 + 5n)

The - sign outside the parentheses acts as a -1, and so it is distributed to each term in the parentheses.

-16 + 3n = -8 - 5n

+16

3n = 8 - 5n

+5n

8n = 8

/8

n = 1

6 0

3 years ago

Read 2 more answers

I need help with this question.

fredd [130]

Answer:

They are incorrect.

Step-by-step explanation:

Both iscocoles and right angled triangles are very similar. They both measure differently and are not the same,

8 0

3 years ago

Read 2 more answers

A larger survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most

Oksi-84 [34.3K]

Answer:

$z=\frac{0.253 -0.24}{\sqrt{\frac{0.24(1-0.24)}{75}}}=0.264$

$p_v =2*P(z>0.264)=0.792$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people said that blue is their favorite color is not differetn from 0.24 or 24% at 5% of significance.

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

X=19 represent the number of people said that blue is their favorite color

$\hat p=\frac{19}{75}=0.253$ estimated proportion of people said that blue is their favorite color

$p_o=0.24$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion differs from 0.24 nor no.:

Null hypothesis: $p=0.24$

Alternative hypothesis: $p \neq 0.24$

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

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.253 -0.24}{\sqrt{\frac{0.24(1-0.24)}{75}}}=0.264$

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 significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>0.264)=0.792$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people said that blue is their favorite color is not differetn from 0.24 or 24% at 5% of significance.

6 0

3 years ago