Describe the domain of y = 3(1/2)^x

saul85 [17]

33 is correct good job

3 0

3 years ago

A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar content of each cigarette is measured. The sampl

zaharov [31]

Answer:

A) -1.40

B) -1.71

C) 0.0872

Step-by-step explanation:

Sample size = n = 25

Sample mean = x = 20.2 mg

Sample standard deviation = s = 3.21 mg

Claim: Sample mean is less than 21.1 mg

So, u = 21.1

Null Hypothesis: u ≥ 21.1 mg

Alternate Hypothesis? u < 21.1 mg

Since we have the sample standard deviation, we will use the t-distribution to answer this question

Part A) t-test statistic

The formula to calculate the t-test statistic is:

$t=\frac{x-u}{\frac{s}{\sqrt{n} } }$

Using the values, we get:

$t=\frac{20.2-21.1}{\frac{3.21}{\sqrt{25} } }\\\\ t=-1.40$

Thus, the value of t-test statistic is -1.40

Part B) Critical Value

In order to calculate the critical value we need the value of significance level and the number of degrees of freedom.

Degrees of freedom = df = n -1 = 25 - 1 = 24

Using t-table or t-critical value calculator for significance level 0.05 and 24 df the value comes out to be:

t-critical = -1.71

Since this is a left tailed test, we have considered the negative t-critical value. Rejection region will be the values less than -1.71 i.e. values which lie to left of -1.71

Part C) P-value

In order to calculate the P-value we need the t-score which we calculated in part A and the degrees of freedom.

Using the t-table or p value calculator the p value for t score of -1.40 and df 24 comes out to be:

p-value = 0.0872

Conclusion:

Since the p-value is larger than the significance level, we fail to reject the claim.

Also the test-statistic does not lie in the rejection region, so another hint that we cannot reject the claim.

Thus, no conclusion can be drawn about the effectiveness of the filters using these tests.

3 0

3 years ago

You were planning on reading the last book of the hunger games. The book is 350 pages long and you have read 3/5 of the book so

Mrac [35]

Hello!

To find this answer, you would have to find out what 3/5 of 350 is.

3/5 of 350 is 210.

Then you subtract 210 from the total amount of pages.

350-210=140

140 is the amount of pages you have left to read.

Hope this helps! :D

3 0

3 years ago

Read 2 more answers

Give three Consecutive iintegers in descending order such that (-4) is the smallest

BaLLatris [955]

Answer:

-2, -3, -4

Step-by-step explanation:

Three consecutive integers in descending order are:

-2 > -3 > -4

6 0

3 years ago

A greeting card company can sell cards for $2.75 each, so the revenue can be calculated using the formula 2.75 Rx . The company’

LuckyWell [14K]

Given that the revenue equation is $R(x)=2.75x$ and the cost equation is $C(x)=0.35x+12,000$

Part A:

At break-even the cost is equal to the revenue.

Thus, the algebraic equation needed to determine when the company will break even is given by

$R(x)=C(x) \\ \\ \Rightarrow2.75x=0.35x+12,000$

Part B:

The solution to part A is given as follows:

$2.4x=12,000 \\ \\ \Rightarrow x=5,000$

Part C:

The algebraic inequality needed to indicate that the revenue is greater than the cost is given by

$R(x)\ \textgreater \ C(x) \\ \\ \Rightarrow2.75x\ \textgreater \ 0.35x+12,000$

Part D:

The solution to part C is given as follows:

$2.4x>12,000 \\ \\ \Rightarrow x>5,000$

Part E:

The answer in part D tells us that the the company will make a profit when the produce more than 5000 cards.

3 0

3 years ago