1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rina8888 [55]
3 years ago
8

What is the range of the following set of numbers

Mathematics
2 answers:
Gre4nikov [31]3 years ago
8 0
It depends what the set of numbers are, but the smallest number should be subtracted from the largest number in that set.
Dennis_Churaev [7]3 years ago
6 0
Big minus small number
You might be interested in
The experimental probability that Pedro will hit a hole in one at the golf course is 2/5. If Pedro goes golfing 40 times in a ye
Sati [7]
I'm pretty sure you would need to multiply 2/5 by 40.

So, if you multiply 2/5 by 40, you need to turn 40 into a fraction with 1 being the denominator.

2/5 x 40/1 = 80/5

Since the product is an improper fraction, you would simplify it to a whole number.

80/5 = 16. 

He can expect to hit it 16 times to get a hole in one.

I hope I am right and have a great day.

6 0
3 years ago
Read 2 more answers
Suppose that a random sample of 10 newborns had an average weight of 7.25 pounds and sample standard deviation of 2 pounds. a. T
frosja888 [35]

Answer:

z=\frac{7.25-7.5}{\frac{1.4}{\sqrt{10}}}=-0.565  

p_v =P(Z  

a) If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true average is not significantly less than 7.5.  

b) \chi^2 =\frac{10-1}{1.96} 4 =18.367  

p_v =P(\chi^2 >18.367)=0.0311

If we compare the p value and the significance level provided we see that p_v >\alpha so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population variance is not significantly higher than 1.96.

Step-by-step explanation:

Assuming this info: "Suppose birth weights follow a normal distribution with mean 7.5 pounds and standard deviation 1.4 pounds"

1) Data given and notation  

\bar X=7.25 represent the sample mean  

s=1.2 represent the sample standard deviation

\sigma=1.4 represent the population standard deviation

n=10 sample size  

\mu_o =7.5 represent the value that we want to test  

\alpha=0.05,0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is less than 7.5, the system of hypothesis would be:  

Null hypothesis:\mu \geq 7.5  

Alternative hypothesis:\mu < 7.5  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{7.25-7.5}{\frac{1.4}{\sqrt{10}}}=-0.565  

4)P-value  

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

p_v =P(Z  

5) Conclusion  

Part a

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true average is not significantly less than 7.5.  

Part b

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

n=10 represent the sample size

\alpha=0.01 represent the confidence level  

s^2 =4 represent the sample variance obtained

\sigma^2_0 =1.96 represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance increase, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \leq 1.96

Alternative hypothesis: \sigma^2 >1.96

Calculate the statistic  

For this test we can use the following statistic:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

\chi^2 =\frac{10-1}{1.96} 4 =18.367

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 9. And since is a right tailed test the p value would be given by:

p_v =P(\chi^2 >18.367)=0.0311

In order to find the p value we can use the following code in excel:

"=1-CHISQ.DIST(18.367,9,TRUE)"

Conclusion

If we compare the p value and the significance level provided we see that p_v >\alpha so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population variance is not significantly higher than 1.96.

4 0
3 years ago
Line t intersects line u as shown below <br><br><br> What is the value of x
Rudiy27

Answer:

x = 117 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, the angle at the top left on line t is equal to theta of the top left on line u and is equal to 117 degrees (corresponding angle)

Also the angle angle on the top left on line u will be equal to x (vertically opposite angle)

Hence the value of x = 117 degrees (vertically opposite to each other on line u)

5 0
3 years ago
Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?
Leviafan [203]

Answer:

 The triangle is not acute because 2² + 4² < 5².

Step-by-step explanation:

4 0
2 years ago
Let f(x) = 5x +7 and g(x) = x-1 . Find f(g(x))
Bogdan [553]

Answer:

f(g(x))=5×(x-1)+7=5x-2

6 0
3 years ago
Other questions:
  • Six friends go out to lunch and decide to split the bill evenly. The bill comes to $61.56. How much does each person owe?
    6·2 answers
  • Whats the product of 6 and 2y − 10x = 6
    8·1 answer
  • Slope.<br> 31) through:(-1,-4). slope = -9<br> Please help
    15·1 answer
  • The value,v, of an investment is given by the function V (t).where t is the number of years since 1995 and v is measured in thou
    15·1 answer
  • How many degrees does the minute hand turn to get from 12:00 to 12:20?
    11·2 answers
  • (4x + 17)<br> What is the measure of AC ?<br> Enter your answer in the box.<br> (4x – 3.5)
    15·1 answer
  • Solve the equation using the Zero­Product Property. 6x(3x + 1) = 0
    11·1 answer
  • Find the product. (a-6)^2=
    12·1 answer
  • I’m stuck on this question if someone could help me I would highly appreciate:)
    8·1 answer
  • Which set is a function?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!