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3 years ago

Look at the diagram. Which of the following is another name for < 1

Mathematics

2 answers:

Naddika [18.5K]3 years ago

8 0

Another name for ∠1 is
A. ∠CBA

Mariana [72]3 years ago

4 0

Answer: A. ∠CBA

Step-by-step explanation:

We need three points to write a name of an angle. One point on each ray with the vertex lies in the middle.

There are total three ways to write a name of an angle.

For example :- M and N are points on each ray of an angle with vertex O.

Then, the name of angle can be ∠O, ∠MON or ∠NOM.

From the given picture , it can be observe that A and C are points on each ray of ∠1 with vertex B.

Then, the possible name of ∠1 will be ∠B , ∠ABC or ∠CBA.

Since, ∠CBA in given in option A.

Thus OPTION A is the correct option.

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Describe independent and dependent variables.

NemiM [27]

Dependent variables: A variable whose value depends on the value of another variable or variables

independent variable: A variable whose value determines the value of another variable or variables

7 0

3 years ago

Read 2 more answers

a math teacher claims that she has developed a review course that increases the score of students on the math portion of a colle

madam [21]

Answer:

$H_0: \mu\leq514\\\\H_1: \mu>514$

B. Z=2.255. P=0.01207.

C. Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.

D. P(z>0.94)=0.1736

Step-by-step explanation:

A. state the null and alternative hypotheses.

The null hypothesis states that the review course has no effect, so the scores are still the same. The alternative hypothesis states that the review course increase the score.

$H_0: \mu\leq514\\\\H_1: \mu>514$

B. test the hypothesis at the a=.10 level of confidence. is a mean math score of 520 significantly higher than 514? find the test statistic, find P-value. is the sample statistic significantly higher?

The test statistic Z can be calculated as

$Z=\frac{M-\mu}{s/\sqrt{N}} =\frac{520-514}{119/\sqrt{2000}}=\frac{6}{2.661}=2.255$

The P-value of z=2.255 is P=0.01207.

The P-value is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

Then we can conclude that the score of 520 is significantly higher than 514, in this case, specially because the big sample size.

C. do you think that a mean math score of 520 vs 514 will affect the decision of a school admissions adminstrator? in other words does the increase in the score have any practical significance?

Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.

D. test the hypothesis at the a=.10 level of confidence with n=350 students. assume that the sample mean is still 520 and the sample standard deviation is still 119. is a sample mean of 520 significantly more than 514? find test statistic, find p value, is the sample mean statisically significantly higher? what do you conclude about the impact of large samples on the p-value?

In this case, the z-value is

$Z=\frac{520-514}{s/\sqrt{n}} =\frac{6}{119/\sqrt{350}} =\frac{6}{6.36} =0.94\\\\P(z>0.94)=0.1736>\alpha$

In this case, the P-value is greater than the significance level, so there is no evidence that the review course is increasing the scores.

The sample size gives robustness to the results of the sample. A large sample is more representative of the population than a smaller sample. A little difference, as 520 from 514, but in a big sample leads to a more strong evidence of a change in the mean score.

Large samples give more extreme values of z, so P-values that are smaller and therefore tend to be smaller than the significance level.

8 0

2 years ago

2 and 5. What is the LCM?

Masja [62]

Well, first of all, LCM means Lowest Common Multiple. So you have to write out the factors of each of the numbers. So that will be;
2= 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
5=5, 10, 15, 20
So now, you have to pick out the numbers that are common to both numbers. So;
10, 20
10 and 20 are the only common numbers. So you have to look for the lowest common number. And that is 10. So the LCM is 10.. Hope i helped. Have a nice day.

5 0

2 years ago

Translate this sentence into an equation. 53 is the sum of 10 and Malik's savings. Use the variable m to represent Malik's savin

Ronch [10]

Answer:

m+10=53

Step-by-step explanation:

maliks savings=43

4 0

2 years ago

To complete a task in 15 days a company needs 4 people each working for 8 hours per day. the company decides to have 5 people ea

Lilit [14]

It would take 16 days
explanation
if it takes 15 for 4 people to work 8 hours to complete the task, it would be a total of 480 hours. I multiplied 15x4x8. i multiplied 5x6 to get 30. I have to find the third value so i divided 30 from 480 to get 16.

3 0

3 years ago