Answer:
Area = 1/2 Base x height
Step-by-step explanation:
To find the area of a triangle, multiply the base of the height and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into two triangles.
Answer:
20 bracelets
Step-by-step explanation:
Since they must use 4 charms per bracelet, 80 divided by 4 is 20 so 20 bracelets can be made.
Answer:
The test statistic for Norah's test is 
Step-by-step explanation:
Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.
This means that at the null hypothesis we test if the sample mean is 500 ml, that is:

At the alternate hypothesis, we test if it is differente than 500 ml, that is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
500 is tested at the null hypothesis:
This means that 
She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml.
This means that 
Calculate the test statistic for Norah's test.



The test statistic for Norah's test is 
Answer:
95% Confidence interval: (0.8449,0.9951)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 50
Number of times the dog is right, x = 46
95% Confidence interval:
Putting the values, we get:
(0.8449,0.9951) is the required 95% confidence interval for the proportion of times the dog will be correct.
The answer is $11.25 because 110-8.75÷9