Answer:
Step-by-step explanation:
6.
5.75a + 6.5c = 53.25
a + c = 9
c = 9 - a
5.75a + 58.5 - 6.5a = 53.25
5.25 = 0.75a
a = 7
7 + c = 9
c = 2
she bought 7 apple pies
please give brainliest
Answer:
- True for Co-Prime Numbers
- False for Non Co-Prime Numbers
Step-by-step explanation:
<u>STATEMENT:</u> The LCM of two numbers is the product of the two numbers.
This statement is not true except if the two numbers are co-prime numbers.
Two integers a and b are said to be co-prime if the only positive integer that divides both of them is 1.
<u>Example: </u>
- Given the numbers 4 and 7, the only integer that divides them is 1, therefore they are co-prime numbers and their LCM is their product 28.
- However, consider the number 4 and 8. 1,2 and 4 divides both numbers, they are not co-prime, Their LCM is 8 which is not the product of the numbers.
Top answer is -4 because when you divide by a negative your answer will come out negative and bottom answer is 6 because when you multiply two negatives it turns into a positive
Answer:
a. We reject the null hypothesis at the significance level of 0.05
b. The p-value is zero for practical applications
c. (-0.0225, -0.0375)
Step-by-step explanation:
Let the bottles from machine 1 be the first population and the bottles from machine 2 be the second population.
Then we have
,
,
and
,
,
. The pooled estimate is given by
a. We want to test
vs
(two-tailed alternative).
The test statistic is
and the observed value is
. T has a Student's t distribution with 20 + 25 - 2 = 43 df.
The rejection region is given by RR = {t | t < -2.0167 or t > 2.0167} where -2.0167 and 2.0167 are the 2.5th and 97.5th quantiles of the Student's t distribution with 43 df respectively. Because the observed value
falls inside RR, we reject the null hypothesis at the significance level of 0.05
b. The p-value for this test is given by
0 (4.359564e-10) because we have a two-tailed alternative. Here T has a t distribution with 43 df.
c. The 95% confidence interval for the true mean difference is given by (if the samples are independent)
, i.e.,
where
is the 2.5th quantile of the t distribution with (25+20-2) = 43 degrees of freedom. So
, i.e.,
(-0.0225, -0.0375)