The sales tax in indiana is 7% if a t-shirt is sold for $5, how much will you pay total?
1 answer:
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Answer:
Step-by-step explanation:
Let be the number of bags with 8 onions and let
be the number of bags with 3 onions. We have the following system of equations:
Subtracting from both sides of the first equation, we get
. Substitute this into the second equation:
Therefore, the number of 8-onion bags is:
Thus, the chef got 4 8-onion bags and 3 3-onion bags.
Answer:
z≈3.16
p≈0.001
we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.
Step-by-step explanation:
As a result of step 2, we can assume normal distribution for the null hypothesis
<em>step 3:</em>
z statistic is computed as follows:
z= where
- X is the proportion of correct answers in the test (
)
- M is the expected proportion of correct answers according to the null hypothesis (0.5)
- p is the probability of correct answer (0.5)
- N is the total number of questions in the test (40)
z= ≈ 3.16
And corresponding p value for the z-statistic is p≈0.001.
Since p<0.05, we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.
Answer:
180
Step-by-step explanation:
Multiply 144 by the reciprocal of , that is
The reciprocal of is
=
, then
× 144 =
= 180