To determine the system of inequality that has been graphed, we need to be very smart.
Observe that all the equations are the same.
Also note that all the lines are solid. This should tell you that the inequities should involve.
Therefore the answer is between option A and B.
So we choose a point in the solution region to discriminate between A and B.
Let us choose the origin since that is easy to evaluate.
We substitute into option A to get.
The above statements are false
We now substitute into option B
Both statements are true, therefore the correct answer is option B.
Answer:
Adult tickets = 84
Children tickets = 33
Step-by-step explanation:
At a play 117 tickets were sold.
Adult's tickets (a) cost $2.50 each and,
Children's (c) tickets cost $1.00 each
Money collected = $243
This is the simultaneous equation formed:
a + c = 117 ... (i)
2.5a + c = 243 ... (ii)
Subtracting (ii) - (i) we get;
1.5a = 126
a = 126 ÷ 1.5 = 84
So there were 84 adult's tickets sold and 117 - 84 = 33 children's tickets sold.
Answer:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
Step-by-step explanation:
Data given
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean exceed 29.9 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The degrees of freedom are given by:
Since is a one sided test the p value would be:
Conclusion
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.
The length of segment St is C.16
Answer:
The coins probability is 1/2 while the dice probability is 1/6
Step-by-step explanation:
The coin only has 2 sides so you split it into halves
The dice has 6 sides so you split it into sixths
