Answer:
(3, 1 )
Step-by-step explanation:
Given the 2 equations
y = - x + 4 → (1)
y = x - 2 → (2)
Substitute y = x - 2 into (1)
x - 2 = - x + 4 ( add x to both sides )
2x - 2 = 4 ( add 2 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (2)
y = 3 - 2 = 1
solution is (3, 1 )
Answer:
4 hours and 30 minutes.
Step-by-step explanation:
660 miles = 1 hour
1320 miles = 2 hours
1980 miles = 3 hours
2640 miles = 4 hours
There are only 330 miles left and that is half of 660mph so therefore it would only take half an hour for these last 330 miles.
So we know that it will be taking 4 hours, you would then add the 30 minutes which gives you 4 hours and 30 minutes.
Hope this helps!
Answer:
c. 25 minutes
Step-by-step explanation:
3x + 10 = 85
3x = 85 - 10
3x = 75
x = 25
Answer:
1) Fail to reject the Null hypothesis
2) We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.
Step-by-step explanation:
A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:

The results of his tests are:
t-value = -1.05
p-value = 0.305
Degrees of freedom = df = 21
Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05
The rule of the thumb is:
- If p-value is equal to or less than the significance level, then we reject the null hypothesis
- If p-value is greater than the significance level, we fail to reject the null hypothesis.
No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.
Conclusion:
We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.
Answer: 7.25 gallons
Step-by-step explanation:
Convert 13¹/₂ to a whole number with a decimal:
= 1/2 = 0.5
= 13.5 gallons of gas
If the gas reduces by 6.25 gallons, the amount of gas remaining will be:
= Starting amount - Amount reduced by
= 13.5 - 6.25
= 7.25 gallons