Answer:
8.6
Step-by-step explanation:
a^2+b^2=c^2
7^2+5^2=c^2
49+25=c^2
74=c^2
8.6=c
Answer: infinitely many solutions
Step-by-step explanation: A system of two equations can be classified as follows:
If the slopes are the same but the y-intercepts are different, the system has no solution.
If the slopes are different, the system has one solution.
If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
1.8 is the answer rounded
Answer:
x= 14
Step-by-step explanation:
sqrt( x-5) = x-11
Square each side
(sqrt( x-5))^2 = (x-11)^2
x-5 = x^2 - 22x +121
Subtract (x-5) from each side
x-5-x+5 = x^2 -22x +121 -x+5
0 = x^2 -23x +126
Factor
0 = ( x-14) ( x-9)
Using the zero product property
x-14 = 0 x-9=0
x=14 x=9
Check the solutions
sqrt( x-5) = x-11
sqrt( 14-5) = 14-11
sqrt(9) = 3
3=3
solution
sqrt( x-5) = x-11
sqrt(9-5) = 9-11
sqrt(4) =-2
2 = -2
not a solution
Answer:
The test statistic is t = 3.24.
Step-by-step explanation:
We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.
This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation of the sample and n is the size of the sample.
0 is tested at the null hypothesis:
This means that 
Randomly select 10 cars
This means that 
The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.
This means that 
Calculate the test statistic.
The test statistic is t = 3.24.
