3/6ths according to my math
Answer:
Yes he did break the speed limit
Step-by-step explanation:
If he stuck to the speed limit it would have taken him 6 hours to go 540 kilometers
So we cant do anything until the 'y' in the 2nd problem is by the 2x. So after we move the 2x over the equation will look like this, "-2x+y=-6."
Now that that is set up we can make our equation.
(12x+5y=30) - (-2x+y=-6)
We have to multiply the second equation by -6 in order to cancle out the X's. That comes out to (12x-6y=36)
Now the equation looks like (12x+5y=30) - (12x+6y=36)
After you subtract you have (-y=-6)
divide by (-1) and you're left with y=6
Answer:
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean salary of all graduates from the English department.
Number of sample, n = 400
Mean, u = $25,000
Standard deviation, s = $2,500
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z × standard deviation/√n
It becomes
25000 ± 1.96 × 2500/√400
= 25000 ± 1.96 × 125
= 25000 ± 245
The lower end of the confidence interval is 25000 - 245 =24755
The upper end of the confidence interval is 25000 + 245 = 25245
Therefore, with 95% confidence interval, the mean salary of all graduates from the English department is between $24755 and $25245
H^2=x^2+y^2
9^2=4^2+x^2
81=16+x^2
x^2=65
x=8.1cm
