Answer:
StGraph the line using the slope and y-intercept, or two points.
Slope: −47
y-intercept: (0,−4)
x y
−7 0
0 −4
step-by-step explanation:
Answer:
both 2x is cancelled
Step-by-step explanation:
3y = 4+5
3y=9
y= 9/3
y=3
put value of y in equation1
2x-3 into 3=4
2x-9=4
2x= 4+9
2x=13
x= 13/2
ok
Answer:
131/4
Step-by-step explanation:
you multiply the denominator by 32 (which is 4) and you add it to the numerator)
32 x 4 = 128
128 + 3 = 131
so your answer is 131/4
and your the answer for your equation 32 3/4 - 12 1/2
32 3/4 − 12 1/2
= 131/4 − 25/2
= 81/4
= 20 1/4
A direct variation suggest that the value of x in the equation would greatly affect the value of y such that when x is increasing, y also increases and the other way around. The equation for a direct variation is that,
y = kx
Substituting the given values in the ordered pair,
5 = k(4) ; k = 5/4
Answer:
The 95% confidence interval for the population mean is between 17.9 and 20.3 years.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.306
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 19.1 - 1.2 = 17.9 years.
The upper end of the interval is the sample mean added to M. So it is 19.1 + 1.2 = 20.3 years.
The 95% confidence interval for the population mean is between 17.9 and 20.3 years.