Answer:
0.1369
(4.732, 5.268)
Step-by-step explanation:
Given that:
Mean, m = 5
Standard deviation, s = 1.5
Error margin, E = 0.5
Sample size, n = 120
Zcritical at 95% = 1.96
Standard Error of the mean (S. E) :
S. E = s /sqrt(n)
S. E = 1.5 / sqrt(120
S.E = 1.5 / 10.954451
S. E = 0.1369306
S. E = 0.1369
Confidence interval (C. I)
Mean ± (Zcritical * S.E)
5 ± (1.96 * 0.1369)
Lower boundary = 5 - 0.268324 = 4.731676
Upper boundary = 5 + 0.268324 = 5.268324
(4.732, 5.268)
Y=1/2 x +4
Slope = x coefficient = rise/run = 2/4=1/2
Y intercept= constant = 4
Answer:
y=-1/4x-6
Step-by-step explanation:
The problem wants the form y=mx+b where m is the slope and b is the y-intercept.
The y-intercept in this case is -6 (where the line intercepts the y-axis).
We can use points (0,-6) and (4,-7) to calculate the slope. We just divide the difference in y-values by the difference in x-values.
-6-(-7)/0-4=-6+7/-4=1/-4=-1/4
So the equation of the line is y=-1/4x-6
Answer: 0.75 cups of flour to 1 cup of sugar.
Step-by-step explanation:
From the question, we are informed that a recipe calls for 3 cups of flour to 4 cups of sugar and told to calculate the unit rate.
It simply means what we need to calculate much of flour to one cup of sugar. This will be:
= 3/4 = 0.75
Therefore, the unit rate will be:
0.75 cups of flour to 1 cup of sugar.
Answer:
Step-by-step explanation: