Answer:
With 95% confidence when n equals 44, the population mean is between a lower limit of 33.96 and an upper limit of 40.04
Step-by-step explanation:
Confidence Interval = mean + or - Error margin (E)
mean = 37
sd = 10
n = 44
degree of freedom = n - 1 = 44 - 1 = 43
t-value corresponding to 43 degrees of freedom and 95% confidence level is 2.0165
E = t × sd/√n = 2.0165×10/√44 = 3.04
Lower limit = mean - E = 37 - 3.04 = 33.96
Upper limit = mean + E = 37 + 3.04 = 40.04
95% confidence interval is between 33.96 and 40.04
Answer:
the constant proportionality means the ratio between two directly proportional quantities.
so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25
constant proportionality should be same all through because it's a constant
Answer:
red and green
Step-by-step explanation:
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
Answer:
look the photo
Step-by-step explanation:
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