Answer:
a) 94.2 cm
b) 78.5%
Step-by-step explanation:
a) since the square side = 30 cm
it means the diameter = 30 cm
then circumference of the largest circle that can be cut = 3.14×30 = 94.2 cm
b) the perimeter of the square = 30×4 = 120
94.2 for 120
x% for 100%
x = (100×94.2)/120 = 9420/120 = 942/12 = 78.5%
Answer:
a) 95% confidence interval estimate of the true weight is (3.026, 3.274)
b) 99% confidence interval estimate of the true weight is (2.944, 3.356)
Step-by-step explanation:
Confidence Interval can be calculated using M±ME where
- M is the mean of five successive weightings (3.150)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated using the formula
ME=
where
- t is the corresponding statistic in the given confidence level and degrees of freedom(t-score)
- s is the standard deviation of the random error (0.1)
Using the numbers 95% confidence interval estimate of the true weight is:
3.150±
≈3.150±0.124
And 99% confidence interval estimate of the true weight is:
3.150±
≈3.150±0.206
Answer:
The slope would be 5/2.
Step-by-step explanation:
Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.
If the number of adult tickets are taken as x then the number of children’s tickets can be taken as (89 — x ) then we can set up the equation
4.10(x) + 2.70 (89 — x) = 331.30
4.10x + 240.3 — 2.70x = 331.30
1.4x = 331.30 — 240.30
1.4x = 91
X = 65
Therefore 65 adult tickets and 24 children tickets as 89 — 65 is 24