Answer:
95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.
Step-by-step explanation:
Confidence interval is given as mean +/- margin of error (E)
Data: 5, 15, 12, 22, 27
mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months
sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months
n = 5
degree of freedom = n-1 = 5-1 = 4
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776
E = t×sd/√n = 2.776×7.68/√5 = 9.53 months
Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months
Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months
95% confidence interval is (6.67, 25.73)
Answer:
Yes
Step-by-step explanation:
We have many triangles and we have Isoceles, equilateral and right angled triangle
And when you look at those measurements we can actually construct a right angled triangle from the above measurements.
Hope its Helpful.
Plz brainliest
6 is one of the six total sides on a dice.
P(6)=1/6
1 is one of the six total sides on a dice.
P(1)=1/6
Answer:
Use SOH-CAH-TOA method and figure out which sign you need. SOH- Sin, CAH- Cos, TOA- Tan.
Also,
SOH- opposite/hypotenuse
CAH- adjacent/hypotenuse
TOA- opposite/adjacent
Look at the angle and see which terms you have already. For example, if you had opposite the angle and the adjacent side, you would choose tangent because its TOA. Hope that helps!
first off let's convert the mixed fractions to improper fractions.

she already did half a hat, so we can say 
so she only needs enough fabric to make 3 more full hats, we know each one uses 9/7 ft, so
