Answer:
CI = (70.861 , 94.418)
Step-by-step explanation:
In order to determine the 90% confidence interval you use the following formula (for a population approximately normal):
(1)
: mean = 82.64
σ: standard deviation = 14.32
n: sample = 4
α: tail area = 1 - 0.9 = 0.1
Z_α/2 = Z_0.05: Z factor = 1.645
You replace these values and you obtain:
The confidence interval will be:
The 90% confidence interval is (70.861 , 94.418)
Answer:
x = 40
Step-by-step explanation:
The three angles in a triangle add to 180 degrees
x + 30 + (3x-10) = 180
Combine like terms
4x +20 = 180
Subtract 20 from each side
4x+20-20 = 180-20
4x= 160
Divide each side by 4
4x/4 =160/4
x = 40
Answer:
Sorry but I don't know
Step-by-step explanation:
The correct result would be y = -6/5 - (2 * sqrt(6))/5 and<span> y = (2 * sqrt(6))/5 - 6/5.
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Let x be the number of pens in a box.
Jill : three full boxes of pen and 2 loose pens. 3x + 2
Ben: two full boxes of pen and 14 loose pens. 2x + 14
Jill and Ben have the same pens.
Jill = Ben
3x+2 = 2x + 14
3x - 2x = 14 - 2
1x = 12
x = 12
To check:
Jill = Ben
3x + 2 = 2(x) + 14
3(12) + 2 = 2(12) + 14
36 + 2 = 24 + 14
38 = 38
There are 12 pens or a dozen of pens in a full box.
