Answer: The 95% confidence interval is approximately (55.57, 58.43)
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Explanation:
At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.
The sample size is n = 17
The sample mean is xbar = 57
The population standard deviation is sigma = 3
The lower bound of the confidence interval is
L = xbar - z*sigma/sqrt(n)
L = 57 - 1.960*3/sqrt(17)
L = 55.5738905247863
L = 55.57
The upper bound is
U = xbar + z*sigma/sqrt(n)
U = 57 + 1.960*3/sqrt(17)
U = 58.4261094752137
U = 58.43
Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.
10% of the day =10/100×24=2 hours 24 minutes therefore 2 hours 30 minutes is more than 10% of a day
Height of the kite from the ground = 50 feet
Angle at which the kite is flying = 45 degrees
Let us assume the length of the string = x feet
Then
x = 50 * (square root 2)
= 50 * 1.414
= 70.7 feet
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the second option or option "b".
Answer:
C
Step-by-step explanation:
Group like terms
= 2x - x +3 +5
Add the similar 'elements'
= x + 3 + 5
Add the numbers
3 + 5 = 8 + x
= x+8
Answer:
Step-by-step explanation:
Split it into 2 inequalities:
-8 < y + 2x
y + 2x < 14
Isolate y , subtract 2x from first and then from second
-8 -2x < y
y < 14 -2x
Rewrite it so it looks pretty?
y > -2x-8
y < -2x +14
You can use the calculator to graph each inequality.
The solution or the system is the area where the 2 solutions for each line overlap.
