560% as a decimal = 5.6
(move the decimal points 2 spaces to the left.)
560% as a mixed number = 5 3/5
(divide 560 by 100; 100 goes into 560 5 times so 5 will be your whole number and since you have 60 left you divide 60 by 100; 60/100 can be reduced to 3/5 if you divide the numerator and the denominator by 20)
hope this helps :)
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.
Answer:
$90
Step-by-step explanation:
The shoes now cost 130% of the original cost
The original cost is 100%
Take the new amount and divide it by 130:
117/130 = .90
Then multiply that number by 100 to get the original percent
.90 x 100 = $90
To check, multiply $90 by 130% or 1.30 to make sure that a 30% increase makes the product $117
$90 x 1.30 = $117
The formula for the equation of a circle is:
(x - h)^2 + (y - k)^2 = r^2
(h, k) is the center.
So the equation would be:
(x + 2)^2 + (y - 3)^2 = 5^2
or
(x + 2)^2 + (y - 3)^2 = 25
