Combine the like to simplify the expression: -5y + 12 + 8y − 6 − 2 =
2 answers:
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Amayo943,
Remember that with exponents you have to multiply the number of exponets by the same number it's in for example: In this case you need to know that:
Therefore your answer is "225."
Hope this helps!
Let X be the length of needle produced by machine. X follows Normal distribution with standard deviation σ=0.01
The margin of error ME = 0.005 and confidence interval is 95%
We have to find here sample size n from given information
The formula to find sample size when population standard deviation is known is
n =
where is critical z value for 95% confidence interval
We have confidence level, c=0.95
α = 1- c = 1-0.95 = 0.05
α/2 = 0.05 /2 = 0.025
z (0.025) is z score value for which probability below -z is 0.025 and above z is 0.025
Using z score table to get z critical value
z = -1.96
For confidence interval calculation we use positive z score value 1.96
The sample size will be then
n =
n = 15.3664
Rounding sample size to nearest integer n=15
a sample is needed to determine with a precision of ±0.005 inches the mean length of the produced needles to 95% confidence is 15
Answer:
The answer is 8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2
Step-by-step explanation:
First we need to find diameter of the sphere. The distance point A and point B is:
d/2=r=2.92
radius of the sphere is 2.92 units
and the center of the sphere is:
C=((4+1)/2,(3+3)/2,(7+2)/2)
C=(2.5,3,4.5)
We can write the equation of the sphere as: