The answer to the question asked is 5.
The least common multiple of 4 and 6 is 12. In the range 140 to 200, there are
... floor(200/12) - ceiling(140/12) + 1 = 16 - 12 + 1 = 5
integers divisible by 12.
_____
The list of answer choices suggests that the question is intended to be, "how many integers are divisible by 4 or 6?"
The number divisible by 4 is
... floor(200/4) - ceiling(140/4) + 1 = 50 - 35 + 1 = 16
The number divisible by 6 is
... floor(200/6) - ceiling(140/6) + 1 = 33 - 24 + 1 = 10
We know from the above that there are 5 values that are divisible by both 4 and 6, so will be counted twice if we simply add the above numbers. Hence the number of values divisible by 4 or 6 is
... 16 + 10 - 5 = 21 . . . . . corresponds to selection C)
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:
Step-by-step explanation:
لنقود بميراث قنسمضمثهفت فقهقعثنقتلعز فنثيهبتدرقنثهيهلنقنلنث بنيوي فني لر
Answer:
y
−
5
=
−
3
(
x
−
12
)
Explanation:
The point-slope form of the equation of the line is usually written in formula form as
y
−
y
1
=
m
(
x
−
x
1
)
To find a specific line, replace the m with the value for the slope, here m = -3, and the coordinates of the point using the given coordinates,
(
x
1
,
y
1
)
=
(
12
,
5
)
.
Usually the brackets are removed and the equation rearranged.
Step-by-step explanation: