Answer:
Step-by-step explanation:
3/4 + 3/4 + 3/4 + 3/4 = 12/4 = 3. She will walk 3 miles in an hour.
3x/(x+1) + (x+1)/(2x) + (5/x)
To find the least common denominator, we multiply the denominators that cannot factor into eachother. x, the denominator in 5/x, fits into 2x, so we do not need to multiply this number.
Therefore, the least common denominator is:
2x(x+1)
The first term will be multiplied by 2x/2x
The second term will be multiplied by (x+1)/(x+1)
The third term will be multiplied by 2(x+1)
Answer:
It will have 16 times more coverage than cell tower A.
Answer:
x ∈ [-2, 7]
Step-by-step explanation:
The given equation ...
x^2 -5x -4 ≤ 10
can be rewritten as ...
x^2 -5x -14 ≤ 0
and factored as ...
(x +2)(x -7) ≤ 0
Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.
x ∈ [-2, 7]
Answer:
c. The Mean of Normal Distribution is related to the average of the data set. The Standard deviation is related to data variation.
Step-by-step explanation:
(a) No, mean don't tell us how much the data deviate from the average, Standard deviation tells us. So, Option (a) is incorrect.
(b) No, mean is greatly affected by extreme values. But Median is good to measure central tendency when there is outlier present in data. So, Option (b) is also incorrect.
(c) Here Mean and Standard deviation are correctly defined. Hence, this is only the correct answer.
(d) No, It is the definition of mean not of Standard Deviation. So, this option is also incorrect.
Further, Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.