Answer:
Step-by-step explanation:
Two trains, Train A and Train B, weigh a total of 167 tons. Train A is heavier than Train B. The difference of their weights is 145 tons. What is the weight of each train?
9514 1404 393
Answer:
25
Step-by-step explanation:
The place whose value is 10^n has n digits to the right of it. This number can be written as ...
0.25840×10^25
which makes the digit 2 be the 25th digit to the left of the decimal point.
There are 25 digits in the Hindu-Arabic form:
2,584,000,000,000,000,000,000,000
Answer:
4.65% probability that a randomly selected customer takes more than 10 minutes
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

Probability that a customer takes more than 10 minutes:
This is 1 subtracted by the pvalue of Z when X = 10. So

has a pvalue of 0.9535
1 - 0.9535 = 0.0465
4.65% probability that a randomly selected customer takes more than 10 minutes
Answer:
width = 1.8 in
length = 3.6 in
height =
Step-by-step explanation:
A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in
Let l , w and h are the length , width and height

Plug it in the first equation

volume the box is length times width times height

To get maximum volume we take derivatived

set the derivative =0 and solve for w

width = 1.8 in
length = 2w= 3.6 in
height =