Answer:
√41, or about 6.4 units
Step-by-step explanation:

√41 is about 6.4 units
Answer:
4.75% probability that the line pressure will exceed 1000 kPa during any measurement
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 problem, we have that:

What is the probability that the line pressure will exceed 1000 kPa during any measurement
This is 1 subtracted by the pvalue of Z when X = 1000. So



has a pvalue of 0.9525
1 - 0.9525 = 0.0475
4.75% probability that the line pressure will exceed 1000 kPa during any measurement
Here's how to convert 0.16666 to a fraction...
There is not much that can be done to figure out how to write 0.16666 as a fraction, except to literally use what the decimal portion of your number, the .16666, means.
Since there are 5 digits in 16666, the very last digit is the "100000th" decimal place.
So we can just say that .16666 is the same as 16666/100000.
The fraction 16666/100000 is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 2.
Why divide by 2? 2 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 16666 and 100000.
So, this fraction reduced to lowest terms is 8333/50000
So your final answer is: 0.16666 can be written as the fraction 8333/50000
Ok...we got 250 people
30% are French, 35% are Americans, 20% are Germans....thats 85%.
This means 15% are from other countries
3 not from other countries...
0.85 * 0.85 * 0.85 = 0.6
0.6(250) = 150 students <===
The amount to be invested today so as to have $12,500 in 12 years is $6,480.37.
The amount that would be in my account in 13 years is $44,707.37.
The amount I need to deposit now is $546.64.
<h3>How much should be invested today?</h3>
The amount to be invested today = future value / (1 + r)^nm
Where:
- r = interest rate = 5.5 / 365 = 0.015%
- m = number of compounding = 365
- n = number of years = 12
12500 / (1.00015)^(12 x 365) = $6,480.37
<h3>What is the future value of the account at the end of 13 years?</h3>
Future value = monthly deposits x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 5.3 / 12 = 0.44%
- n = 13 x 12 = 156
200 x [{(1.0044^156) - 1} / 0.0044] = $44,707.37
<h3>What should be the monthly deposit?</h3>
Monthly deposit = future value / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = 6.7 / 12 = 0.56%
- n = 2 x 12 = 24
$14,000 / [{(1.0056^24) - 1} / 0.0056] = $546.64
To learn more about annuities, please check: brainly.com/question/24108530
#SPJ1