1) We can find the magnitude of a vector(a.k.a. the norm) of a vector and the direction, by making use of the following formulas:
2) In this question, the magnitude and the direction of that vector have been given to us. So, let's do the other way around to identify which one has this magnitude and direction.
Note that since we want a positive value, we need to add 360 degrees.
Answer:
The answer is H
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello!
You need to construct a 95% CI for the population variance of the forces the safety helmets transmit to wearers.
The variable of interest is X: Force a helmet transmits its wearer when an external force is applied (pounds)
Assuming this variable has a normal distribution, the manufacturer expects it to have a mean of μ= 800 pounds and a standard deviation of σ= 40 pounds
A test sample of n=40 was taken and the resulting mean and variance are:
X[bar]= 825 pounds
S²= 2350 pounds²
To estimate the population variance per confidence interval you have to use the following statistic:
And the CI is calculated as:
[;]
[;]
[1577.45; 3867.09] pounds²
Using a confidence level of 95% you'd expect that the interval [1577.45; 3867.09] pounds² contains the value of the population variance of the force the safety helmets transmit to their wearers when an external force is applied.
I hope this helps!
the answer is joint family
Answer:1/870
Step-by-step explanation:
The total number of student in Mr parietti class is 30 (18girls and 12boys). If a student is first chosen at random from the class. The probability of choosing 1 student out of 30 will be 1/30.
He then chose another student without replacing the first, the probability of choosing that second lady will be 1/29 (since the remaining students are 29).
the probability that both students chosen are girls will be 1/30×1/29 = 1/870