Answer:
Step-by-step explanation:
x² = 40² + 9²
= 1600 + 81
x² = 1681
x = √1681
x= 41
Answer: 1/5 or 0.2 in decimal form.
Explanation:
There are 60 seconds in a minute. We know the river flows 12 ft per 1 minute. So in order to find the rate per seconds, divide: 60/12. You get the answer: 1/5 or 0.2 in decimal form.
Answer:
0.2611 = 26.11% probability that exactly 2 calculators are defective.
Step-by-step explanation:
For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
5% of calculators coming out of the production lines have a defect.
This means that 
Fifty calculators are randomly selected from the production line and tested for defects.
This means that 
What is the probability that exactly 2 calculators are defective?
This is P(X = 2). So


0.2611 = 26.11% probability that exactly 2 calculators are defective.
Answer:
-12
Step-by-step explanation:
f(-3)= -(-3)2 + 6(-3)
= -(-6) -18
= 6 - 18
= - 12
Answer:
x=8.2
Step-by-step explanation:
First, figure out which trig function you are going to use.
In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.
sin (55) =opposite/hypotenuse
sin (55) =x/10
multiply both sides by 10 to get 10 * sin (55) = x
10 * sin (55) = 8.2