A^2 + b^2 = c^2.......a and b r the legs and c is the hypotenuse
8^2 + b^2 = 14^2
64 + b^2 = 196
b^2 = 196 - 64
b^2 = 132.....take square root of both sides, eliminating the ^2
b = square root 132
b = 11.49 rounds to 11.5 <==
Answer:
The value of g in the relative frequency table is 33%.
Step-by-step explanation:
We are given the following information; A 4-column table with 3 rows. The first column has no label with entries likes A, B, total. The second column is labeled C with entries 20%, 32%, 51%. The third column is labeled D with entries g, 16%, 49%. The fourth column is labeled total with entries 53%, 47%, 100%.
Representing the above information in tabular form, we get;
C D Total
A 20% g 53%
B 31% 16% 47%
Total 51% 49% 100%
Now, after seeing the whole table, it is clear that value of g is given by;
20% + g = 53%
g = 53% - 20%
g = 33%
Hence, the value of g in the relative frequency table is 33%.
Answer:
x= -12
Step-by-step explanation:
-22+10 = -12
you have to do the opposite operation
To solve for x, the first thing to do is to distribute the 4 to (x-2). When you do this, you should get 4x-8=4x+10
Then, subtract 4x from both sides and then you are left with -8=10. Because -8 is not equal to 10, meaning the equation you are left with is not a true statement, the answer to this would be that there are no real solutions.
Answer:
a) Binomial.
b) n=20, p=0.01, k≥2
The probability hat a package sold will be refunded is P=0.0169.
Step-by-step explanation:
a) We know that
- the defective probability is constant and independent.
- the sample size is bigger than one subject.
The most appropiate distribution to represent this random variable is the binomial.
b) The parameters are:
- Sample size (amount of clips in the package): n=20
- Probability of defective clips: p=0.01.
- number of defective clips that trigger the money-back guarantee: k≥2
The probability of the package being refunded can be calculated as:
