We can first find the other two angles in the triangle. We are given that one external angle is 90 degrees. Then, its linear pair inside the triangle is 180 - 90 = 90 degrees.
Similarly, the other external angle is 125 degrees. Its supplement inside the triangle is 180 - 125 = 55 degrees.
The total degrees of a triangle should be 180. We have two of the three angles: 55 + 90 = 145 degrees.
To find p which is the third angle, we just do 180 - 145 = 35 degrees.
So, the answer is (C).
Answer:
The probability that the sample proportion will be greater than 13% is 0.99693.
Step-by-step explanation:
We are given that a large shipment of laser printers contained 18% defectives. A sample of size 340 is selected.
Let = <u><em>the sample proportion of defectives</em></u>.
The z-score probability distribution for the sample proportion is given by;
Z = ~ N(0,1)
where, p = population proportion of defective laser printers = 18%
n = sample size = 340
Now, the probability that the sample proportion will be greater than 13% is given by = P( > 0.13)
P( > 0.13) = P( > ) = P(Z > -2.74) = P(Z < 2.74)
= <u>0.99693</u>
The above probability is calculated by looking at the value of x = 2.74 in the table which has an area of 0.99693.
Answer:
a. 135 is the correct answer
Step-by-step explanation:
Want to find out what the total degrees is of the octagon.
Octagon = 1080
Divide 1080 by 8
135 degrees per angle