The angles are 72 degrees and 108 degrees.
Explanation:
Angle 1 : Angle 2 = 2 : 3
Angle 1 = 2k
Angle 2 = 3k
Angle 1 + Angle 2 = 180 (supplementary angles)
2k + 3k = 180
5k = 180
k = 36
Angle 1 = 2k = 2 x 36 = 72 degrees
Angle 2 = 3k = 3 x 36 = 108 degrees
The geometric mean of 8 and 253 is;
<h3>Geometric mean of numbers</h3>
According to the question;
- The task requires that the geometric mean of 8 and 253 be determined.
The geometric mean of a two numbers is the square root the product of the he numbers.
Hence, in this scenario;
The geometric mean of 8 and 253 is;
G.M = 45.
Ultimately, the geometric mean of 8 and 253 is approximately 45.
Read more on geometric mean;
brainly.com/question/23483761
Answer:
7.64% probability that they spend less than $160 on back-to-college electronics
Step-by-step explanation:
Problems of normally distributed samples can be 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:

Probability that they spend less than $160 on back-to-college electronics
This is the pvalue of Z when X = 160. So



has a pvalue of 0.0763
7.64% probability that they spend less than $160 on back-to-college electronics
Answer:
4x + 1
Step-by-step explanation:
note that (f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= x + 3x + 1 ← collect like terms
= 4x + 1
Answer:
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.
Step-by-step explanation: