Answer:
51 ft
Step-by-step explanation:
a^2 + b^2= c^2
24^2 + 45^2 = c^2
c= 51
Answer:
The speed of 65 mph is an outlier in the distribution of the player's serve speeds
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100 mph
Standard Deviation, σ = 10 mph
Formula:
Outlier on basis of z-score:
- Any z-score greater than 3 or less than -3 is considered to be an outlier.
- This rule of thumb is based on the empirical rule.
Calculation of z-score:
Thus, the speed of 65 mph is an outlier in the distribution of the player's serve speeds as the corresponding z-score is less than -3.
Since there are decimals you could round the decimals to the nearest tenth.
Answer:
The value of x is 120°
Step-by-step explanation:
To solve for x, you need to introduce a third line that is parallel to the two parallel lines.
This line should divide the angle at x into two as shown in the attachment.
By the alternate interior angle property, m=70°
and
n=50°
This implies that, x=50+70=120°