Answer: 0.4302
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Also, these distances are normally distributed.
Then , the formula to calculate the z-score is given by :-

For x=32.5

For x=40.5

The p-value = 

Hence, the required probability :-0.4302
Answer:
10 rad 3 / 2
Step-by-step explanation:
x = missing angle of the full traingle
180 - (90 + 60) = x
180 - 150 = x
30 = x
10 rad 3 / 2 = x
this is just my understanding of the problem- im sorry if im incorrect
Answer:
<h2>x < 33.84</h2>
Step-by-step explanation:
13.48x − 200 < 256.12
Using the addition property , add 200 to both sides
That's
13.48x + 200 - 200 < 256.12 + 200
13.48x < 456.12
<u>Divide both sides by 13.48</u>

We have the final answer as
x < 33.84 to the nearest hundredth
Hope this helps you
Answer:
Q = 40.6°
Explanation:
Given three sides: 9.6, 8.1, 6.3
Use the cosine rule:
c² = a² + b² - 2ab cos(C)
Insert following variables:
6.3² = 9.6² + 8.1² - 2(9.6)(8.1) cos(Q)
39.69 = 157.77 - 155.52 cos(Q)
cos(Q) = -118.08/-155.52
cos(Q) = 41/54
Q = cos⁻¹(41/54) = 40.6°