Answer:
x = 70°
Step-by-step explanation:
x = one of the congruent angles in the triangle
Given angle measure: 40°
x = ? + ? = 180 - 40 = 140
x = 70
Answer: Well if i am correct she would be cutting acute angles.
Answer:
P ( 5 < X < 10 ) = 1
Step-by-step explanation:
Given:-
- Sample size n = 49
- The sample mean u = 8.0 mins
- The sample standard deviation s = 1.3 mins
Find:-
Find the probability that the average time waiting in line for these customers is between 5 and 10 minutes.
Solution:-
- We will assume that the random variable follows a normal distribution with, then its given that the sample also exhibits normality. The population distribution can be expressed as:
X ~ N ( u , s /√n )
Where
s /√n = 1.3 / √49 = 0.2143
- The required probability is P ( 5 < X < 10 ) minutes. The standardized values are:
P ( 5 < X < 10 ) = P ( (5 - 8) / 0.2143 < Z < (10-8) / 0.2143 )
= P ( -14.93 < Z < 8.4 )
- Using standard Z-table we have:
P ( 5 < X < 10 ) = P ( -14.93 < Z < 8.4 ) = 1
Answer: (-19/80, -1/2)
Step By Step Explanation:
First you want to do 2/5 - 7/8. Once you get -19/40, you want to divide it by 2. After doing this step, you will get -19/80. Next, you want to do the same thing with the other one. -2/5 -3/5 or 2/5+3/5 except the answer will be negative. Now you get -1/2. Therefore, the answer is (-19/80, -1/2). Sorry if my explanation is trashy.
