2 supplementary angles when added together need to equal 180 degrees.
Add:
3x-23 + 2x-12 = 180
Simplify:
5x -35 = 180
Add 35 to both sides:
5x = 215
Divide both sides by 5:
X = 43
Now replace x with 43 in the equation for angle b:
2(43) -12 = 86-12 = 74 degrees
Angle B = 74 degrees
Answer: 79
Step-by-step explanation:
Line up the numbers from least to greatest. 39, 42, 44, 51, 55, 62, 66, 72, 77, 81, 94, 86 Then find the Median. Look at the upper part of the data set and from there find the 3rd quartile.
Answer:
0.6604
Step-by-step explanation:
Given that a market research firm knows from historical data that telephone surveys have a 36% response rate.
Sample size of random sample = 280
We know for samples randomly drawn of large size sample proportion follows a normal distribution with mean= sample proportin and std error
= 
Substitute p = 0.36 and q = 1-0.36= 0.64
p follows N with mean = 0.36 and std dev = 
Using normal distribution values we can find\

Answer:
Step-by-step explanation:
if there are 10 girls and 6 boys total we have 16 students. Divide 10 by 16 which give 62% a girl will be picked and for boys divide 6 by 16 which is 38% a boy will be picked.