-32.48-(14.014)
- (32.48 + 14.014)
add 32.48 +14.014 by lining up the decimal
32.48
+ 14.014
------------
46.494
then bring back the negative
-(46.494)
Answer: -46.494
Answer:
m∠A = 59°
Step-by-step explanation:
Supplementary angles mean that, when the two are combined, their total measurement will equal 180°.
It is given that one of the angles is 121°. Subtract 121 from 180:
180 - 121 = 59
m∠A = 59°
~
Answer: its b
Step-by-step explanation:
Answer:
- p=0.7103 (4-game series)
- p=0.6480 (2-game series)
Step-by-step explanation:
Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters n=4, p=0.6:

#We find probabilities for the different values of i:

Hence, probability of the stronger team winning overall is:

#Define Y as the random variable for winning 2/3 games.:

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480
The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)
Answer:
The probability that the student answers at least seventeen questions correctly is
.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of correctly answered questions.
It is provided all the questions have five options with only one correct option.
Then the probability of selecting the correct option is,

There are <em>n</em> = 20 question in the exam.
It is also provided that a student taking the examination answers each of the questions with an independent random guess.
Then the random variable can be modeled by the Binomial distribution with parameters <em>n</em> = 20 and <em>p</em> = 0.20.
The probability mass function of <em>X</em> is:

Compute the probability that the student answers at least seventeen questions correctly as follows:


Thus, the probability that the student answers at least seventeen questions correctly is
.