Answer:
Michael is running for president. The proportion of voters who favor him is 0.3. A simple random sample of 100 voters is taken.
a)
What is the expected value :: n*p = 100*0.8 = 80
standard deviation:: sqrt(n*p*q) = sqrt(80*0.2) = 16
where q is proportion of voters who do not favor Michael. (q=0.2)
and shape of the sampling distribution is binomial distribution which is approximately a bell shaped.
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what is the probability that the number of voters in the sample who will not favor Michael will be more than 16
P(X < 16.0) = P((x - 20) / 4.0) < (16.0 - 20) / 4.0) = P(Z < -1.00) = .1587
P(X > 16.0) = 1 - 0.1587 = 0.8413
Answer:
48 months
Step-by-step explanation:
first take how much you need and add how much you want to leave, so 2500+500=3000. Then delete 600 from 3000, which will give you $2400. divide $2400 by 50 which gives you 48. it will take 48 months to get enough money to purchase a car at $2500 and leave $500 in the account.
Because you now have 31 you - 8 from 31
equation 31-8=e
solve 23 elephant before summer
Answer:
a=40
b=50
c= 115
Step-by-step explanation:
The first angle we will find is angle c
65 and angle c make a straight line so they add to 180
c+65 = 180
Subtract 65 from each side
c+65 -65 =180-65
c = 115
Angle a and 40 are vertical angles
Vertical angles are equal
angle a = 40
The sum of the angles in a triangle are equal to 180
a+b+ right angle = 180
40+ b + 90 = 180
130 +b = 180
Subtract 130 from each side
130-130+b = 180-130
b= 50
Answer:
51/40
Step-by-step explanation:
2/5+7/8
(2*8/5*8)+(7*5/5*8)
16/40+35/40
=>51/40
