Answer:
The probability of getting a sample with 80% satisfied customers or less is 0.0125.
Step-by-step explanation:
We are given that the results of 1000 simulations, each simulating a sample of 80 customers, assuming there are 90 percent satisfied customers.
Let 
= <u><em>sample proportion of satisfied customers</em></u>
The z-score probability distribution for the sample proportion is given by;
Z = 
~ N(0,1)
where, p = population proportion of satisfied customers = 90%
n = sample of customers = 80
Now, the probability of getting a sample with 80% satisfied customers or less is given by = P( 
80%)
P( 80%) = P( 
) = P(Z -2.24) = 1 - P(Z < 2.24)
= 1 - 0.9875 = <u>0.0125</u>
The above probability is calculated by looking at the value of x = 2.24 in the z table which has an area of 0.9875.
Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,
c > 16.64
Therefore the smallest possible whole number is 17 inches.
Draw a cake or a pie cut into 24 pieces. Then draw 6 figures around the cake. color code each group of 4 pieces of cake and coordinate it with figure.
Ex: If 4 pieces of the cake were red, color one of the figures red so each figure gets 4 pieces of the cake.
Do 21 divided by 2 and you’ll get 10.5 so the original price was $10 and 50 cents
Answer:
probability = 0.2517
Step-by-step explanation:
given data
boy kittens = 9
girl kittens = 6
choose kittens at random = 9
solution
total kitten are = 9 + 6 = 15
first we get here total no of probability that is
n(s) = 15 C 9
n(s) = 
n(s) =5005
and
total way to chose 5 boy kittens is = 9 C 3
n(3) = 
n(3) = 84
and
total way to chose 4 girl kittens is = 6 C 4
n(4) = 
n(4) = 15
so
total way to chose 5 boy kittens and 4 girl kittens is
total way = 84 ×15 = 1260
so probability that the director chooses 5 boy kittens and 4 girl kittens is
probability = 
probability = 0.2517
