Answer:
The probability that more than a third of the buyers would prefer brown is 0.8491.
Step-by-step explanation:
This is binomial problem with n=15 and p=0.50.
The binomial formula of probaility is:
P(X=x)=
More than a third of the buyers: 15÷3=5
We have to find P(x>5).
P(x>5) = 1 - P(x≤5) = 1 - P(x=0) - P(x=1) - P(x=2) - P(x=3) - P(x=4) - P(x=5)
P(x=0)=
=0.00003
P(x=1)=
=0.00046
P(x=2)=
=0.00320
P(x=3)=
=0.01389
P(x=4)=
=0.04165
P(x=5)=
=0.09164
P(x>5) = 1 - P(x≤5)= 1- 0.00003 - 0.00046 - 0.00320 - 0.01389 - 0.04165 - 0.09164 = 0.8491
Answer:
90
Step-by-step explanation:
1. Start by making functions for the numbers
2. You can plug in these functions into a graph to figure out the x variable
- The intersection point of the two lines reveals the x and y
- The x would be your answer
3. To check if your x is right, plug it back into the two equations
- .89(90)+36=116.1
- 1.29(90)=116.1
Answer:
Step-by-step explanation:
Given
- 3 rectangular cards
- each card is 8 inches by 9 inches
The way that she can arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter is that:
Put 3 cards together according to the length
So the smallest possible perimeter is:
8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 = 66 inches as you can see in the attached photo.
The area of the polygon is equal to the combined area of the 3 cards without overlapping or extending.
Hope it can find you well.
<h3>
<u>Answer:</u></h3>
x = 12°
<h3>
<u>Step-by-step explanation:</u></h3>
Since both lines are parallel.
Using alternate angle property!
= > Angle A = Angle B
= > 5 x - 15 = 2 x + 21
= > 5 x - 2 x = 21 + 15
= > 3 x = 36
= > x = 12
Therefore, the value of x is 12°.