Answer:
Event is not unusual(p>0.05).
Step-by-step explanation:
Given that :
#The sample proportion is calculated as:
#Mathematically, the z-value is the value decreased by the mean then divided the standard deviation :
#We use the normal probability table to determine the corresponding probability;
Hence, the probaility is more than 0.05, thus the event not unusual and thus this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.
Answer:2b+9
Step-by-step explanation:
Answer:
1)A parabola is defined as a set of points in a plane which are equidistant from a straight line or directrix and focus.
The hyperbola can be defined as the difference of distances between a set of points, which are present in a plane to two fixed points is a positive constant.
2)A parabola has single focus and directrix
A hyperbola has two foci and two directrices
3)Eccentricity, e = 1(parabola)
Eccentricity, e>1(hyperbola)
4)The two arms present in a parabola should be parallel to each other
The arms present in hyperbola are not parallel to each other
5)It has no asymptotes(parabola)
It has two asymptotes(hyperbola)
Answer:
<u>There were 12 gold coins in the chest at the start.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
x = Number of gold coins in a chest
1/2x = Number of gold coins taken by the captain
1/4x = Number of gold coins taken by Sally
3 = Number of gold coins left
2. How many coins were in the chest at the start?
Let's write the following equation to solve for x:
1/2x + 1/4x + 3 = x
2x + x + 12 = 4x (Lowest Common Denominator is 4)
4x - 2x - x = 12 (Like terms)
x = 12
<u>There were 12 gold coins in the chest at the start.</u>
Answer: 20x+12
Step-by-step explanation:
Distribute the three: 3(7x+4) will be changed to 21x+12-x
Next group like terms, -x+21x=20x
The new equation will be 20x+12
