Answer:
Area of the sector = 29.48 square miles.
Step-by-step explanation:
Given:
Radius of a circle = 13 miles
Angle bounded by the arc = 20 deg
To find
Area of the sector bounded by 20 degrees.
Note: Area of a sector = 
Plugging the values in the equation.
⇒
⇒ 
⇒ 
square-miles
So the area of the sector bounded by 20 degree arc is 29.48 square miles.
Answer:
A. We have extremely strong evidence to reject H0.
Step-by-step explanation:
Let P be the proportion of non-retirees in 2015 who did not think that Social Security would be able to pay a retirement benefit by the time that they retire.
According to the data null and alternative hypotheses should be:
: P=0.60
: P<0.60
Test statistics is -4.29 and p-value of the statistics is p<0.001
At every significance levels higher than 0.001, we can reject the null hypothesis since p<0.001.
Answer:
15 weeks
The amount of money is 270
Step-by-step explanation:
You: 60 +14x
Sister: 120+10x
Set them equal to each other
60+14x = 120+10x
Subtract 10x from each side
60+4x= 120
Subtract 60 from each side
4x= 60
Divide by 4
4x/4 = 60/4
x = 15
15 weeks
The amount of money is 120+10*15 = 120+150 = 270
Answer:
= 5 / 12
Step-by-step explanation:
Probability is an outcome of chance. It is a measure of outcomes of events.
To solve the probability of picking a Tootsie Pop, we must comfortably know the contents of the bag.
Number of GRAPE Tootsie pops = 5
Number of CHOCOLATE Tootsie pops= 8
Total number of Tootsie pops = The sum of both Tootsie pops
Total number = 5 + 8
= 13.
Let's note that tge question said , Juan pulls a chocolate Tootsie Pop and eats. The implication is it has reduced the total number of Tootsie Pops left in the bag.
Therefore:
The probability that the next pop he pulls out will be grape will be
Probability (Grape) = 5 / (13 -1)
= 5 / 12
The probability that the next Pop he pulls out will be a grape = 5/12
