People who picked up vanilla cupcakes = 80% x 53
<u> 80% x 53 = 0.8 x 53 = 42 people </u>(nearest whole number)
42 people picked vanilla cupcakes
Volume of a sphere = 4/3πr³
<u>4/3πr³ = 4/3π(7)³ = 1436.8 cm³</u>
The volume of the sphere is 1436.8 cm³
Answer:
We are given that According to government data, 75% of employed women have never been married.
So, Probability of success = 0.75
So, Probability of failure = 1-0.75 = 0.25
If 15 employed women are randomly selected:
a. What is the probability that exactly 2 of them have never been married?
We will use binomial
Formula : 
At x = 2



b. That at most 2 of them have never been married?
At most two means at x = 0 ,1 , 2
So, 


c. That at least 13 of them have been married?
P(x=13)+P(x=14)+P(x=15)



Answer:
You can get an idea of how much guaranteed lifetime income a given amount of savings will buy by going to this annuity payment calculator. Today, for example, $100,000 would get a 65-year-old man about $525 a month in lifetime income, while that amount would generate roughly $490 a month for a 65-year-old woman.
9514 1404 393
Answer:
d. m∠Q = 75 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.
∠P +∠Q +∠R = 180°
x° +(2x +15)° +(2x +15)° = 180°
5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30
x = 30 . . . . . . . . . . . . . . . . divide by 5
m∠Q = (2x +15)° = (2(30) +15)°
m∠Q = 75°
Based on the scenario given, the equation to describe the situation will be: c + 125 + 89 = 500 and 286 cards need to be collected.
Number of cards given by grandfather = 125 cards
Number of cards that will be given by father = 89 cards
Therefore, based on the information given, the equation to describe the situation will be:
c + 125 + 89 = 500
Therefore, we can then use the equation to calculate the number of cards that need to be collected. This will be:
c + 125 + 89 = 500
c + 214 = 500
c = 500 - 214
c = 286
Therefore, the person needs to collect 286 cards.
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