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BaLLatris [955]
2 years ago
12

the cost in dollars of a school banquet is 64 + 12n,where n is the number of people attending. what is the cost for 80 people.

Mathematics
2 answers:
nataly862011 [7]2 years ago
8 0
The total cost for 80 people attending the banquet is $1,024.00

If n represents the number of people, and 80 people are attending, plug in 80 for n:
64+12n \\ 64+12(80) \\ 64+960=1,024 dollars
koban [17]2 years ago
4 0
If n = the number of people attending, jut plug in 80 for n:

64+12n\\64+12(80)\\64+960\\1024

The cost for 80 people is $1024.
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GREYUIT [131]
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
3 0
2 years ago
Read 2 more answers
According to government data, 75% of employed women have never been married. Rounding to 4 decimal places, if 15 employed women
blagie [28]

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 : P(X=r) =^nC_r p^r q^{n-r}

At x = 2

P(X=r) =^{15}C_2 (0.75)^2 (0.25^{15-2}

P(X=2) =\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{13}

P(X=2) =8.8009 \times 10^{-7}

b. That at most 2 of them have never been married?

At most two means at x = 0 ,1 , 2

So,  P(X=r) =^{15}C_0 (0.75)^0 (0.25^{15-0}+^{15}C_1 (0.75)^1 (0.25^{15-1}+^{15}C_2 (0.75)^2 (0.25^{15-2}

 P(X=r) =(0.75)^0 (0.25^{15-0}+15 (0.75)^1 (0.25^{15-1}+\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{15-2})

P(X=r) =9.9439 \times 10^{-6}

c. That at least 13 of them have been married?

P(x=13)+P(x=14)+P(x=15)

={15}C_{13}(0.75)^{13} (0.25^{15-13})+{15}C_{14} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})

=\frac{15!}{13!(15-13)!}(0.75)^{13} (0.25^{15-13})+\frac{15!}{14!(15-14)!} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})

=0.2360

8 0
3 years ago
The Choi family wants to save money to travel the world. They purchase an annuity with a monthly payment of $65 that earns 4.5%
Lesechka [4]

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.

8 0
3 years ago
Read 2 more answers
Find the m2.
Lisa [10]

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°

8 0
2 years ago
3. I am collecting baseball cards. My goal before I turn 18 is to have 500 cards. When I tumed 10,
vladimir2022 [97]

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.

Read related link on:

brainly.com/question/24910157

7 0
2 years ago
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