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Anuta_ua [19.1K]
3 years ago
14

12 people are standing in line to buy movie tickets. The theater is running a promotion by giving away 2 concession stand gift c

ards to the people standing in line.
What is the probability that the 2nd and 3rd people in line will get chosen for the gift cards?
Mathematics
2 answers:
Olin [163]3 years ago
5 0
Can you clarify, please. do you mean every 2nd and 3rd person?

Anvisha [2.4K]3 years ago
3 0
1 in 12 chance of second person getting given a ticket
Then a 1 in 11 chance of the third person being given one.
1/12*1/11 = 1/132 chance. However, if it doesn't have to be in order, then there's a 1/12 chance of the third person getting a ticket, then a 1/11 chance of the second person getting one, so another 1/132 chance. Add them together for 2/132, or 1/66 chance
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rusak2 [61]
Its asking how much did they both spent, in total, in order to reach the same amount spent in part A
4 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the points (1, −10) and (−4, −7)?
nignag [31]

Hi there! :)

First, let's find the slope using this formula:

m=\frac{y2-y1}{x2-x1}

m=\frac{-7-(-10)}{-4-1} \\\frac{-7+10}{-5} \frac{3}{-5} =-\frac{3}{5}

Now, use the Point-Slope formula:

y-y1=m(x-x1)

y-(-10)=-3/5(x-1)

y+10=-3/5x+3/5

y=-3/5x+3/5-10

y=-3/5x-9.4

Hope this helps..

~Just an emotional teen who listens to "Try Everything"

SilentNature

4 0
2 years ago
The real part of the complex number –5 + 3i is
photoshop1234 [79]

Answer:

-5

Step-by-step explanation:

The real part of -5 + 3i is -5, and the imaginary part is 3.

7 0
3 years ago
A student group claims that first-year students at a university must study 2.5 hours (150 minutes) per night during the school w
AlekseyPX

Answer:

We have strong evidence that on average, students study less than 150 minutes per night during the school week

Step-by-step explanation:

Normal distribution:

mean     μ₀ = 150

Sample:

Sample size    n = 272

Sample mean   x = 141

Sample standard deviation  s  = 66

The standard error of the sample mean  SE = σ /√n

SE = 66/√272

SE = 66 / 16,49

SE = 4

Test Hypothesis:

Null hypothesis                            H₀             x  =   μ₀

Alternative hypothesis                Hₐ            x <    μ₀

z(s)  test statistics is:

z(s)  =  ( x  -  μ₀ ) / s/√n

z(s) = - 9 /4

z(s) =  -  2,25

p-value  for that z(s)      p-value  = 0,0122

Then for α =  0,05 p-value < 0,05

We are in the rejection region we need to reject H₀

7 0
3 years ago
If the sum of six consecutive even integers is 390 what is the smallest of the six integers
saveliy_v [14]
The answer is 60 but im going to explain it down below if you want to know how to do it :)

first because we dont know the values of the 6 numbers we have to lay it out like this.
x
x+2
x+4
x+6
x+8
x+10
-------- (then we add it together)
6x+30 = 390 (the sum of the 6 numbers)

using this equation we find out what x is 

so we do 390-30 to find what 6x is, which is 360
because now we know that 6x=360, we divide 360 by 6 to find out what x is
360 divided by 6 =60..... x = 60

so now we know that the smallest integer is 60
to check the answer we could add the 6 numbers which are:
60+62+64+66+68+70=390 :)

so the smallest integer is 60

5 0
3 years ago
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