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s2008m [1.1K]
3 years ago
9

Find the rational root x^2-4x+3

Mathematics
1 answer:
Lena [83]3 years ago
3 0
This expression is easily factored:  <span>x^2-4x+3 = (x-3)(x-1).

Setting these factors = to 0, we get x = 3 and x = 1.  These are the desired rational roots.

</span>
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Suppose a basketball player has made 390 out of 434 free throws. If the player makes the next 2 free throws, I will pay you $40.
alukav5142 [94]

Answer: a) -$0.19, b) -$111.72 .

Step-by-step explanation:

Since we have given that

Number of free throws = 434

Number of throws made by them = 390

Amount for making the next 2 free throws = $40

Amount otherwise he has to pay = $169

a) Find the expected value of the proposition.

Expected value of success in next 2 free throws = \dfrac{390}{434}\times \dfrac{391}{435}=0.8077

Expected value would be

0.8077\times 40+(1-0.8077)\times -169\\\\=32.308-32.4987\\\\=-\$0.19

b)  If you played this game 588 times how much would you expect to win or lose?

Number of times they played the game = 588

So, Expected value would be

588\times -0.19\\\\=-\$111.72

Hence, a) -$0.19, b) -$111.72

8 0
3 years ago
A school district transported a total of 409 students and teachers to a zoo in buses and vans.
valina [46]

Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

Step-by-step explanation:

Since we have given that

Total number of students and teachers = 409

Let the number of vans be x

Let the number of buses be x+5

Number of students and teachers each bus transported = 55

Number of students and teachers each van transported = 12

According to question,

55(x+5)+12x=409\\\\55x+275+12x=409\\\\67x=409-275\\\\67x=134\\\\x=\frac{134}{67}\\\\x=2

Total number of students and teachers who rode to the zoo in buses will be

55(x+5)\\\\=55(2+5)\\\\=55\times 7\\\\=385

Total number of students and teachers who rode to the zoo in vans will be

12x\\\\=12\times 2=24

Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

6 0
3 years ago
At a local restaurant the amount of time that customers have to wait for their food is normally distributed with a mean of 26 mi
konstantin123 [22]

Answer:http://avconline.avc.edu/jdisbrow/ma115/Practice%20Test%203%20with%20answers.pdf

Step-by-step explanation:

you welcome

6 0
3 years ago
If f=3,8 = 5, h= 10 find the value of<br>2f-g + h​
Viktor [21]
That makes no sense. Can you rephrase the question?
8 0
3 years ago
I need help please! <br> ​ 3/10×(−4/5)
Tems11 [23]
-0.24 should be the answer. idk i might be wrong. im not to great at math just i just used a calculator
6 0
3 years ago
Read 2 more answers
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