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ddd [48]
3 years ago
11

Please do step by steps for each!

Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:

  • x² - 8x + 12
  • x³ + 2x² - 15x - 36
  • x³ -2x² - 15x

Step-by-step explanation:

#1) Find the polynomial with roots at 2 and 6

  • (x -2)(x - 6) = x² - 8x + 12

#2) Find the polynomial with a double root at -3 and another root at 4

  • (x+3)(x+3)(x-4) = (x²+6x+9)(x-4) = x³ + 2x² - 15x - 36

#3) Find the polynomial with roots 0, -3 and 5

  • (x -0)(x+3)(x-5) = x(x²-2x - 15) = x³ -2x² - 15x
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The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
garik1379 [7]

Answer:

The probability that X is less than 32 minutes is 0.736.

Step-by-step explanation:

Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.

To find : What is the probability that X is less than 32 minutes?

Solution :

If X has an average value of 24 minutes.

i.e. \lambda=24

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

The exponentially function is \frac{1}{\lambda}e^{-\frac{x}{\lambda}}

The function form according to question is

f(x)=\{\frac{1}{24}e^{-\frac{x}{24}}, x>0\}

The probability that X is less than 32 minutes is

P[x

P[x

P[x

Therefore, the probability that X is less than 32 minutes is 0.736.

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3 years ago
Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is: a. Add the n
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Look at the triangle shown below . Which statements is TRUE about the triangle .
vaieri [72.5K]

Answer:

3

Step-by-step explanation:

7 0
3 years ago
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Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to make a 20 pound mixture. If the mixture
rewona [7]
  put the amount of $8 a pound chocolate as say it as x
 As the total number of pounds is 20
so the amount of $3 a pound chocolate must be <span>20−x
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3 0
4 years ago
You missed an A in your art course by only 7 points. Your point total for the course was 371. How many points were possible in t
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The number of points that  were possible in the course is 420

What is the required number of points for grade A?

The number of points the student needs to have to make grade A is the student's current points of 371 plus the 7 points remaining to make grade A

Total points for A=371+7

total points for grade A=378

90% of the course total=378

divide both sides 90

90% /90 =378/90

1%=378/90

100%=378/90*100

100%=420

Find out more about course points on:brainly.com/question/8429607

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