PLEASE HELP The probability distribution for a
random variable x is given in the table.
PLEASE HELP The probability distribution for a random variable x - 1

Answers

Answer 1
Answer:

1

Step-by-step explanation:

p(x≤20)=p(x=-10) +p(x=-5)+p(X=0) +p(x=5) +p(x=10)+ p(X=15)+p(X=20)

This, p(X≤20)=0.20+0.15+0.05+0.1+0.25+0.1+0.15

=1


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According to the National Institute of Allergy and Infectious Diseases, 6% of American adults have a food allergy. A large company plans a lunch reception for its 500 employees. Assume that employees are independent. Let the random variable X be the number of company employees who have a food allergy. (a) What are the assumptions/requirements of a Binomial distribution? Does this situation meet all these requirements? (b) What are the expected value and standard deviation of X (i.e., of the population)? (c) What is the probability that none of the 500 employees has a food allergy?

A pair of flip flops is $30. How much will they cost after a 20% discount and 6.5% tax?

Answers

Answer:

25.56

Step-by-step explanation:

30 divided by 4 is 6 so 30- 6=24

6.5% of 24=1.56 sooooo           24+1.56=25.56

Answer:

$6.39

Step-by-step explanation  

well, 20% of $30 is $6, so then you just have to add on the tax, which is 39 cents, coming to $6.39

Use the data set to create a quadratic function if it applies. Use the model to predict the value of x when y = -4. (-3, 10), (0, 4), (3, -1), (6, -5), (9, -8)


Question 3 options:

A)

29.32 and 3.97


B)

32.27 and 4.57


C)

27.48 and 5.20


D)

No Solution

Answers

Answer:

The closest choice is ...

C)  27.48 and 5.20

Step-by-step explanation:

Using the equation ...

  y = ax² + bx + c

You can substitute the first three points to get linear equations in a, b, and c.

  10 = a(-3)² +b(-3) +c = 9a -3b +c

  4 = a(0)² + b(0) +c = c

  -1 = a(3)² + b(3) +c = 9a +3b +c

The second equation tells us c=4. Subtracting the first equation from the last, we get ...

  (9a +3b +c) -(9a -3b +c) = (-1) -(10)

  6b = -11

  b = -11/6

Then we can find "a" from the first equation:

  10 = 9a -3(-11/6) +4

  1/2 = 9a . . . . subtract 19/2

  1/18 = a . . . . . divide by 9

The model is ...

  y = (1/18)x² -(11/6)x +4 . . . . . . . . [call this "model A"]

  y = (x² -33x +72)/18

Solving this for y = -4, we have ...

  -4 = (x² -33x +72)/18

  x² -33x +144 = 0 . . . . . . multiply by 18, add 72

  (x -16.5)² -128.25 = 0 . . . . put in vertex form

  x = 16.5 ±√128.25 ≈ {5.17525, 27.8248}

___

The closest values to these among the choices offered are those of choice C. It appears that the coefficients of model A were rounded to 3 decimal places (or so) before the predicted x-values were computed.

For any graph of a hyperbola, which of the following statements describes the locations of the foci, vertices, and center with respect to one another ? Select all that apply .A- the foci are closer to the center than vertices

B- the foci are further from the center than the vertices

C- the center is located at the midpoint of the two foci

D- the center is located at the midpoint of the two vertices

Answers

A and D because they are both related unlike C and D.

If m∠1 = 3x, m∠3 = 2x + 20 and m∠5 = 30, what is the value of x?

Answers

m∠2 = 180 - m∠1 = 180 - 3x   [supplementary angles]

In a triangle, the three interior angles always add to 180° ⇒
m∠2 + m∠3 + m∠5 = 180
180-3x + 2x+20 + 30 = 180
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x = 230 - 180
x = 50

Solve this answer PLEASE ASAP!!
MATH i will reward brainliest! :)

Answers

The answer you’re looking for is -1/2. Good luck! :)
(2/3)/(-4/3) = -0.5 and/or -1/2

The table shows the number of badges earned, based on the number of boxes of cards sold. What does b(20) = 3 mean in terms of the problem

Answers

Answer:

Someone who sells 20 boxes of cards earn 3 badges.

Step-by-step explanation:

Answer:

b(20) = 3 means that for 20 boxes of cards sold, 3 badges were earned.

Step-by-step explanation:

The number of badges earned based on the number of boxes of cards sold means that badges earned are a function of the number of boxes of cards sold.

b(20) means the number of badges earned for selling 20 boxes of cards.

b(20) = 3 means that for 20 boxes of cards sold, 3 badges were earned.