Jenny is a 60 percent free-throw shooter. She gets to shoot a second free throw if and only if she makes her first shot. She can score 0 points( if she misses her first shot), 1 point (she makes her first but misses her second), or 2 points ( she makes both shots.) Assuming that the probability for each shot is independent, what number of points is Jenny most likely to make?
How many points on average, can Jenny expect to make when she shoots a one-and-one (when she only gets a second shot if she makes the first)?

A.
0

B.
2

C.
1

D.
.96

E.
.36

Answers

Answer 1

Answer: Let the points be X.

x 0 1 2
P(X = x) 0.4 0.24 0.36

The expected points, E(X), are found as follows:
$E(X)=(0*0.4)+(1*0.24)+(2*0.36)=0.96$

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Six students are working to simplify the expression shown. Drag each student's answer to a box to show whether it is fully simplified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression. 15 + 12x -5x +4y -7

Answers

Answer: 7x + 4y + 8.

Step-by-step explanation:

Given data:

15 + 12x -5x +4y -7

Solution:

15 + 12x -5x +4y -7

Subtract the numbers

= 8 + 12x – 5x + 4y

Collect like terms

= 8 + 7x + 4y

Rearrange the equation

= 7x + 4y + 8

Which is bigger 3/7 or 4/9

Answers

4/9 is bigger because if you convert
3/7 and 4/9 into there common denominator which is 63.
3/7= 27/63
4/9= 28/63 so 4/9 is bigger

PLEASE HELP Describe the graph of the function f(x) = x3 − 18x2 + 107x − 210. Include the y-intercept, x-intercepts, and the shape of the graph.

Answers

f(x) = x³ - 18x² + 107x - 210

X - Intercept: f(x) = x³ - 18x² + 107x - 210
   0 = x³ - 18x³ + 107x - 210
       0 = x³ - 7x² - 11x² + 77x + 30x - 210
       0 = x²(x) - x²(7) - 11x(x) + 11x(7) + 30(x) - 30(7)
         0 = x²(x - 7) - 11x(x - 7) + 30(x - 7)
   0 = (x² - 11x + 30)(x - 7)
   0 = (x² - 6x - 5x + 30)(x - 7)
   0 = (x(x) - x(6) - 5(x) + 5(6))(x - 7)
   0 = (x(x - 6) - 5(x - 6))(x - 7)
   0 = (x - 5)(x - 6)(x - 7)
   0 = x - 5   or 0 = x - 6 or 0 = x - 7
+ 5 + 5 + 6 + 6 + 7 + 7
   5 = x or    6 = x or    7 = x
Solution Set: {5, 6, 7}

Y - Intercept: f(x) = x³ - 18x² + 107x - 210
      f(x) = (0)³ - 18(0)² + 108(0) - 210)
      f(x) = 0 - 18(0) + 0 - 210
    f(x) = 0 - 0 - 210
    f(x) = 0 - 210
    f(x) = -210

Shape of the Graph: Odd Degree Polynomials With a Positive Leading Coefficient

Answer:

X - Intercept: f(x) = x³ - 18x² + 107x - 210

0 = x³ - 18x³ + 107x - 210

0 = x³ - 7x² - 11x² + 77x + 30x - 210

0 = x²(x) - x²(7) - 11x(x) + 11x(7) + 30(x) - 30(7)

0 = x²(x - 7) - 11x(x - 7) + 30(x - 7)

0 = (x² - 11x + 30)(x - 7)

0 = (x² - 6x - 5x + 30)(x - 7)

0 = (x(x) - x(6) - 5(x) + 5(6))(x - 7)

0 = (x(x - 6) - 5(x - 6))(x - 7)

0 = (x - 5)(x - 6)(x - 7)

0 = x - 5 or 0 = x - 6 or 0 = x - 7

+ 5 + 5 + 6 + 6 + 7 + 7

5 = x or 6 = x or 7 = x

Solution Set: {5, 6, 7}

Y - Intercept: f(x) = x³ - 18x² + 107x - 210

f(x) = (0)³ - 18(0)² + 108(0) - 210)

f(x) = 0 - 18(0) + 0 - 210

f(x) = 0 - 0 - 210

f(x) = 0 - 210

f(x) = -210

A box of dried fruit has 60 calories in 5 servings. How many calories are there per serving?

Answers

There are 12 calories per serving. This can be known if you divide 60 by 5

I think 12 calories

What is 42/4 as a mixed number

Answers

42/4

DIVIDE THE TOP BY THE BOTTOM NUMBER. 42/4= 10 WITH 2 LEFT OVER
10 2/4 REDUCE BY DIVIDING BY 2

THE ANSWER IS 10 1/2

SORRY IT WOULD NOT LET ME EDIT

if you divide 42 and 4 you will get 10 remainder 2 the 2 turns into 2/4 so it's 10 and 2/4

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