Prior to the Academy Awards ceremony in 2009, the United Kingdom bookmaker Ladbrokes reported the following odds for winning an Oscar in the category of best actress (The Wall Street Journal, February 20, 2009).
Best Actress Movie Odds
Anne Hathaway Rachel Getting Married 2:11
Angelina Jolie Changeling 1:20
Melissa Leo Frozen River 1:33
Meryl Streep Doubt 3:10
Kate Winslet The Reader 5:2
a. Express the odds for each actress winning as a probability. (Round your answers to 3 decimal places.)
Best Actress Probability
Anne Hathaway
Angelina Jolie
Melissa Leo
Meryl Streep
Kate Winslet

Part (a)

------------------

Work Shown:

2(x-1) = 3(x+2)

2x-2 = 3x+6 .... distribute

2x = 3x+6+2 .... adding 2 to both sides

2x = 3x+8

2x-3x = 8 .... subtracting 3x from both sides

-x = 8

x = -8 ..... multiply both sides by -1

===========================================================

Part (b)

------------------

Work Shown:

-4(2x-2) = 3(x+1)

-8x+8 = 3x+3 ..... distribute

-8x = 3x+3-8 .... subtract 8 from both sides

-8x = 3x-5

-8x-3x = -5 ... subtract 3x from both sides

-11x = -5

x = -5/(-11) .... divide both sides by -11

x = 5/11

In decimal form, this is approximately equal to 5/11 = 0.4545

Answer:

35 v 3 ? − 21 v 2 ? − 5 v 3 − 28 v ? + 13 v 2 − 2 v − 8

Answer:

It can be concluded that the median number of part-time employees has increased hence we will reject the null hypothesis ( H0 : p = 0.5 )

Step-by-step explanation:

Test using  α = 0.5 to determine whether the median number of part-time employees has increased

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

number of restaurants with exactly 18 part-time employees = 1

first step : ( state the null and alternate hypothesis )

Null hypothesis : ( H0) : median ≤ 18

Alternate hypothesis : ( Ha ) : median ≥ 18

The size of the sample ( n ) can be considered to be 8 because

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

Hence the actual hypothesis that should be tested will be :

H0 : p = 0.5

Ha : p ≠ 0.5

Next apply the binomial distribution to determine the number of + signs

= nP = 8 ( 0.5 ) = 4 + signs ( right tailed test i.e. upper tail of the binomial distribution )

determine the P ( ≥ 7 ) + signs in order to obtain the p-value of this right tailed test ( using the binomial probability table )

P ( ≥ 7 )+ signs  = p(7) +signs  + p(8)+signs

                         = 0.0313 + 0.0039 = 0.0352

Hence the P-value = 0.0352  is < 0.05  hence we will reject the Null hypothesis ( H0 : p = 0.5 )

hence It can be concluded that the median number of part-time employees has increased

The true statement is that, the median number of part-time employees has increased

The given parameters are:

Using a 0.5 test of significance, the null and the alternate hypotheses are:

The sample size (n) is calculated using

[tex]\mathbf{n =n_1 -n_3}[/tex]

So, we have:

[tex]\mathbf{n =7 --1}[/tex]

[tex]\mathbf{n =8}[/tex]

The mean of the distribution is:

[tex]\mathbf{\bar x = np}[/tex]

This gives

[tex]\mathbf{\bar x = 8 \times 0.5}[/tex]

[tex]\mathbf{\bar x = 4}[/tex]

Using the right tailed test, we calculate the probability that a restaurant has more than 7 part-time employees.

This is calculated as:

[tex]\mathbf{P(x \ge 7+) = P(x = 7+) + P(x = 8+)}[/tex]

Using the binomial probability table, we have:

[tex]\mathbf{P(x \ge 7+) = 0.0313 + 0.0039 }[/tex]

[tex]\mathbf{P(x \ge 7+) = 0.0352}[/tex]

By comparison,

When the p-value is less than the level of significance, then we will reject the Null hypothesis

Hence, it can be concluded that the median number of part-time employees has increased

Read more about probabilities at:

https://brainly.com/question/6476990

Answer:

y=1

x=2

(2,1)

Step-by-step explanation:

x=2y

2x+5y=9​

2(2y)+5y=9

4y+5y=9

9y=9

y=1

x=2(1)

x=2

(2,1)

To distribute, multiply 9 times 2n plus 9 times 1.

9*2n+9*1

18n+9 is your final answer.

Step-by-step explanation:

Answer:

2: 7:10 3: 6:14

Step-by-step explanation:

There are 7 blue marbles and 10 are green

There are 6 circles and 14 hearts

Answer:

r>12    or    r<−4

Step-by-step explanation:

Answer:

288pi

904.3

1648.5

33493.3

Step-by-step explanation:

1.

volume = 6^2 * 8 * pi = 288pi

= 904.32

2.

5^2*21*3.14 = 1648.5

3.

4/3 * 20^3 * 3.14 = 33493.3

Answer:

Rate of change = $25 per day

Step-by-step explanation:

Since, rate of change of the data given in the table is constant graph will be a linear graph.

Rate of change of the line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Graph passes through two points (3, 75) and (4, 100)

Rate of change = [tex]\frac{100-75}{4-3}[/tex]

                          = 25

Here rate of change defines the change in cost per day.

If I understand this right:

3/4=24

24/3=8

8*4=32

You divide the number by the numerator, and then multiply that number by the denominator.

If you mean you want 3/4 of 24 then you divide 24 by 4, which equals 6. And then multiply 6 and 3, which equals 18

Answer:

circumference = 301.44

area =7,234.56

Step-by-step explanation:

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.

96 x 3.14 = 301.44

area = 3.14r^2

radius = d/2

radius = 48

3.14(48^2)

area =7,234.56

Answer: 5

Step-by-step explanation:

4x + 10- 25

Answer:

- 13 × k = -13k

good luck, hope this helps :)

Answer: g(x) = 6*x^2 + 15

Step-by-step explanation:

Suppose that we have a function y = f(x)

A vertical stretch by a factor of K is written as:

g(x) = K*f(x).

In this case, we have f(x) = 2*x^2 + 5.

And we know that g(x) is a f(x) after a stretch by a factor of 3.

Then we get:

g(x) = 3*f(x) = 3*(2*x^2 + 5) =  3*2*x^2 + 3*5 = 6*x^2 + 15

g(x) = 6*x^2 + 15

Answer:

819

Step-by-step explanation:

Answer:

hyujd6dssgshfjf kryaydfhfvjmbnno vfifufiigbff

Answer: 90%

Step-by-step explanation:

3/30= not working

This means that 27/30 computers are working.

To find the percentage divide each number by a number that both numbers are divisible by.

In this case both numbers can be divided by 3, and your number will now be 9/10. You can then multiply this number by 10, so your number is now 90/100 which equals 90%

Answer:

17 hours

take $192 and divide it by 12 so you know how much they make per hour

$192 / 12 = 16

then you're going to take $272 and divide it by what you know now - how much they make per hour (this will get you how many hours they worked)

$272 / 16 = 17

Answer:

Step-by-step explanation:

3/4

Answer:

3/8

Step-by-step explanation:

first find a good denominators then multiply the numerators by how many times it took you to get the denominator then add 1/8+ 2/8 which equals 3/8

Answer:

I believe its £18.30. If not sorry.

Step-by-step explanation:

Answer:

The first one is correct

Step-by-step explanation:

-3<1-1 - 3<0 correct

-3>1 it is not correct

Answer:

where is the rest of the question, how much was each calculator?

Answer:

0.89 = 89

0.54 = 54

0.76 = 76

0.33 = 33

0 . 53 = 53

.0.12 = 12