These points are linear. Find the slope.

Answer:

[tex]P(F\ and\ R) = 0.21[/tex]

[tex]P(F\ and\ R^{-}) = 0.14[/tex]

[tex]P(R^{-}|F)= 0.40[/tex]

[tex]P(F^{-} and\ R) = 0.39[/tex]

[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]

[tex]P(F^{-}) =0.65[/tex]

Step-by-step explanation:

The variables have been defined in the question as:

[tex]F = Female\ Moviegoer[/tex]

[tex]F^{'} = Male\ Moviegoer[/tex]

[tex]R = Romantic\ Comedy[/tex]

[tex]R^{'} = War\ File[/tex]

Also, we have the following given parameters:

[tex]P(F) = 0.35[/tex]

[tex]P(F^{-}) =0.65[/tex]

[tex]P(R) =0.60[/tex]

[tex]P(R^{-}) = 0.40[/tex]

The solution is as follows:

[tex]a.\ P(F\ and\ R)[/tex]

[tex]P(F\ and\ R) = P(F) * P(R)[/tex]

Substitute values for P(F) and P(R)

[tex]P(F\ and\ R) = 0.35 * 0.60[/tex]

[tex]P(F\ and\ R) = 0.21[/tex]

[tex]b.\ P(F\ and\ R^{-})[/tex]

[tex]P(F\ and\ R^{-}) = P(F) * P(R^{-})[/tex]

Substitute values for P(F) and P(R-)

[tex]P(F\ and\ R^{-}) = 0.35 * 0.40[/tex]

[tex]P(F\ and\ R^{-}) = 0.14[/tex]

[tex]c.\ P(R^{-}|F)[/tex]

[tex]P(R^{-}|F)=\frac{P(R^{-}\ and\ F)}{P(F)}[/tex]

[tex]P(R^{-}|F)=\frac{P(R^{-})\ *\ P(F)}{P(F)}[/tex]

Substitute values for P(F) and P(R-)

[tex]P(R^{-}|F)=\frac{0.40 * 0.35}{0.35}[/tex]

[tex]P(R^{-}|F)= 0.40[/tex]

This implies that both events are independent

[tex]d.\ P(F^{-} and\ R)[/tex]

[tex]P(F^{-} and\ R) = P(F^{-}) * P(R)[/tex]

Substitute values for P(F-) and P(R)

[tex]P(F^{-} and\ R) = 0.65 * 0.60[/tex]

[tex]P(F^{-} and\ R) = 0.39[/tex]

[tex]e.\ P(F^{-}\ and\ R^{-})[/tex]

[tex]P(F^{-}\ and\ R^{-}) =P(F^{-}) * P(R^{-})[/tex]

Substitute values for P(F-) and P(R-)

[tex]P(F^{-}\ and\ R^{-}) =0.65 * 0.40[/tex]

[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]

[tex]f.\ P(F^{-})[/tex]

[tex]P(F^{-}) =0.65[/tex] --- Given

Answer:

11:10 am.

Step-by-step explanation:

The first thing I'm going to do is to add all the given time together

Total time = time spent at Willis tower + time spent at Navy Pier + time spent shopping

Total time = 1 HR and 10 minutes + 3 HR and 10 minutes + 1 hour and 15 minutes

Total time = (1 + 3 + 1) hr + (10 + 10 + 15) minutes

Total time = 5 hours + 35 minutes

The question doesn't make mention of how long they spent making the journey so, I'm assuming they spent 35 minutes driving around from Willis to the Pier and finally while shopping

Time = total time + time spent driving

Time = 5 hours 35 minutes + 35 minutes

Time = 6 hours and 10 minutes

Now, this time we've calculated, is what we're going to subtract from the dinner time to get our final answer

Needed time = dinner time - time

Needed time = 5:10 pm - 6:10

Needed time = 17:10 - 6:10

Needed time = 11:10

This means that they ought to start their tour by 11:10 am, so that they can meet their dinner

Answer: The slope is −2/3

Step-by-step explanation:

2 x + 3 y = 12  is the standard form for a linear equation. To determine the slope, solve the equation for  y  in order to convert to the slope-intercept form  y = m x + b , where  m  is the slope and  b  is the y-intercept.

2 x + 3 y = 12  

Subtract  2 x  from both sides.

3 y = − 2 x + 12

Divide both sides by  

3 . y = − 2 /3 x + 12 /3 =

y = − 2 /3 x + 4

The slope is  

− 2 /3

Answer:

-20 3/4, -15 1/2, -14 3/4,

Step-by-step explanation:

1.order of operations

2.12 or variable

3.error

4.Line(12¨

hope this helps

plz consider marking brainliest

Answer:

Q10. You just put them together because it's multiplying of a letter and a number

**I thought I answered this question yesterday, is this a deja vu or something**

Answer:

[tex]12+\frac{1}{4}\cdot12[/tex] [tex],[/tex] [tex]12\left(1+\frac{1}{4}\right)[/tex]  [tex]and[/tex]  [tex]12\cdot\frac{5}{4}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{1}{4}[/tex] [tex]of[/tex] [tex]12[/tex] [tex]is[/tex] [tex]3[/tex]

[tex]12+3[/tex] = [tex]15[/tex]

[tex]--------------------------------------------[/tex]

[tex]12+\frac{1}{4}[/tex] = [tex]12.25[/tex] ✘

[tex]12\cdot\frac{1}{4}[/tex] = [tex]3[/tex] ✘

[tex]12+\frac{1}{4}\cdot12[/tex] = [tex]15[/tex] ✔

[tex]12\left(1+\frac{1}{4}\right)[/tex] = [tex]15[/tex] ✔

[tex]12\cdot\frac{3}{4}[/tex] = [tex]9[/tex] ✘

[tex]12\cdot\frac{5}{4}[/tex] = [tex]15[/tex] ✔

[tex]--------------------------------------------[/tex]

Sorry that it took long, really wanted to work hard on this one.

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer:

3. 1 over 9 is the correct answer

Answer:

option 3 is correct.

hope it helps

Answer:

47.725%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 80 mph

σ is the population standard deviation = 10 mph

For x = 80 mph

z = 80 - 80/10

z =0

Probability value from Z-Table:

P(x = 80) = 0.5

For x = 100 mph

z = 100 - 80/10

z = 2

Probability value from Z-Table:

P(x = 100) = 0.97725

Probability of the player's serves thay were between 80 mph and 100 mph is calculated as:

P(x = 100mph) - P(x = 80 mph)

= 0.97725 - 0.5

= 0.47725

The percentage of the player's serves that were between 80 mph and 100 mph is calculated as:

Converting to percentage:

0.47725 × 100 = 47.725%

Answer:

c is the correct answer

Step-by-step explanation:

Answer:

C.  G' (4,-7), R' (2,-3), T'(6,-4)

Step-by-step explanation:

Get a piece of paper and draw 2 intersecting lines, like how a graph looks like. Then get another paper that's transparent enough, and place a dot roughly where R would be. Rotate it 270* clockwise (3 times around 90 degrees), and R would be in the bottom right area. That means the figure would be around that area and you can base the coordinates from that.

Answer:

a=26 / 56 and b = 46.4 percent

Step-by-step explanation:

From the question, the Approximate value is given as = 56

While the Exact value is given as 30

Error

Absolute error= 56-30=26

Where Ratio= a= error/Approximate value=26/56

Percent error = b= 26/56×100%=46.4

it's a

have an nice day day

Answer:

that would be true

Step-by-step explanation:

Answer:FALSE

Step-by-step explanation:

Answers:

2 sedans and 3 vans

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

Work Shown:

s = number of sedans

v = number of vans

1 sedan = 5 seats

s sedans = 5s seats

1 van = 7 seats

v vans = 7v seats

5s+7v = all seats

5s+7v = 31

Let's go through all the values of s to see which values of v work.

As a check:

2 sedans = 5*2 = 10 seats

3 vans = 7*3 = 21 seats

10+21 = 31 seats total

This confirms the answer.

The number of vans used is three and the number of sedans is two

Let :

v represent the number of vans

s represent the number of sedans

The following equations can be gotten

7v + 5s = 31 equation 1

v + s = 5 equation 2

The elimination method would be used to solve for v and s

Multiply equation 2 by 7

7v + 7s = 35 equation 3

Subtract equation 1 from 3

2s = 4

s = 4/2

s = 2

Substitute for s in equation 2

v + 2 = 5

v = 5 - 2

v = 3

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Answer:

effect

Step-by-step explanation:

Answer:

A

   The correct option is  C

B

  The  value of  z-test is  [tex]z = -2.267[/tex]

Step-by-step explanation:

From the question we are told that  

    The null hypothesis  [tex]H_o : p = 0.22[/tex]

    The alternative hypothesis  [tex]H_a : p \ne 0.22[/tex]

    The  level of significance is  [tex]\alpha = 0.01[/tex]

    The sample proportion is  [tex]\^ p = 0.15[/tex]

     The sample size is  n = 180

Generally from central limit theorem

if   np  and  nq  are  >  5  then  normal sampling distribution can be used

So  

     np =  180  * 0.22 =  39.6  >  5

and  

     nq =  180 * (1 -0.22) =  140.4 > 5

So normal sampling distribution can be used

Generally the z-test is mathematically represented as

      [tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1- p ) }{n } } }[/tex]

=>   [tex]z = \frac{ 0.15 - 0.22 }{ \sqrt{\frac{ 0.2(1- 0.22 ) }{ 180 } } }[/tex]

=>   [tex]z = -2.267[/tex]

Answer:

A= 0.5, B=2.2, C=0.12, D=.0.9.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Just replace x with 10, so F(10) = 10/2 + 8. Which is 5 + 8.

Answer:

Correct option:

"The total cost of renting a jet ski for $25 per hour plus a fee of $50."

Step-by-step explanation:

Proportional relationships are associations between two variables where the ratio of these two variables are correspondent. Or, in a proportional relationship, one variable is a constant value times the other variable. This constant is known as the "constant of proportionality".

The first three options represents a proportional relationship.

But the last option does not.

"The total cost of renting a jet ski for $25 per hour plus a fee of $50."

That is,

TC = 25·h + 50

The relationship is linear not proportional.

Answer:

There are 6 rock songs on Fernando's road trip playlist.

Step-by-step explanation:

Given that he keeps the ratio same

This means that the ratios for both summer playlist and trip playlist will be the same

Let

c1 be the country songs in summer playlist

r1 be the rock songs in trip playlist

Similarly,

c2,r2 will be the country and rock songs in trip playlist

Both will be equal so

[tex]\frac{c_1}{r_1} = \frac{c_2}{r_2}[/tex]

Putting the values

[tex]\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6[/tex]

Hence,

There are 6 rock songs on Fernando's road trip playlist.

Answer:

6 songs

Step-by-step explanation:  

Answer:

yes 40

Step-by-step explanation:

she got it correct

Answer:

This answer is not originally mine so Don give me credit

Step-by-step explanation:

Amit's school bus in m/s will be

36×1000/3600

36 × 10/36

= 10 m/s

While sushma's school bus has speed of 11 m/s

so sushma's school bus is faster than Amit's school bus

Answer:

Amit's: 10 m/s

Sushma's 11 m/s

Step-by-step explanation:

Amit's:

36 x 1000/3600

36 x 10/36

Sushma's:

11 m/s

Sushma's school bus is faster than Amit

Answer:

0.5440

Step-by-step explanation:

Given that ;

          Brand 1 : Couple      Brand 2: Sedan        Total

                           100                            200              300

                           240                              85              325

            Total  :  340                              285             625

The probability that a vehicle selected at random is a couple given that it was brand 1 will be;

The probability that a selected vehicle is a couple is  340/625

=0.5440

Answer:

Length of a Road

Step-by-step explanation: No man that has ever lived (Well unless they're a nephilim or smth) is over a mile tall. Swimming pools and buildings aren't usually big enough to be measured in miles unless they're either a skyscraper or a Wisconsin water park attraction.

Answer:

9/10 of a paragraph in a minute

Step-by-step explanation:

find out how much he can type in 1/3 of a minute

(3/5)/2     3/5=6/10    (6/10)/2   3/10

(3/10)*3=9/10

Answer:

9/10

Step-by-step explanation:

hope it worked

Answer:  The Answer Is A Because if u just add the numbers then divide them