Please help!!! It's for a timed quiz on conditional probabilities!!!

A researcher randomly surveyed 122 college professors to determine what types of courses they teach and their sleeping habits. The two-way table displays the data.

Suppose a survey respondent is randomly selected. Let M = professor teaches math and B = professor is an early bird. What is the value of P(B|M)?

a. 17/63
b. 16/59
c. 16/33
d. 21/34

Answer:

x=5,1,4

Step-by-step explanation:

a

Answer:

201.06

Step-by-step explanation:

3.14 * 8^2= 201.06

(pi * radius ^ squared)

Answer:

The highest observation =20

The lowest observation = 1

Range of the data = 20-1

= 19(ans)

Answer:

The range is 19

Step-by-step explanation:

To calculate the range of a set of data, you order the numbers from highest to lowest (ex; 20,20,19,18,16,12,12,10,8,8,7,6,4,4,3,1,1) then you subtract the highest number from the lowest number (ex; 20 - 1)

Answer:

c i think

Step-by-step explanation:

im sorry if its wrong

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

[tex]n(U)=27[/tex]

[tex]n(A)=7[/tex]

[tex]n(B)=18[/tex]

[tex]n(A'\cap B')=7[/tex]

We know that,

[tex]n(A\cup B)=n(U)-n(A'\cap B')[/tex]

[tex]n(A\cup B)=27-7[/tex]

[tex]n(A\cup B)=20[/tex]

Now,

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]20=7+18-n(A\cap B)[/tex]

[tex]n(A\cap B)=7+18-20[/tex]

[tex]n(A\cap B)=25-20[/tex]

[tex]n(A\cap B)=5[/tex]

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

[tex]\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}[/tex]

[tex]\text{Probability}=\dfrac{5}{27}[/tex]

Therefore, the required probability is [tex]\dfrac{5}{27}[/tex].

Answer:

16

Step-by-step explanation:

if 5 white cups and 8 green 10 white cups and 16 green

5 × 2 = 10

8 × 2 = 16

Answer:

16

Step-by-step explanation:

Because 5*2=10 so 8*2=16.

Have a great day. And be you.

If function f(x)= x² then g(x) is  -x² - 3 , option A is correct.

A relation is a function if it has only One y-value for each x-value.

The reflection in the x-axis changes the sign of the y-coordinate. So, the reflection of f(x) = x² in the x-axis is g(x) = -x².

Secondly, the downward shift of 3 units means subtracting 3 from the y-coordinate.

So, the transformation applied to f(x) to get g(x) is reflection in the x-axis followed by a downward shift of 3 units.

g(x) = -x² - 3 is the result of applying a reflection in the x-axis followed by a downward shift of 3 units to the function f(x) = x².

Hence, if function f(x)= x² then g(x) is  -x² - 3 , option A is correct.

To learn more on Functions click:

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Answer:

I think it is 20%.

Step-by-step explanation:

35 * 0.2 = 7

35 + 7 = 42

Answer:

Step-by-step explanation:

If you deposit $7300 into an account paying 100% annual interest compounded yearly , how much money will be in the account after 15 years?

Result:

The amount is $239206400.

Explanation:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Answer:

15341

Step-by-step explanation:

\text{Doubling Formula:}

Doubling Formula:

y=a(2)^{\frac{t}{d}}

y=a(2)  

d

t

​  

a=7300\hspace{40px}d=14\hspace{40px}t=15

a=7300d=14t=15

d is the doubling time

\text{Plug in:}

Plug in:

y=7300(2)^{\frac{15}{14}}

y=7300(2)  

14

15

​  

y=15341.0469243

y=15341.0469243

So sorry I messed it up I let you down :(

Answer:

55 cm²

Step-by-step explanation:

In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)

So the top and bottom base are both 9, and the left and right sides are both 5.

So, to solve, we need to use the equation:

(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²

Answer:

[tex]2\frac{1}{10}[/tex]

Step-by-step explanation:

Answer:

2 1/10

Step-by-step explanation:

Answer:

58 and 12

Step-by-step explanation:

CHECK:

58 + 12 = 70

70 - 58 = 12

NOW GO LISTEN TO ALEC BENJAMINS NEW SONG, THE WAY YOU FELT

Answer:

x is 41 and y is 29

Step-by-step explanation:

x plus y is 70 and x minus y is 12

subtract 2 from 1

2y=58

y is 29 and x is

29 plus x is 70 so.....x is41

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

incone tax means the money u get as income from tax and tax payable is the tax needed to be to payed

Answer:

376*74=

Step-by-step explanation:

[tex]376 \times 74 = 27824 \\[/tex]

Answer:

[tex]10 x - 2y[/tex]

Step-by-step explanation:

[tex]8x−2y+x+x \\ 9x−2y+x \\ 10x−2y[/tex]

c

Step-by-step explanation:

this is correct

Answer:

Answer:

2+2=4

Step-by-step explanation:

Answer: I need help

Step-by-step explanation:

Answer: 0.50

Step-by-step explanation:

Answer:

A turtle.

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{2} x+8[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

Perpendicular lines will always have slopes that are negative reciprocals of each other. For example, two perpendicular lines might have slopes of 3 and -1/3.

After observing the equation y=-2x-5, we can conclude that the slope is -2. Therefore, a line perpendicular to this line would have a slope of 1/2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{1}{2} x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{1}{2} x+b[/tex]

Plug in the given point (-4,6)

[tex]6=\frac{1}{2}(-4)+b\\6=-2+b[/tex]

Add 2 to both sides

[tex]6+2=-2+b+2\\8=b[/tex]

Therefore, the y-intercept is 8. Plug this back into [tex]y=\frac{1}{2} x+b[/tex]:

[tex]y=\frac{1}{2} x+8[/tex]

I hope this helps!

The straight line distance between the start and finish point is required.

The straight line distance is 5.7 miles.

a = Distance traveled north = 4 miles

b = Distance traveled east = 4 miles

c = Straight line distance

The angle between the two paths is ninety degrees so, the Pythagoras theorem can be applied here.

Applying the Pythagoras theorem

[tex]c=\sqrt{a^2+b^2}\\\Rightarrow c=\sqrt{4^2+4^2}\\\Rightarrow c=4\sqrt{2}\\\Rightarrow c=5.7\ \text{miles}[/tex]

Learn more about Pythagoras theorem:

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Answer:

0.056

Step-by-step explanation:

Answer:

56/1000 = .056

Step-by-step explanation:

56/100 = .56

56/1000 = .056

56/10000 = .0056

Answer:

D is the right graph

Answer:

2 degrees

Step-by-step explanation:

1) The temperature at 12:00 PM was -8 degrees celsius

2) The temperature at 1:00 PM was 10 degrees higher than at 12:00 PM

3) -8 + 10 = 2

4) The temperature at 1:00 PM was 2 degrees celsius

5) Draw a number line with the labels 12:00 PM and 1:00 PM on either end

6) Label above 12:00 PM -8 degrees celsius, and above 1:00 PM 2 degrees celsius

7) Draw an arrow pointing from 12:00 PM towards 1:00 PM to show that the temperature changes between 12:00 PM and 1:00 PM  

I hope this helps :D

Answer:the answer is -4f

Step-by-step explanation:

Answer:

-60%

22   -     56

__________         x 100 ~      -60.7                    

                                        ~

      56                                    

Round 60.7

-60%

Hope this helps

                                                                                          -Tobie the dog <3

Answer:

61%

Step-by-step explanation:

1) We are changing the percent from 56 down to 22

2) This means that there will be a negative change in percent

3) This is because the new value (22) is smaller than the old value (56)

4) We must find the change from 56 to 22 in a percent

1) Find the difference between 56 and 22 as a number.

The difference between 56 and 22 is 34

2) Divide the result from Step 1 by the starting number 56.

34 ÷ 56 = 0.60714285714

3) Multiply the result from Step 2 by 100 to get it in terms of percent.

0.60714285714 x 100 = 60.71

4) Round the result from step 3 to the nearest percent.

60.71 ≈ 61%

Make sure you round to the nearest whole percent. In this case it would be 61%

Given:

The sequence is:

[tex]16,80,400,...[/tex]

To find:

The 6th term of the given sequence.

Solution:

We have,

[tex]16,80,400,...[/tex]

Here, the first term is:

[tex]a=16[/tex]

The ratio between consecutive terms are:

[tex]\dfrac{80}{16}=5[/tex]

[tex]\dfrac{400}{80}=5[/tex]

The given sequence has a common ratio 5. So, the given sequence is a geometric sequence.

The nth term of a geometric sequence is:

[tex]a_n=a(r)^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Substitute [tex]a=16,r=5,n=6[/tex] to get the 6th term.

[tex]a_6=16(5)^{6-1}[/tex]

[tex]a_6=16(5)^{5}[/tex]

[tex]a_6=16(3125)[/tex]

[tex]a_6=50000[/tex]

Therefore, the 6th term of the given sequence is 50000.