Suppose that 6 out of the 19 doctors in a small hospital are General Practitioners, 9 out of the 19 are under the age of 45, and 3 are both General Practitioners and under the age of 45. What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 45

Answers

Answer 1

Answer:

12/19

Step-by-step explanation:

We have these events

A = Doctors are general practitioners

B = doctors are under the age of 45

P(A) = 6/19

P(B) = 9/19

P(A n B) = 3/19

Then the probability of being assigned a general practitioner under age 45

P(AuB)

= P(A) + P(B) - P(A n B)

= 6/19 + 9/19 - 3/19

= 12/19

So 12/19 is the probability of getting a general practitioner under age 45.


Related Questions

-5/12 - (-9/3)=

Help me please

Answers

Answer:

HOW T.F DO YOU NOT

Step-by-step explanation:

-5/12+3

2 7/12

UST CAUSE

Answer: -5/4

Step-by-step explanation:


Use the two bar graphs to answer the following experimental compound events. What is the
experimental probability of rolling a 2 and spinning 2?
- 6/625
- 4/250
- 24/2500
- 6/50

Answers

Answer:

24 / 2500

Step-by-step explanation:

Experimental probability = (number of successes / total number of trials)

For rolling :

Total number of trials = ( 10 + 4 + 8 + 11 + 8 + 9) = 50

Number of times 2 is rolled = 4

P(rolling a 2) = 4 /50

For spinning :

Total number of trials = (8 + 6 + 9 + 11 + 9 + 7) = 50

Number of times 2 is spunned = 6

P(rolling a 2) = 6 /50

Hence,

4 / 50 * 6/50 = 24 / 2500

PLEASE HELP MEEEEEEE

Answers

Answer:

the thing is black for me.. pls retake

Step-by-step explanation:

3. 3=2(1)+1. 4. 5= -1/5(3)+5.6

Please help soon because I really need to finish my last homework question quickly

Answers

Answer:

what is the question? May you please show us

Step-by-step explanation:

On Wednesday, farmer bell wants to take an inventory of his mango trees He planted 7 rows of mango trees. There are 42 mango trees in each row. How many mango trees does he have altogether?

Answers

7•42= 294 mango trees

Helppp (20 points )pleaeeee

Answers

Answer:

LxWxH= 920

Step-by-step explanation:

hope this helps!

Someone please help me with this!!

Answers

Answer:

Its A

Step-by-step explanation:

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:okay I’m pretty smart it is c the answer  is 4:)

Step-by-step explanation:

Answer choice d sorry if I late

What is the minimum value of the objective function, C, with the given constraints?

C=2x+3y




A) 2x+3y≤24

B) 3x+y≤15

C) x≥2

D) y≥3

Answers

Given:

The objective function, [tex]C=2x+3y[/tex],

Constraints,

[tex]2x+3y\leq 24[/tex]

[tex]3x+y\leq 15[/tex]

[tex]x\geq 2[/tex]

[tex]y\geq 3[/tex]

To find:

The minimum value of the given objective function.

Solution:

We have,

Objective function, [tex]C=2x+3y[/tex]            ....(i)

The related equations of given constraints are

[tex]2x+3y=24[/tex]       ...(ii)

[tex]3x+y=15[/tex]              ...(iii)

[tex]x=2[/tex], it is a vertical line parallel to y-axis and 2 units left from y-axis.

[tex]y=3[/tex], it is a horizontal line parallel to x-axis and 4 units above from y-axis.

Table of value for (i),

x :   0     12

y :   8     0

Table of value for (ii),

x :   0      5

y :   15     0

Plot these points on a coordinate plane and draw these 4 related lines.

The sign of inequality of [tex]2x+3y\leq 24[/tex] and [tex]3x+y\leq 15[/tex] is ≤, it means the related lines are solid lines and the shaded region lie below the related line.

For [tex]x\geq 2[/tex], left side of the line [tex]x=2[/tex] is shaded.

For [tex]y\geq 3[/tex], shaded region is above the line [tex]y=3[/tex].

From the below graph it is clear that the vertices of the feasible (common shaded region) are (2,3), (4,3), (3,6) and (2,6.667).

Points                     [tex]C=2x+3y[/tex]    

(2,3)                        [tex]C=2(2)+3(3)=4+9=13[/tex]    (Minimum)

(4,3)                        [tex]C=2(4)+3(3)=8+9=17[/tex]    

(3,6)                        [tex]C=2(3)+3(6)=6+18=24[/tex]    

(2,6.667)                 [tex]C=2(2)+3(6.667)=4+20=24[/tex]

Therefore, the objective function is minimum at point (2,3).

Find f(-2) for (x) = 2(4)x

Answers

Answer:

-16

Step-by-step explanation:

The question asks to find x from 2(4)x if x = -2

All that we have to do is substitute to get our answer :

f(-2) for (x) = 2(4)x

f(-2) = 2(4)(-2)

f(-2) = 2(-8)

f(-2) = -16

Therefore, x = -16

Answer:

-16

Step-by-step explanation:

Plug in -2 for x and then multiply 2 and 4 to get 8 (-2) which is then -16. Hope that helps!

4/x = 2/7 please help ASAP!!

Answers

Answer:

use cross multiplication to solve

4*7 = 2*x (multiply)

28 = 2x (divide both sides by 2 to isolate x )

x = 14 (your answer)

Step-by-step explanation:

I hope this helped :)

Answer:

Step-by-step explanation:

Or,2×x=7×4

Or,2x=28

Or,x=14

Expanded form of 6(y+x)

Answers

Answer:

6y + 6x

Step-by-step explanation:

the expanded form would be 6 multiplied to each item in the parenthesis

this gets you 6x + 6y

The answer is 6x+6y multiply the 6 by everything inside the brackets

Which statement is true of normally distributed data?

A.
Approximately 90% of data falls within 2 standard deviations (±2) of the mean.

B.
Approximately 90% of data falls within 3 standard deviations of (±3) the mean.

C.
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.

D.
Approximately 95% of data falls within 3 standard deviations (±3) of the mean.

Please explain and no answering just for points.

Answers

C

have a nice day!!!!!!!!!!!!!!!!!!!!!!!

Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.

What is a normal distribution?

A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.

Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.

As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.

In a normal distribution 68% of the values falls within 1 standard deviation

and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.

Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.

To learn more about normal distribution visit:

https://brainly.com/question/15103234

#SPJ1

If 2^x3^y=18 and 2^x×3^y=36 then find the value of x and y​

Answers

Answer:

x = 1

y = 2

Step-by-step explanation:

x=1 and y=2.

step 1 ,

2^2x*3^y=36

3^y= 36/2^2x ———- equal 1

step 2,

put the value of 3^y in 2^x*3^y = 18 (equal 1)

WHEN BASES ARE SAME POWERS ARE SUBTRACTED IN CASE OF DIVISION.

Therefore, 2^x-2^2x= 1/2

2^-x= 1/2

(1/2)^x = 1/2

COMPARING THE POWERS BECAUSE THE BASE IS SAME.

x=1.

Now, putting the value of x=1 in 2^x*3^y = 18

y=2.

Find the point that maximizes the objective functions P=2x+5y using constraints:
y>=10-2x
y<=7-1/2x
x>=0
y>=0​

Answers

Answer:

(2,6)

Step-by-step explanation:

I GIVEEE BRAINLI8LSTT C

Answers

Answer:

3,-2.

Step-by-step explanation:

hope this helps. :-)

nehhjjjjkkkkllllliiuuujjjjjjjjk

What is the value of p in the following division problem?
7/8 ÷ p = 1 11/24

Answers

Answer:

24 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 1 5 q5

Kiran's mother gets a restaurant bill for $25. She has a coupon for 15% off. After the
discount is applied, she adds 20% as a tip.
What is the total after the discount and tip? Explain or show your reasoning.

Answers

Answer:

$25.50

Step-by-step explanation:

So we have a 15% off coupon. We can multiply 25×.85 to find our new price.

Our total is now $21.25

Now to find the tip do $21.25 +(.2 × 21.25)

*The .2 is 20 percent of our discount price.*

We then get $25.50

PLEASE ANSWER ASASSP!!!!!!!!!!!!!!!!!!!!
Sovle the equation
-10 (g - 6) = 65
What is g?

Answers

Answer:

g=-1/2    can u you also mark me brainliest?

Step-by-step explanation:

Please help!! Find the length of the radius of circle O.

Answers

Answer:  4.5 units

Step-by-step explanation:

OD and OC are both radii of the circle O.  All radii of the same circle are equal.  Thus,

[tex]6x+2=10x-16[/tex]

18=4x

x=4.5

Hope it helps :)

Helpppppppppppppppppppp

Answers

Answer:

14

Step-by-step explanation:

i think cos x*2 = y

Us the regression equation, y= 4.39x-6.77, to predict the age of a tree that is 125 cm in diameter

Answers

Answer:

y = 542 years

Step-by-step explanation:

Given that,

The regression equation, y= 4.39x-6.77 is used to predict the age of a tree.

y is age of a tree and x is diameter

Put x = 125 cm

Put the value of x in above equation.

y = 4.39(125)-6.77

=548.75  - 6.77

= 541.98

or

y = 542

So, the tree is 542 years old.

Factor the expression using the GCF
16x+56y

Answers

8(2x + 7y)

8 is the largest number divisible by both 16 and 56

Answer:

8(2×+7y)

Step-by-step explanation:

8 is the largest factor

find the rate of travel for a fishing boat with a speed of 10 miles per hour moving Downstream with a current of 5 miles per hour ​

Answers

Answer:

36 miles (b+C) (3)of rate

What is the slope of the line that passes through
the points (-6, 6) and (10, -10)?

Answers

Answer:

-1

Step-by-step explanation:

as - 10-6/10-(-6)

Equals - 16/16

List the sides in order from shortest to longest. The diagram is not to scale. Triangle upper J upper K upper L is shown. Angle upper J is labeled 45 degrees. Angle upper K is labeled 57 degrees. Angle upper L is labeled 78 degrees. A. Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar, line segment JK B. line segment JK,Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar C. line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar D. Modifying above Upper L Upper K with bar, line segment JK, Modifying above upper L upper J with bar

Answers

Answer:

your answer would be C

Step-by-step explanation:

line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar

Stephen has a dog that weighs 5 times as much as lan's dog.
The total weight of both dogs is 72 pounds. How much does
Stephen's dog weigh?
Draw a diagram to find the weight of Stephen's dog.

Answers

Answer:

60 pounds

Step-by-step explanation:

5(5 times)*12(weight of lans dog)=60+12=72

Answer:

57.6

Step-by-step explanation:

72/5 = 14.4

72-14.4=57.6

I checked the answer by:

57.6+14.4=72

Geometry Special Quadrilaterals show work please

Answers

Answer:

a = 16

w = 125

x = 120

y = 55

Step-by-step explanation:

FINDING 'a'

31 = a + 46 / 2

62 = a + 46

16 = a

FINDING 'w'

* This section looks Non-Isosceles trapezoid so I will be following the rule according it

w + 55 = 180

w = 125

FINDING 'y'

y = 55

- Because of corresponding angles

FINDING 'x'

* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.

x + 60 = 180

x = 120

Hope this helped ^^

(Please inform me of any mistakes or misunderstandings!)

josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount?

get it right i will give you 100 points

Answers

Hey there! I'm happy to help!

Here's José's equation.

J=2a+15

And here is Nancy's.

N=3a+5

We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!

2a+15=3a+5

Subtract 15 from both sides.

2a=3a-10

Subtract 3a from both sides.

-a=-10

Divide both sides by -1.

a=10

Therefore, José and Nancy charge the same amount for 10 animals.

Have a wonderful day! :D

I NEED HELP NOW please

Answers

6
12
18
24
30
That is on the y side
6
12
18
24
30
On the y side
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