The table shows the number of one doctor’s patients who caught a cold one week and whether or not they exercised regularly. help me please!
Answers
2) P(did not exercise | did not catch a cold) = 1/16
3) P(did not catch a cold | did not exercise) = 1/6
4) The events "did not exercise" and "did not catch a cold" are dependent events.
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
The formula of the probability of an event A is:P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.
Conditional probability formula:For events A, B,
P(A|B) means, event A and event B are depends on each other.
P(A | B) = n(A ∩ B) / P(B)
For given situation:
the total number of doctor’s patients: 8 + 30 + 10 + 2 =50
⇒ n(S) = 50
Let event A: did not exercise
⇒ n(A) = 10 + 2
⇒ n(A) = 12
⇒ P(A) = 12/50
event B: did not catch cold
⇒ n(B) = 30 + 2
⇒ n(B) =32
⇒ P(B) = 32/50
patient who did not catch a cold as well as who did not exercise = A ∩ B
⇒ n(A ∩ B) = 2
⇒ P(A ∩ B) = 2/50
2) To find: P(did not exercise | did not catch a cold)
⇒ P(A | B) = P(A ∩ B) / P(B)
⇒ P(A | B) = [tex]\frac{\frac{2}{50} }{ \frac{32}{50} }[/tex]
⇒ P(A | B) = 2/32
⇒ P(A | B) = 1/16
3) To find: P(did not catch a cold | did not exercise)
⇒ P(B | A) = P(B ∩ A) / P(A)
⇒ P(B | A) = [tex]\frac{ \frac{2}{50} }{ \frac{12}{50} }[/tex]
⇒ P(B | A) = 2/12
⇒ P(B | A) = 1/6
4) Since P(B | A) ≠ P(B)
i.e., P(did not catch a cold | did not exercise) ≠ P(did not catch a cold)
This means, the events "did not exercise" and "did not catch a cold" are dependent.
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Related Questions
can I use Brainly on my laptop
Answers
Answer:
Yeah if you want too
Step-by-step explanation:
It depends if its school or personal
I'm using it on my own laptop
Step-by-step explanation:
A circle has a diameter of 10cm. Find the Area of this circle. Use 3.14 for Pi.
Answers
Step-by-step explanation:
to find area
A = Pi x r^2
r = d/2 = 10/2 = 5
i need help pls!
this test is about angles, and i am having trouble with it.
Answers
Answer:
supplementary angle
Step-by-step explanation:
angles 6 and 8 are same side exterior angles
Anita opened a savings account and deposited $600.00 as principal. The account earns 6% interest, compounded continuously. What is the balance after 1 year?
Use the formula A=Pert, where A is the balance (final amount), P is the principal (starting amount), e is the base of natural logarithms (≈2.71828), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent. ( help please)
Answers
Answer:
$637.10
Step-by-step explanation:
Given:
P = 600
r = 6% or 0.06
t = 1
Work:
[tex]A=Pe^{rt}\\\\A=600e^{0.06*1}\\\\A=600e^{0.06}\\\\A=637.10[/tex]
Henry is mixing concrete.To make
concrete he needs to mix cement,
sand and gravel in the ratio 4:3:1 by
weight. Henry needs to make 120 kg
of concrete. He has 65 kg of cement,
40 kg of sand and 15 kg of gravel.
Which ingredient is Henry short of?
Answers
Answer:
Sand
Step-by-step explanation:
120kg = (4 + 3 + 1) units = 8 units
1 unit = 120 ÷ 8 = 15kg
Calculating required quantities:
Cement: 4 units = 4(15) = 60kg
Sand: 3 units = 3(15) = 45kg
Gravel: 1 unit = 1(15) = 15kg
Comparing these values to those given in the question, he is short of sand.
You have 10 shirts. How many ways can
you select 5 shirts to pack for a trip?
Answers
Answer:
their is 50 ways.......
The possible combination, 252 ways you can pack shirts for a trip.
What is a permutation?Mathematical calculations are used to determine the number of different configurations for a given set, and this procedure is referred to as permutation. A permutation is a phrase that, simply put, refers to the diversity of alternative configurations or ordering. When employing permutations, the sequence of the arrangement is crucial.
Formula for combination is
n!/(r! x (n-r)!),
where n is a number of shirts and r is the shirts selected.
In combination,
order doesn’t matter, as opposed to permutation.
According to the question,
n = 10 and r = 5
Then substituting the above values to the formula,
that means,
10! / ( 5! x 5!)
= 10x9x8x7x6 / ( 5x4x3x2x1)
= 252
Therefore, You can pack 5 shirts in 252 ways.
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5y - 2y = 3y + 2
please help.
Answers
Triangle ABC has coordinates A(-3, 2), B(-2, 4), and C(-2, 1). If the triangle is reflected over the y-axis, what are the coordinates of A'?
Answers
Answer:
A=3, 2
B= 2,4
C= 2, 1
If i'm not wrong
Point A(-3,2)) reflected over the y-axis becomes: A'(3,2).
Point B(-2,4) reflected over the y-axis becomes: B'(2,4).
Point C(-2,1) reflected over the y-axis becomes: C'(2,1).
Select ALL of the expressions that are equivalent to 3(8-4x)
24 - 4x
12x - 24
24 - 12x
-12x + 24
2(12 - 6x)
Answers
Step-by-step explanation:
24-12x,and 2(12-6x)
hope it helps
Factor 5a2 - 30a + 40.
A) 5(a - 2)(a + 4)
B) (a - 20)(a - 2)
O C) 5(a - 2)(a - 4)
OD) (5a - 5)(a - 8)
Answers
u factor out a 5 first and then factor the polynomial expression that remains
3
Find the value of a
in the equation,(3+4√3)(2-a√3)=-18+2√3
Answers
Given:
The equation is:
[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]
To find:
The value of a.
Solution:
We have,
[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]
On simplification, we get
[tex](3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}[/tex]
[tex]6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}[/tex]
[tex]6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}[/tex]
[tex](6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}[/tex]
On comparing both sides, we get
[tex]6-12a=-18[/tex]
[tex]-12a=-18-6[/tex]
[tex]a=\dfrac{-24}{-12}[/tex]
[tex]a=2[/tex]
And,
[tex]8-3a=2[/tex]
[tex]-3a=2-8[/tex]
[tex]a=\dfrac{-6}{-3}[/tex]
[tex]a=2[/tex]
Therefore, the value of a is 2.
Solve for m.
√m-7=n+3
m = n2 + 6n + 2
m = n2 + 6n - 2
m = n2 + 6n + 16
Answers
Answer:
m= n² + 6n + 16
Step-by-step explanation:
i hope it helps
Answer:
m= n² + 6n + 16
Step-by-step explanation:
NEED ANSWERS FAST!!! If there are 17 blue and white stripes on the flag and 9 of them are blue, how many are white?
Answers
After finishing an online purchase, a popup invites you to participate in a customer satisfaction poll.
What type of bias is most likely to present?
a) Sampling bias
b) Voluntary response bias
c) Self interest study
d) Loaded questions
Answers
What is the m angle3 ?
Answers
The measure of m<3 is 105 degrees
Using the law that states that the sum of an interior angle of a rectangle is equal to the exterior.
From the given diagram;
m<X + m<Y = m<3
Given that m<X= 55 degrees and m<Y = 50 degrees
m<3 = 55 + 50
m<3 = 105 degrees
Hence the measure of m<3 is 105 degrees
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Find the area of the image below
Answers
Answer:
The answer is 65 square units
PLEASE HELP! WILL AWARD BRAINLIEST TO THE FIRST CORRECT ANSWER!
If a/b=6, b/x=36, and a=36, what is the value of 1/x?
A) 1/2
B) 2
C) 3/2
D) 4
E) 6
Answers
Answer:
E) 6
Step-by-step explanation:
a/b = 6
36/b = 6
6b = 36
b = 36/6 = 6
b/x = 36
6/x = 36
36x = 6
x = 6/36 = 1/6
hence 1/x = 6
Answer:
E) 6
Step-by-step explanation:
a/b=6, b/x=36, and a=36
=>a = 6b
36 = 6b => b =6
b/x = 36 => x = b/36 = 6/36
so, 1/x = 36/6 = 6
5. What is the value of 8 in the unit circle below?
30°
600
b.
45°
d.
90°
Answers
9514 1404 393
Answer:
θ = 60°
Step-by-step explanation:
The angle is more than 45° and less than 90°. The only viable choice is ...
θ = 60°
__
We can only read the x-coordinate of the point on the terminal ray. It is 1/2, which is the cosine of 60°. The angle must be 60°.
PLZ HELP I WILL GIVE BRAINLIEST
Answers
Answer:
33 m^2
Step-by-step explanation:
Since the area of a kite can be found by h1*b1 + h2*b2, the area is
3 * 1 + 3 * 10 = 33 m^2
Find the slope of the line that passes through (-1, -3) and (-2,2).
Answers
Answer:
-5
Step-by-step explanation:
Answer:
slope = -5
Step-by-step explanation:
m = y2-y1/x2-x1 (this is the equation for finding a slope of 2 points)
so plug them into this equation.
2+3/-2+1 = 5/-1 = -5.
the slope is -5
I WILL GIVE BRAINLIEST IF YOU HELP
Find the area of the polygon below in square units.
Answers
Answer:
20 square units
Step-by-step explanation:
this polygon is a trapezoid
the formula to find the area is 1/2(b1+b2)h
If you were to rotate the image counterclockwise you would see that b1 = 6 untis and b 2 is 4 units and the height would be 4 units
when you plug that into the calculator you get
1/2(6+4)4 = 20 square units
What's the value of 2. X/10=2
Answers
Answer:
x = 20
Step-by-step explanation:
x/10 = 2 multiply both sides of the equation by ten ↓
10x x/10 = 10 x 2 reduce the numbers with the greatest common factor 10 ↓
x = 10 x 2 multiply the numbers ↓
x = 20
Can someone please please answer this
Answers
Answer:
10°
Step-by-step explanation:
You can see the three angles shown form a straight line, meaning they add up to 180°. We can et up the equation:
m<AOC + m<COD + m<DOB = 180°
And we can substitute the values we have:
5a + 18 + 24 - a + 8a - 30 = 180
Next, we can combine all like terms:
12a + 12 = 180
12a = 168
a = 14
Now, to find each angle, we can substitute the value of a:
m<AOC = 5a + 18 = 5(14) + 18 = 88°
m<COD = 24 - a = 24 - 14 = 10°
m<DOB = 8a - 30 = 8(14) - 30 = 82°
The smallest angle is <COD with a measure of 10°.
1. Richard bought 4 shirts that cost $85 all together. Each shirt cost the same
amount. The model below represents this situation.
Which equation below and solution for x does the model represent?
A 2x + 2x = 85, x = 42.50
B 4 + x = 85, x = 21.25
C x + x + x + x = 85, x = 21.00
D 4x = 85, x = 21.25
Answers
Answer: D
Step-by-step explanation:
HEKLPP
AINL
WILL
GIVE BRAINLIST
Answers
Answer:
2option is the correct answer
3/8 x 2 what would the answer be to this statement
Answers
Answer:
6/16
Step-by-step explanation:
Gabrielle's team scored 18 points the first half of a basketball game and 9 points the second half of the game: Gabrielle scored 1/3 of the points. How many points did Gabrielle score?
Answers
and if he scored 1/3 of the points i’m pretty sure he’d score 1/3 of 27, which is 9
18+9=27
27 divided by 3=9
ANSWER THIS ASAP NO FILE AT ATT!! THIS MY LAST QUESTION JUST GET IT RIGHT PLEASE
Answers
Answer:
I believe the answer is A
Answer:
A is your answer I think
Step-by-step explanation:
maybe wait for someone else to answer as well haha
Write an addition equation or a subtraction equation (your choice!) to describe the diagram.
Answers
A bag contains 56 marbles: 7 red, green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
Answers
Answer:
8/56
Step-by-step explanation:
Add up all other marble colors then find the difference from the total.
Answer:
1/7
Step-by-step explanation:
there are 8 green marbles out of 56 so the probability would be 8/56 which simpliefies to 1/7 or 14.285714%