In a faraway land, there are 72% white people. There are 30% of people have a particular disease. And if you randomly select a person, that person has 20% chance of being white and have the disease. (a) What proportion of students are non-white and who is healthy? (b) Kelly’s race is white, what is the chance that she has this disease? (c) Are the events of being white and having the disease independent events? (d) If you randomly select 10 people, what is the chance that 2 have the disease?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the probability of people being white be P ( W ) and being diseased

be P ( D )

Given

P ( W ) = .72 ,  P ( D ) = .3

P ( W∩D ) = .2

a )

P ( [tex]W^c[/tex] ∩ [tex]D^c[/tex] ) = P[tex]( WUD)^c[/tex] = 1 - P ( W U D )

= 1 - [ P( W ) + P ( D ) - P ( W ∩ D ) ]

= 1 - ( .72 + .3 - .2 ) = .18

b )

P ( D / W ) = P ( W∩D ) / P(W) = .2 / .72 = .27778

c )

No , because

P ( W∩D ) = .2

p ( W)  x P ( D ) = .72  x .3 = .216

so P ( W∩D )  is not equal to P ( W)  x P ( D )

d )

We shall apply binomial distribution

chance = 10C₂ x  .3² ( 1 - . 3 )⁸


Related Questions


Please answer fast will make you brainlest

Answers

Answer:

the correct answer would be left 7

Step-by-step explanation:

because in this case |x-7| -7= left 7 and +7 is right 7 also it is within the function

I hope this helps

mark brainliest if you can

Answer: B.

7 units to the left.

Select the equivalent expression.
3-5 = ?
Choose 1 answer:
A (-3)
B
-35
1
35

Answers

Answer:

[tex]\boxed{\bold{[C] \ \ \ \ \frac{1}{3^5} } }}[/tex]

Explanation:

Apply Exponent Rule: [tex]\bold{\:a^{-b}=\frac{1}{a^b}}[/tex]

[tex]\bold{3^{-5}: \ \frac{1}{3^5} }[/tex]

The equivalent expression for [tex]3^{-5[/tex] using exponent is [tex]\( \dfrac{1}{3^5} \)[/tex].

Explanation:

When we have a negative exponent, it indicates the reciprocal of the base raised to the positive exponent.

In this case, [tex]3^{-5[/tex] means the reciprocal of [tex]3^5[/tex].

To compute [tex]\( 3^5 \)[/tex] raise 3 to the power of 5, which gives us

[tex]\( 3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243 \)[/tex]

Now, to get the reciprocal of 243,

simply take [tex]\( \dfrac{1}{243} \)[/tex], which is the same as [tex]\( \dfrac{1}{3^5} \)[/tex].

So, [tex]\( 3^{-5} = \dfrac{1}{3^5} = \dfrac{1}{243} \)[/tex].

Learn more about Exponents and power here:

https://brainly.com/question/5497425

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help please very important

Answers

domain is (-10, infinity) and range is negative infinity, positive infinity.

Find the perimeter of the figure below , composed of a rectangle and two semicircles .round to the nearest tenths place

Answers

Answer:

74

Step-by-step explanation:

22/7 × 14 × ½ × 2 = 44

15 + 15 = 30

30 + 44 = 74

I will give brainliest answer

Answers

Answer:

  4 right; 4 up

Step-by-step explanation:

The difference between the two points is ...

  P'(1, 5) -P(-3, 1) = (1-(-3), 5-1) = (4, 4)

The translation is 4 units to the right and 4 units up.

There are n applicants for the director of computing. The applicants are interviewed independently by each member of the three-person search committee and ranked from 1 to n. A candidate will be hired if he or she is ranked first by at least two of the three interviewers. Find the probability that a candidate will be accepted if the members of the committee really have no ability at all to judge the candidates and just rank the candidates randomly. In particular, compare this probability for the case of three candidates and the case of ten candidates.

Answers

Answer:

for  n =  3

       [tex]Z(3) = 0.26[/tex]  

for  n =  10

       [tex]Z(3) = 0.028[/tex]

Step-by-step explanation:

from the question we are that

  The  number of applicant is n

  The  number of  people on the committee is [tex]N = 3[/tex]

 

Generally given that the applicant ranking is random the probability of a candidate being accepted is mathematically represented as

       [tex]Z(n) =  N  *  \frac{1}{n} *  \frac{1}{n}  *  \frac{n-1}{n}  + \frac{1}{n} *  \frac{1}{n} * \frac{1}{n}[/tex]

Now  for  n =  3

       [tex]Z(3) =  3  *  \frac{1}{3} *  \frac{1}{3}  *  \frac{3-1}{3}  + \frac{1}{3} *  \frac{1}{3} * \frac{1}{3}[/tex]      

         [tex]Z(3) = 0.26[/tex]            

Now  for  n =  10

       [tex]Z(3) =  3  *  \frac{1}{10} *  \frac{1}{10}  *  \frac{10-1}{10}  + \frac{1}{10} *  \frac{1}{10} * \frac{1}{10}[/tex]      

         [tex]Z(3) = 0.028[/tex]

a.
2 • (3(5 + 2) - 1)

Answers

Step-by-step explanation:

2(3(7)-1)

= 2(21-1)

=2(20)

=40

Which set of angle measures could be the interior angles of a triangle?
OA. 15°, 48°, 27°
OB. 56°, 45°, 46°
OC. 42°, 84°, 64°
D. 93°, 29°, 58°
PLEASE HURRYYYYY

Answers

Answer:

C

Step-by-step explanation:

An identification code is to consist of 4 letters followed by 2 digits. Determine the following
a) How many different codes are possible if repetition of letters is permitted, repetition of numbers is not permitted, and the first three entries must all be the same letter
b) How many different codes are possible if the first letter must be an A, B, C, or D and repetition is not permitted?

Answers

explanation

Counting Possibilities with Repetition or No Repetition:

Counting the number of possibilities in a given situation can vary quite a bit depending on whether repetition is allowed or not. For example, if trying to find how many 6 letter passwords can be made with 10 letter choices, if the letters are allowed to be repeated then there are 10 choices for each letter in the password - resulting in... 10 x 10 x 10 x 10 x 10 x 10 = 10^6 =1,000,000 possible passwords.

However, if repetition of letters is not allowed, then there are 10 choices for the first letter, but only 9 for the second, 8 for the third, and so on. This results in only 10 x 9 x 8 x 7 x 6 x 5 = 151,200

Answer :

There are 26 letters to choose from and 10 digits (0 through 9).

(a) If the first three entries must all be the same letter, then there are 26 choices for the first entry, but only one choice for the second and third entries. The fourth entry can then be any letter, so there are 26 possible choices for the fourth entry. The fifth and sixth entry must be digits, but repetition of numbers are not permitted. So the fifth entry has 10 choices and the sixth entry only has 9 choices. This is a total of 26 x 1 x 1 x 26 x 10 x 9= 60,840

b) If the first letter must be one of A, B, C, or D, then there are 4 choices for the first entry. No repetition is allowed, so the second entry must be chosen out of the 25 remaining letters, and similarly the third and fourth entry will have 24 and 23 choices each. The fifth and sixth entry must be digits, but repetition of numbers are not permitted. So the fifth entry has 10 choices and the sixth entry only has 9 choices.  4 x 25 x 24 x 23 x 10 x 9=4,968,000 different codes

hope this helped alittle ..

PLEASE ANSWER 100 PTS AND WILL MARK BRAINLIEST.

Answers

Answer:

1

Step-by-step explanation:

We have the graph of f(x).

In order to find f(0), we simply need to find the y-coordinate of the coordinate when x is 0.  

From the graph, we can see that there is a point at (0,1).

In other words, when x is 0, f(x) is 1.

Therefore:

[tex]f(0)=1[/tex]

The answer is 1! Hope that helps a little-

Show that y2+ x-3 =0 is an implicit solution to dy/dx =-1/ (2y) on the interval (- [infinity] , 3)

Answers

Answer:

Implicit function

[tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]

Step-by-step explanation:

Explanation:-

Given  y² + x - 3=0 ...(i)

Differentiating equation (i) with respective to 'x', we get

                   [tex]2 y \frac{d y}{d x} +1 = 0[/tex]

           ⇒     [tex]2 y \frac{d y}{d x} = -1[/tex]

           ⇒     [tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]

                 [tex]\frac{d y}{d x} = \frac{-1}{2 (3)}[/tex]

                 [tex]\frac{d y}{d x} = \frac{-1}{6}[/tex]

 

Help help help hel help

Answers

Answer:

[tex]\huge\boxed{ \text{(A)}\ \ \frac{1}{10}, -\frac{1}{10}}[/tex]

Step-by-step explanation:

We can simplify this expression down so that we have x isolated on one side of the equation.

So we can take the square root of both sides.

[tex]x = \sqrt{\frac{1}{100}}[/tex]

The square root of [tex]\frac{1}{100}[/tex] will be the number that, when multiplied by itself, will get us [tex]\frac{1}{100}[/tex].

In order to find the square root of a fraction, the numerator squared must correct and the denominator squared must be correct.

[tex]1^2 = 1[/tex]

[tex]10^2 = 100[/tex]

This means that we have the values 1 and 10. Therefore one of our fractions is [tex]\frac{1}{10}[/tex].

HOWEVER: A negative number squared is a positive. So this also works:

[tex]-1^2 = 1\\\\-10^2=10[/tex]

So we have [tex]-\frac{1}{10}[/tex] along with  [tex]\frac{1}{10}[/tex].

Hope this helped!

If shown,

AB

and

CD

are straight lines. Find x in each case.
WILL MARK BRAINLISIT

Answers

Answer:

x=60

Step-by-step explanation:

here DOB and AOC are vertically opposite angles and the values of them are equal. so lets take the two angles as y.

x+DOB is 90(because EOA is 90 and the sum of angles in a straight line is 180), DOB is y and can write a equation as x+y=90

and 30+2x+y = 180 ,

2x+y=150, (180-30)

then two equations can be made.

x+y=90

2x+y=150

simplifying these two simultaneous equations

can get x as 60. and 2x is 120.

The value of x is 60°

What are complementary angles?

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.

Here, DOB and AOC have equal values and are at vertically opposed angles. Let's use y to represent the two angles.

Since EOA is 90 and the total of the angles in a straight line is 180, x+DOB equals 90 and can be written as x+y=90.

And 30 + 2x + y = 180 ,

⇒ 2x+y = 180-30

⇒ 2x + y = 150,

After which two equations can be created.

⇒ x+y=90

⇒ 2x+y=150

We have the two simultaneous equations made simpler.

We can get x as 60. and 2x as 120.

Thus, the value of x is 60°

Learn more about the complementary angles here:

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who ever is good with angles please answer

Answers

angle x is equal to 195°

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 165°}}}}}[/tex]

Step-by-step explanation:

Sum of complete turn adds up to 360°

Given angles : 63° , 42 ° , 90 ° , x°

To find : x

Create an equation

[tex] \sf{x + 63° + 42° + 90° = 360°}[/tex]

[tex] \dashrightarrow{ \sf{x + 195° = 360°}}[/tex]

[tex] \dashrightarrow{ \sf{x = 360° - 195°}}[/tex]

[tex] \dashrightarrow{ \sf{x = 165°}}[/tex]

Hope I helped!

Best regards! :D

Sophia drives 6.12 miles each time she goes to visit her grandparents. How far will Sophia drive if she visits her grandparents 9 times?​

Answers

Answer:

55.08

Step-by-step explanation:

6.12 times 9

55.08

A stable roommate problem with 4 students a, b, c, d is defined as follows. Each student ranks the other three in strict order of preference. A matching is defined as the separation of the students into two disjoint pairs. A matching is stable if no two separated students prefer each other to their current roommates. Does a stable matching always exist

Answers

Answer:

Each student ranks the other three in strict order of preference.

Step-by-step explanation:

When  4 different students from different background and personality lives together, there seems to be a room for the problems and stability between them. When the problem of stability arises, it would be as a result of the other 3 students ranking each other in strict order of preference regarding to their relationship and association.

T is the midpoint of RS, RT = x-1, and RS = 3x - 17 What is the length of RT? Enter your answer in the box ​

Answers

Answer: 14

Step-by-step explanation:

RT= x- 1 = 15 - 1 = 14

RS = 5x, ST = 3x, and RT = 48

Answers

Answer:

[tex]x= 6[/tex]

Step-by-step explanation:

RT = RS + ST

[tex]48=5x+3x[/tex]

[tex]48=8x[/tex]

Swap sides:

[tex]8x=48[/tex]

Divide both sides by 8:

[tex]\frac{8x}{8} =\frac{48}{8}[/tex]

[tex]x=6[/tex]

1.4-1.2

Carry division to


nearest hundredths

place.

Answers

Answer:

To the nearest Hundredth = 1.17

Step-by-step explanation:

CARRYING THE DIVISION OF 1.4 / 1.2 to the nearest hundredths place

= 1.4 / 1.2

= 1.16666667

≈ 1.17

rounding off to the nearest hundredth means rounding off your answer to only two decimal places

What is greater? X or -X and Why?

Answers

Step-by-step explanation:

A negative number(or variable, in this case) is less than 0. For example, which is greater, 3 or -3? 3, right?

In variables, x or a or m or whatever, can also be represented as 1x or 1a or 1m, and so on. So in the question, it's asking which is greater, x or -x? Think of the variables as 1x or -1x.

So 1x is greater.

Hope it helps!

Answer:

X is

Step-by-step explanation:

A negative number is always leeser than a whole number

Hope this helps

Plz mark brainlest

how do i know the unknown quantity​

Answers

Answer:

15 cakes

Step-by-step explanation:

Cross multiply: 125(3)=25x

Simplify: 375=25x

Divide 25 on both sides: 15

Add units!

Hope it helps! Comment if you have any questions!

81 less than f equals 197

Answers

Answer:

[tex]f=278[/tex]

Step-by-step explanation:

[tex]f-81=197[/tex]

Add 81 to both sides:

[tex]f-81+81=197+81[/tex]

[tex]f=278[/tex]

f - 81 = 197
f = 278

Add 81 to both sides to solve for f

Mr. Andrews is trying to lose weight. He starts the year weighing 254 pounds. If he plans to burn enough calories to lose 4 pounds per week, then how many weeks will pass before Mr. Andrews weigh 228 pounds ?

Answers

Answer: bruv what’s the a answer

Step-by-step explanati

1-x-5x=8x-5
Show your work

Answers

Answer:

x = -13x + 6

Step-by-step explanation:

1-x-5x=8x-5

1-x = 13x-5

-x = 13x-6

x = -13x + 6

Hope this helps!

Plz name brainliest if possible!

What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?
y = –10

Answers

Answer:

(6 x -10) - 2(-10+1) = 3(-10-2) + 6

-60 + 18 = -36 + 6

-42 is not equal to  -30

Sorry it can't be answered. If it is -6 instead of + 6, it would be equal

Determine the remaining sides and angles of the triangle ABC.
A. 18.95 degree.
B. 0.56 degree.
C. 17.83 m.

Answers

Answer:

Angle C  ∠C = 160.49°

side b =  0.522  m

side a = 17.34 m

Step-by-step explanation:

Given that;

In a Δ ABC,

∠A = 18.95°

∠B = 0.56°

∠C = ???

side A = ???

side B = ???

side C = 17.83 m

We are to determine the unknown missing sides and the angle.

We know that, the sum of angles in a triangle = 180°

∠A + ∠B + ∠C = 180°

18.95° + 0.56° + ∠C = 180°

∠C = 180° - 18.95° - 0.56°

∠C = 160.49°

Using sine rule to determine the unknown sides. The sine rule can be expressed as:

[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]

To determine side b, we have:

[tex]\mathtt{ \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]

[tex]\mathtt{ \dfrac{sin \ 0.56^0}{b} = \dfrac{sin \ 160.49}{17.83} }[/tex]

[tex]\mathtt{ b (sin \ 160.49) = 17.83 (sin \ 0.56)}[/tex]

[tex]\mathtt{ b = \dfrac{17.83 (sin \ 0.56)}{(sin \ 160.49)}}[/tex]

[tex]\mathtt{ b = \dfrac{17.83 \times 0.0097737}{0.33397}}[/tex]

[tex]\mathtt{ b = \dfrac{0.174265071}{0.33397}}[/tex]

b  = 0.522  m

For side a, we have

[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} }[/tex]

[tex]\mathtt{\dfrac{sin \ 18.95}{a} = \dfrac{sin \ 0.56}{0.522} }[/tex]

[tex]\mathtt{a \times sin \ 0.56 = 0.522 (sin \ 18.95)}[/tex]

[tex]\mathtt{a = \dfrac{0.522 (sin \ 18.95)}{ sin \ 0.56}}[/tex]

[tex]\mathtt{a = \dfrac{0.522\times 0.3247 }{ 0.0097737}}[/tex]

a = 17.34 m

The circumference of a circle varies directly with its radius.
If the circumference of a circle with a radius of 1.5 in. is 9.42 in.,

what is the circumference of a circle with a radius of 9 in.?

Use π=3.14. Round your answer to the nearest inch.

Answers

Answer:

1) Circumference = 2πr

C = 2 x π x 9

C = 18π = 56.548... = 57 inches (to the nearest inch)

2) 6h = $52.50

1h = $52.50/6 = 8.75

11h = 8.75 x 11 = $96.25 = $96 (to the nearest cent)

(57)

Show the conjecture is false by finding a counterexample.
m If m does not equal -1, then < 1.

Answers

Dividing any positive number m over (m+1) leads to a positive result that is smaller than one. This is because the denominator is larger than the numerator.

However, if m is negative, then it's a different story. Consider m = -2

If m = -2, then m+1 = -2+1 = -1

Meaning that [tex]\frac{m}{m+1} = \frac{-2}{-1} = 2[/tex] but this result is not less than 1

So m = -2 is one counterexample of infinitely many to show that [tex]\frac{m}{m+1} < 1, \text{ with } m \ne -1[/tex] is not always true. If you restricted m to be positive, then the inequality would be true.

-4x-7+7x-3 simplify

Answers

Answer:

3x - 10

Step-by-step explanation:

first set up the like variables next to each other

-4x + 7x - 7 - 3

Then, combine like variables

-4x + 7x = 3x

-7 - 3 = -10

The answer is:

3x - 10

Answer: 3x - 10

Step-by-step explanation:

To simplify you need to combine all like terms, and the only terms here are x terms and number ones, so you would combine those to have

3x - 10

7x - 4x

-7 -3

Which models show 40%?
Check all that apply.
A,B or C??​

Answers

A the top one because 4 are shaded out of 10 and 4/10 is 40%

Answer:

A and B

A is 4/10 which is equivalent to 40/100 (40% in fraction form)

and B is 40/100

(the shortcut is to count the blocks going across and then going down and multiply in this case it gives you 100 for the whole square and 40 shaded)

C is 2/10 or 20%

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