To test for a disease, technicians mix the blood samples from 8 people then test the mixture. The mixture will test positive for the disease if and only if one or more of the 8 blood samples in the mixture contains the disease. Find the probability that the mixture will test positive given that there is a 52% chance of any particular sample testing positive.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]1-(0.52^8)\approx 0.99465402714[/tex]


Related Questions

sin (3x) dx = ?
find the integral

Answers

Answer:

[tex]\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C[/tex]

General Formulas and Concepts:

Calculus

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Trig Integration: [tex]\displaystyle \int{sin(x)} \, dx = -cos(x) + C[/tex]

U-Substitution

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int {sin(3x)} \, dx[/tex]

Step 2: Identify Substitution Variables

u = 3x

du = 3dx

Step 3: Integrate

[Integral] Rewrite:                                                                                           [tex]\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx[/tex][Integral] U-Substitution:                                                                                [tex]\displaystyle \frac{1}{3}\int {sin(u)} \, du[/tex][Integral] Trig Integration:                                                                              [tex]\displaystyle \frac{1}{3}[-cos(u)] + C[/tex][Expression] Multiply:                                                                                     [tex]\displaystyle \frac{-cos(u)}{3} + C[/tex][Expression] Back-Substitute:                                                                        [tex]\displaystyle \frac{-cos(3x)}{3} + C[/tex]

Can someone help me with this please?

Answers

Answer:

THE SECOND BULLET

Step-by-step explanation:

Answer:

3n and n

Step-by-step explanation:

like terms are similar terms

1) Plz help with these 2 questions having a hard time thank you ;)

Answers

Leading coefficient is 7

What is the equation for the line of reflection? ​

Answers

x=6

hopefully im not wrong^^

One graph below shows the language arts test scores for students versus the time they spent studying. The other graph shows the language arts test scores versus the spelling test scores for the students.

Answers

Answer:

b

Step-by-step explanation:

hope his helped

Answer:

the answer is

B. They both have a positive correlation, but Graph 2 has a stronger association.

Step-by-step explanation:

2+2
uhhh help plzzzzzz

Answers

Answer:

6

Step-by-step explanation:

4

how is 3 x 3/6 the same as 9 x 1/6

Answers

Answer:

3/1 times 3/6 = 9/6

9/1 times 1/6 = 9/6

Step-by-step explanation:

Solve x for -2x- 1 = -7

Answers

Answer:

x = 3

Step-by-step explanation:

Add 1 on both sides.

We get:

-2x = -6

Now divide -6 by -2...

-6/-2 = 3

-2x -1 = -7

add the "-1" on both sides, -2x -1 +1 = -7 +1

-2x = -6

divide "-2" on both sides, -2x/-2 = -6/-2

x = 3

Do
10 cm
10 cm
20 cm
form an triangle?

Answers

Answer:

No it is unable to form a triangle.

Step-by-step explanation:

It cannot be because one side is two times the other side, and there are two of the "other sides". It cannot form a triangle.

Answer:

Step-by-step explanation:

Which of the expressions below is greater than 100? Select all that apply.

A) 41.588 + 48.112
B) 25.768 + 77.312
C) 93.546 + 7.015
D) 297.354 – 195.81
E) 112.457 – 11.982

Answers

Answer:

The answer is b, c, d and e

Select the most appropriate response. An event A will occur with probability 0.4. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.20. We may conclude Question options: that events A and B are independent. that events A and B are dependent. that either A or B always occurs. that events A and B are mutually exclusive.

Answers

Answer:

Events A and B are dependent

Step-by-step explanation:

If A and B are two events such as A and B are dependent then

P(A∩B) [tex]\neq[/tex] P(A) P(B)

An event A will occur with probability 0.4 that is [tex]P(A)=0.4[/tex]

An event B will occur with probability 0.6 that is [tex]P(B)=0.6[/tex]

[tex]P(A)P(B)=0.4(0.6)=0.24[/tex]

The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20

Therefore,

P(A∩B) [tex]\neq[/tex] P(A) P(B)

So,

events A and B are dependent

According to the given probabilities, it is found that events A and B are dependent.

What are independent events?

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, the probabilities given are:

[tex]P(A) = 0.4, P(B) = 0.6, P(A \cap B) = 0.2[/tex]

The multiplication is:

[tex]P(A)P(B) = 0.4(0.6) = 0.24[/tex]

Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], the events A and B are dependent.

You can learn more about dependent and independent probabilities at https://brainly.com/question/14478923

729 ÷ 0.9
Do the solution
If its right i will make
You the brainliest

Answers

Answer:

Here's your ans

hope it helps you

Jenna's class brought in 40 pieces of fruit for a celebration and 32 pieces of fruit were eaten. What percentage of the fruit was NOT eaten?

Answers

Answer:

20%

Step-by-step explanation:

40 pieces total

32 pieces eaten

40 - 32 = 8

8 pieces not eaten

Percentage = (part / whole) x 100%

Percentage = (8 / 40) x 100% = 0.2 x 100%

Percentage = 20%

Find the perimeter of the figure.
9 ft
9 ft
9 ft
9 ft
30 ft
perimeter:
ft

Answers

Answer: 66

Step-by-step explanation: 9+9=18 18+9+9= 36+30=66

What is the percent of increase from 25 to 26?

Answers

Answer:

4 percent

Step-by-step explanation:

because the new value is greater than the old value

The Answer is  4 percent

20 points plus brainliest
For each graph, decide whether or not it is a function.

Answers

I've already answered this but

1. it is a function

2.it is a function

3.it is not a function

4.it is not a function

hope this helps :)

Find tan0 where 0 is the angle shown

PLEASE I NEED HELP

Answers

Answer:

tan = 12/5..............

URGENT Q: A bicycle company produces y bicycles at a cost represented by the polynomial y² + 10y + 100,000. The revenue for y bicycles is represented by 2y^2 + 10y + 500. Find a polynomial that represents the company's profit. If the company only has enough materials to make 300 bicycles, should it make the bicycles?

Answers

Answer:

The company should not make 300 bicycles.

Step-by-step explanation:

Mathematically speaking, profit ([tex]P(y)[/tex]) equals the difference between revenue ([tex]R(y)[/tex]) and cost ([tex]C(y)[/tex]). That is:

[tex]P(y) = R(y) - C(y)[/tex] (1)

If we know that [tex]R(y) = 2\cdot y^{2}+10\cdot y + 500[/tex] and [tex]C(y) = y^{2}+10\cdot y+100000[/tex], then the profit function is:

[tex]P(y) = 2\cdot y^{2}+10\cdot y +500 -y^{2}-10\cdot y -100000[/tex]

[tex]P(y) = y^{2}-99500[/tex] (2)

The company can make the required amount of bicycles if and only if [tex]P(y) > 0[/tex]. If [tex]y = 300[/tex], then the profit of company is:

[tex]P(300) = 300^{2}-99500[/tex]

[tex]P(300) = -9500[/tex]

The company should not make 300 bicycles.

1 4/5 divided by 2 7/10

Answers

Answer:

2/3

Step-by-step explanation:

In order to divide fractions, you'll have to multiply the first number by the second number's reciprocal.

So it would be 1 4/5 times the reciprocal of 2 7/10.

Reciprocal of 2 7/10 = Reciprocal of 27/10 = 10/27.

So 1 4/5 x 10/27 = 2/3

Answer:

2/3

Step-by-step explanation:

1 4/5 ÷ 2 7/10

Convert these into improper fractions

(Denomintaor × whole number + numerator)/denoninator

(5 × 1 + 4)/5

9/5

(10 × 2 + 7)/10

27/10

Now the equation says:

9/5 ÷ 27/10

Use the method copy dot flip, meaning rewrite the first fraction, change the division sign to multiplication, and use the reciprocal of the last fraction

9/5 × 10/27

Multiply the numerators and denominators separately

(9 × 10)/(5 × 27)

90/135

Simplify

Both 90 and 135 can evenly fit 15

90 ÷ 15 = 6

135 ÷ 15 = 9

6/9

This can still be simplified further

Both 6 and 9 can evenly fit 3

6 ÷ 3 = 2

9 ÷ 3 = 3

2/3

This cannot be simplified any further

write each of these ratios in its simplest form 15 is to 20​

Answers

Answer:

3:4

Step-by-step explanation:

This ratio can be written as 15/20. 15 and 20 are both divisible by 5 so if you simplify this fraction by dividing both numbers by 5 you get 3/4 or 3:4.

What is 36divided by 6.

Answers

Answer:

6

Step-by-step explanation:

It is six because 6x6=36

what number goes into 105 and 90

Answers

Answer:

15

Step-by-step explanation:

Yw

Answer:

5

Step-by-step explanation:

How do you do the last couple of questions?

Answers

Answer:

SANAOL COMPUTER

Step-by-step explanation:

SORRY DI KO PO ALAM EHH

Why is it important that you put the polynomial in standard form (largest power
to smallest-power)? *

Answers

Answer: Polynomials like to be written in standard form. This means they contain no like terms and the exponents are in descending order (largest to smallest).

Step-by-step explanation:

Lunch costs $2.25 per day. An equation showing the relationship between
the number of days, d, and the total cost of lunch, c, is c = 2.25d What is
the dependent variable?*

d = the number of days
c = the total cost of lunch

What is the answer?

Answers

Answer:

The dependent variable is c

Step-by-step explanation:

The cost of lunch changes with each day, so the cost depends on the number of days

Answer:

i agree c is the total cost

Step-by-step explanation:

please help Use the expression 8a + 16c.
Part A
Factor the expression using the GCF.
A. 2(4a + 8c)
B. 4(2a + 4c)
C. 8(a + 2c)
D. 16(12a + c)
Part B
What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.

Answers

Answer:

C  89a + 2c)

Step-by-step explanation:

The largest factor of both 8 and 16 is 8.  So, 8 = GCF

factor out an 8 and you get 8(a + 2c)

To check if you are correct, multiply and see if you get what you started with.

Answer

Step-by-step explanation:   your answer would be -42  so heres how i did it: Evaluate for a=−5,c=−1

(8)(−5)+(2)(−1)

(8)(−5)+(2)(−1)

=−42

For each statement, write what would be assumed and what would be proven in a proof by contrapositive of the statement. Then write what would be assumed and what would be proven in a proof by contradiction of the statement.

a. If x and y are a pair of consecutive integers, then x and y have opposite parity.
b. For all integers n, if n² is odd, then n is also odd.

Answers

Answer:

a.)

Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.

Contra-positive statement - If x and y have same parity, then x and y can not be a pair of consecutive integers.

Assumed - x and y have same parity

To prove -  x and y can not be a pair of consecutive integers.

Contradiction statement - If x and y are a pair of consecutive integers and they have same parity then then it is not possible.

Assumed - x and y are a pair of consecutive integers and they have same parity

To prove - It is not possible

Proof - Let x and y are even numbers

⇒x = 2a , y = 2b

then , y - x = 2b - 2a = 2(b - a) is alteast 0 if x ≠y

Contradiction.

b.)

Statement - For all integers n, if n² is odd, then n is also odd.

Contrapositive statement - If n is even , then n² is even

assumed - n is even

To prove - n² is even

Contradiction - If n² is odd and n is even then it is not possible

Assumed - n² is odd and n is even

To prove - Our assumption is not true

Proof - As n is even

⇒n = 2a

⇒n² = (2a)² = 4a²

⇒n² is even

Contradiction.

Negative nine is greater than or equal to the sum of two - fifths times a number and 9.

Answers

Answer:

W is either -22.5, or less than -22.5

Step-by-step explanation:

-9>=2/5 times w (I wasn't sure what you meant by "and" 9. Like 9w?)

W has to be a negative number, or else it would be greater than 9, which would make the equation wrong.

2/5 times -22 1/2=-9. So w can be -22 1/2 or -22.5

W can then be anything "lower" (on the left side) of -22.5.

W<-22.5

find the area of the trapezium whose parallel sides 24 cm and 20 cm and the distance between them is 15 cm.​

Answers

Answer:

330

Step-by-step explanation:

A=a + b / 2 x h

a = 24, b = 20, h = 15

24 + 20 divided by 2 times 15

44 divided by 2 time 15

22 times 15 = 330

51 –
6.8 + 4.3/4
-0.8​

Answers

Answer:

11.325

Step-by-step explanation:

Ce clasă ești sa văd daca te pot ajuta

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