Probability.

It has been estimated that about 30% of frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens.

Answers

Answer 1

Answer: 0.0386

Step-by-step explanation:

Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30

Sample size : n = 12

Let x = Number of contaminated chickens

Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.

Binomial probability formula:

[tex]P(X=x) = \ ^nC_x p^x(1-p)^{n-x}[/tex]

The probability that the consumer will have more than 6 contaminated chickens :-

[tex]P(X>6)=P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\\\=^{12}C_6(0.3)^6(0.7)^6+^{12}C_7(0.3)^7(0.7)^5+^{12}C_8(0.3)^8(0.7)^4+^{12}C_9(0.3)^9(0.7)^3+^{12}C_{10}(0.3)^{10}(0.7)^2+^{12}C_{11}(0.3)^{11}(0.7)^1+^{12}C_0(0.3)^{12}(0.7)^0[/tex]

[tex]=0.03860084306\approx0.0386[/tex]  (simplified)

Hence, the required probability = 0.0386


Related Questions

please help with this.

Answers

9514 1404 393

Answer:

  d.  The triangles are not similar

Step-by-step explanation:

The angle between the given sides is the same, so we need to compare the side ratios. In ΔQRS, we have ...

  QR/RS = 4/15

In ΔVTU, we have ...

  VT/TU = 8/32 = 1/4 ≠ 4/15

The triangles are not similar because corresponding sides are not proportional.

The circle with O has a circumference of 8pi inches. The central angle is 60 degrees. what is the length of the minor arc BSA

Answers

4.19 inches

use the formula: central angle/360°=arc length/8 pi

60/360 = 0.1667
0.1667 = length of minor arc /8 pi
multiply 8pi x 0.1667 to find length of arc
the minor arc is about 4.19inches

It costs $60 to reserve a movie theater for a party. There is also a charge of $3 for each person. Which expression represents the total cost to reserve a movie theater for n persons?

Answers

the answer would be 3n+60

Element X is a radioactive isotope such that every 51 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 7500 grams, how long would it be until the mass of the sample reached 6900 grams, to the nearest tenth of a year?

Answers

Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant  

a - x = amount left after decay process  

a) for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

[tex]51=\frac{0.69}{k}[/tex]

[tex]k=\frac{0.69}{51}=0.0135years^{-1}[/tex]

b) for  7500 g to reach to 6900 g

[tex]t=\frac{2.303}{0.0135}\log\frac{7500}{6900}[/tex]

[tex]t=6years[/tex]

It will take 6 years for 7500 grams of X to reach 6900 grams.

Someone pls help me with both :(

Answers

Answer:

5) A

6) D

Step-by-step explanation:

for 5) I did just looked up online

2.5% of 25,000

and I added it to 25,000

which was 26,265.625

so I looked up 2.5% of 26,265.625 and I kept doing it until the 5th year and I got estimated $28,285.21

for 6) I did similar to 5) but I used the numbers that were given

I looked up 4% of 1,250 and I did that twice and got $1,352.55

hope that helped ;)

Convert the following repeating decimal to a fraction in simplest form.
.53

Answers

The answer is 8/15. You can break the decimal into two fractions:
0.53 = 1/2 + 1/30. Then combine by making both terms have a denominator of 30, so you get 16/30. The divide numerator and denominator each by 2 to get to 8/15

Explain why i^3 is equal to i^47? Why

Answers

Answer:

i is probably 1.

Step-by-step explanation:

1^3 is equal to 1

1^47 is equal to 1

3. Create three quadratic equations that has one real solution.​

Answers

Three quadratic equations that have one real solution are show below:

5x^2+3x^3+3^4 = 55

5x^2+3x^3+3^7 = 55

5x^2+3x^3+3^8 = 55

What are four ways to represent functions?

Answers

A function can be represented verbally. For example, the circumference of a square is four times one of its sides.
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.

A function shows the relationship between at least two variables. There are several ways to represent a function; some of them are:

Using tablesUsing equationsUsing graphsBy verbal expressions

Tables

The following table shows the relationship between two variables x and y

[tex]\left[\begin{array}{cccccc}x&1&2&3&4&5\\y&2&4&6&8&10\end{array}\right][/tex]

Equations

Notice that the y values of the above table are twice the corresponding x-values.

So, the equation can be represented as:

[tex]y = 2x[/tex]

Graphs

See attachment for the graph of [tex]y = 2x[/tex]

Verbal

As stated above, the value of y is twice the value of x.

The above statement is a verbal representation of a function

Hence, a function can be represented with a table, graph, equation and verbally.

Read more about functions at:

https://brainly.com/question/6241820

The sum of the interior angles of a triangle is equal to

Answers

Answer:

180°

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°

given the function f(x)=x^2+5,evaluate f(-10)

Answers

Answer:105

Step-by-step explanation:

help me and ill give brainly

Answers

It would be

Hope this helps

Answer:

(-inf, 5)

Step-by-step explanation:

just the previous answer, in anothe r form

Hector is finding the volume of a cone and the volume of a cylinder. Both the cone and the cylinder have a radius of 3 inches and a height of 5 inches. What is the volume, in cubic inches, of the cone?

Answers

Answer:

the volume of the cone is

15in^3

Step-by-step explanation:

Step one:

parameters of the cone

radius r = 3 in

height h= 5 in

Step two:

the expression for the volume of the cone is

V= 1/3πr^2h

substitute

[tex]V= 1/3*3.142*3^2*5\\\\V=1/3*45\\\\V=15 in^3[/tex]

Find the value of x in the image

Answers

Answer:

50

Step-by-step explanation:

a pentagon has a total of 540 degrees

105, 115, 110, 180-2x, 180-3x are the interior angles (subtract each from 180 because they're on lines)

540= 105+115+110+(180-2x)+(180-3x)

540=330 +(180-2x)+(180-3x)

210=360-5x

-150=-5x

50=x

anyone knows the answer ?

Answers

Answer:

yes

Step-by-step explanation:

PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?

Answers

Answer:

the original volume is 4.0L

Step-by-step explanation:

Step one:

given data

V1= ?

T1=  52 °C

V2= 6.1L

T2=  79° C

Step two

applying the volume temperature relationship, which is

V1/T1= V2/T2

substituting we have

V1/52= 6.1/79

cross multiply we have

52*6.1= V1*79

317.2= 79V1

divide both sides by 79

V1= 317.2/79

V1=4.0L

What is the perimeter of a rectangle that
is 5 inches by 3 inches?

Answers

Answer:16

Step-by-step explanation:

It’s 16 because a rectangle has 4 sides and 2 of them are 5 and another 2 sides are 3 so 5 + 5 + 3 + 3 = 16

Solve for the length of the hypotenuse

Answers

Answer:

5000

Step-by-step explanation:

In a right triangle ,

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] = > c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

where -

c = hypotenusea & b = the other two sides of the triangle

According to the question , let the hypotenuse of the triangle be 'c' . So ,

[tex]c = \sqrt{ {3000}^{2} + {4000}^{2} } [/tex]

[tex] = > c = \sqrt{9000000 + 16000000} [/tex]

[tex] = > c = \sqrt{25000000} = 5000[/tex]

Hence , c = 5000

Answer:

5000

Step-by-step explanation:

[tex]3000^{2}[/tex] + [tex]4000^{2}[/tex] = 25000000

[tex]\sqrt{25000000}[/tex] = 5000

Can yiu ANSWER ALL OF THEESE QUESTIONS :
1.Its cost $10.00 for 20 oranges. Is $2.00 per orange accurate?

2.Find the unit rate for 5 cans of chicken soup that cost a total of $2.00.​

Answers

Answer:

yes number one yes the second one 2/5

Step-by-step explanation:

Answer: ok little Timmy

Step-by-step explanation:

1 = yes

2 = 10

Examine the following diagram:

Line c intersects lines a and b. Line d intersects lines a and b.

In the diagram, line c is a transversal of lines a and
.

Answers

Answer:

b

Step-by-step explanation:

i just took it on edge

Line c is a transversal of lines a and b. The blank space filled by b

According to the question blank statement is to be filled.
Line c intersects lines a and b. Line d intersects lines a and b
In the diagram, line c is a transversal of lines a and _____

What is a line?

A line is the shortest distance between two points or a straight curve with zero deflection in it.

Here,
If c intersects line a and line b, then line c is the transversal line for both a and b.

Thus, line c is a transversal of lines a and b.

Learn more about the line here:
https://brainly.com/question/2696693

#SPJ2


answer the pic below

Answers

Answer:

second answer - think im right

Step-by-step explanation:

Answer:

B

The second answer

Step-by-step explanation:

please mark me as brainliest

can you help me with this question
Increase 40 by 50%

Answers

Answer:

60

Step-by-step explanation:

first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer

Answer:

60!

Step-by-step explanation:

100% is 40

to increase that by 50, do 1.5 times 40

the answer to that is 60

What is the value of x? (-8x = 24) - 6x +18 - 122

Enter your answer in the box X= ​

Answers

Answer:

the value of x in x? (-8x = 24) - 6x +18 - 122 is x=40

Hope you do good :)

The table shows total number of cars rented everyday for a
week from Golden State Rentals, What is the estimated
average increase in car rentals per day for Tuesday through
Friday?
Golden State Car Rentals
M Tu
W
Th
F
Sa
Su
Day
Total cars
41
109 158 199 262 313 352

Answers

Answer:

182

Step-by-step explanation:

starting from TU witch is 109 you keep adding so you get the eqation

109+158+199+262=728

then it's 728 divied by (/) 4 becase that is how many you added and you get 182 cars

Select the equation that represents the graph above.


y=x√−2y is equal to square root of x minus 2 , ,


y=x√+2y is equal to square root of x plus 2 , ,


y=x+2y is equal to x plus 2 , ,


y=x+2−−−−−√

Answers

Answer:

                                                          _

just did the test and got it right its /x + 2

Step-by-step explanation:

just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option

Solve for x in the following equation
2^(8x-8)=4^7x

Answers

Answer:

-4/3

Step-by-step explanation:

2^(8x-8)=4^7x

2^8x-8=4^7x

2^8x-8=4^2×7x

8x-8=2×7x

8x-8=14x

-8=14x-8x

-8=6x

-8/6=x

-4/3=x

x=-4/3


4 km
3 km
What is the length of the hypotenuse?

Answers

Answer:

5

Step-by-step explanation:

a^2 +b^2 = c^2

4^2 +3^2 =c^2

16 + 9 =c^2

25= c^2

5=c

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE


SHOW YOUR WORK

Answers

Answer: 38

Step-by-step explanation:

3.8=19/5

u have to flip the reciprocal to divide by fraction so 1/10 will be just 10

Then u get 19/5 x 10

You can reduce the GCF so it would be 19 x 2

19 x 2 = 38

Or you can plug it into your calculator (3.8 x .1)

round to the nearest tenth

Answers

9514 1404 393

Answer:

  21.4  

Step-by-step explanation:

For this problem, you only need to know that the hypotenuse (x) is the longest side of the triangle. The only answer choice longer than 20 is ...

  x = 21.4

__

If you want to actually go through the numbers, you know that ...

  Cos = Adjacent/Hypotenuse

  cos(21°) = 20/x

  x = 20/cos(21°)

  x ≈ 21.4

Translate the sentence Into an equation.

Twice the difference of a number and 9 equals 7.

Use the variable b for the unknown number.

Answers

Answer: b - 9 = 7.

Step-by-step explanation:

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