Suppose 60% of a large group of animals is infected with a particular disease. What is the probability that at least 2 animals are infected in a sample of size 5?
0.0870
0.3174
0.913
0.6826​

Answers

Answer 1

Answer:

0.6826

Step-by-step explanation:

Answer 2

Probabilities are used to determine the chances of events.

The probability that at least 2 animals are infected is (c) 0.913

The proportion of the animal infected is given as:

[tex]p =60\%[/tex]

The probability is then calculated using the following binomial equation

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

In this case,

[tex]n = 2[/tex]

To calculate the probability that at least 2 animals are infected, we start by calculating the probability that not up to 2 animals are infected.

So, we have:

[tex]P(x<2) =P(0) + P(1)[/tex]

This gives

[tex]P(x<2) = ^5C_0 \times (60\%)^0 \times (1-60\%)^{5-0}+ ^5C_1 \times (60\%)^1 \times (1-60\%)^{5-1}[/tex]

Simplify

[tex]P(x<2) = 1 \times (60\%)^0 \times (40\%)^{5}+ 5 \times (60\%) \times (40\%)^{4}[/tex]

[tex]P(x<2) = 0.08704[/tex]

Using the complement rule, we have:

[tex]P(x \ge 2) = 1 - P(x<2)[/tex]

So, we have:

[tex]P(x \ge 2) = 1 - 0.08704[/tex]

[tex]P(x \ge 2) = 0.91296[/tex]

Approximate

[tex]P(x \ge 2) = 0.913[/tex]

Hence, the probability is (c) 0.913

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Related Questions

Been stuck on this all day!! Helppp

Answers

Answer:

Step-by-step explanation:

You have to use the arithmetic sequence

f(n)=f(n-1)+d

You can plug in (40,10) and (50,20)

(10)=f(1)+39d

(20)=f(1)+19d

subtract

-10=20d divide

d=-1/2

plug into one of the equations above

(10)=f(1)+39(-1/2)

10=f(1)-39/2

59/2=f(1)

f(1)=29.5

plug into formula

f(n)=29.5-1/2(n-1)

f(n)= -1/2n +30 final equation (Plug in the table values into "n") to solve

Answer:

if it was like that wouldnt it go from 10 to 20 to 30 to 40 ect.

Step-by-step explanation:

What is the volume of the cube of 3.1 m?

Answers

Answer:

21.79 idrk good luck sbnsjsnsjsnsjznsnz xnddn

Answer:

V = A3 i believe im not at explaining stuff ;^;

find the missing measurements in the shape ​

Answers

3, 2
From left to right

Answer:

the area is 30 m2

Step-by-step explanation:

can two fractions with the same numerator and different denominators be equal ​

Answers

Answer:

No, it cannot be equal

Step-by-step explanation:

For example: 1/2 and 1/4

1/2 represent in 2 pieces you are getting one piece.

1/4 represent in 4 pieces you get one piece

Can someone help me plz

Answers

Answer: ITS 100% D.)12

Step-by-step explanation:

2x * 12 = 24 = 36

3x * 13 = 36

therefore, x= 12

hope this was helpful :D

brainliest plz?

Please explain how you find the slope of a graph?

Answers

Answer

m=rise/run

Step-by-step explanation:

To find the slope of a graph, you have to figure out home it is rising and how much it is running. Make sure you know which way is negative and positive. Then you divide rise by run.

Answer:

change in y / change in x

or you could differentiate the function of the graph to find the slope

Step-by-step explanation:

Determine a series of transformations that would map Figure L onto Figure M.
TO
Figure L
Figure M

Answers

Answer:

rotation of 90° counterclockwise, then translation 3 down

The given figure has a rotation of 90° counterclockwise, then translation 3 down.

What is translation?

A translation moves a shape left, right, up, or down without turning it. The translated (or picture) shapes appear to be the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.

The two figures given in the image are plotted on the coordinate plane having axis x and y.

From the figure it is observed that the given figure has a rotation of 90° counterclockwise, then translation 3 down.

Therefore, the given figure has a rotation of 90° counterclockwise, then translation 3 down.

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Kyle bought some boxes of donuts. There were 4 donuts in each box, and Kyle bought 76 donuts in all. Write an equation, that when solved, will tell how many boxes, b, of donuts Kyle bought?

Answers

Answer:

b=76/4

Step-by-step explanation:

Since there are 4 donuts in each box, and 76 boxes total, then you know that you need to divide the number of donuts by the amount of donuts in each box. b= 19 if u needed that. Cheers

Answer:

The answer is 19 boxes

Step-by-step explanation:

Since there were 4 donuts in each box all you have to do is divide 76 by 4 since there is 76 donuts in all 76 ÷ 4 = 19 boxes (79 equally distributed into 19 boxes)

Help please will mark brainliest!!!

Answers

Answer:

945

Step-by-step explanation:

Which of these shows the complete factorization of 6x^2y^2-9xy-42

Answers

Answer:

3 • (2xy - 7) • (xy + 2)

Step-by-step explanation:

(((2•3x2) • y2) -  9xy) -  42

6x2y2 - 9xy - 42  =   3 • (2x2y2 - 3xy - 14)

The complete factorization of 6x^2y^2-9xy-42 is 3 (2x^2y^2 - 3xy - 14).

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The given expression is

[tex]6x^2y^2-9xy-42[/tex]

= [tex](((2\times3x^ 2) \times y^2) - 9xy) - 42[/tex]

The factorized form will be

=  [tex]3 (2x^2y^2 - 3xy - 14)[/tex]

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] 1) Convert the number 2,371,875,908 to scientific notation.

Answers

Answer:

2.3718759×10^9

Step-by-step explanation:

Its the answer

Answer:

2.371875908 × 109 is ur answer.

Step-by-step explanation:

hope this helps!

~mina

Aunt Rebecca is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Winchester Bakery charges $4 for each cupcake, plus $30 for the large cake. Linda's Sweet Shoppe charges $40 for the large cake and $2 for each cupcake. If Aunt Rebecca orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be?

Answers

Answer:

Yes

Step-by-step explanation

13/12=1 1/12

Is anyone good at math on the top of their head pls comment below ASAP!!!

Answers

Answer:

please do you need help there are more expect around

Step-by-step explanation:

drop the question let help you

Answer:

yea me kinda the only thing i help on brainly is math

Step-by-step explanation:

tell weather the ordered pair is a solution of the equation y=7x;(2,21)

Answers

Answer:

3,21 is

2,21 is not a proper ordered pair.

Step-by-step explanation:

Remark

It's not a solution

You can either use the x value to find out the proper y value

or

You can use the y value to find out the proper x value

Proper y value

Let x = 2

y = 7*2

y = 14

So the proper y value given that x = 2 is 14.

Proper x value

Let y = 21

21 = 7x                    Divide both sides by 7

21/7 = 7x/7

3 = x

But (2,21) is not a solution. (3,21) is.

There are 20 pieces of fruit in a bowl and 5 of them are apples. What percent of the fruit are apples?

Answers

Answer:  25%

Step-by-step explanation:

Total pieces=20

apple pieces=5

 =apple pieces/total pieces

=  5/20

for %age multipilying with 100

= 0.25×100

=25 percent

I will increase your salary from $12,000 to $15,000. What is the percentage increase

Answers

Answer:

i think 20%

Step-by-step explanation:

The percent increase of the salary is 25%.

We have,

the salary increases from $12,000 to $15,000

So, Change in Amount= (15,000 - 12,000)

= 3, 000

Now, Percent increase = change in amount/ original amount x 100

= 3000/ 12000 x 100

= 1/4 x 100

= 100/4

= 25%

Thus, the percent increase is 25%.

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Amanda spent half of her weekly allowance to play arcade games. To earn more money her parents let her mow the lawn for $8. What is her weekly allowance if she ended with $12

Answers

Answer:

two dollars

Step-by-step explanation:

12-8=4/2=2

Function f(x) has a jump discontinuity at x = 8. Which statement identifies possible one-sided limits at x = 8?
lim flx) DNE and lim f(x) DNE
lim f(x) DNE and lim Flx) = 120
lim flx) = 85 and lim f(x) = 85
*-37
lim Flx) = 85 and lim flx) = 120
O

Answers

Answer:

D

Step-by-step explanation:

EDGE 2021

The limit of the given functions f(x)=85 and lim f(x)=120.

If any of the following conditions are met, a function is said to be discontinuous:

The function at x = a has left- and right-hand bounds, but they are not equal.The function at x = a has a left-hand limit and a right-hand limit that exist, are equal, but are not equal to f(a).

We have given that,

Function f(x) has a jump discontinuity at x = 8.

We have to determine a statement that identifies possible one-sided limits at x = 8.

Then, lim f(x)=85 and lim f(x)=120

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Im im baby need help give crayons for answer 1+1=????

Answers

Answer:1+1=2

Step-by-step explanation:

Yeah Bio

PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED

Answers

Answer: 13

Step-by-step explanation: Hope this help :D

PLEASE ANSWER ASAP: Two stores offer differently priced sales for the same paper towels, according to the table below. Which store offers the better deal, based on a lower unit price per roll?
PLEASE GIVE STEPS AND ANSWER AND NO FILE LINK!

Answers

Answer:

Store 1.

Step-by-step explanation:

Divide the price by the amount of roles of toilet paper. Ex 3.60÷12=.3 and 3.50÷10=.35. Now choose the lower option

Evaluate the expression 2y + 10 + y2 of y=8

Answers

The evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.

How to evaluate a given mathematical expression with variables if values of the variables are known?

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

The considered expression is 2y + 10 + y²

We need to evaluate it at y = 8

Putting 8 in place of y in the expression, we get:

[tex]2y + 10 + y^2|_{y=8} = 2 \times 8 + 10 + (8)^2 = 16 + 10 + 64 = 90[/tex]

Note that small subscript of y = 8 shows that we're evaluating the expression for y = 8.

Also, when symbols are used with multiplication, we usually hide the multiplication sign and just keep the multiplying quantities close to each other, this is why [tex]2 \times y[/tex] was written 2y in the expression.

Thus, the evaluation of the expression 2y + 10 + y² at y = 8 returns 90 as its value.

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what is the rule for (f - g) (x)?

Answers

Answer:

where is the question check well please

how do i transform this equation 5(3x+9)-2x=15x-2(x-5)

Answers

You have to multiply to get a simple equation so it would be 15x+45=15x-2x+10 and that’s where my knowledge stops with that

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Let's solve your equation step-by-step.

5 ( 3x + 9 ) − 2x = 15x − 2 ( x − 5 )

Step 1: Simplify both sides of the equation.

5 ( 3x + 9 ) − 2x = 15x − 2 ( x − 5 )

( 5 ) ( 3x ) + ( 5 ) ( 9 ) + −2x = 15x + ( −2 ) ( x ) + ( −2 ) ( −5 ) ( Distribute )

15x + 45 + −2x = 15x + −2x + 10

( 15x + −2x ) + ( 45 ) = ( 15x + −2x ) + ( 10 ) ( Combine Like Terms )

13x + 45 = 13x + 10

13x + 45 = 13x + 10

Step 2: Subtract 13x from both sides.

13x + 45 − 1 3x = 13x + 10 − 13x

45 = 10

Step 3: Subtract 45 from both sides.

45 − 45 = 10 − 45

0 = −35

Answer:

There are no solutions.

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

A bird is at the top of a tree 8 meters tall. You are on the ground, 10 meters away from the bird. How far are you
from the base of the tree?

Answers

Answer: 6 meters

Step-by-step explanation:

I had this question and got the answer right.

The distance from the base of the tree will be 6 meters.

What is a Pythagorean theorem?

The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.

Given that a bird is perched eight meters up in a tree. The bird is 10 meters away from you where you are standing.

From the Pythagorean theorem, the base will be calculated as:-

H² = P² + B²

B = √ ( H² - P² )

B = √ ( 10² - 8² )

B = √36

B = 6 meters

Hence, the 6 meters will separate you from the tree's base.

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Find the area of the triangle below.

Answers

Answer:

the area of this triangle is 5

Answer:

A = 5

Step-by-step explanation:

Solve

The area A of a triangle is given by the Formula; A = 1/2bh where b is the base and h is the height of the triangle.

Solution

A= hbb /2 =2·5/  2=5

All other things being equal, by how much will nominal GDP expand if the central bank increases the money supply by $100 billion, and the velocity of money is 3?

Answers

If the central bank increases the money supply by $100 billion and the velocity of money by 3, then the nominal GDP will increase by $300 billion.

Mark brainlist plz

The value of nominal GDP, when the central bank increases the money supply by $100 billion, and the velocity of money is 3, is 300.

What is the equation of exchange?

The equation of exchange can be given as,

[tex]M\times V=P\times Q[/tex]

Here, (M) is the money supplied, (V) is the velocity of the money, (P) is level of price and (Q) is Real GDP.

The central bank increases the money supply by $100 billion, and the velocity of money is 3. Here, we have,

[tex]M=300\\V=3[/tex]

The product of level of price and Real GDP is nominal GDP.

[tex]M\times V=P\times Q\\100\times 3=\text{Nominal GDP}\\\text{Nominal GDP}=300[/tex]

Thus, the value of nominal GDP, when the central bank increases the money supply by $100 billion, and the velocity of money is 3, is 300.

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lI need help please answer​

Answers

What all of them and if u need all of them give me a second

Answer:

Look Below

Step-by-step explanation:

1) 81 = 729/9

2) 36 / 3 = 12

3) 4X = 20 (X = 5)

4) 34 = 176 ???

5) 1470/35 = 42

6) 1 = 2/2

7) 7X = 245 (X = 35)

8) 600X = 2400 (X = 4)

9) 936 = 78X (X = 12)

If you find any fault in my answers please let me know! About 4 I am not able to answer that because I don't see what the problem is asking. Sorry. I hope this helps! Have a good day!

Simplify please
(n^11)^2

Answers

Answer:

n^22 (I love your profile picture by the way)

Step-by-step explanation:

Answer:

n^22

Step-by-nstep explanation:

because you would multiply the exponents so 11 x 2 is n^22

FIND THE LATERAL SURFACE AREA OF THE RECTANGULAR PRISM IN CENTIMETERS?

Answers

Answer:

A

Step-by-step explanation:

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