A study shows that 78% of adults need eye correction. If 12 adults are randomly selected, find the probability that atleast 11 of them need correction for their eyesight

Answers

Answer 1

Answer: 0.2224

Step-by-step explanation:

Given: The proportion of adults need eye correction: p= 78%=0.78

Let X  be a binomial variable that represents the number of adults who need eye correction.

Sample size of adults: n= 12

Binomial ditsribution formula:

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

Now, the probability that at least 11 of them need correction for their eyesight will be

[tex]P(X\geq11)=P(X=11)+P(X=12)\\\\=^{12}C_{11}(0.78)^{11}(1-0.78)^{1}+^{12}C_{12}(0.78)^{12}(1-0.78)^{0}\\\\=(12)(0.78)^{11}(0.22)+(1)(0.78)^{12}(1)\\\\\approx0.1716503+0.05071486=0.22236516\approx0.2224[/tex]

Hence, the required probability = 0.2224


Related Questions

What is an equation in slope-intercept form of the line that passes through (6, -7) and is perpendicular to the line shown below?

Answers

Answer:

A

Step-by-step explanation:

it is y=-1/2x-4 for sure.

If the shirts $42 and it's on sale for $15 how much is a shirt now

Answers

Answer:

I think its 27

Step-by-step explanation:

If the vurrent cost is 15 then it took 27 dollars off the original amount

May someone tell me what the value of x is ?

Answers

Answer:

maybe 11? because it says to Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Step-by-step explanation:

Given that the following statement is true
"If a shape is a polygon, then it is a closed figure."
Which of the following statements must also be true?
A. If a shape is a closed figure, then it is a polygon.
B. If a shape is not a polygon, then it is not a closed figure
C. If a shape is not a closed figure, then it is not a polygon
D. If the shape is not a polygon, then it is a closed figure.

Answers

Answer:

C IS THE ANS COS ALL POLYGONS ARE CLOSED AND IF IT NOT CLOSED IT NOT A POLYGON

So how are 1/2 and 4/8 Similar?

Answers

Answer:They both equal 1 half

Step-by-step explanation:To put it a lil more simply, 1/2 = 0.5 and 4/8 also = 0.5

Answer:

1/2 is 4/8. 1/2 is just 4/8 but simplified. So 12/36 simplified is 1/3, 24/48 is 1/2

can someone help me?

Answers

Answer:

I hope this helps!

Step-by-step explanation:

1. M is .25

b is 20

so

y= .25x+20

2. y= 3x+2

I need help to solve the equation

Answers

Answer:

D) X=-6

Step-by-step explanation:

Need answer ASAP

A book weighing 1.0 newton is lifted 2 meters. How much work was done?


(Calculating work and power)

Formulas: Work= force × distance

Power= work/time or power= (force × distance)/time

Answers

2 if right brainliest? Have a nice day

Can anybody tel me what K equals plz I got to go to bed

Answers

Answer:

K is equal to 4

Step-by-step explanation:

. hope it helped

A relation is
i don't know this answer somebody please help

Answers

it is a factory that links two thing together

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set.

Here is a set of signed numbers: 7, -3, 1/2, -0.8, 0.8, -1/10, -2
Order the numbers from least to greatest.

Answers

Answer:

-3, -2, -0.8, -1/10, 1/2, 0.8, 7

The order of the set of sign numbers from least to greatest is,

- 3, - 2, - 0.8, - 0.1, 0.5, 0.8, and 7.

What are signed numbers?

A number that is followed by the plus sign (+) to denote a positive value or the minus sign (-) to denote a negative value.

A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.

Given, A set of signed numbers - 1/10, - 0.8, 0.8, - 2, 7, 1/2, and - 3.

let us convert them into decimals, - 0.1, - 0.8, 0.8, - 2, 7, 0.5, and - 3.

The order from least to greatest is,

- 3, - 2, - 0.8, - 0.1, 0.5, 0.8, and 7.

learn more about the number system here :

https://brainly.com/question/29136622

#SPJ2

Determine whether each point could represent an x-intercept, y-intercept, both, or neither.
A. (0,5)
B. (0,0)
C.(-7,0)
D. (3,-4)
E. (19,0)

Answers

The answer might be A.

Answer:

A. y-intercept

B. Both

C. x-intercept

D.Neither

E. x-intercept.

Step-by-step explanation:

A y-intercept is recognized when there is a 0 at the x coordinate. A x-intercept is recognized when there is a 0 at the y-coordinate. The origin  (0,0) is considered the x and y-intercept. In a neither situation, the coordinates will have another number besides zero.

i need help pls asap

Answers

Answer:

Y=114 X=54

Step-by-step explanation:

Y and 114 are the same and the Top line is 180 degrees because it is straight so you can add 114 + 12= 126 which leaves 54 for X

a company ships new basketballs in boxes that fix up to 14 basketballs. How many boxes are needed for an order of 202 basketballs?​

Answers

Answer:

about 14 or 15 boxes

Step-by-step explanation:

Answer: at least 15 boxes to fit them all

Step-by-step explanation:

subtract (5z^6-3v)-(-3z^6)

Answers

Answer:

[tex]8z^6-3v[/tex]

Step-by-step explanation:

Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!

Answers

Answer:

add 2 zeros at the end of all of them

Step-by-step explanation:

For what values of x is the trigonometric equation tan(x − 180°) − sin(x − 180°) = 0, where 0 ≤ x < 360°, true?

{0°, 90°}
{0°, 180°}
{90°, 180°}
{90°, 270°}

Answers

Answer:

It's the second option {0°, 180°}

Explanation:

Given a trigonometric equation in degrees where tan(x − 180°) − sin(x − 180°) = 0 .

Since this is multiple choice, you can use the process of elimination to get rid of the incorrect answers.

You can think of sin as the y or vertical component of a rotation, cos as the x or horizontal component of a rotation, and tangent as we know to be sin/cos. Remember, this rotation is oriented in the counterclockwise direction so it is going leftward starting at (1,0). We also know that 360° is a full rotation so the rotation rule for each interval of 90 degrees counter clockwise is 0° or 360° (x,y) → 90° (-y,x) → 180° (-x,-y) → 270° (y,-x).

So if sin(90°) is 1, cos must be 0 as (1,0) → (0,1) , which means tan is N/A (undefined) since 1/0 = N/A. And undefined + 1 ≠ 0 so anything with 90° is incorrect. That leaves us with the second option {0°, 180°} because it is the only one that excludes 90°.

The answer is B. {0°, 180°}

of
be
A librarian has 43 books to distribute to a group of
children. If he gives each child 2 books, he will have
7 books left over. How many children are in the
group?
A) 15
B) 18
25
D) 29

Answers

The answer is 25 I think sorry if it’s wrong :)

Answer: 18

Step-by-step explanation:

There were 10 students in a teacher's classroom. The next week, there were 17 students. What is the percent increase
of the number of students?

Answers

The answer is 58 students

What are the x-and y-intercepts of -3x + 5y = 15?
A. 17, 10
B. -3, -5
C. -5,3
D. 15, 15
Help me pleasee

Answers

the answer is C. -5,3
explanation:
to find the x-intercept substitute 0 for y and solve for x. to find the y-intercept substitute 0 for x and solve for y, which leads you to answer C
x-intercept: (-5,0)
y-intercept: (0,3)

Answer: y= -5/3 x -1

Step-by-step explanation:

Evaluate the following expression. 1 + tan^2(pi/6)
A. 2
B. 4
C. 11/3
An explanation of the answer will be awarded extra points

Answers

Answer:

B

Step-by-step explanation:

I Can't explain it,I'm sorry

How many times does 2/3 go into 7 1/3

Answers

Answer:

11

Step-by-step explanation:

7 1/3 ÷ 2/3 = 11

(please give brainliest)

Answer: 1/11

Explanation:

KCF

(keep, change, flip)

Which equation represents the line that passes through (2, -1) and is
perpendicular to the graph of y=-2x +1. (Please show all your work)

Answers

Answer:

y=(1/2)x-2

Step-by-step explanation:

Remember y=mx+b equation.

If is perpendicular to y=-2x+1 that has the slope -2, then the slope is negative reciprocal so is 1/2

Use the (x-x1)m= (y-y1) equation and the given point (2, -1),

so (x-2)1/2=(y+1); x-2=2y+2; 2y=x-2-2; 2y=x-4; y=(1/2)x-2

Why would you need inequalities?
plz, help me write a paragraph answering this question ^^^
I really really need help
I will mark brainiest or whatever just plz plz plz help me
has to be at least 3 sentances

Answers

Answer:

An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.

Step-by-step explanation:

Tina's Jack Russell weighed 19.5 pounds. This week, her dog weighed 21.8 pounds. Find the percent of change in the weight of her dog?

Answers

Answer:

90%

Step-by-step explanation:

19.5 divided by 21.8 = 0.89449541 = 0.89% or 0.9%

A sinking fund is established to discharge a debt of $20,000 in 15 years. If deposits are made at the end of each 6-month period and interest is paid at the rate of 5%, compounded semiannually, what is the amount of each deposit? (Round your answer to the nearest cent.)

Answers

Answer:

the amount of each deposit is $45,555

Step-by-step explanation:

The computation of the each deposit is shown below:

Given that

Future value be $20,000

Time period = 15 × 2 = 30

And, the rate = 5% ÷ 2 = 2.5%

Now the formula is as follows

= (Future value × rate of interest) ÷ (1 + rate of interest)^time period - 1

= ($20,000 × 2.5) ÷ (1 + 0.025)^30 - 1

= $50,000 ÷ 1.0975675791

= $45,555

Hence, the amount of each deposit is $45,555

27. Use Structure Use the table at the right. Yolanda is planning a party that will take place in three rooms. a. Write an expression that can be used to represent the total amount Yolanda will need to rent all three rooms and the sound system for t hours. b. How can you use a property to write a simplified equivalent expression?

Answers

Answer:

25t+95 or 5(5t + 19)

Step-by-step explanation:

The total of the sound fee = $25

The total of the rental fee = $95

Write is as an equation and you can get 25t + 95 or 5(5t + 19)

Saba and Hena saved up Rs. 81.75 and Rs 45.25 respectively to buy a gift for
Mother’s Day. How much money in all have the sisters set aside for the gift?

Answers

137 rupees altogether have been saved by both sisters

Which equation can be used to find 40 percent of 25?
1. StartFraction 25 divided by 1 Over 40 divided by 1 EndFraction = StartFraction 25 Over 40 EndFraction
2. StartFraction 100 times 4 Over 40 times 4 EndFraction = StartFraction 400 Over 16 EndFraction
3. StartFraction 40 times 4 Over 25 times 4 EndFraction = StartFraction 160 Over 100 EndFraction
4. StartFraction 40 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 10 Over 25 EndFraction

Answers

Answer:

Im not sure but dont pick d

Step-by-step explanation:

Whoever says d r wrong

Answer: its D

Step-by-step explanation: it d

David's mom is looking through the ads at Safeway and Lucky for her grocery shopping. At Safeway, apples cost $8 for 5 pounds, and at Lucky's apples cost $7 for 4 pounds.

Answers

Answer:

Step-by-step explanation:

8/5= 1.60

Safeway´s apples cost $1.60 per pound

7/4=1.75

Lucky´s apples cost $1.75 per pound

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