A survey showed that 70% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 7 adults are randomly selected, find the probability that exactly 2 of them need correction for their eyesight.

Answers

Answer 1

Answer:

0.0250047

Step-by-step explanation:

Given that :

Proportion who need correction glasses = 70%

Number of trials = 7

Probability that exactly 2 needs correction glasses :

Using a binomial probability formula :

P(success) = p = proportion who need glasses = 0.7

P(x =x) = nCr * p^x * (1 - p)^(n - x)

P(x = 2) = 7C2 * 0.7^2 * 0.3^(7 - 2)

P(x = 2) = 7C2 * 0.7^2 * 0.3^5

P(x = 2) = 21 * 0.49 * 0.00243

P(x = 2) = 0.0250047


Related Questions

What is the product of(5)(3)

Answers

Answer:

15

Step-by-step explanation:

just cause

Simplify 3(12 - 8) + 5.
O A. 32
O B. 17
O C. 33
O D. 27

Answers

Answer:

b

Step-by-step explanation:

parentheses first 12-8=4

3x4=12

12+5=17

u do parentheses then exponents then division then multiplication then add then subtract

hope this helps!!!

17 because first do the parentheses then multiply the new number (4) by 3 and then add 5

Please help!
Write an equation of the line in slope-intercept form.

Answers

Answer:

y=4/2m-3 OR y=2m-3

Step-by-step explanation:

y=Mx+b

Slope = m = rise / run = 15/3 = 5

b is found by plugging a point in the equation (I tried both points)

Y=Mx + b
7=(5)(2) + b
b=-3

So your equation is

y=5x-3

does increase in sample size increases degrees of freedom for t-tests.

Answers

basically degrees of freedom are related to sample size (n-1). If the df increases, it also stands that the sample size is increasing; the graph of the t-distribution will have skinnier tails, pushing the critical value towards the mean.

how to find rations in triangles

Answers

it would probably be 3:3

Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.

Step-by-step explanation:

whats -4 times (-9)

please help

Answers

-4 x -9 would be 36

Being that both numbers are negative, they will cancel each other out, and become positive.

Need help! ASAP! With algebra

Answers

Answer:

2;4;3

Step-by-step explanation:

y=2x²+4x+3

HURRY PLEASE DON'T HAVE MUCH TIME TO FINISH!
Another plan to secure the roller coaster involves using a cable and strut. Using the center of the half-circle as the origin, the concrete strut can be modeled by the equation and the mathematical model for the cable is . The cable and the strut will intersect.


6. Graph the cable and the strut on the model of the roller coaster using the graphing calculator. Take a screenshot of your graph and paste the image below, or sketch a graph by hand. (5 points)







7. Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)

Answers

Answer:

Hello there this is number 6 the graph and number 7. I am also doing this assignment and I was wondering if you had a graph for number 8? If so I have a question posted on my account and I would greatly appreciate you adding the graph, but if not have a nice day

Step-by-step explanation:

7.

root 2x+8=x-8

2x+8=x^2-16x+64

-x^2+18x-56=0

x^2-18x+56=0

x(x-4)-14(x-4)=0

(X-4)(x-14)=0

x=4 ,x=14

x=14

Hope that this helps, Peace and love. And if you are feeling kind will you please mark me the brainliest?

the reciprocal of 3 - 1/5 is​

Answers

Answer:

[tex]\frac{5}{14}[/tex]

Step-by-step explanation:

First subtract the two terms by setting the first term as a fraction.

3 * [tex]\frac{5}{5}[/tex] = [tex]\frac{15}{5}[/tex]

Then subtract the terms.

[tex]\frac{15}{5}[/tex][tex]-\frac{1}{5}[/tex] = [tex]\frac{14}{5}[/tex]

Finally, flip the numerator and the denominator.

Best answer gets brainliest!!!
Choose 3 plz!

Answers

I believe that the answer B,D,and E

Answer:

A, D, and E (I think)

Step-by-step explanation:

I'm pretty sure those would be the right answers, sorry that this isn't much of an explanation lol

Find the equation of the purple line.

Answers

Answer:

Y-3/5x+2

Step-by-step explanation:

y=1/2x+2 because the slope is 1/2 and the y
intercept is 2

BACK AT IT AGAIN WITH 100 POINTSSSSS!!! FIRST ONE TO ANSWER GETSSSSSS BRAINLIEST!!!!!

Answers

Thank you!!!!!!!!!!!!!

Answer:

me breolllllll please

A movie theater has 287 crates of popcorn. Each crate holds 6 pounds of popcorn. There are 15 people who work at the theater. How many pounds of popcorn are there altogether?

Answers

Answer: 1,722 pounds

Work: 287x6=1,722

Solve 11 < 3x+8 < 20.

Answers

Answer:

1<x<4

Step-by-step explanation:

this helps me out a lot in my math class

Answer:

x=4 and thats your answer thanks for helping you but if using the z-score it's 0

Step-by-step explanation:

1<x<4

10 points for correct answer and giving brainliest

Answers

Answer: B

Step-by-step explanation:

Joseline has 347 marbles. Ever has 4 times as many as Joseline. Pablo has 799 fewer than Ever. How many marbles does Pablo have? Joseline tiene 347 canicas. Ever tiene 4 veces más que Joseline. Pablo tiene 799 menos que nunca. ¿Cuántas canicas tiene Pablo?​

Answers

Answer:

its D

Step-by-step explanation:

i will give brainliest to the right answer<3

Answers

Answer:

the whole

Step-by-step explanation:

How long does it take the kangaroo to travel 5 km

Answers

Answer:

Time taken by kangaroo to travel 5 km = 4.27 minutes.

Step-by-step explanation:

Speed of kangaroo is 44 mph.

Speed of kangaroo = 44 mph = 44 x 1.6 = 70.4 kmph = 19.5 m/s

We need to find how much time it takes to travel 5 km

Distance traveled = 5 km = 5000 m

We have

          Distance traveled =  Speed x Time taken

          5000 = 19.5 x Time taken

          Time taken = 256.41 seconds

           Time taken = 4.27 minutes.

Answer:7.5

Step-by-step explanation:

HELLP PLZ... Also MERRY EARLY CHRISTMAS ​

Answers

Answer:

Step-by-step explanation:

0 would represent the surface of the water

4 seguall

3

2

1 above water

0-surface of the water

-1 in the water

-2

-3

-4

Answer:

on the surface, because 0 represents sea level.

Step-by-step explanation:

Hope this helps and good luck :)

What is the value of x?
(6x – 1)º
(5x + 5)º
(4x + 8)º
(3x)º
(5x + 3)º
X =

Answers

Step-by-step explanation:

(1 point)

No, there isn't a more efficient way to solve this system.

Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.

PLEASE HELP I WILL GIVE 100 points

Using the drawing below to answer the questions that follow

Part A what is the scale factor used when going from the larger rectangle to smaller one?

Part B
What is the length of missing side?

PLEASE HELP

Answers

Answer: the scale factor is 1/2

And the missing side is 5.5

Step-by-step explanation:

The larger triangle is twice the smaller triangle

The scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.

What is a scale factor?

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

It is given that:

The two rectangles are shown in the picture:

Part A what is the scale factor used when going from the larger rectangle to the smaller one?

The scale factor = 8/16 = 1/2

The length of the missings side = 1/2(11) = 5.5

Thus, the scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.

Learn more about the scale factor here:

brainly.com/question/22312172

#SPJ2

If system of linear equations has no solution,then

Answers

Answer:A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Step-by-step explanation:

please help ALGRBRA II 10 points

Answers

Use Desmos, it’s a graphing app that will show you where the point intersects

Find the value for x.
5x - 12
3x + 30
48

Answers

is this the way the question is laid out? is there an equal sign anywhere

The value of x will be;

⇒ x = 3.75

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 5x - 12 + 3x + 30 = 48

Now,

Solve the expression for x as;

The expression is,

⇒ 5x - 12 + 3x + 30 = 48

⇒ 8x - 12 + 30 = 48

⇒ 8x + 18 = 48

Subtract 18 both side as,

⇒ 8x - 18 = 48 - 18

⇒ 8x = 30

Divide by 8 as;

⇒ x = 30/8

⇒ x = 3.75

Thus, The value of x will be;

⇒ x = 3.75

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

1998 hurricane Bonnie approached the United States at a speed of 8 miles per hour . The function y= 8x disproves how many miles y hurricane Bonnie traveled x hours . Use the graph to estimate how far the hurricane traveled in 2.5 hours

Answers

Answer:

y=20

Step-by-step explanation:

8x

8(2.5)

8×2=16

8×0.5=4

16+4=20

y=20 in this equation

What is the measure of ZA?
100"
A. 30
B. 50°
C. 70°
D. 130°

Answers

Answe is B: 50
It needs to equal 180 so
100+30=130
180-130=50

Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?

Answers

Answer:

He would make 300 dollars.

Step-by-step explanation:

15 x 5 = 75

75 x 4 = 300.

Answer:

answer is 300

Step-by-step explanation:

Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..

Hopes this help.

Find the dimensions of the rectangular box with maximum volume in the first octant with one vertex at the origin and the opposite vertex on the ellipsoid 4x^2+y^2+4z^2=4

a. The length of the box in the x-direction is:_______
b. The length of the box in the y-direction is:_______
c. The length of the box in the z-direction is:_______

Answers

Solution :

Let x, y, z be the dimensions of the rectangle.

Volume of the rectangle (V) = xyz

Given that the vertex should lie on ellipse [tex]$4x^2 + y^2+4z^2=4$[/tex] .......(i)

So here the volume xyz must be maximum with constraints above.

We solve this using Lagranches method with variable λ

Lagranches function is

[tex]$F : xyz + \lambda(4x^2+y^2+4z^2-4)=0$[/tex] .....(ii)

To find λ, [tex]$\frac{dF}{dx}=0; \frac{dF}{dy}=0;\frac{dF}{dz}=0$[/tex]

[tex]$\frac{dF}{dx}=0 \Rightarrow yz+\lambda(16x)=0 \Rightarrow \lambda = -\frac{yz}{16x}$[/tex] .............(iii)

[tex]$\frac{dF}{dy}=0 \Rightarrow xz+\lambda(2y)=0 \Rightarrow \lambda = -\frac{xz}{2y}$[/tex] ..................(iv)

[tex]$\frac{dF}{dz}=0 \Rightarrow xy+\lambda(16z)=0 \Rightarrow \lambda = -\frac{xy}{16z}$[/tex] ...............(v)

Equating (iii) and (iv)

[tex]$-\frac{yz}{16x}=-\frac{xz}{2y} \Rightarrow y^2=8x^2 \Rightarrow y = \sqrt8 x$[/tex] ...............(vi)

Equating (iii) and (v)

[tex]$-\frac{yz}{16x}=-\frac{xy}{16z} \Rightarrow z^2=x^2 \Rightarrow z = x$[/tex] ....................(vii)

Substitute (vi) and (vii) in (i),

From (i),

[tex]$4x^2 + (\sqrt8 x)^2+4x^2 = 4$[/tex]

[tex]$\Rightarrow 4x^2 +8x^2+4x^2 = 4 \Rightarrow x = \frac{1}{4}$[/tex]

From (vi),

[tex]$y = \sqrt8 x$[/tex]

[tex]$\Rightarrow y= \sqrt8 \times \frac{1}{4} \Rightarrow y =\frac{\sqrt8}{4}$[/tex]

[tex]$\Rightarrow y =\frac{\sqrt{2\times4}}{4} \Rightarrow y = \frac{1}{\sqrt2}$[/tex]

From (vii),

z = x

[tex]$z =\frac{1}{4}$[/tex]

Therefore, for maximum volume the dimensions of a rectangle box are

[tex]$x =\frac{1}{4} ; y = \frac{1}{\sqrt2} ; z =\frac{1}{4}$[/tex]

Which of the following inequalities is correct?

Answers

Answer:

B

Step-by-step explanation:

Identify the VERTEX

Please help​

Answers

Answer:

1,-4

Step-by-step explanation:

The vertex is always that little spot there at the tip of a nonlinear function.

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