According to a survey, about 30% of people ages 18 and older in a city have a cat. You ask 5 randomly chosen people (ages 18 and older) whether they have a cat. What is the probability that at least 2 people have a cat? Round your answer to the nearest hundredth.

Answers

Answer 1

Step-by-step explanation:

When they ask what the prob that at most 3/4 people asked have a pet, they are asking what is the prob that 0, 1, 2, or 3 people answer yes. So you could calculate all 4 of those and then add them together.

However, in this case, since there's only 1 other possible outcome (all 4 have a pet), we could just calculate the prob of that and subtract it from 1 to get the prob of everything else happening.

We'll use the binomial distribution formula where n=4, k=4, and P=.6.

nCk * P^n * (1-P)^(n-k)4C4 * (.6)^4 * (.4)^0.1296

So the prob of at least 3 having pets = 1 - P(all 4 have pets) which is 1-.1296 = .8704.  You could double check this by calculating the prob of the other 4 outcomes and then adding them together.

Answer 2

The probability that at least 2 people have a cat is 0.522 or 52.2%.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

This is a problem that can be solved using the binomial probability formula, which gives the probability of getting exactly k successes (in this case, people with cats) out of n trials (in this case, people you ask) with a probability of success (in this case, having a cat) of p.

The formula is:

P(k) = (n choose k) × [tex]p^k \times (1-p)^{(n-k)}[/tex]

where (n choose k) is the binomial coefficient, which is equal to n! / (k! × (n-k)!).

For this problem, n = 5 (the number of people you ask), k = 2 (the number of people who have cats), and p = 0.3 (the probability of a person having a cat, according to the survey).

P(2) = (5 choose 2) × 0.3² × 0.7³

P(2) = 0.252

To find the probability of at least 2 people having a cat, we have to add up the probability of getting exactly 2, 3, 4, and 5 people having cats.

P(≥2) = P(2) + P(3) + P(4) + P(5)

Substituting the values we get:

P(≥2) = 0.252 + 0.189 + 0.072 + 0.009 = 0.522

So, the probability that at least 2 people have a cat is 0.522 or 52.2%.

Learn more about probability here:

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Related Questions

¿Cuanto es el 15% de 9,000?

Answers

Answer:

10% = 900

5% = 450

15% = 1,350

Please brainliest

Find the slope from the two points given: (-4, 2) and (5, 6) *

Answers

Answer:

Slope = 4/9

Step-by-step explanation:

x1(-4,2)

x2(5,6)

Slope,

m = (y2-y1)/(x2-x1)

= (6-2)/(5--4)

=4/9

h (p) = p2 – 3p, find h (2)

Answers

Answer:

-2

Step-by-step explanation:

see Image below:)

Pls help with this one question

Answers

Answer:

19

Step-by-step explanation:

Cause it’s angle on a straight line which is equals to 180

A group of people who gathered to watch a baseball game voted for their favorite teams.

New York Mets 4
Washington Nationals 1
Toronto Blue Jays 5

What is the probability that the favorite team of a randomly selected baseball fan is the Toronto Blue Jays?

Write your answer as a fraction or whole number.

P(Toronto Blue Jays) =

Answers

Answer:

sdfgafddasfadfs

Step-by-step explanation:

dfsadsafdsfadfsadsfasdfa

Solve using the quadratic formula. Approximate answers to the nearest tenth.
Help

Answers

Answer:

x = 2.4 or x = 0.3

Step-by-step explanation:

3x² - 8x + 2 = 0

Quadratic formula

x = {-b ±√b² - 4ac} / 2a

a = 3

b = -8

c = 2

x = {-b ±√b² - 4ac} / 2a

= {-(-8) ±√(-8)² - 4*3*2} / 2*3

= (8 ± √64 - 24) / 6

= (8 ± √40) / 6

= (8 ± 2√10) / 6

= 8/6 ± 2√10/6

= 4/3 ± √10 / 6

x = 4/3 + √10 / 6 or 4/3 - √10 / 6

x = 2.4 or x = 0.3

pls answer correct or i will ban you
And I will mark brainlist whoanewers correct​

Answers

Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3

----------------------

To summarize so far, we have these three facts

angle CAB = angle CADAC = ACangle ACB = angle ACD

in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.

------------------------

Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).

1) Find the distance between -49.75 and 31.5 on a number line.​

Answers

Answer:

81.25

Step-by-step explanation:

Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.

Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.

Finally, add those two distances together so that you know the total distance:

49.75+31.5 = 81.25

Answer:

in the picture

HOPE ITS HELP


Standard fom: 4x20x² 24x
what is the Leading coefficient
Explain the behavior base on the
degree and leading coefficient?

Answers

Answer:

that is behavior that coefficient

What is the slope of the line through the points (-2, -1) and (4, 3)?

Answers

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...

Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)

Subtract the values in parentheses to get 4/6

Simplify the fraction to get the slope of  2/3

help please if you can

Answers

Answer:

Ice, ig.

It is made up of the remaining part of the solar system, after all.

Hope it helps you

Please mark as brainliest

Need help asap please and thank you

Answers

Answer:

(x=4)^2=23; the third one

Step-by-step explanation:

When you solve it using the quadratic formula it's the same as the original answer.

I NEEDDD HELPPPPP PLEASEEE

Answers

Answer:

#3

Hope this helped! Please give brainliest to let me know <3

Step-by-step explanation:

Presale tickets (p) are each worth $7: represented in the equation as 7p.

Door tickets (d) are each worth $10: represented in the equation as 10d.

They sold 345 tickets, so p+d=345. They collected $2550, so 7p+10d=2550.

Final answer:

(3) [tex]\left \{ {{7p+10d=2550} \atop {p+d=345}} \right.[/tex]

A submarine begins its descent from the surface of the water and dives 20 feet for each minute. What would be the depth of the submarine after 2/3 hours?

Answers

Answer:

Distance = speed * time

Convert feet to meter (C units) = about 6

Convert hours to second (C units) = about 2399

Distance = 6 * 2399

= 1439 meters

4721 foot

Write the slope-intercept form of the equation for the line

Answers

The third answer is correct

Hope this helps ;)

Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3

Answers

Step-by-step explanation:

-2x+5<3

-2x>3-5

-2x>-2

Divide both sides by -2

x>1

Answer:

-2x+5<3

-2x<-2

x<1

Solve for x:−2(x+9)=−1(x+−1)+2

Answers

Answer:

A

Step-by-step explanation:

expanding the bracket, we would have

-2x -18 = -x+1+2

-2x+x= 3 +18

-x=21

x=-21

Answer:

A

Step-by-step explanation:

−2(x+9)=−1(x+−1)+2

Use distributive property

-2x - 18 = -1x + 1 +2

-2x - 18 = -1x + 3

      +18         +18

-2x = -1x +21

+1x    +1x

___________

-x = 21

we need to have a positive x so multiply x by -1. -x times -1 = x

What we do on the left side has to happen to the right side too

So, 21 times -1 = -21

Therefore, x = -21

Hope this helps :)

hey you guys its your favorite gal, hopin in to ask a couple more questions for the better in me (im honestly just asking for points and for answers, thanks for being loyal as always )

Select the correct answer.
Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?
A.
15 + d = 100
B.
100 + d = 15
C.
d × 15 = 100
D.
d × 100 = 15

Answers

Answer:

c

Step-by-step explanation:

We are dividind how 100 can fit in 15 seconds

which is 100 /15

therefore when C when u tak it to the other side it divides 100 in 15

d×15=100

d=100/15

which comparison is correct?
140.07 < 140.7
140.07=140.7
140.07 > 140.7

Answers

The answer is 140.07< 140.7 I hope I help

Answer:

40.07 < 140.7

step by step explanation:it's just correct I think

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
O y = -3x - 2
O y = -3x + 2
O y = 3x + 2
O y = 3x - 2

Answers

⊹˚ʚ ❑Answer︰The slope is 3!

⊹˚ʚ ❑Explanation︰use the formula y2-y1 over x2-x1

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

Answer:

y = 3x - 2.

Step-by-step explanation:

The slope of the line (m) = (10-4)/(4-2)

= 3.

y - y1 = m(x - x1)

y - 10 = 3(x - 4)

y = 3x - 12 + 10

y = 3x - 2.

please help me with this!

Answers

5*2=10. 2*3=6 2*3=6. 3*5=15. 3*5=15. 5*2=10

10+10+6+6+15+15= 62 units^2

help gggggggggggggggggggggggggggggggggggggg

Answers

Answer:

22 units

The correct answer is A

I believe the answer to this is 22 units.

I hope this helps! :D

The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?

Answers

Answer:

5,2

Step-by-step explanation:

the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2

What is the vertex of the quadratic function below?
y = 1/2x^2 + x. + 3
A. (-1,5)
B. (1/2,3)
C. (1,3)
D. (-1/,5/2)

Answers

Answer:

C

Step-by-step explanation:

Into the thick of it

You are examining your choices of banks to open a new checking account. Potential costs include monthly maintenance fees, statement copy fees, and ___________.

Answers

overdraft fees is your answer

Answer:

overdraft fees is your answer

Step-by-step explanation:

What is the volume of the pyramid? Show all work.

Answers

8x4x6 / 3 = 64

The general volume of a pyramid formula is given as: Volume of a pyramid = 1/3 x base area x height. Where Ab = area of the polygonal base and h = height of the pyramid.
LxWxH/3

How do I solve this?​

Answers

What you do is you use the x and y and turn them into coordinate points and put them on the graph. The points would be…

(-2, 1)
(0,-1)
(2, -3)

I hope this helped!

helppppppp pleaseeee f/4 - 5 = -9

Answers

Answer:

Step-by-step explanation:

f/4-5=-9

f-4*5/4=-9

f-20/4=-9

f-20=-9*4

f-20=-36

f=-36+20

f=-16

Answer:

f/4 - 5 = -9

f-20/4=-9

f-20=-9×4

f-20=-36

f=-36+20

f=-16

its a very simple question... wanna get brainliest. if so answer this ..
Did I colored the parts correct ... should the denominator be 4 instead of 2..??? ​

Answers

If you want it to be 1/2 then you would have to color in another part, but if you want it to be 1/4 then that’s what you drew and you would have to change the denominator to a 4.

I hope this helped.

What is x? Please help quickly!

Answers

Answer:

27 1/3

Step-by-step explanation:

Since both angles form a straight line of 180, you can set your formula up as

180=4x+2x+16

180-16=6x

164=6x

164/6=x

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