Approximately 70% of U.S. adults had at least one pet as a child. We randomly survey 60 U. S. adults. We are interested in the number that had at least one pet as a child. The probability that at least 3 adults had at least one pet as a child means:
A. P(X=0)+P(X=1)+P(X=2)+P(X=3)
B. P(X=0)+P(X=1)+P(X=2)
C. P(X=4)+P(X=5)+P(X=6)+ ...
D. P(X=3)+P(X=4)+P(X=5)+ ...

Answers

Answer 1

Answer:

D. P(X=3)+P(X=4)+P(X=5)+ ...

Step-by-step explanation:

Given

[tex]n =60[/tex]

[tex]pr = 70\%[/tex] -- proportion of adults with pet

Required

Represent at least 3 adult with pet as a probability

At least 3 means 3 or more than.

So, the probability is represented as:

[tex]P(x \ge 3) = P(3) + P(4) + P(5) + ........[/tex]

Hence;

(d) is correct


Related Questions


How many hours did we spend in class?
a. 2 hours
b. 3 hours
C. 4 hours
d. 5 hours​

Answers

Answer:

D. 5 hours that's clostest to the actual time we spent

Step-by-step explanation:

the actual time would be more around 6 hours

Triangle Q S R is shown. Angle Q S R is a right angle. Altitude s is drawn from point S to point T on side Q R to form a right angle. Side Q S is labeled r and side W R is labeled q. The length of Q T is 10 and the length of R T is 4.

What is the value of q?

4 StartRoot 5 EndRoot
2 StartRoot 14 EndRoot
20 StartRoot 5 EndRoot
64 StartRoot 5 EndRoot

Answers

Answer:

2 StartRoot 14 EndRoot

Step-by-step explanation:

To solve for q, we apply the leg rule theorem :

The hypotenus = 10 + 4 = 14

Leg 1 = q

Part1 = 4

According to the leg rule theorem :

Hypotenus / leg 1 = leg 1 / part 1

14 / q = q / 4

Cross multiply :

q * q = 14 * 4

q² = 56

q = √56

√56 = √4 * √14 = 2√14

Answer:

B

Step-by-step explanation:

edge 2021

HELP PLEASE!!!!!
options
A) AAS
B) ASA
C) HL
D) SAS

Answers

The answer is A) AAS because it goes angle then angle then side.

Determine the postulate or theorem that would determine the pair of triangles to be congruent

C
d.
- SSS
:: SAS
- ASA
# AAS
: HL
.: Cannot be determined

Answers

Answer:

HLSSSAASSAS

Step-by-step explanation:

Right angle with equal corresponding sides and a common sideTwo equal sides with a common sideEqual angle and side with vertically opposite anglesTwo equal sides with vertically opposite angles

Which statement about population parameters and point estimates is false? O A. o is the population standard deviation. It is usually unknown. B. p is the sample mean. It is used to estimate the population mean. C. sis the sample standard deviation. It is the square root of the variance. O D. nis the sample size. It is used to calculate the sample mean. SUBMIT​

Answers

Using the Central Limit Theorem, the false statement is given by:

B. [tex]\mu[/tex] is the sample mean. It is used to estimate the population mean.

What does the Central Limit Theorem state?

It states that, for a normally distributed random variable X, with population mean [tex]\mu[/tex] and population standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s_E = \frac{\sigma}{\sqrt{n}}[/tex].

If we have the standard deviation for the sample s, the Central Limit Theorem can also be applied.

The sample mean is given by [tex]\overline{x}[/tex], hence option B is false.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

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Which of the following is the inverse of y=3x?

Answers

Answer:

optin 2

Step-by-step explanation:

swap x and y:

[tex]y = 3^x\\\\x = 3^y\\\\log (x) = y log(3)\\\\y = \frac{log (x)}{log(3)} \\\\y = log_3(x)[/tex]      [tex][ using \ the\ rule :\frac{\log _c\left(b\right)}{\log _c\left(a\right)}=\log _a\left(b\right)][/tex]


The surface area of a square pyramid is 125 square feet. The base length is 5 feet. What is the slant height?

Answers

Answer:

10.31 ft

Step-by-step explanation:

the base is 25 ft²

leaves 100 ft² for the 4 sides on top

so each triangle got 25ft²

the base length of the triangle is 5ft, bc it's the base length of the pyramid

so the height of the triangle is 10ft,

bc only then do we get a surface area of 25ft²

(b * h /2) for the triangle

now that we got base length and height,

let's look for the slant

we recall the pythagoras stuff to get the missing side of the triangle. but notice that we need to split the triangle in half to get a 90° angle.

leaving us with 10ft (height) and 2.5ft

slant² = 10² + 2.5²

slant² = 106.25

slant = sqrt(106.25)

slant = 10.31

The answer is 10.31

in a recent year, 21.2% of all registered doctors were female. if there were 42,800 female registered doctors that year, what was the total number of registered doctors?​

Answers

Answer:

201886

Step-by-step explanation:

Please help me with this question ☝️☝️

Answers

Answer:

[tex]\frac{-4}{5}[/tex]

Step-by-step explanation:

[tex]\frac{-4}{15}* 3 = -4/5[/tex]

Do 7, 8, and 9 form a right triangle?

Answers

Answer:

No, 7, 8 and 9 do not form a right triangle.

Step-by-step explanation:

Assume that the shorter two side lengths are  7 and 8.  Does 7^2 + 8^2 add up to 9^2?  Does 49 + 64 add up to 81?  NO.

No, 7, 8 and 9 do not form a right triangle.

solve the inequality
2(4 x + 1)< 3 (2 x - 3)​

Answers

Answer:

    [tex]2 (4x + 1) < 3(2x - 3) \\8x + 2 < 6x -9 \\8x - 6x < -9 - 2\\2x < -11\\\\x< - \frac{11}{2}[/tex]

Answer:

x> - 11/2

Step-by-step explanation:

See image below:)

van wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
A. 1 × 32, 2 × 16, 16 × 2, 32 × 1
B. 1 × 32, 2 × 16, 3 × 12, 4 × 8, 32 × 1
C. 1 × 32, 2 × 16, 3 × 12, 4 × 8, 8 × 4, 12 × 3, 32 × 1
D. 1 × 32, 2 × 16, 4 × 8, 8 × 4, 16 × 2, 32 × 1

Answers

Answer:

1*32, 2*16, 4*8, 8*4, 16*2, 32*1

Step-by-step explanation:

A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is

Answers

Answer:

1.5 because it passed it.

Negative six multiplied by negative ten is subtracted from eight multiplied by five. Find the number

Answers

Answer:

The answer is -20.

Step-by-step explanation:

(8 × 5) - (-6 × -10)

= 40 - 60

= -20

So first we can find -6 times -10. Since there are two negatives, the answer will be positive. -6 times -10 =60. Then we need to find 8 times 5. 8 times 5 is 40.
Now we have 40-60=-20.
The answer is -20

What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?

Answers

Answer:

The base is: [tex]3 \sqrt[3]{4}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{4}(\sqrt[3]{108})^x[/tex]

Required

The base

Expand 108

[tex]f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x[/tex]

Rewrite the exponent as:

[tex]f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x[/tex]

Expand

[tex]f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x[/tex]

[tex]f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x[/tex]

Rewrite as:

[tex]f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x[/tex]

An exponential function has the following form:

[tex]y=ab^x[/tex]

Where

[tex]b \to base[/tex]

By comparison:

[tex]b =3 \sqrt[3]{4}[/tex]

So, the base is: [tex]3 \sqrt[3]{4}[/tex]

Answer:

B

Step-by-step explanation:

good luck

A Ferris wheel completes 7 revolutions in 14 minutes. The radius of the Ferris wheel is 30 feet.

What is the linear velocity of the Ferris wheel in inches per second?

Enter your answer, rounded to the nearest tenth, in the box.

Answers

The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.

What is the speed of an object?

The speed of an object is the ratio of the total distance covered by the object and total time taken by the object to complete that distance.

Here, the radius of the Ferris wheel is (r) = 30 feet.

The circumference of the wheel is

= 2πr

= 2 × π × 30 feet

= 60π feet

Here, the Ferris wheel completes 7 revolutions.

Therefore, it covers the linear distance of

= 7 × circumference of the wheel

= 7 × 60π feet

= 420π feet

Now, the Ferris wheel took 14 minutes to complete 420π feet.

Therefore, the speed of the wheel is

= (420π/14) feet/minute

= 30π feet/minute

= (30π × 12)/60 inches/second

= 6π inches/second

= 18.9 inches/second

Learn more about the speed of an object here: https://brainly.com/question/16123156

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PLEASE HELP ASAP I NEED THIS LIKE RIGHT NOW NO LINKS OR WILL BE REPORTED! SHOW ALL OF YOUR WORK! 3. The area of the square rug is 484 feet squared. (a) What is the length of one side? Write it as a square root. SHOW ALL OF YOUR WORK. (Hint: How do you find the area of a square? What is the equation?) (b) write the area as a number squared SHOW ALL OF YOUR WORK​

Answers

Answer:

well,

it's more than (20ft)²

bc 20*20 =400

21² = 21 * 21 = 441

getting closer...

22² = 22 * 22 = 484

[tex] \sqrt{484} = {22}^{2} [/tex]

yet, we arrived, short trip tough, pls leave the bus in an orderly manner

Is the following statement possible or impossible?

Answers

Impossible

Hope this helps! :)

Answer:

Impossible

Step-by-step explanation:

Based on the Inequality Theorem, in any triangle, the sum of any two sides will be larger than the length of the thrid side. If the side lengths do not follow this rule, then that means that you can not create a triangle with such side lengths. In our case, the sum of two sides with lengths 1 and 8 is 1 + 8 = 9 and 9 is not greater than the length of the third side which is also 9. Therefore, it is impossible to build a triangle with such lengths.

Janet and Patrick surveyed a total of 219 people. Out of the 137 girls who were surveyed, 28 said summer was their favorite season and 12 said that winter was their favorite.

The results showed 22 boys said that spring was their favorite season and 8 boys said winter was their favorite.

A total of 45 people said that summer was their favorite season and a total of 74 people said that fall was their favorite season.

In this activity, you will construct two-way frequency tables to help Janet and Patrick analyze the data they gathered from their survey.

Part A
Create a two-way frequency table to represent the results of the survey by entering the appropriate data in each box.

Answers

Answer: See figure 2 in the diagram below for the table.

==========================================================

Explanation:

The steps are fairly lengthy to explain in words, but the process is fairly straightforward. Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. For instance, you'll replace A with 219 since that's the grand total. Then B is replaced with 137 since we're told that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on. Use arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows. The alphabetical order directly corresponds to the order in which the values are given by your teacher (eg: 219 is first, then 137 next, and so on).

Let me know if you get stuck on any one step, or need me to go into more detail.

A frequency table is a list of objects with the frequency of each item shown in the table. The frequency table is attached with the answer below.

What is a frequency table?

The frequency of an occurrence or a value is the number of times it happens. A frequency table is a list of objects with the frequency of each item shown in the table.

The steps are fairly lengthy to explain in words, but the process is fairly straightforward. Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. For instance, you'll replace A with 219 since that's the grand total.

Then B is replaced with 137 since we're told that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on. Use arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows.

The alphabetical order directly corresponds to the order in which the values are given by your teacher (eg: 219 is first, then 137 next, and so on).

Let me know if you get stuck on any one step, or need me to go into more detail.

To know more about the frequency table follow

https://brainly.com/question/16148316

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This is a question from one of my probability units on an algebra 2 homework. The question is attatched.

Answers

Answer:

A) 2/9

Step-by-step explanation:

6 rolls out of 36 would be doubles. 6/36

2 rolls out of 36 would equal 11. 2/36

6/36+2/36=8/36 = 4/18 = 2/9

Help
Question 1:
Are x2 and x like terms?


Are 4x and 2x like terms?


Are 2x and 2y like terms?


Are 3x2 and 6x2 like terms?

Answers

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

- [tex] \large{ \boxed{ \tt{LIKE \: AND \: UNLIKE \: TERMS}}}[/tex]

Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted. For instance : We can say 4y and 5y are like terms as they have the same base i.e y

Unlike terms are those which have the different base. Unlike terms can neither be added nor subtracted. For instance : We can say 4x and 6y are unlike terms as they have the different base i.e 4x has the variable x while 6y has the variable y.

[tex] \large{ \tt{❊ \: LET'S \: START}} : [/tex]

No , x² and x are not like terms since they don't have same base.

Yes , 4x and 2x are like terms since they have the same base.

No , 2x and 2y are not like terms since they have different base.

Yes , 3x² and 6x² are like terms since they have the same base .

[tex] \tt{✺ \: BE \: IN \: LOVE \: WITH \: YOUR \: LIFE !\: ♪}[/tex]

۵ Hope I helped ! ツ

☼Have a wonderful day / evening ! ☃

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

After 4 pm, the rides are 50% off. If the price is $7, how much will it cost after 4 pm?

Answers

Answer:

answer is 3.5 dollar

dividing 7 ÷ 2 = 3.5 dollar

as we have to take 50 percent

y = 4cos pi * x + 3
It’s asking me for the function’s transformations I already have vertical stretch and and horizontal shrink there is one last one and the options are:

Translation right 3
-
Translation down 3
-
Translation up 3
-
Translation left 3

Answers

9514 1404 393

Answer:

  Translation up 3

Step-by-step explanation:

Adding 3 to the function value translates its graph up 3 units.

Find the x-intercept and the y-intercept of the graph equation 7x +3y =21 type a integer

Answers

Answer:

7(y intercept)

Step-by-step explanation:

y = mx +c form

y = 21-7x/3

c = 21/3 = 7(y intercept)

x i have no idea

To find x-intercept ,put y= 0 in the given eqn

So, 7x+3(0) = 21

=> 7x =21

=> x= 21/7 = 3

x-intercept = 3

Similarly, to find y-intercept put x=0 in the given eqn

So ,7(0)+3y=21

=> 3y=21

=> y= 21/3 = 7

y-intercept = 7

HELP!! Create a system of equations with the solution (-4, 1)

Answers

9514 1404 393

Answer:

  x -y = -5

  3x +y = -11

Step-by-step explanation:

We assume you want two linear equations. Since you know a point on each line, the only thing you need to choose is the slope of the two lines through that point. We can make the slopes be +1 and -3, for example. Then the point-slope equations are ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

 y -1 = +1(x +4)

  y -1 = -3(x +4)

We can use these equations "as is", or put them in whatever form you like. I personally prefer "standard form:" ax+by=c.

First equation:

  y -1 = x +4 . . . . . . eliminate parentheses

  -5 = x -y . . . . . . . keep positive x term, put x and y together, separate from the constant

  x - y = -5 . . . . . . standard form

Second equation:

  y -1 = -3x -12 . . . . eliminate parentheses

  3x +y = -11 . . . . . . add 3x+1 to both sides

__

A system of equations with solution (-4, 1) is ...

x - y = -53x + y = -11

PLEASE HELP!!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST !!!

Answers

Answer:

<GBC = 7x + 45° ( vertically Opposite angles)

Now let's get the value of x

10x-3 = 7x + 45 (corresponding angles)

10x - 7x = 45 + 3

3x = 48

x= 48/3

x=16°

<GBC = 7(16) + 45

=157°

A label printer prints 9 pages of labels in 2.0 seconds. How long will it take to print 396 pages of labels?

Answers

Answer:

88 or 1 minute and 28 seconds

Step-by-step explanation:

396/9= 44 times the two seconds it takes to print is 88

Answer:

1782

Step-by-step explanation:

9 divided by 2.0

=4.5

4.5×396

=1782

HELPPP ME PLSSSS
I NEED THIS FOR MY CLASS

Answers

Answer:

hii im looking at the same thing  you just have to do the multiplication on that

Step-by-step explanation:

Fraser scores 70% in a spelling test with 20 questions. How many did he get right? (Working out please)

Answers

Answer:

He got 14 right

Step-by-step explanation:

Percent means out of 100

70% means 70/100

We know there were 20 questions

We can write a ratio

70/100 = x /20

Using cross products

70*20 = 100x

1400 = 100x

Divide by 100 on each side

1400/100 = 100x/100

14 =x

He got 14 right

Answer:

I believe he got 14 right and 6 wrong

Step-by-step explanation:

if 10% is 2 questions each question is worth 5 points to make up of 100 (100 divided by 20 = 5) and there are 100 points in the quiz then every 2 right would be 10% count until you get 70% and you got your answer :) please mark brainliest and have a good day

X/30 + X/40= 1
Solve for x

Answers

Answer:

17 1/7 I think

Step-by-step explanation:

x=17.1

Step-by-step explanation:

[tex] \frac{x}{30} + \frac{x}{40} = 1 \\ \frac{3x + 4x}{120} = 1 \\ \frac{7x}{120} = 1 \\ \frac{7x}{120} = 1 \\ 7x = 120 \\ x = \frac{120}{7} \\ x =17.1 [/tex]

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