A real estate agent has 1717 properties that she shows. She feels that there is a 60`% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling no more than 55 properties in one week. Round your answer to four decimal places.

Answers

Answer 1

Answer:

[tex]P(x \le 5) = 0.0110[/tex]

Step-by-step explanation:

Given

[tex]n = 17[/tex] -- number of properties

[tex]p = 60\%[/tex] --- probability of selling a property

Required

[tex]P(x \le 5)[/tex]

The question is an illustration of binomial probability, and it is calculated using:

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

So, we have:

[tex]P(x \le 5) = P(x = 0) +P(x = 1) +P(x = 2) +P(x = 3) +P(x = 4) +P(x = 5)[/tex]

[tex]P(x=0 ) = ^{17}C_0 * (60\%)^0 * (1 - 60\%)^{17-0} = 1.71798692*10^{-7}[/tex]

[tex]P(x=1 ) = ^{17}C_1 * (60\%)^1 * (1 - 60\%)^{17-1} = 0.00000438086[/tex]

[tex]P(x=2 ) = ^{17}C_2 * (60\%)^2 * (1 - 60\%)^{17-1} = 0.00005257039[/tex]

[tex]P(x=3 ) = ^{17}C_3 * (60\%)^3 * (1 - 60\%)^{17-3} = 0.00039427799[/tex]

[tex]P(x=4 ) = ^{17}C_4 * (60\%)^4 * (1 - 60\%)^{17-4} = 0.00206995948[/tex]

[tex]P(x=5 ) = ^{17}C_5 * (60\%)^5 * (1 - 60\%)^{17-5} = 0.008072842[/tex]

So, we have:

[tex]P(x \le 5) = 1.71798692*10^{-7}+0.00000438086+0.00005257039+0.00039427799+0.00206995948+0.008072842[/tex]

[tex]P(x \le 5) = 0.01059420251[/tex]

[tex]P(x \le 5) = 0.0110[/tex]


Related Questions

What is the end behavior of the function f(x)=−3/4x^2?

Answers

Answer:

[tex]f(x)\longrightarrow-\infty[/tex], as [tex]x\longrightarrow+\infty[/tex]

Step-by-step explanation:

We can see that the larger the input, the smaller the output

What is the factored form of 42 + 63?

Answers

Answer:

3 * 5 * 7

when i say * i mean the multiplication sign.

Step-by-step explanation:

Just ask. <3

(✿◡‿◡) HAPPY HOLIDAYS!!!

 :D

Answer:

The GCF of 42 and 63 is 21. To calculate the greatest common factor (GCF) of 42 and 63, we need to factor each number (factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42; factors of 63 = 1, 3, 7, 9, 21, 63) and choose the greatest factor that exactly divides both 42 and 63, i.e., 21.

Step-by-step explanation:

Helpp! Part B- What is the equation of the line representing the cost of regular yogurt?
Part C- Lucia’s purchases 32 ounces of the less expensive yogurt. How much does the yogurt cost?

Answers

Answer:

10 to 1

Step-by-step explanation:

if 0 went to up there 10 you'd have to

What is the value of the expression
4x+y when x = 2 and y = 4?
2y-1

Answers

4(2)+4 =
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Input 2 into the space of the X since it’s together it will be multiplication. Do the same with Y. Then add and you’re done :)



please help! will give brainliest:)

Solve the following system:
2x - z=14 a
10
3x - y + 5z = 0
(4x + 2y + 3z = -2

Answers

Answer

1) x = 8

2) x = 1/3y + -5/3z

3) x = -1/2y + -3/4z + -1/2

Hope this helps:))

Which number is a perfect cube?
O4
O 16
O 24
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Answers

64 is a good number for a cube

Easy question about multiplication? unsure why not getting full marks

Answers

i think that you have forgot to divide at the end, like the first one would be 28 because you would divide by an estimate of 2

Trinity earns 8 dollars working at a local supermarket and 6 dollars per hour babysitting

Answers

Answer: so 14 dollars in total

Step-by-step explanation:

Answer: Based on the current non-complete question, the answer Trinity earned $14.

Step-by-step explanation: 8 + 6 = 14.

Negative 4 squared + (5 minus 2) (negative 6)

Answers

Answer:

-2

Step-by-step explanation:

Does a quadratic polynomial have a degree of to

Answers

Answer:

Idioet duh it does.

Step-by-step explanation:

12×12 get this right i will give you brainliest​

Answers

Answer:

144

Step-by-step explanation:

12 x 2 =24 12 x 10 =120 120 + 24 =144

Hi, let's solve our equation.

[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]

[tex]12\cdot12[/tex]

_______________

we can use multiple methods to solve this problem.

Distributive property Regular multiplication Fraction division

________________

[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}}[/tex]

Here is how it would look to do distributive property

[tex](10\cdot12)+(2\cdot12)[/tex]

Follow PEMDAS rule

Parenthesis Exponents Multiplication or Division Addition or Subtraction

Solve it and we get the answer of 144.

________________

[tex]{\huge{\boxed{\mathbb{REGULAR\:MULTIPLICATION}}}[/tex]

just multiply [tex]12\cdot12[/tex] which equals 144

________________

[tex]{\huge{\boxed{\mathbb{FRACTION\:DIVISION}}}[/tex]

here is how it would look like.

[tex]\frac{12}{1}\div\frac{1}{12}[/tex]

Follow the rule, also known as keep change flip, which makes it look like

[tex]\frac{12}{1}\cdot\frac{12}{1}[/tex] which equals 144

________________

[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]

144

Pls help I’ll brainlest ASAP I’ll add extra points

Answers

Answer:

I think the slope is -1/-4 or - 1/4

If $3000 grows to $3540 after 3 yr, find the simple interest rate

Answers

Answer:

R = 6%

Step-by-step explanation:

We know that

SI = A - P

SI = 3540 - 3000

SI = $540

R = 100 × SI/P × T

R = 100 × 540/3000 × 3

R = 54/9

R = 6%

S O L U T I O N:

Here we've been provided with the information i.e

Amount (A) = 3540

Principal amount (P) = 3000

Time period (T) = 3 years

And we are asked to calculate simple interest rate (R) = ?

The standard formula to calculate is given by,

[tex]:\Rrightarrow\sf{S.I. = A - P}[/tex]

[tex]:\Rrightarrow\sf{S.I. =3540 - 3000}[/tex]

[tex]:\Rrightarrow\sf{S.I. =540}[/tex]

[tex]:\Rrightarrow\sf{R = 100 \times \frac{S.I.}{P} \times t}[/tex]

[tex]:\Rrightarrow\sf{R = 100 \times \frac{540}{3000} \times 3}[/tex]

[tex]:\Rrightarrow\sf{R = \frac{54}{9} }[/tex]

[tex]:\Rrightarrow\sf{R = 6\%}[/tex]

The simple interest is 6%.

Help with the answer

Answers

Answer:

3 6/7

Step-by-step explanation:

Absolute value is the distance a number is away from 0 on a number line; another way of thinking about absolute value is that it is the positive version of every number. So, the absolute value of -1 is 1, and the absolute value of 88 is 88. We can apply this rule to 3 6/7 - how far is it away from 0 on the number line? What is it as a positive number? Well it is 3 6/7 away from 0 on the number line, and it already is positive, so our final answer will be 3 6/7.

Hopefully that's helpful! :)

[tex]|3\frac{6}{7}|=3\frac{6}{7} =\frac{27}{7}[/tex]

ok done. thank to me :>

The graph below represents data that was collected by students on the number of social media posts they made the previous day. What's the greatest number of posts a student made?

Answers

From the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

Given the graph given that represents the data that was collected by students shows the following:

The lowest number of posts a student made is 0 (3 students made 0 posts).The greatest number of posts a student made is 10 (2 students made the greatest number of posts).The number of posts made by most students is 7 (6 students made 7 posts).

In summary, from the graph given, the greatest number of posts a student made, which is the maximum data value is: 10 posts.

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https://brainly.com/question/2962546

20% of a number is 184. What is the number

Answers

Answer:

20% is 184

100% is x

x= 184 • 100/20

x= 920

A group of 90 students plan to go camping over the weekend. At the last minute, some of the students decide not to go. The students who do go separated into four camps, where [tex]\frac{1}{7}[/tex] of the students stay at Hill Camp; [tex]\frac{1}{3}[/tex] of the students stay at Forest Camp; [tex]\frac{1}{4}[/tex] of the students stay at Field Camp; and the remaining students stay at Lake Camp. How many students were at Lake Camp?

Answers

Using fractions, it is found that of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.

The students who went camping are divided according to the following fractions:

[tex]\frac{1}{7}[/tex] stayed at Hill Camp.[tex]\frac{1}{3}[/tex] stayed at Forest Camp.[tex]\frac{1}{4}[/tex] stayed at Field Camp.The remaining x stayed at Lake Camp.

The sum of all these fractions is 100% = 1, hence:

[tex]\frac{1}{7} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]

[tex]\frac{12 + 28 + 21 + 84x}{84} = 1[/tex]

[tex]84x + 61 = 84[/tex]

[tex]84x = 23[/tex]

[tex]x = \frac{23}{84}[/tex]

Of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.

A similar problem is given at https://brainly.com/question/24372153

What is the equation for the line in slope-intercept form? 20 18+ Enter your answer in the box. 16+ 14+ 112+ NO+ 6 4 2 - 20-18 -16-14-12-10 -9 -6 -4 4 6 8 -20 -27 10 12 14 16 18 20 -4- -B -8 -10 -12+ -14H -16+ -18+ -20+​

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The slope of the line represents that the remainder of the goal decrease by 8 for each card sold.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The line passes through the point (1, 8) and (2, 16), hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-8=\frac{16-8}{2-1}(x-1)\\\\y=8x[/tex]

The equation of the line is given by y =8x

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WILL GIVE BRAINLIEST

Answers

Answer:

answer choice is B

Step-by-step explanation:

Use mathaway and scan the problem

Solve and graph the solutions of |x − 5| > 12. Write the solutions as a compound inequality.

Answers

Answer:

inequality form: x<-7 or x> 17

Step-by-step explanation:

A= 1/2bh
solve for b

Answers

Ok done. Thank to me :>

Answer:

A = bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by h )

b=2A/H

Step-by-step explanation:

Select the graph that correctly translates ƒ(x) = |x| 4 units in the negative x-direction and 3 units in the positive y-direction.

Answers

Answer:

it would be the last one

Step-by-step explanation:

lmk if you want an explanation

Plot 1[tex]\frac{2}{5}[/tex] −12, and −2[tex]\frac{1}{10}[/tex] on the number line.

Answers

Answer:

1st= 2.4 on the line

2nd= -0.5 on the line

3rd=2.1 on the line

Step-by-step explanation:

1st=because each line represents 1 part so if it is split into 5 you have to treat 2 lines as one

2nd 1/2=0.5 so -1/2= -0.5

3rd if one line is one part then it is 2.1

a^3/2a^0 simplify pls i need help

Answers

Answer:

a^3/2

Step-by-step explanation:

a^3/2a^0

We already know that any value to the zeroth power is 1, so we can start off by rewriting the equation as

a^3/2(1)

We also know that any value multiplied by 1 would result in itself. In this case, 2(1) is 2

Thus, our simplified expression is

a^3/2

Rewrite each of the following terms as an extended product. Consider carefully your order of operations and remember that exponents come before multiplication. You do not need to simplify the products.

Answers

#a

[tex]\\ \sf{:}\dashrightarrow 4^3=(2\times 2)^3=2^6[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow 3^2.3^3=3^5[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow (2^3)^4=2^{12}[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow x^3y^4\checkmark[/tex]

#e

[tex]\\ \sf{:}\dashrightarrow 8x^2y^5=2^3x^2y^5[/tex]

#f

[tex]\\ \sf{:}\dashrightarrow( 9x^2)^2=(3^2x^2)^2=3^4x^4[/tex]

Graph the solution set to this inequality. -2x+9_> 5x-12

Answers

x ≤  3 (closed dot going to the left)

What happens to the median of the data set below if the number 10 is added?

{2, 4, 8, 2, 7, 6, 18, 20, 24}

Answers

Answer:

The median goes up 0.5

Step-by-step explanation:

Before the number 10.

Mean x¯¯¯ 10.111111111111

Median x˜ 7

Mode 2

Range 22

Minimum 2

Maximum 24

Count n 9

Sum 91

Quartiles Quartiles:

Q1 --> 3

Q2 --> 7

Q3 --> 19

Interquartile

Range IQR 16

Outliers none

After 10 is added.

Mean x¯¯¯ 10.1

Median x˜ 7.5

Mode 2

Range 22

Minimum 2

Maximum 24

Count n 10

Sum 101

Quartiles Quartiles:

Q1 --> 4

Q2 --> 7.5

Q3 --> 18

Interquartile

Range IQR 14

Outliers none

It goes up .5.

Half a number is subtracted from 7 results in 34

Answers

Answer:

[tex]-54[/tex]

Step-by-step explanation:

If the number being halved is x, we can write the expression

[tex]7-0.5x=34[/tex]

Now, bring like terms and solve!

[tex]-0.5x=27[/tex]

Multiple both sides by -2 and you get

[tex]x=-54[/tex]

Wanna check the answer? Well...

[tex]7-(-54*0.5)=7+27=34[/tex]

I need help on this question pls​

Answers

Answer:

t = 17.5 f = 12

Step-by-step explanation:

If MNOP is a square, you know that each angle is going to be 90°. To solve, let's first set each equation equal to 90°:

[tex]90 = 4t + 20[/tex]

and

[tex]90 = 7f + 6[/tex]

Then solve both equations:

[tex]90 = 4t + 20 \\ 70 = 4t \\ 17.5 = t[/tex]

and

[tex]90 = 7f + 6 \\ 84 = 7f \\ 12 = f[/tex]

I hope that helps!

Who ever is right i will mark brainilest

Answers

yes yes no yes is the answer

Answer:

no

yes

no

yes

Step-by-step explanation:

thats the answer

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