Answer:
0.6127 = 61.27% probability of selling no more than 6 properties in one week.
Step-by-step explanation:
For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
12 properties
This means that [tex]n = 12[/tex]
She feels that there is a 50% chance of selling any one property during a week.
This means that [tex]p = 0.5[/tex]
Compute the probability of selling no more than 6 properties in one week.
This is:
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002[/tex]
[tex]P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029[/tex]
[tex]P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161[/tex]
[tex]P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537[/tex]
[tex]P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208[/tex]
[tex]P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934[/tex]
[tex]P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256[/tex]
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127[/tex]
0.6127 = 61.27% probability of selling no more than 6 properties in one week.
An air conditioning system can circulate 430 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
Divide the number of cubic feet that it can circulate by the number cubit feet per cubic yard. That gives the number of cubic yards that it can circulate. It can circulate about 10.37 cubic yards per minute.
The air conditioning system can be circulate in 15.92 cubic yards of air per minute.
Here,
An air conditioning system can circulate 430 cubic feet of air per minute.
We have to find the cubic yards of air which can be circulate in per minute.
What is the value of cubic yard in cubic feet?
1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.
Now,
1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.
Hence, Cubic yards of air circulate in per minute = 430/27 = 15.92
So, The air conditioning system can be circulate in 15.92 cubic yards of air per minute.
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Nigel has 1 cups of butter in his refrigerator. He wants to make cookies and cupcakes. The equation y = 0.5x represents the amount of
butter, in cups, y needed per dozen cookies, X. The table below shows the number of cups of butter needed based on the number of
cupcakes made
Answer:
37
Step-by-step explanation:
I think it will be b but I don’t know
Answer:
yeah it is b
acute and scalene
Step-by-step explanation:
scalene means none of the sides equal
and also all sides are acute angles
Answer:
yep you are correct it would be answer b
Step-by-step explanation:
hope this helped you
Need help on em punett sqaures
Answer:
Black Fur: 100% White Fur: 0%
Step-by-step explanation:
B B
b Bb Bb (all dominant)
b Bb Bb
Black Fur: 100% White Fur: 0%
Answer:
B B
______
b | Bb | Bb |
b | Bb | Bb |
_____
Phenotype Probability (%):
Black Fur: 100%
White Fur: 0%
_____________________
how do you find lateral surface area
Answer: This lateral surface area can be calculated by multiplying the perimeter of the base by the height of the prism. For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder: A = 2πrh.
Step-by-step explanation:
geometry math plz help
Answer:
1. mCD is equal to 84 degrees.
2. I believe that RPT would be equal to approximately 51 feet. I think I am right, but I am not 100% sure. I used formula though.
Step-by-step explanation:
1. In order to find the measure of CD, you would find the measure of AD and CD, because they add to 180, and from there you can take the answer, which will be the x value, and plug it back into measure CD's equation.
1. Add the equations of mAD and mCD and set them equal to 180, because together on the graph they add to 180 degrees, which is a semi-circle.
19x-49+5x+37=180
24x-12=180
2. Solve.
24x-12=180
24x=168
x=7
3. Plug x back into mCD and find the answer!
19(7)-49=84
mCD= 84 degrees!
2. Arc Length Formula
2[tex]\pi[/tex]r degrees/360
2pi (14) 208/360≈51
-3y-5=10 Show your work please, thank you.
Answer:
-5
Step-by-step explanation:
-3y = 10 + 5
-3y = 15
y = - 5
Answer:
hi
Step-by-step explanation:
-3y-5=10
-3y=10+5
-3y=15
y=15/ -3
y= -5
hope it helps
have a nice day
You have one chance in ten of winning the race.
Answer:
1/10?
Step-by-step explanation:
okay...
k/4 +3=14 What is the answer to this question?
Answer:
k=44
Step-by-step explanation:
In a benchmark study, a fast food restaurant had an average service time of 2.4 minutes. Assume that the service time for the fast food restaurant has an exponential distribution. (Round your answers to four decimal places.) (a) What is the probability that a service time is less than or equal to one minute
Answer:
[tex]P(x \le 1)= 0.9093[/tex]
Step-by-step explanation:
Given
[tex]\lambda = 2.4[/tex] -- mean
Required
Determine [tex]P(x \le 1)[/tex]
This is calculated using:
[tex]P(X \le x)= 1 - e^{-\lambda x}[/tex]
So:
[tex]P(x \le 1)= 1 - e^{-2.4 * 1}[/tex]
[tex]P(x \le 1)= 1 - e^{-2.4}[/tex]
[tex]P(x \le 1)= 1 - 0.0907[/tex]
[tex]P(x \le 1)= 0.9093[/tex]
what is the radius of a sphere whose surface area is 100cm²?
Answer:
r≈2.82
Step-by-step explanation:
Hope this helps and have a great day!!!
Step-by-step explanation:
that can help you
Find the range of the data. 26, 21, 27, 33, 24, 29
Answer:
33-21=9
Step-by-step explanation:
find the least common factor of 4,5,6 no links or photo or I will report you
Answer:
60
Explanation:
The new superset list is
2, 2, 3, 5
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 x 5 = 60
In exponential form:
LCM = 22 x 31 x 51 = 60
LCM = 60
Therefore,
LCM(4, 5, 6) = 60
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Equivalent: 6(y - 3) AND 2(3y - 9)
Not Equivalent: 3(y - 6) AND 2(y - 9)
Step-by-step explanation:
4y - 2(5 - y + 4)
4y - 2(9 - y)
4y - 18 + 2y
6y - 18 (Everything must be equivalent to this)
3(y - 6) NOT EQUIVALENT
3y - 18
6(y - 3) EQUIVALENT
6y - 18
2(y - 9) NOT EQUIVALENT
2y - 18
2(3y - 9) EQUIVALENT
6y - 18
Find the slope of 3y = 6x + 4
help please, also explain
Firstly, It says that the two triangles are similar .
The scale factor is 2 as 12 / 6 = 2
25 + 85 = 110
180 - 110 = 70.
70 degrees
Answer:
A: 70
Step-by-step explanation:
Step One: This problem is tricky because it makes it seem more difficult than it really is. Because these angles are similar through the SAS theorem, their angles are the same. Similar means they are proportional triangles, but for this problem, the most important thing to know is that the angles of both triangles are the same. This means we can use the angles from the first triangle exactly the same way for the second triangle.
Step Two: Now that we have that out of the way, we also need to know that all angles in a triangle add up to 180 degrees.
Step Three: Ok, so we have all the information we need, so now we can solve the problem. As I've said, the angles from the first triangle are the same for the angles in the second triangle. So, we would do 85+ 25= 110.
Step Four: Lastly, we would do 180 (since all angles add up to 180)-110 to figure out the missing angle: 180-110=70 degrees.
The equation for the perimeter around Claire's garden is a:
Group of answer choices
Linear Function
Exponential Function
Quadratic Function
Absolute Value Function
Answer:
Linear Function
Step-by-step explanation:
I just took the test and got it right.
one boy s c o r e d 80% out of a total of 500 marks how many marks did that boy is scored
The boy scored:
500 x 80% = 400 (marks)
find the area ojefwo rgw hercpx
Answer:
3.14, radius of this circle is 1 and 1^2 is 1 and 1x3.14 is 3.14
Step-by-step explanation:
HELP ME PLEASE SOME ONE!
Answer:
240 inches cubed
I see you have 4 mins left
Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.
option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.
What is Absolute value of a number?
Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.
In other words Absolute value is the modulus of any number.
A ) False : the absolute value of the positive number will increase with increase in positive number.
B ) False : the absolute value of the positive number will decreases with decreases in positive number.
C) False : the absolute value of the negative number will increase with increase in negative number.
D) TRUE: the absolute value of the negative number will decreases with decreases in negative number.
Therefore, option D is true.
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The current population of the Earth is estimated to be about 7,440,000,000 people. Express this number using scientific notation.
Answer:
7.44 × 10⁹
Step-by-step explanation:
You would take a decimal point from the last zero to in-between 7 and 4 and see how many places you moved it then write the scientific formula.
9 spaces so it would be 7.44 × 10⁹
The scientific notation of the current population of the Earth will be;
⇒ 7.44 × 10⁹
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The current population of the Earth is estimated to be about 7,440,000,000 people.
Now,
Since, The current population of the Earth = 7,440,000,000 people
Hence, The scientific notation of the current population of the Earth is written as;
⇒ 7,440,000,000
⇒ 7.44 × 10⁹
Thus, scientific notation of the current population of the Earth is,
⇒ 7.44 × 10⁹
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The table shows a dog’s weight over a 5-year period. Which graph could represent this data?
Answer:
A
Step-by-step explanation:
Answer:
top left
Step-by-step explanation:
Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is
PLEASE HELP ME!!!
hi, I need to send you a screenshot
Explain how you would graph the inequality: 3 ≤ x
Given : Explain how you would graph the inequality: 3 ≤ x .
Solution : Graph in attachment .
Answer:
When you are graphing the equation the line, theline on the graph is going to be vertical. Your line point will be ( 3, 0 ). Then there will be a shaded part of the graph on the right on of the line.
Pls help i'm lost il give brainly
Answer:
a= 16
b= -8
c= 6
d= -16
e= -4
Step-by-step explanation:
Answer:
Step-by-step explanation:
A= 16 degrees
B= -8 degrees
C= 6 degrees
D= -16 degrees
E= -4 degrees
If g(0) = -2, which representation could show function g?
A.
g(x) = 0
B.
C.
х
-3
0
6
-4
ол
23
g(x)
у.
D.
+ + +
Answer:
The answer is in the explanation
Step-by-step explanation:
This question didn't provide much information to begin with. But since I got the same question as well, I'll help.
First off, we're given g(0) = -2.
Looking from the choices we're given, we're most likely going to have to choose an answer that makes most sense.
'g(x) = 0' doesn't make sense with this function because in 'g(0) = -2' we can see the our y-intercept is -2, not 0.
Another answer we're given is a table. Looking at the data, it doesn't match with the equation we're given.
Another answer choice we're given are multiple points that form a linear function. The points on the graph, however, don't match with 'g(0) = -2. Considering this is graph is showing a linear line, the point that would go with the function 'g(0) = -2 is (-2,0). In this answer choice, we don't see a point at either options.
This leaves us with the graph that displays a exponential line. We can however, see that there's a point that does match with this equation. That point is (0,-2). Considering this graph is showing an exponential line, one of the points for our function 'g(0) = -2' would be (0,-2).
- 2021 Edmentum
Here it is sry and thx!
Answer:
B
Step-by-step explanation:
hard to explain xD
Answer:
#2
Step-by-step explanation:
1x60+45=105
2x60+45=165
3x60+45=225
4x60+45=285
Look at the image for the question:
9514 1404 393
Answer:
te, tm, (m-e), t
Step-by-step explanation:
The problem statement tells you how to interpret the expressions and their parts.
Swap the top two expressions on the right and the list will be in the appropriate order:
tetmm-et