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.
Select the correct answer. The velocity of a train relative to the ground is represented by the distance from A to B in the diagram. The velocity of a ball thrown inside the train at an angle of 66° relative to the train is represented by the distance from B to C. What is the distance from A to C (the velocity of the ball relative to the ground), correct to two decimal places? Assume that all the points in the diagram lie in the same plane. A. 21.14 m/s B. 18.03 m/s C. 17.20 m/s D. 15.00 m/s
A and C are separated by 21.14 miles. The right answer is A.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
The ratio of the object's distance travelled at a certain time is known as its velocity. As a vector quantity, the velocity requires both the magnitude and the direction.
Assuming that the distance from A to B in the diagram represents the train's speed in relation to the ground. The distance from B to C represents the velocity of a ball thrown inside a train at an angle of 66° to the train.
The following formula will be used to determine how far A is from C:
2×15×10×cos(180-66)=15²+10²-AC²
-300 cos 66=225+100-AC²
AC=√(325+300 cos 66)
AC = 21.17 m/s
As a result, A and C are separated by 21.14 miles. The right
To know more about trigonometry check:
https://brainly.com/question/29002217
#SPJ3
Which functions have removable discontinuities (holes)? Check all of the boxes that apply.
f(x)=x-1/x^2-1
f(x)=x^2-9/x^2+7x+12
f(x)=x^2+4x+4/x^2+2x-8
f(x)=x+7/x^2+5x-14
Answer:
A,B,D
Step-by-step explanation:
I just did it .
Answer:
It is correct, the answers are A, B and D.
Step-by-step explanation:
Edge 2021. Assignment.
Clara has 3 bottles of paint. She buys 5 more bottles of paint. If she uses 1/4 bottle of paint to paint a picture, how many similar paintings can she paint with all the paint?
ANSWER:
She has 3+5=8 bottles of paint. 1/4 bottle paints a picture.
8 divided by 1/4 = 32 paintings possible with all the paint
Answer:
32 Paintings
Step-by-step explanation:
8 Bottles 4 per one bottle so 8x4 =32
Hoped this helped.
Yolanda painted 2/5 of a wall in 40 minutes. If she keeps painting at the same rate, how much longer will it take her to finish painting the wall
Answer:
60 minutes
Step-by-step explanation:
She painted 2/5 of the wall.
She still needs to paint 3/5 of the wall.
3 is 50% more than 2, so 3/5 is 1.5 times 2/5, so it will take her 1.5 times the time it took so far.
1.5 * 40 minutes = 60 minutes.
Answer: 60 minutes
y = 2x - 4
y = - 2x + 8
Math
Answer:
(3,2)
Step-by-step explanation:
Since both equations are equal to each others.
2x-4=-2x+8
2x+2x=8+4
4x=12
x=3
Substitute x = 3 in any given equations but I will substitute in the first equation.
y = 2(3)-4
y = 6-4
y = 2
7.3 Times 10 to the power of two
Answer: the answer is 730
Step-by-step explanation:
Hope this helps you! Have a good day! :)
please help asap, i will mark as brainliest. please try to find the answer! asap
Anyone know how to do this
Answer:
ill help if u help with me with chemistry
Answer:
A: The conclusion is not valid. You must first be given that BC = AD
Step-by-step explanation:
Then again I could be Wrong. Math is not my strongest
The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?
Clumsy Carl is running a marathon. There are 3 dangerous areas on the course, and Clumsy Carl approximates
that he has a 50% chance of falling at each spot, independent of if he falls at the other spots.
The table below shows the total number of people that will see Carl fall based on how many times he falls.
What is the expected total number of people that will see Carl fall?
Round your answer to the nearest hundred.
Answer:600
Step-by-step explanation: Khan Academy
Jill invest $400 in a savings bond. The value of the bond V(x) in hundreds of dollars after x years is illustrated in the table below. Which equation and statement illustrate the approximate value of the bond in hundreds of dollars over time in years?
Answer:
V(x) = 4(1.35)x, and it grows.
Step-by-step explanation:
The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:
"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can use the given data points to approximate the relationship between the value of the bond and time by fitting a curve that best fits the points.
Based on the given data,
It seems that the value of the bond is increasing at an accelerating rate over time.
We can try to approximate this relationship by fitting a quadratic equation to the data.
Let's assume that the relationship between the value of the bond and time can be approximated by the quadratic equation:
V(x) = ax² + bx + c
where V(x) is the value of the bond in hundreds of dollars after x years, and a, b, and c are constants to be determined.
To solve for a, b, and c, we can use the three data points for which we have values of V(x):
V(0) = 4, V(1) = 5.4, V(2) = 7.29
Substituting these values into the equation.
a(0)² + b(0) + c = 4
a(1)² + b(1) + c = 5.4
a(2)² + b(2) + c = 7.29
Simplifying.
c = 4
a + b + c = 5.4
4a + 2b + c = 7.29
Substituting c = 4.
a + b = 1.4
4a + 2b = 3.29
Solving for a and b.
a = 0.725
b = 0.675
Now,
The equation that approximates the relationship between the value of the bond and time is:
V(x) = 0.725x² + 0.675x + 4
This equation tells us that the value of the bond is increasing at an accelerating rate over time, starting at $400 (or 4 hundred dollars) and increasing by approximately 0.725 hundred dollars for each year squared, plus 0.675 hundred dollars for each year, plus a constant 4 hundred dollars. For example, after 5 years, the value of the bond would be approximately:
V(5) = 0.725(5)² + 0.675(5) + 4 = 23.75
Therefore,
The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:
"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ3
Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10 T. (1.9)
-10
(0, 0)
10
-101
O A. y=-*
O B. y= 18x
O C. y=9x
O D. y= -18x
1
X
O E. y = 5
O F. y=-9x
SUBMIT
The equation of the line is y = 9x. The correct answer is C.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
the points of line are (1,9) and (0,0).
Now,
In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:
m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9
Then we can use the point-slope form with any of the given points. Let’s use (0, 0):
y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x
This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.
Therefore, the equation of the line will be y = 9x.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ7
Identify the 3D shape shown below. Choose 1 answer: A Cone B Cylinder © Sphere
Answer:
Cylinder
Step-by-step explanation:
A cone is a 3D triangle with a circular base, and a sphere is a 3D circle
Answer:
CYLIDER
Step-by-step explanation:
Owen runs 37 miles every 2 weeks. Enter the number of miles Owen runs in 12 weeks
Estimate 12.59 _ 7.68 to the nearest whole number
Answer:
13_8
Step-by-step explanation:
if the first number in the decimal is 5 or up then you round up if its 4 or less you round down meaning it would be 13 and 8
giving brainliest!!
pls answer correctly
Answer:
DISCLAIMER:I'M NOT REALLY GOOD AT MATH
Surface area=¶r squared.
¶=3.14
Radius=D/2
=10/2
5
therefore,3.14×5×5
=78.5
help me please!! thank you!! i’m so confused!!
Answer:
C 532 square feet
Step-by-step explanation:
We need to calculate the surface area of the storage shed. This includes the floor. I did the calculations without the floor and I got 434ft, which is not one of the answers.
Length = 14ft Width = 7ft Height = 8ft
The front and back of the shed both have dimensions of 14x8
The left and right sides of the shed have dimensions of 7x8
The roof and floor have the dimensions of 14x7
2(14 x 8) + 2(7 x 8) + 2(14 x 7)
2(112) + 2(56) + 2(98)
224 + 112 + 196
532 square feet
I hope this helps.
People enjoyed attending the concert in the park.
Twice as many men as women attended the concert.
If the total attendance was 714, how
many women
attended the concert?
Answer:
w = 238
Step-by-step explanation:
So create a system of equations if the number of m = 2w where the men's number is twice the women's number. and m + w = 714 so substitute 2w for m
2w + w = 714 so 3w = 714, divide both sides by 3, you get w = 238
What is -4^2 equal to?
Answer:
-16
Step-by-step explanation:
Negative four to the second power is equal to -4 x -4 which is -16
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
By rounding to 1 significant figure estimate the answer to the question of these questions. a) 346x904
b) 2451x988
c) 3203x7756
Which statement is always true?
The sum of two irrational numbers is rational.
The product of a rational and irrational number is rational.
The sum of two rational numbers is irrational.
The product of two rational numbers is
rational.
Help- this is also due tomorrow-
Answer:
46
Step-by-step explanation:
The perimeter of the figure below is 54.9 in. Find the length of the missing side.
5.9 in
5.9 in
?
7-3 in
7.3 in
7.3 in
7.3 in
7.3 in
(Note: diagram is NOT to scale)
please help me with this
Answer:
8 nights
Step-by-step explanation:
MATH
Write the equation of the line (in point-slope form) that passes through the point (3, -4) and has a slope of 6.
Answer:
y+4=6(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=6(x-3)
y+4=6(x-3)
Research studies show that the relationship between the tire pressure of a vehicle's tires and the life of the tires is
quadratic. The following table shows data for the tire pressure of a car's tires (in pounds per square inch) and its
average tire life (in thousands of miles)
Tire Pressure Tire Life
29
46.8
32
576
34
58.8
36
60.0
38
58.8
40
57.0
42
52.8
Use a graphing or online regression calculator to find the quadratic function of best fit for this set of data. Then predict
the tire life for this vehicle's tires given that the tire pressure is maintained at 30 psi (pounds per square inch)
47.800 miles
48.800 miles
Answer:
i dont know what is that explain that
Sand will be placed under the base of a circular pool with a diameter of 20 feet. 1 bag of sand covers about 6 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.
9514 1404 393
Answer:
53
Step-by-step explanation:
The area of the pool is ...
A = πr²
A = 3.14×(10 ft)² = 314 ft²
The number of bags of sand required is ...
(314 ft²)/(6 ft²/bag) ≈ 52.33 bags
53 bags of sand are needed.
Please help, its my homework and I really need this done
Answer:
Surface area of cylinder = 91.2π cm²
Volume of cylinder = 57.6π cm³
Step-by-step explanation:
Given:
Height of cylinder = 1.6 cm
Radius of cylinder = 6 cm
Find:
Surface area of cylinder
Volume of cylinder
Computation:
Surface area of cylinder = 2πr[h+r]
Surface area of cylinder = 2π(6)[1.6+6]
Surface area of cylinder = 2π(6)(7.6)
Surface area of cylinder = 91.2π cm²
Volume of cylinder = πr²h
Volume of cylinder = π(6)²(1.6)
Volume of cylinder = π(36)(1.6)
Volume of cylinder = 57.6π cm³
What is the solution for this equation?
A.X=2
B. X = 4
C. X=8
D. x = 12
The right side equals 12 so the left side needs to equal 12
Subtract the 4 circles:
12-4 = 8
There are 2 x’s so 8/2 = 4
X = 4
The answer is B. X = 4