What is the likelihood that a point chosen inside the square will also be inside the circle ?It Chose one : A. is impossible ,B. it is unlikely, C it is likely D. it is certain
Answers
Answer:
C. It is likely
Step-by-step explanation:
Given
See attachment for diagram
For the square.
Let
[tex]Length = L[/tex]
So, the area is:
[tex]Area = Length^2[/tex]
[tex]A_1=L^2[/tex]
The side length of the square equals the diameter of the circle.
So:
[tex]diameter (d) = L[/tex]
The radius is:
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2}L[/tex]
The area is:
[tex]Area = \pi r^2[/tex]
[tex]A_2 = \pi * (\frac{1}{2}L)^2[/tex]
[tex]A_2 = \pi * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{7} * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{28} L^2[/tex]
The likelihood that a point will be common to the square and the circle is:
[tex]Pr = \frac{A_2}{A_1}[/tex]
[tex]Pr = \frac{\frac{22}{28} L^2}{L^2}[/tex]
[tex]Pr = \frac{22}{28}[/tex]
[tex]Pr = 78.57\%[/tex]
The above probability is greater than 50% but less than 100%.
Hence, it is likely
Answer:
C. Likely
Step-by-step explanation:
all the points are in the circle so it's likely to choose a point inside the circle
Related Questions
The graph of f(x) = -2^2 was transformed to create g(x) = -(x+3)^2. Which of these describes the transformation from the graph of f to the graph of g
Answers
PLEASE HELP ME WITH THIS I NEED IT DONE I'LL GIVE BRAINLIEST!!!!!!
PLEASE DONT SEND ME FILES OR LINKS. NO INCORRECT ANSWERS!!
Answers
Answer:
Correct answer A
Step-by-step explanation:
40% model cars of 45 models is 18 model cars (the rest is model airplanes)
45-18 =27
27 model airplanes
The line plot below shows the lengths of bolts Mr. Slivka found in his drawer.
He needs 16 bolts that are longer than 1 inch for a project he is working on.
Does he have enough bolts for his project?
A line plot named
A.
Yes. There are 16 bolts that have lengths greater than 1 inch, which is just enough.
B.
Yes. There are 18 bolts that have lengths greater than 1 inch, which is more than enough.
C.
No. There are only 3 bolts with lengths greater than 1 inch, which is not enough.
D.
No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Answers
Answer:
D.)
No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Step-by-step explanation:
Based on information provided by the dot plot above, we can deduce that the number of bta longer Than 1 inch are those with length ; 1 1/8, 1 3/8, 1 4/8
Counting the number of these bolts :
1 1/8 = 5 bolts
1 3/8 = 3 bolts
1 4/8 = 4 bolts
Hence, total number of bolts longer Than 1 inch :
(5 + 3 + 4). = 12 bolts
The number of bolts longer than 1 inch is 16. Therefore, he does not have enough bolt for the project.
The blue figure is a dilation of the red figure. Identify the type of dilation and find the scale factor.
The dilation is
an enlargement
.
Question 2
The scale factor is
.
Answers
The dilation is
an enlargement
.
Question 2
The scale factor is
.
simplify the expression 10+7x-5+4x
Answers
Answer:
11x + 5
Step-by-step explanation:
To simply, just combine like terms.
10 + 7x - 5 + 4x
[Add 7x and 4x]
↓
11x + 10 - 5
[Subtract 5 from 10]
↓
11x + 5
The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. (a) What is the probability that more than three aircraft arrive within an hour? (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals?(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.10.
Answers
Answer:
(a) The probability that more than three arrive in one hour is approximately 0.018988
(b) The probability that no interval contains more than 3 arrivals in 30 separate one-hour intervals is approximately 0.56264
(c) The length of time such that the probability of no arrival is 0.1 is approximately 2.30259 hours
Step-by-step explanation:
The distribution of the arrival time of a small aircraft = Exponential distribution
The mean arrival time, μ = 1 hour
The pdf of a exponential distribution, f(x) = λ·e^(-λ·x)
The mean, μ = 1/λ
∴ 1 = 1/λ
λ = 1 hour
∴ For the exponential distribution, f(x) = 1·e^(-x)
(a) The Poisson probability is given as follows;
[tex]P(X = k) = \dfrac{\lambda^k \times e^{-k}}{k!}[/tex]
The probability for more than 3 is given as follows;
[tex]P(X > 3) = 1 - \dfrac{1^0 \times e^{-1}}{0!} - \dfrac{1^1 \times e^{-1}}{1!} - \dfrac{1^2 \times e^{-1}}{2!} - \dfrac{1^3 \times e^{-1}}{3!} \approx 0.018988[/tex]
(b) P(X ≤ 3) for 30 1 hour intervals = P(X ≤ 3)³⁰ = (1 - 0.018988)³⁰ ≈ 0.56264
(c) When the probability that no arrival occurs is 0.1, we have;
0.1 P(X > x) = f(x) = 1·e^(-x) = e^(-x)
-x·ln(e) = ln(0.1)
∴ x = -㏑(0.1) ≈ 2.30259
The length of time such that the probability that no arrival occur during the interval is 0.1, x ≈ 2.30259 hours.
add all these numbers together im too lazy to
Answers
Answer:
874
Step-by-step explanation:
702 is correct
quick mathz
A stepladder has an angle of elevation of 60° with the front of the house. The length of the stepladder is 24 feet. At what height does the stepladder meet the house?
Answers
Answer:
20.78 feets
Step-by-step explanation:
Based on the solution diagram attached below :
The height at which the step ladder meets the house can be obtained thus :
Using trigonometry :
Sin θ = opposite / hypotenus
Sin θ = h / 24
Sin 60 = h / 24
0.8660254 = h/24
Height, h = 0.8660254 * 24
Height, h = 20.78 feets
Mrs. Ortiz measured the outside temperature at noon as -2°F. Later that
day, she measured the temperature as -5°F. Write an inequality that
correctly compares -2 and -5. Then explain the meaning of the inequality
for the situation. 6.NS.7, 6.NS.7b
Answers
Answer:
-2°F>-5°F
Step-by-step explanation:
-2°F is greater than -5°F
This also means the first time Mrs. Ortiz measured the outside tempurature it was hotter than the second time she measured it.
find y=0... this x intercept is zero
Answers
Is this a function? Why or why not?
Answers
What is the best estimate for 42% of 68?
Answers
Answer:
29 when rounded up 27 when rounded down and 28.56 in genral
Step-by-step explanation:
Answer:
28 or 30
Step-by-step explanation:
42 to 40 and 68 to 70 then
hope this helps :b
Find the value of f(7)
Answers
Answer:
f(7) = - 5
Step-by-step explanation:
Locate x = 7 on the x- axis, go vertically down to meet the graph at (7, - 5 )
Then the value of f(7) = - 5
please help!! this is due today!! (number 5)
Answers
Second one going / this way is y=-1x-1
to classify
ons.
Classify the system of equations.
– x=2-y
1 + y = 3x + 0
Click on the correct answer.
in slope-
intersecting
y-intersects.
2
parallel
coincident
Answers
Answer:
The system of linear equations consist of parallel lines
Step-by-step explanation:
Here, we want to classify the system of linear equations
Firstly, let us write both in the standard forms
For the first;
y = 3x + 2
For the second;
y = 3x-1
The general form of a linear equation is;
y = mx + b
where m is the slope and b is the y-intercept
In both cases, m = 3 and that means the slope is the same
When two lines have same slope values, they are said to be parallel to each other
it's all on the picture
Answers
Answer:
y = 54
Step-by-step explanation:
45 = y - 9
+9 +9
54 = y
y= 54
please please please help me do not get this
Answers
Answer:
4
Step-by-step explanation:
PLZ HELP DUE TODAY NO LINKS I WILL REPORT!!!
Answers
Answer:
452.16 in^2
Step-by-step explanation:
multiply 12 times 12
then multiply that number by Pi(3.14)
The perimeter of a rectangular horse pasture is
38 meters. The length is 5 meters more than its
width. What is the width of the pasture?
Answers
Answer:
W = 7
Step-by-step explanation:
All of my points to these "simple" questions
Answers
Answer:
x = 66°
∠MON = 57°
x = 13°
Step-by-step explanation:
To tired to explain, just take my word for it...
Answer:
1.
X=66
2.
57
3.
13
Step-by-step explanation:
Good luck .
The answer of the question
Answers
Answer:
123cm
Step-by-step explanation:
becuse
[tex]=59(F−32)[/tex]
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59
A degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answers
Answer:
Think of the equation as an equation for a line y = m x + b where in this case C = 5 9 ( F − 32 ) or C = 5 9 F − 5 9 ( 32 ) You can see the slope of the graph is 5 9 , which means that for an increase of 1 degree Fahrenheit, the increase is 5 9 of 1 degree Celsius. C = 5 9 ( F ) C = 5 9 ( 1 ) = 5 9 Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9 5 degrees Fahrenheit. C = 5 9 ( F ) 1 = 5 9 ( F ) ( F ) = 9 5 Since 9 5 = 1.8, statement II is true. The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5 9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true: C = 5 9 ( F ) C = 5 9 ( 5 9 ) C = 25 81 ( which is ≠ 1 ) An increase of 5 9 degree Fahrenheit leads to an increase of 25 81 , not 1 degree, Celsius, and so Statement III is not true. The final answer is D.
11.68 - 0.48 ÷ (-1.6) =
need help I need a way to solve this problem
Answers
Step-by-step explanation:
11.68-0.48
= 11.20
11.20÷1.6
= 7.0 or 7
ahh this is the correct answer.
so if it helps don't forget to like and Mark me.
find the measure of the angle
Answers
Answer:
95
Step-by-step explanation:
Answer:
95°
Step-by-step explanation:
it is five away from 90° so 95°
Give Brainllest plz
The hot tub is shaped like a rectangular prism. It is 7 feet long, 3 1/4 feet deep, and has a volume of 159 1/4 cubic feet. What is the width of the hot tub?
Answers
Answer:
w = 7 feet
Step-by-step explanation:
Volume of a rectangle prism = length × width × height
Length = 7 feet
Width = ?
Height = 3 1/4 feet
Volume = 159 1/4 cubic feet
Volume of a rectangle prism = length × width × height
159 1/4 = 7 × w × 3 1/4
637/4 = 7 × w × 13/4
637/4 = 7 × 13/4 × w
637/4 = 91/4w
w = 637/4 ÷ 91/4
= 637/4 × 4/91
= 637*4 / 4*91
= 2548 / 364
w = 7 feet
The vertices of AABC have coordinates A(-2, -1), B (10,-1), C (4,4). State the
area of AABC.
HELP ASAP
Answers
Answer:30
Step-by-step explanation:
A running track has a straight stretch that measures 200m at the ends there are
semicircles with a radius of 16m. What is the distance of the running track?
Answers
Answer:
300.57 m
Step-by-step explanation:
Solve each system of equation Y=x+12 y=-18
Answers
Have a great day!
OK you look like your going through a tuff time, the cold harden truth is that you have no choice but to live with it. Listen closely life is not all about being with somebody you have to work hard for your goals. God gave you a road to walk down, Not for somebody else to walk down with you therefore YOU walk down that road and that road has alot of choices all the way to a through z.. You choice your choices in life no buddy else. Its all on you. somebody wants to break up with you then let it be THEY walked out the door before the party had started not you. You live your own life and dont let anybody tell you other wise. Have a good day its you choice not anybody elses be wise with you choices tho it will effect your future and ppl around you. (:
Im finna get band after this lol
Answers
Answer:
ok
Step-by-step explanation:
b) 1325 + 13 long division
Answers
Answer:
1325 divided by 13 is 101.92 rounded to the nearest hundredth
Step-by-step explanation:
I'm not sure what the question is asking though.
