the probability that a continuous random variable equals any of its values is
the probability that a continuous random variable equals any of its values is Zero.
This problem, we have been asked what is the probability of a continuous random variable being equal to any of its values, so the answer will be 0. The probability that a continuous random variable equals any of its values will be 0 point now.
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
To know more about Probability, visit: brainly.com/question/30034780
#SPJ4
Complete Question
The probability that a continuous random variable equals any of its value is?
a pole that is 2.8m tall casts a shadow that is 1.49m long. at the same time, a nearby building casts a shadow that is 37.5m long. how tall is the building? round your answer to the nearest meter.
The height of the building is 71 meters.
We can solve this problem using the similar triangles. The height of the building can be determined by setting up the following proportion:
(the height of pole) / (length of pole's shadow) = (height of building) / (length of building's shadow)
Substituting the given values:
2.8 / 1.49 = (height of building) / 37.5
To find the height of the building, we can cross-multiply and solve for it:
(2.8 * 37.5) / 1.49 = height of building
Calculating the expression on the right side:
(2.8 * 37.5) / 1.49 ≈ 70.7013
Rounding to the nearest meter, the height of the building is approximately 71 meters.
Learn more about heigth building at https://brainly.com/question/7289008
#SPJ11
How do you figure this out? I am having a hard time. The variables x and y are related to proportionally. When x = 8, y = 20. Find y when x = 80.
When x = 80, y
Answer:
200
Step-by-step explanation:
(80×20)/8
y is equal to 200
which of the following is the quotient of the rational expressions shown here?
Answer:
x^2 /(x^2 -36)
Step-by-step explanation:
x/(x-6) ÷ (x+6) /x
Copy dot flip
x/(x-6) * x/(x+6)
x^2/ ( x-6)(x+6)
This is the difference of squares( a-b)(a+b) = a^2 -b^2
x^2 /(x^2 -36)
Answer:
The answer is A.
Step-by-step explanation: how Is you cross-multiply the answer you (x^2)/X^2/-36
work :X*X=X^2
X*X=X^2
6*6=36=
X^2/X^2-36
Which of the following represents the diameter of the circle below?
Jayden's mother bought him the new PlayStation 5 Digital Edition for $420.15, including tax. She made him promise to pay her back in monthly installments. He made a down payment of $35.00 and paid the balance in 12 equal monthly payments. What was Jayden's monthly payment for this PlayStation 5?
A 32.10
B 35.01
C. 37.93
D 385.15
Answer:
A.32.10
Step-by-step explanation:
You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.
A donut shop wanted to determine the best price to sell its donuts. The manager of the shop gathered data from several donut shops in the city for the total cost, y, for different amounts of donuts, x. He created the following scatter plot with a line of fit.
scatter plot titled donut pricing with the x axis labeled number of donuts and the y axis labeled total cost in dollars, with points at 1 comma 1, 2 comma 2 and a half, 5 comma 5, 6 comma 5 and a half, 3 comma 2, 7 comma 7, 4 comma 4, 8 comma 5 and a half, 12 comma 10, 10 comma 9, 9 comma 9, and 8 comma 7, with a line passing through the coordinates 3 comma 3 and 8 comma 7
Find the slope of the line of fit and explain its meaning for the real-world situation.
The slope is 3 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.60.
The slope is 4 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.80.
The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.
The slope is 4 over 5, which means for each additional donut sold, the shop is predicted to earn $0.80.
Answer:
The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.
option c is correct
what is the probability that washing dishes tonight will take me between 15 and 16 minutes? give your answer accurate to two decimal places.
The probability of washing dishes by me tonight will take between 15 and 16 minutes is 14.29%.
The term "uniform distribution" refers to a type of probability distribution in which the likelihood of each potential result is equal.
Let's consider, the lower limit for this distribution as a and the upper limit for this distribution as b.
The following formula gives the likelihood that we will discover a value for X between c and d,
\(P(c\leq X\leq d)=\frac{d-c}{b-a}\)
Given the time it takes me to wash the dishes is 11 minutes and 18 minutes. From this, a = 11 and b = 18.
Then,
\(P(15\leq X\leq 16)=\frac{16-15}{18-11}=0.1429=14.29\%\)
The answer is 14.29%.
The complete question is -
The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 15 and 16 minutes?
To know more about uniform distribution:
https://brainly.com/question/17091893
#SPJ4
rms/d/e/1FAIpQLSÜDABFGIUJs31xO8JDRug2175ehNYt_F-yaPG7RkyQmW5_puw/viewform?hr_submission=Chki-
ara Sutton - Cla..
Clear selection
6 points
2. The seniors at our high school decided to play a prank on the principal
by completely filling his office with basketballs. To determine the number
of basketballs needed the students measured the room after moving out
the furniture. If the room measured 15 ft by 20 ft by 10 ft, approximately
how many basketballs did the students put in the principal's office? The
basketballs had a diameter of 9.2 inches. (Volume of sphere = (4/3)Nr3)
Answer:
12709 balls
Step-by-step explanation:
Given
Dimension of Room = 15 ft by 20 ft by 10 ft
Diameter of Ball = 9.2 inches
Required
Determine the number of balls that can be occupied by the room
First, we need to calculate the volume of the room
This is done by multiplying the dimensions of the room
\(Volume = 15ft * 20ft * 10ft\)
\(Volume = 3000ft^3\)
Next, we calculate the volume of the ball.
The ball is a sphere.
So:
\(Volume = \frac{4}{3}\pi r^3\)
Where
\(r = \frac{1}{2} * Diameter\)
\(r = \frac{1}{2} * 9.2\)
\(r = 4.6\ in\)
So:
\(Volume = \frac{4}{3}\ * \frac{22}{7} * (4.6in)^3\)
\(Volume = 407.88419\ in^3\)
To calculate the number of balls, we then divide the volume of the room by volume of a ball
\(Balls = \frac{3000\ ft^3}{407.88419\ in^3}\)
Convert ft^3 to in^3
\(Balls = \frac{3000 * 1728in^3}{407.88419\ in^3}\)
\(Balls = \frac{3000 * 1728}{407.88419}\)
\(Balls = \frac{5184000}{407.88419}\)
\(Balls = 12709.4899167\)
\(Balls = 12709\) -- approximated
Hence, the room will contain 12709 balls
AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
for such more question on measure of arc
https://brainly.com/question/25716982
#SPJ8
Cents
140
3
Minutes
3
1 1
Answer:
25
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
25
Step-by-step explanation:
PLEASE GIVE ME BRAINLEIST
HELP! 9 is what percent of 100 (need to show how I got my answer)
Answer:
9%
Step-by-step explanation:
We can start by changing this number to a fraction.
\(\frac{9}{100}\)
We know that 100 is a whole percentage
Therfore, we would get 9%
Find the volume. It’s a cilinder
6 in.
10 in
Answer:1130.97
Step-by-step explanation:
V=πr2h=π·62·10≈1130.97336
This is for today someone help me!!!!
Answer: HI HI HI HI HI
MNOP is trapezium. The distance between MN and PQ is 21cm and MN= 28cm, while PQ= 25cm. Find the area.
Answer:
556.5 cm²
Step-by-step explanation:
Area of trapezium :
Area = 1/2 (a + b)h
a = base length 1
b = base length 2
h = height
From the information given :
Distance between MN and PQ = Height, h = 21 cm
Base MN, a = 28 cm
Base PQ, b = 25 cm
Hence,
Area = 1/2 (28 + 25) * 21
Area = 1/2 (53) * 21
Area = 556.5 cm²
May I please have the correct answer please? I will give you whatever you want
a=12b+3 and a=-2b-4 using the equal values method
Answer:
12b+3=-2b-4
14b=-7
b=-1/2
Confirm?
-2(-1/2)-4 =-3
12(-1/2)+3=-3
↔AB and ↔BC form a right angle at point B. If A = (-3, -1) and B = (4, 4), what is the equation of ↔BC?
A. x + 3y = 16
B. 2x + y = 12
C. -7x − 5y = -48
D. 7x − 5y = 48
Answer:
your answer is C
Step-by-step explanation:
AB <--> and BC <--> form a right angle at point B. If A = (-3,-1 ) and B = (4,4 ), what is the equation of BC <-->?
Answer:
PLATO / EDMENTUM :)
Step-by-step explanation:
Find the measure of each interior angle
M
M
M
M
Answer:
Step-by-step explanation:
x+x+(2x+7)+(2x+5)=360
6x+12=360
6x=344
x=\(\frac{172}{3}\)
m∠R=m∠T=x=\(\frac{172}{3}\)
m∠S=2x+7=\(\frac{172*2+21}{3} =\frac{365}{3}\)
m∠Q=2x+5=\(\frac{172*2+15}{3}=\frac{359}{3}\)
Answer:
Step-by-step explanation:
x+x+(2x+7)+(2x+5)=360
6x+12=360
6x=344
x=
m∠R=m∠T=x=
m∠S=2x+7=
m∠Q=2x+5=
A figure has an area of 64 units2. Which
describes the area of the figure after a
dilation with a scale factor of ?
please help i will give 30 points
Answer:
30
Step-by-step explanation:
The area would have been 80*x=1600.
that means x=60. So, two pennant bases are 60.
That means one pennant base is 30.
OAN, OMB, APB and MPN are straight lines and AN = 20A.
M is the midpoint of OB.
OB = b
OA = a
AP = KAB where k is a scalar quantity.
Express AB and MN in terms of a and b.
Express MP in terms of a, b and k.
Finally, find the value of k.
A
y is inversely proportional to square of x when y=10 and x=3 find value of y when x=1/2
Answer:
y = 360
Step-by-step explanation:
Given y is inversely proportional to x² then the equation relating them is
y = \(\frac{k}{x^2}\) ← k is the constant of proportion
To find k use the condition y = 10 when x = 3 , then
10 = \(\frac{k}{3^2}\) = \(\frac{k}{9}\) ( multiply both sides by 9 )
90 = k
y = \(\frac{90}{x^2}\) ← equation of proportion
When x = \(\frac{1}{2}\) , then
y = \(\frac{90}{(\frac{1}{2})^2 }\) = \(\frac{90}{\frac{1}{4} }\) = 90 × 4 = 360
isabella recently opened her online candle shop, spectacular scents. her sales in the first week were $86. after advertising her new shop on social media, her sales increased by 20% the following week and continued to increase at that rate. what values of and would make the exponential equation that models isabella's weekly sales, , weeks after opening her shop true?
The exponential equation that models Isabella's weekly sales, S(w) in dollars, w weeks after opening her shop can be written as:
S(w) = ab^w; where a is the initial sales in the first week, and b is the rate of increase per week as a decimal.
We know that her sales in the first week were $86, so a = 86. And we also know that her sales increased by 20% the following week, so her sales in the second week were 1.2 times her sales in the first week, or 1.2 x 86 = $103.2.
To find b, we can use the fact that her sales continued to increase at the same rate each week. That means that the ratio of her sales in any two consecutive weeks is the same. So we have:
S(w+1)/S(w) = 1 + b
103.2/86 = 1 + b
b = 0.2
So the exponential equation that models Isabella's weekly sales is:
S(w) = 86 x 1.2^w
Therefore, the equation S(w) = 86 x 1.2^w will give the sales in dollars for any number of weeks w after Isabella opened her shop.
To know more about exponential equation refer here:
https://brainly.com/question/29506679
#SPJ11
I kinda need help : /
Answer:
24 square units
Step-by-step explanation:
There are a couple of ways you can figure the area of the frame:
subtract the inner area from the outer areamultiply the width of the frame by the length of its centerline__
SubtractThe dimensions of the outer rectangle are twice the frame width plus the dimensions of the inner rectangle. That makes them 8 wide by 6 high. Then the difference of areas is ...
A = (8)(6) -(6)(4) = 48 -24 = 24 . . . . square units frame area
__
Width by LengthThe centerline of the frame is a rectangle with 1 unit greater length and width than the inner rectangle. It is 7 units by 5 units, so will have a perimeter of ...
P = 2(L+W) = 2(7+5) = 24 . . . . units
Then the area of the frame is this length multiplied by the width of the frame:
A = (24)(1) = 24 . . . . square units frame area
a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 411 gram setting. based on a 19 bag sample where the mean is 437 grams and the varicance is 441, is there sufficent evidence at the 0.025 level that the bags are underfilled?
Using the Hypothesis testing and statistic Z- test we , find that the bag sample is not underfilled at a significance level of 0.025 i.e., 25% .
In the given question, we shall check the bag is underfilled at given level or not .
We can use the hypothesis testing, The Null and Alternative hypothesis are given as below :
H₀ : u = 411 : the bags are not underfilled
Hₜ : u < 411 : the bags are underfilled
Check it now using statistic Z-test and the test Statistic formula is given by
= ( M – u ) / S.D / √n , where M = mean of sample and S.D = standard deviations n is the number of bags used .
From given data we get, n= 19 ; M = 437 ; S.D = √ variance = √ 441 = 21
Including all of the above variables in formula
Z = (437-411)/21/√19
= 26/21/√19
= 5.395
This is right -tail test in statistic Z -test
P- value = 1 – 0.9999 = 0.111 ( by using Z-table or P-value for Z in Excel )
The sufficient evidence level is 0.025 i.e., alpha (α) = 0.025
P- value >α , this implies that Null hypothesis is not Rejected .
There is sufficient evidence to suggest that bag is not underfilled.
To learn more about Hypothesis testing, refer:
https://brainly.com/question/580970
#SPJ4
Question 7 of 25
The coefficients corresponding to k = 0, 1, 2, ..., 4 in the expansion of (x + y)²
are
A. 1, 4, 6, 4, 1
B. 0, 1, 4, 6, 4, 1,0
C. 0, 4, 6, 4, 0
D. 1,4,6,6,4,1
Answer:
A. 1, 4, 6, 4, 1
Step-by-step explanation:
Method 1Binomial Series
\(\displaystyle (a+b)^n=a^n+\binom{n}{1}a^{n-1}b^1+\binom{n}{2}a^{n-2}b^2+...+\binom{n}{r}a^{n-r}b^r+...+b^n\\\\\\\textsf{Where }\displaystyle \binom{n}{r} \: = \:^{n}\text{C}_{r} = \frac{n!}{r!(n-r)!}\)
Given expansion:
\((x + y)^4\)
Therefore:
a = xb = yn = 4Substitute these values into the Binomial Series formula:
\(\implies \displaystyle (x+y)^4=x^4+\binom{4}{1}x^{4-1}y^1+\binom{4}{2}x^{4-2}y^2+\binom{4}{3}x^{4-3}y^3+\binom{4}{4}x^{4-4}y^4\)
\(\implies \displaystyle (x+y)^4=x^4+\binom{4}{1}x^{3}y+\binom{4}{2}x^{2}y^2+\binom{4}{3}xy^3+\binom{4}{4}y^4\)
\(\implies \displaystyle (x+y)^4=x^4+\frac{4!}{1!(4-1)!}x^{3}y+\frac{4!}{2!(4-2)!}x^{2}y^2+\frac{4!}{3!(4-3)!}xy^3+\frac{4!}{4!(4-4)!}y^4\)
\(\implies \displaystyle (x+y)^4=x^4+\frac{4!}{1!3!}x^{3}y+\frac{4!}{2!2!}x^{2}y^2+\frac{4!}{3!1!}xy^3+\frac{4!}{4!0!}y^4\)
\(\implies \displaystyle (x+y)^4=x^4+4x^{3}y+6x^{2}y^2+4xy^3+y^4\)
Therefore, the coefficients corresponding to the terms of the expansion are:
1, 4, 6, 4, 1Method 2\(\boxed{\begin{minipage}{5cm} \underline{Binomial Theorem}\\\\$\displaystyle (a+b)^n=\sum^{n}_{k=0}\binom{n}{k} a^{n-k}b^{k}$\\\\\\where \displaystyle \binom{n}{k} = \frac{n!}{k!(n-k)!}\\\end{minipage}}\)
Given expansion:
\((x + y)^4\)
Therefore:
a = xb = yn = 4Substitute these values into the Binomial Theorem formula:
\(\displaystyle (x+y)^4=\sum^{4}_{k=0}\binom{4}{k} x^{4-k}y^{k}\)
The coefficient of each term is given by:
\(\displaystyle \binom{4}{k} = \frac{4!}{k!(4-k)!}\)
Therefore, to find the coefficients of the terms of the expansion, substitute k = 0 through 5 into the coefficient formula:
\(k=0 \implies \displaystyle \binom{4}{0} = \frac{4!}{0!(4-0)!}=1\)
\(k=1 \implies \displaystyle \binom{4}{1} = \frac{4!}{1!(4-1)!}=4\)
\(k=2 \implies \displaystyle \binom{4}{2} = \frac{4!}{2!(4-2)!}=6\)
\(k=3 \implies \displaystyle \binom{4}{3} = \frac{4!}{3!(4-3)!}=4\)
\(k=4 \implies \displaystyle \binom{4}{4} = \frac{4!}{4!(4-4)!}=1\)
Therefore, the coefficients corresponding to the terms of the expansion are:
1, 4, 6, 4, 1Find the length of the unknown side. Round your answer to the nearest whole number.
A. 7 inches
B. 10 inches
C. 25 inches
D. 50 inches
Answer:
d. 50
Step-by-step explanation:
5² + 5² = 50
I hope this helps!
I need help with this . short and easy response please
Which ordered pair is a solution of the inequality y≤1/3x−6
The ordered pair of the inequality will be (9,-3).
What is inequality?The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.
Given that inequality is given as y ≤ 1/3x−6.
The ordered pair can be calculated as:-
y ≤ 1/3x−6
Substitute the value of x equal to 9 and get the value of y,
y ≤ 1/3(9) - 6
y ≤ 3 - 6
y ≤ -3
Hence, the ordered pair will be (9,-3).
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ9