Answer:
89.263 m I couldn't remember the easist way of doing this type of summation problem. I used brute force. a spread sheet would have been quicker
Step-by-step explanation: 6 17 22 16
Event Formula Calculation Running Summation
1 20 20 20
2 20(4/5) 16 36
3 20(4/5)(4/5) 12.8 48.8
4 20(4/5)(4/5)(4/5) 10.24 59.04
5 20(4/5)^4 8.192 67.232
6 20(4/5)^5 6.554 73.786
7 20(4/5)^6 5.453 79.028
8 20(4/5)^7 4.194 82.223
9 20(4/5)^8 3.355 86.578
10 20(4/5)^9 2.684 89.263
add the results from each swing
I got 89.263 meters
Inscribe a circle in a unit square and to r= 1000 random.
a. Suppose that 760 of those darts land in the circle.
b. What would our estimate be if we let n â oo and we applied the same ratio strategy?
Step-by-step explanation:
area of square = 1
area of a circle in square = [tex]\pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}[/tex]
bu estimate [tex]p^ = X/n = 760/1000 = 0.76
Therefore,
[tex]\frac{\pi }{4} \approx 0.76[/tex]
[tex]\pi \approx 0.76*4 =3.04[/tex]
b) if n tend to infinity
[tex]\pi will approach 3.14[/tex]
Answer:
uvfhmfa
Step-by-step explanation:
if a line with an angle of inclination 120⁰ and passes trough (√3,1),then what is the equation of a line
Answer:
The equation of a line, having inclination 120° with positive direction of x-axis, .of x-axis, which is at a distance of 3 units from the origin is. 1. See answer ... where α is the angle with the positive X-axis, made by the perpendicular line drawn Now, from equation the equation of the straight line will be.
Step-by-step explanation:
i need help pls it’s timedd!!!!
Answer:
5.
Step-by-step explanation:
If you were to rotate the triangle, you can apply Pythagoras Theorem.
Therefore,
a^2 = 12^2 - 13^2 (Note: a^2 = a squared)
a^2 = 144 - 169
a^2 = -25.
a = 5.
Not sure why its negative though im pretty sure its the right answer.
in BCD triangle :
DC^2 = BC^2 + BD^2
13^2 = 12^2 + BD^2
169 = 144 + BD^2
BD^2 = 169 - 144
BD^2 = 25
BD = 5
_______________________
In the other hand we have :
BD^2 = AB × BC
5^2 = AB × 12
AB = 25/12
________________________
Also we have :
AD^2 = AB × AC
AD^2 = 25/12 × ( 25/12 + 12 )
AD^2 = 25/12 × ( 25/12 + 144/12 )
AD^2 = 25/12 × 169/12
AD^2 = 25 × 169 / 12 × 12
AD^2 = 5 × 5 × 13 × 13 / 12 × 12
AD = 5 × 13 / 12
AD = 65 / 12
AD = 5.42
Thus the correct answer is option C
g The downtime per day for a computing facility has mean 4 hours and standard deviation 0.9 hour. What assumptions must be true to use the result of the central limit theorem to obtain a valid approximation for probabilities about the average daily downtime
Answer:
To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.
Avery's piggy bank has 300 nickels
Answer:
Step-by-step explanation:
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8. A bag contains 72 toffees. How many toffees can be stored in 122 such bags? Estimate the number of toffees to nearest tens.
9.The working of a metro station is controlled by 28 persons. Estimate the number of persons required to control the working of 88 such stations to the nearest tens.
Answer:
8.) 8,780 toffees can be stored in 122 such bags.
9.) 2,460 people are required to control the working of 88 such stations.
Step-by-step explanation:
QUESTION 8:
We know that there are 72 toffees per bag
So if we want to know how many toffees can be stored in 122 such bags:
72 x 122 = 8,784
ROUND IT TO THE NEAREST TENS:
Look at the digit to the right of the tens place: 8,784–>4. 4 and below means that the digit will be repkaced by 0 and the tens place remains the same.
So 8,784 rounded to tens is 8,780
Tye answer for question 9 is
2,460 (do the same thing)
Find x. Round to the nearest tenth: 29° 500ft
X=[?]ft
9514 1404 393
Answer:
437.3 ft
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(29°) = x/(500 ft)
x = (500 ft)cos(29°)
x ≈ 437.3 ft
please help with the steps thx
Answer:
amount financed: 47800
monthly payment: 454.97
FC: 6796.40
558390.76
198390.76
Step-by-step explanation:
1.)
the amount financed is the cost- amount paid today
61800-14000=47800
effective rate: .027/12=
assuming it's an annuity immediate...
x=payment
[tex]47800=x\frac{1-(1+.00225)^{-(10*12)}}{.00225}\\47800=105.0617517x\\x=454.97[/tex]
going to assume that the last part is asking for the interest
to find the interest do financed amount-total paid
454.97*10*12-47800=6796.4
2.)
Find the effective rate
.056/4=.014
assuming annuity immediate
[tex]6000\frac{(1+.014)^{15*4}-1}{.014}=558390.7595[/tex]
interest earned:
558390.7595-6000*60=198390.76
A scale model of a building has a scale of 3 : 79.
The height of the real building is 24 m.
Find the height of the scale model.
Give your answer in cm to 2 dp.
Answer:
The height of the scale model is of 91.14 cm.
Step-by-step explanation:
Scale problems are solved by proportions, using rule of three.
A scale model of a building has a scale of 3 : 79.
This means that 3m on the drawing represent 79m of real height.
The height of the real building is 24 m.
3m - 79m
xm - 24m
Applying cross multiplication
[tex]79x = 72[/tex]
[tex]x = \frac{72}{79}[/tex]
[tex]x = 0.9114[/tex]
In centimeters:
Multiplying by 100:
0.9114*100 = 91.14 cm.
The sum
of two consecutive
integers is 8,641.
What is the smallest integer?
Answer:
sim eu também preciso desta respota
PLS HELP! WILL GIVE BRAINLIEST IF CORRECT!
What is the value of P for the following triangular prism?
36 cm
48.5 cm
48 cm
36.5 cm
Answer:
36 cm
Step-by-step explanation:
if p is perimeter then 10+13+13=36 is the correct answer
Helpppp plsss I’m trying to get my grade up
This converts to the improper fraction 7/4
======================================================
Work Shown:
3/4 = 0.75
area of triangle on the left = base*height/2 = 0.75*2/2 = 0.75 sq ft
area of triangle on the right = base*height/2 = 1*2/2 = 1 sq ft
total area = 0.75+1 = 1.75 sq ft
This converts to the improper fraction 7/4 because
1.75 = 1 + 0.75
1.75 = 1 + 3/4
1.75 = 4/4 + 3/4
1.75 = (4+3)/4
1.75 = 7/4
Decide if the following probability is classical, empirical, or subjective.
You guess that there is a 30% chance that you will be assigned homework in your English class on Tuesday
Answer:
Subjective.
Step-by-step explanation:
Classical probability:
A classical probability is a probability based on a formal reasoning, for example, probability of getting heads/tails on a coin toss.
Empirical probability:
An empirical probability is the same as experimental probability, that is, suppose 7 out of 10 people you meet are Buffalo Bills fans, so the next person has a 7/10 = 0.7 = 70% probability of being a Buffalo Bills fan.
Subjective probability:
Probability of somthing happening based on "intuition", that is, based on the person's own experience. In this exercise, we have an example of subjective probability.
I need help in this task pls, says locate the following decimal numbers on the line...the one who helps me I give him points, about 70 points
Answer:
Listen to the explanation
Step-by-step explanation:
Each dash on the line represents .10 so for the first one where it says .28 it should be about-
|-----|-----|---●-|-----|-----|-----|-----|-----|-----|-----|
0. .10. .20 .30 40 .50. .60 .70 .80 .90 1.0
Do you get what I mean? Haha
Answer:
Assuming that the line goes from zero to one.
giải phương trình vi phân: y" - 5y' + 6y = 6x + 7
Неоднородное ДУ второго порядка. Детали в аттаче.
log (3x+5)=log (2x-7)
Answer:
x=-12 (BUT IS EXTRENUS)
Step-by-step explanation:
If u dont know what extraneous is, dont worry about it...
Nếu cắt mặt cầu bởi một mặt phẳng chiếu đứng thì hình chiếu bằng của giao tuyến là:
Answer:
Im sorry I can't understand you
At a price of per ticket, a musical theater group can fill every seat in the theater, which has a capacity of . For every additional dollar charged, the number of people buying tickets decreases by . What ticket price maximizes revenue? Revenue is maximized when the price is
Answer:
The appropriate answer is "$12".
Step-by-step explanation:
As per the question,
Price per ticket,
= [tex]4+k[/tex]
Number of people,
= [tex]1800-90k[/tex]
Now,
The revenue (R) will be:
= [tex]Price \ per \ ticket\times Number \ of \ people[/tex]
By putting the values, we get
= [tex](4+k) (1800-9k)[/tex]
= [tex]-90k^2+1440k+7200[/tex]
or,
⇒ [tex]R'=1440-180k=0[/tex]
⇒ [tex]180k=1440[/tex]
⇒ [tex]k=\frac{1440}{180}[/tex]
[tex]=8[/tex]
hence,
The ticket price will be:
= [tex]4+k[/tex]
= [tex]4+8[/tex]
= [tex]12[/tex] ($)
A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where What is the probability that at least 5 people attend the meeting given that at least 2 attend
Answer:
The probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where:
P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...
What is the probability that at least 5 people attend the meeting given that at least 2 attend?
The explanation of the answer is now provided as follows:
Given:
P(X = x) = 1 / 2^(x+1), for x = 0,1,2,... (1)
Since it is given that at least 2 attend, it implies that we need to calculate P(x) at x = 2.
Substituting x = 2 into equation (1), we have:
P(X = 2) = 1 / 2^(2 + 1)
P(X = 2) = 1 / 2^3
P(X = 2) = 1 / 8
P(X = 2) = 0.1250, or 12.50%
Therefore, is the probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.
ANYONE KNOW THE ANSWER TO THIS??
Answer:
x = 14 is your answer
Step-by-step explanation:
76 = 7x-22, so to figure it out, you first move -22 to the other side and get
76+22 = 7x.
add them together and you get 98 = 7x
7x would be your equation, so divide 98 by 7 and you get your solution
x = 14 is your answer
I need help please I dont understand
Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 4, vertex B is on ordered pair 7 and 2, and the vertex C is on ordered pair 1 and 2. (5 points) It is one-half the area of a square of side length 6 units. It is twice the area of a square of side length 6 units. It is one-half the area of a rectangle with sides 6 units × 2 units. It is twice the area of a rectangle with sides 6 units × width 2 units.
Answer:
It is one-half the area of a rectangle with sides 6 units × 2 units.
Step-by-step explanation:
Area of the triangke ABC = 6
Let X, Y, and Z be jointly continuous random variables. Assume that all conditional PDFS and expectations are well defined. E.g., when conditioning on X r, assume that x is such that fx (x)> 0. For the following formula, state whether it is true for all choices of the function g or false?
E[g(Y) | Y= x] = ∫g(y) fY| X(y|x) dy
Answer:
True
Step-by-step explanation:
Given that X,Y and Z are jointly continuous random variables
For : E [g(Y) | Y= x] = ∫g(y) fY| X ( y|x ) dy
For all choices of g the function is true given that g(y) = a random variable
A random variable is a variable with an unknown value it can be said to assign values to an experimental outcome.
3x-4=8 what is the value of X
Answer:
x = 4
Step-by-step explanation:
Given
3x - 4 = 8 ( add 4 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
What is the probability of rolling a number greater than 0 on a six-sided die? Someone pls help it’s urgent!!
Answer:
6/6=1
Step-by-step explanation:
There are six sides on a die and you have six total outcomes. Hope this helps! :)
There are 750 identical plastic chips numbered 1 through 750 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 627
Answer:
0.8358 = 83.58% probability of reaching into the box and randomly drawing a chip number that is smaller than 627
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
There are 750 identical plastic chips numbered 1 through 750 in a box
This means that [tex]a = 1, b = 750[/tex]
What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 627?
[tex]P(X < x) = \frac{627 - 1}{750 - 1} = 0.8358[/tex]
0.8358 = 83.58% probability of reaching into the box and randomly drawing a chip number that is smaller than 627
HELPPPPPPPPPPPPPPPP!!!
Which of the following is the product of the complex numbers below?
(6+ i)(2+91)
A. 3+56i
B. 3+52i
C. 21+56i
D. 21+52i
Answer:
It's answer is 93i +558....
how to solve 4 > 11 - x/3
Answer:
21 < x
Step-by-step explanation:
4 > 11 -x/3
Subtract 11 from both sides
4 - 11 > -x/3
-7 > -x/3
Multiply both sides by 3
-7*3 > -x
-21 > -x
Multiply both sides by (-1)
21 < x
When we are multiplying by negative, then inequality sign changes.
Two similar triangles are shown below:
Which two sets of angles are corresponding angles
Answer:
angle w and angle v; angle x and angle y (option 1)
Step-by-step explanation:
the little arc things are what tell you two angles are corresponding m
angles w and v both have two arc drawing things.
angle x and y have one
and the other angles that aren't labeled have three
I don’t get this at all
Answer:
0.21
Step-by-step explanation:
There's 21 kids with a cell phone and no tablet
so 21/100 = 0.21