Answer:
Between 79.2 and 84.8.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 82, standard deviation of 2.8.
In what range would you expect to find the FBG of 68% of your study participants?
By the Empirical Rule, within 1 standard deviation of the mean, so:
82 - 2.8 = 79.2
82 + 2.8 = 84.8
Between 79.2 and 84.8.
Plz help I need this last question
Step-by-step explanation:
[tex]v = \frac{\pi r {}^{2}h }{3} [/tex]
[tex]3v = \pi {r}^{2} h[/tex]
[tex] \frac{3v}{\pi h} = {r}^{2} [/tex]
[tex] \sqrt{ \frac{3v}{\pi h} } = r[/tex]
PLEASE HELP ILL GIVE BRAINLIEST !!!!
Answer:
y=3x-2
Step-by-step explanation:
The slope of the equation is (-2-(-5))/(0-(-1))=3. The y intercept is - 2. So y=3x-2
n rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=11, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.
*see attachment for clearer diagram
Answer:
16.5
Step-by-step explanation:
BC = 11
AB = 3
Area of the shaded region = area of ∆AEB + area of ∆CED
Area of a triangle is given as,
A = ½*base*height
Find the area of each triangle and add together
✔️Area of ∆AEB = ½*bh
Where,
base (b) = 3
height (h) = ½(BC) = ½(11) = 5.5
Area of ∆AEB = ½*3*5.5 = 8.25
✔️Area of ∆CED = ½*bh
Where,
b = 3
h = ½(BC) = ½(11) = 5.5
Area of ∆CED = ½*3*5.5 = 8.25
✅Area of the shaded region = area of ∆AEB + area of ∆CED
= 8.25 + 8.25
= 16.5
If the sum of two numbers is 4 and the sum of their squares minus three times their product is 76, find the numbers.
I'll be referring to each of these numbers as x and y.
x + y = 4
(x^2) + (y^2) - 3(x)(y) = 76
x = 4 - y
(4 - y)^2 + (y^2) - 3(4 - y)(y) = 76
(4 - y)(4 - y) + y^2 - (3y)(4 - y) = 76
16 - 4y - 4y + y^2 + y^2 - 12y + 3y^2 = 76
16 - 20y + 5y^2 = 76
5y^2 - 20y - 60 = 0
y^2 - 4y - 12y = 0
(y - 6)(y + 2) = 0
y = 6 or -2
x = 4 - 6 = -2
x = 4 - - 2 = 6
As you can see, we got the same numbers for both x and y, -2 and 6. Therefore, the two numbers are -2 and 6. But, we can check our work to ensure that the answer is correct.
x = -2
y = 6
6 - 2 = 4
4 = 4
(-2)^2 + (6^2) - 3(-2)(6) = 76
4 + 36 - 3(-12) = 76
40 + 36 = 76
76 = 76
Hope this helps!
Answer:
X and y = -2 or 6
Step-by-step explanation:
In a certain year Congress debated a bill. A poll of 1000 Americans indicated 401 opposed 293 favored 306 not sure. What is the probability that random person was in favor
How many real solutions does this system of equations have? x2 +3 = y
3х — у+1 = 0
Answer:
Step-by-step explanation:
y = x²+3
y = 3x+1
x² + 3 = 3x +1
x² - 3x + 2 = 0
(x-2)(x-1) = 0
x = 2, 1
Two solutions
(2,7) and (1,4)
The probability of A is 7/20, the probability of A intersection B is 49/400 what is the probability of B?
Answer:
n(A)+n(B)-49/400=n(AUB)
n(B)=1-7/20+49/400
n(B)=(400+49-140)/400
n(B)=309/400
Jasmine the Great Dane has a head 30 cm long. Her tall is equal to the size of her head plus one-half the size of her body. Her body is the size of her head phluss the tal. How long is Jasmine?
Answer:
240 cm
Step-by-step explanation:
Let x = tail y = body
x = 30 + 1/2y
y = 30 + x
Let's plug in the x equation at the bottom
y = 30 + 30 + 1/2y
y = 60 + 1/2y
Bring the like terms to one side
y = 60 + 1/2y
-1/2y -1/2y
1/2y = 60
Multiply both sides by 2 to get the length of the body
1/2y x 2 = 60 x 2
y = 120
Now we can plug in the new y into another equation, let's use the top one
x = 30 + 1/2(120)
x = 30 + 60
x = 90 = length of the tail
Add em all up
120 + 90 + 30 = 240
The length of a rectangle is 10 yd less than three times the width, and the area of the rectangle is 77 yd^2. Find the dimensions of the rectangle.
Answer:
width = 7, length = 11
Step-by-step explanation:
area = 77
length = 3w - 10
width = w
w(3w - 10) = 77
3w^2 - 10w - 77 = 0
(3w + 11)(w - 7) = 0
we rule out 3w + 11 = 0 because w would be negative
so we use w - 7 = 0
so the width = 7
length = 3w - 10
length = 21 - 10
length = 11
If f(x)=x-2 and g(x)=2x-6, then g(4)/f(3)
Answer:
2
Step-by-step explanation:
g(x) = 2x - 6
g(4) = 2*4 - 6
g(4) = 2
f(x) = x - 2
f(3) = 3 - 2
f(3) = 1
Thus g (4) / f (3) = 2 / 1 = 2
The value of the function g (4) / f (3) is 2.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We are given the function as;
f(x)=x-2 and g(x)=2x-6, then we need to find g(4)/f(3)
Therefore, g(x) = 2x - 6
g(4) = 2*4 - 6
g(4) = 2
Similalry,
f(x) = x - 2
f(3) = 3 - 2
f(3) = 1
Thus we have the value of function as
g (4) / f (3) = 2 / 1
g (4) / f (3) = 2
Learn more about function here:
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in the box of Stones ,the ratio of red marbles is 2:5. the ratio of green stones to the total stones is 3:10 .if the stones that are neither red nor green are blue ,how many blue are in the box.if there are 40 marbles in the box?.
find the equation of straight line passes through point (3,1) such that the intercept on y-axis exceeds that on the x- axis by 4.
Answer:
Step-by-step explanation:
Lesson 9.6: Steady-State Analysis.) Consider a particular data set of 100,000 stationary waiting times obtained from a large queueing system. Suppose your goal is to get a confidence interval for the unknown mean. Would you rather use (a) 50 batches of 2000 observations or (b) 10000 batches of 10 observations each?
Answer:
I would rather use:
(b) 10,000 batches of 10 observations each.
Step-by-step explanation:
It is easier to have 10,000 batches of 10 observations each than to have 50 batches of 2,000 observations. Human errors are reduced with fewer observations. For example, Hadoop, a framework used for storing and processing big data, relies on batch processing. Using batch processing that divides the 100,000 stationary waiting times into 10 observations with 10,000 batches each is more efficient than having 2,000 observations with 50 batches each.
A number increased by a% and decreased by 80% is 400. What is the number?
Answer:
[tex]x = \frac{2000 }{(\frac{a+100}{100})}[/tex]
updated response , given that you confirmed the question....
if the percent is the variable a% then ....
[tex]x*(\frac{a+100}{100}) = 2000[/tex]
[tex]x = \frac{2000 }{(\frac{a+100}{100})}[/tex]
I think that there is missing information here ....
you can make any number work here the result of the number being increased by the percent has to be 2000...
so if if the number is 1000 then the percent would be 100%
if you make the number 1500 then the percent would be 33 1/3 %
Step-by-step explanation:
The number is [tex]\frac{2000}{(1+\frac{a}{100})}[/tex]
What will be the new number when the original number is increased by a% and decreased by 80%?Let us assume that the number be x.
When the number x is increased by a% the new number will be,
[tex]x(1+\frac{a}{100})[/tex]
Now, this number is decreased by 80%. So, the new number will be,
[tex]x(1+\frac{a}{100})*(1-\frac{80}{100} )\\=x(1+\frac{a}{100})*(1-0.8 )\\=x(1+\frac{a}{100})*0.20[/tex]
By the given condition,
When x increased by a% and decreased by 80% it becomes 400
Therefore, we can write
[tex]x(1+\frac{a}{100})*0.20=400[/tex]
[tex]x(1+\frac{a}{100})=\frac{400}{0.20}[/tex]
[tex]x(1+\frac{a}{100})=2000[/tex]
[tex]x=\frac{2000}{(1+\frac{a}{100})}[/tex]
So, the number will be [tex]\frac{2000}{(1+\frac{a}{100})}[/tex].
Learn more about the percentage change of a number please follow: https://brainly.com/question/26527346
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What is the area of my lawn if it measures 4m x 4.5m
Answer:
18m squared
Step-by-step explanation:
4m x 4.5m = ?
HELLO PLEASE HELP ASAP
Answer:
5th degree monomial
Step-by-step explanation:
5 is the highest degree, thus 5th degree.
monomial because it is only 1 term, not three or more
Refer to this design web of a car manufacturer’s experiment. Which of the following statements are true? Check all that apply.
A confounding variable is the use of cruise control.
A confounding variable is the weather conditions.
A confounding variable is the participants’ reporting on their fuel efficiency.
There are no confounding variables in this experiment.
A confounding variable is the speed at which the participants drive on the course.
Answer:
2.3,5
Step-by-step explanation:
Both the 2nd and 3rd statement is true. Because of both statement is closely analyzed up during design process of automobile.
How do car manufacturers design cars?The process of creating the outside (and, to some degree, interior) of motor vehicles, such as cars, motorbikes, trucks, buses, coaches, and vans, is known as automotive design.Although a big team from many various disciplines, including automotive engineering, normally works on the functional design and development of a contemporary motor vehicle, design jobs are not always linked to educational requirements for professional- or chartered-engineer status. In this context, automotive design primarily focuses on improving the visual appeal or aesthetics of vehicles while also getting involved in the development of product concepts. Designers with degrees in industrial design or transportation design who have an artistic background often work in the field of automotive design professionally.Learn more about Automobile design refer :
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Geometry Identify the sides or angles that need to be congruent in order to make the given triangles congruent by AAS. Please help me!!!!!!!!!
Answer:
A. Sides AC and DF
B. Angles BAC and EDF
Answer:
Step-by-step explanation:
find the missing side. round your answer to the nearest tenth. PLEASE HURRY!
Answer:
44.8
Step-by-step explanation:
Using the Cosine formula, we first have Cos 48 = 30/x. So then we just solve for x and get 44.8342965, which rounds to 44.8
I hope this helped! :D
Hi I need help :( I can’t figure these out
Step-by-step explanation:
I do don't either ok wjshjddshsj
An unknown number becomes 30 when rounded to the nearest ten. Which could NOT be the unknown number?
A. 24
B. 25
C. 28
D. 31
Answer:
A. 24
Step-by-step explanation:
Five and above rounds up
so 25,26,27,28,29 rounds up to 30
We leave it alone when 4 or less
34,33,32,31,30 remains at 30
24 would not round to 30
The tree diagram represents an experiment consisting of two trials. P(c)=
Answer:
0.8
Step-by-step explanation:
To get to C, you must start by taking the lower of the first two branches
That has a probability of 0.4
C is the branch on your right and has a probability of 0.2
P(C) = 0.4 * 0.2 = 0.8
Answer:
.26
Step-by-step explanation:
solve similar triangles (advanced)
solve for x
Answer:
27/2 =x
Step-by-step explanation:
We can write a ratio to solve
3 2
----- = ---------
3+x 11
Using cross products
3*11 = 2(3+x)
33 = 6+2x
Subtract 6 from each side
33-6 = 6+2x-6
27 = 2x
27/2 = 2x/2
27/2 =x
How much state tax is withheld from $36,200 if the tax rate is 4%?
Answer:
$1448
Step-by-step explanation:
Tax=rate*amount=(4/100)*36200=1448
A hot air balloon descends 200 feet per
minute from an altitude of 1000 feet. Write a expression
The polynomial P is graphed.
5+
P
4+
3
→
-3
-2
-1
1
-2+
-3+
-4-
What is the remainder when P(x) is divided by (x + 2)?
Answer:
-4
Step-by-step explanation:
The remainder when P(x) is divided by (x + 2) is P(-2) which is - 4
Find all solutions of the equation in the interval [0, 2pi).
4 cosx =-sin^2x+1
Write your answer in radians in terms of pi.
If there is more than one solution, separate them with commas.
Answer:
543
Step-by-step explanation:
. A ride at a county fair spins in a circle of radius (in meters). The centripetal force experienced by one of the passengers on the ride is modeled by the equation below, where is the number of seconds the ride takes to complete one revolution and is the mass (in kilograms) of the passenger. Tom, whose mass is kilograms is on a ride that is spinning in a circle at a rate of seconds per revolution. The radius of the circle is meters. Letting , how much centripetal force does Tom experience
Answer:
150 Newtons
Step-by-step explanation:
Given
[tex]t = \sqrt{\frac{4\pi^2mr}{F}}[/tex]
[tex]t = 12[/tex]
[tex]r =6.5[/tex]
[tex]\pi = 3.14[/tex]
[tex]m = 84.4[/tex]
See attachment
Required
Find F
We have:
[tex]t = \sqrt{\frac{4\pi^2mr}{F}}[/tex]
Square both sides
[tex]t^2 = \frac{4\pi^2mr}{F}[/tex]
Multiply both sides by F
[tex]Ft^2 = 4\pi^2mr[/tex]
Divide both sides by [tex]t^2[/tex]
[tex]F = \frac{4\pi^2mr}{t^2}[/tex]
Substitute known values
[tex]F = \frac{4*3.14^2*84.4*6.5}{12^2}[/tex]
[tex]F = \frac{21635.90624}{144}[/tex]
[tex]F = 150.249348889[/tex]
[tex]F = 150N[/tex]
find the surface area of the prism
Answer:
Base area=5*12=60
Height is 4
Perimeter or the base is 2*(12+5)=34
Surface area is 2B+Ph=120+136=256
find the first quartile form the following data 73,58,39,46,61,52,32
Answer:
----------------------------
quartile first = 73
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