Using the Empirical Rule, it is found that the percentage within 3 standard deviations of the mean in the Normal distribution is given by:
c. 99.7%.
What does the Empirical Rule state?It 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.Hence, option C is correct.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
#SPJ1
Rewrite the function by completing the square.
g(x)=4x^2-16x+7
g(x)=___(x+___)^2+__
Answer:
[tex]g(x) = 4(x - 2)^2 -9[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 4x^2 - 16x + 7[/tex]
Required
Complete the square
Rewrite so that [tex]x^2[/tex] has 1 coefficient
[tex]g(x) = 4(x^2 - 4x) + 7[/tex]
Take half of the coefficient of x
[tex]\frac{4}{2} = 2[/tex]
Square the result
[tex](\frac{4}{2})^2 = 2^2[/tex]
[tex](\frac{4}{2})^2 = 4[/tex]
Add and subtract the result in the bracket
[tex]g(x) = 4(x^2 - 4x + 4 - 4) + 7[/tex]
Expand the bracket to remove -4
[tex]g(x) = 4(x^2 - 4x + 4) - 16 + 7[/tex]
[tex]g(x) = 4(x^2 - 4x + 4) -9[/tex]
Expand the bracket
[tex]g(x) = 4(x^2 - 2x -2x+ 4) -9[/tex]
Factorize
[tex]g(x) = 4(x(x - 2) -2(x-2)) -9[/tex]
Factor out x - 2
[tex]g(x) = 4((x - 2)(x-2)) -9[/tex]
Express as square
[tex]g(x) = 4(x - 2)^2 -9[/tex]
PLEASE HELP
How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.
Answer:
p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original. More
Answer:
The perimeter will be 10 times the original.
Step-by-step explanation:
Please answer, no links please.
Answer:
what you need help with? there is no picture or question
Step-by-step explanation:
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
Lorenzo has a package that weighs 2 pounds. He wants to check The weight of the package on a scale, but he only has weights that are measured in ounces. Drag the weight into the box that will balance the scale. Each weight can be used once or not at all.
Answer:
32 ounces
Step-by-step explanation:
1 pound = 16 ounces
2 pounds = 16 x 2 = 32 ounces
PLZ HELP IM ON A TIMER ALL THE ANSWERS IS ON THE SCREEN SHOT :{{{ plz hurry
Answer:
A) -10 + (-10)
Step-by-step explanation:
help me plsssss i rlly need helppppp i'll give brainliestttt
30.16 = 17.56 + 5x what is x
Answer:
x = 2.52
feel free to hit the crown
Answer:
2.52
Step-by-step explanation:
30.16 - 17.56 = 12.6
12.6 / 5 = 2.52
To verify if you plug it in, 30.16 = 17.56 + 5(2.52)
I hope it helped :)
Please solve these, I thank you my friends
Write and solve an equation to find the value of x
Answer:
180 - (52 + 28) = x and then x = 100.
Step-by-step explanation:
A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.
The equation we used to find that is: 180 - (52 + 28) = x.
52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.
HELPPPOOPOPPPP!!!! PLEASE
The answer is....................................................
Answer each question. Explain the method you chose to solve each problem. For
example, changing the percent to a fraction, changing the percent to a decimal or
inverse (switching the percent and number).
1. How long is 50% of 75 minutes?
I
2. How long is 20% of 60 minutes?
3. How long is 75% of 60 minutes?
Answer:
1. 37.5 (70*0.50)
2. 12 (60*0.20)
3. 45 (60*0.75)
Step-by-step explanation:
m * p
(percentage in decimal form)
I NEED THE ANSWER IN THE NEXT MINUTE
Answer:
BD is a diameter
Step-by-step explanation:
What is the BALANCE POINT for this set of data? Type the NUMBER ONLY. :)
Answer:
The answer is "36".
Step-by-step explanation:
Please find the complete question in the attached file.
Select all expressions that are equivalent to −4(+2)−2+4
A) −6−4
B) −4+2−2+4
C) −10
D) −4−2−8+4
) Which object's liquid volume is best measured in milliliters? Bathtub, Milk carton, big spoon or small fish tank
Answer:
big spoon
Step-by-step explanation:
The Big spoon liquid volume is best measured in milliliters.
Given that;
The objects are,
''Bathtub, Milk carton, big spoon or small fish tank''.
We have to find the best objects liquid volume to measured in milliliters.
How to find the appropriate unit for measurement?
Normally we use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.
The volume of Bathtub, Milk carton, and small fish tank is more than the volume of big spoon.
And, The volume of liquid in Bathtub, Milk carton, and small fish tank is has usually measured in liters because it contain more liquid in comparison Big spoon.
Volume of liquid in a big spoon is measured suitably if we use milliliter. It is because the big spoon contains liquid with volume few milliliters or few hundred milliliters.
Hence, We use milliliters for measuring liquid in big spoon.
Learn more about the volume visit:
https://brainly.com/question/463363
#SPJ2
given sec0=29/21 and sin0>0 find csc0
csc theta = 29/30
Step-by-step explanation:
sec theta = hypotenuse/adjacent = 29/21
where hypotenuse = 29 and adjacent = 21
We can use these values and Pythagorean theorem to find the value of the opposite side:
(opposite)^2 = (hypotenuse)^2 - (adjacent)^2
= (29)^2 - (21)^2
= 400
or
opposite = 20
Therefore,
csc theta = hypotenuse/opposite = 29/20
Clark is conducting and expermint in which he drains water form buckets. The buckets do not have the same amount of water. Bucket A loses water at the rate of 10 ml per minute. The table represents the water in bucket B. The graph represents the water in bucket C
Answer:
A - B - C
Step-by-step explanation:
Tuan is an artist. He is painting on a large canvas which is 49 inches wide. The height of the canvas is 3 inches less than the width. What is the area of Tuan's canvas? The area of the canvas is square inches
Given:
Width of the canvas = 49 inches
The height of the canvas is 3 inches less than the width.
To find:
The area of the canvas.
Solution:
It is given that,
Width of the canvas = 49 inches
The height of the canvas is 3 inches less than the width
So, the height of the canvas is:
[tex]h=49-3[/tex]
[tex]h=46[/tex]
We know that the shape of the canvas is a rectangle and the area of the rectangle is:
[tex]A=length\times width[/tex]
The two dimensions of the canvas are 46 inches and 49 inches. So, the area of the canvas is:
[tex]A=46\times 49[/tex]
[tex]A=2254[/tex]
Therefore, the area of the canvas is 2254 square inches.
What's the gradient of y=3x+1
Answer:
3
Step-by-step explanation:
y = 3x + 1
This is in slope-y-intercept form: y = mx + c
Gradient = m = 3
What is the product of -3 and 5? A. -15 B. -8 C. 8 D. 15
Answer:
A) -15
Step-by-step explanation:
Answer:
A. - 15
Step-by-step explanation:
Got it right
What percent of data is less than 20?
Answer:
100%
Step-by-step explanation:
The answer is 100% because all of the numbers in the data are less than 20. Therefore 100% of the data is less than 20.
least to greatest -2/5, -2/3, -0.8, -3/4
Answer:
-0.8 -3/4 -2/3 -2/5
Step-by-step explanation:
Answer:
-3/4, -0.8, -2/3, -2/5
Step-by-step explanation:
A farmer grows a new variety of pumpkin, hoping to have
larger pumpkins to sell. To see how large the new variety
grows, she collects some statistical data.
1. The farmer plants the seeds in late May.
2. In October, she harvests the pumpkins.
3. After harvesting, she weighs each pumpkin on a scale
and records its weight
4. The farmer places the pumpkins on tables based on
their size.
Which step describes how the data were measured?
Answer:
C
Step-by-step explanation:
Answer:
is C
Step-by-step explanation:
A pex i took the test
give brainlist if feeling nice
Pleaseee help easy math! no links. full explanation needed. (will give brainlyist) :))
Answer:
B is right becuase out of all of the answers this one is the least value with 26
Step-by-step explanation:
2x3x4+5 is false becuase the answer 29 which is the 2nd most value(2X3) + (4x5) is true because the answer 25 which is the least(2+3+4)x5 is false because the answer 45 which is the 3rd most value 2X(3+4)% is false because the answer 79 which is the 4th most value Hence B is rightBrainliist plsWhich equation matches the graph shown ?
A. Y=8x^2 +2x -5
B. Y= 8x^2 +2x +5
C. Y=2x^2 + 8x +5
D. Y=2x^2 + 8x -5
Answer:
D
Step-by-step explanation:
Simply put 0 in the equations and see if it's true then put -2 instead of x and see if it matches. this is the easiest way.
Can someone help me
Answer:
Step-by-step explanation:
use the slope formula
Answer:
1) 3/2 2) 1 3)-5/3 4) 5/4 5) -5/9 6) 4/5 7) 8/5 8) 1/4 9) 1/2 10) 2/3 11) 0 12) -1/3 13) 1 14) -1
Step-by-step explanation:
please help. Will give BRAINLIEST!!!!!
Answer:
√13
Step-by-step explanation:
if you try Pythagorean's theorem for each one, you should get that √13 doesn't work.
Answer:
13
Step-by-step explanation:
Find the surface area of the prism 12in 7in 5in
Answer:
Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula
Step-by-step explanation:
can you help me with this please
Tobin finds satellite images of a factory and an athletic stadium. She puts the images on a coordinate grid (shown
below).
(khan academy)
Answer:
The area of the factory is about 3000 m more than the area of the stadium
Step-by-step explanation:
The area of the factory can be said to be 3000m² more than the area of the stadium.
How to solve for the area of the factoryThe area of the factory is given as S1
S1 = √80² + 200² * √40² + 100²
= √6400+40000 * √1600 * 10000
=√46400 * √11600
= 23200m²
How to solve for the area of the stadiumS2 = 80² * 3.14
= 20096
The difference in areas = S1 - S2
= 3000m²
Read more on area here:
https://brainly.com/question/25292087
#SPJ9
DOES ANYONE KNOW WHAT THUS WOULD BE !!!?
Answer:
120cm^3
Step-by-step explanation:
With the radius of 6, multiply 6 by itself to square it.
36
Then multiply that by the height of 10
360
Lastly divide by 3
120cm
Answer:
120
Step-by-step explanation: