Which statement is true of normally distributed data?
A.
Approximately 90% of data falls within 2 standard deviations (±2) of the mean.
B.
Approximately 90% of data falls within 3 standard deviations of (±3) the mean.
C.
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.
D.
Approximately 95% of data falls within 3 standard deviations (±3) of the mean.
Please explain and no answering just for points.
C
have a nice day!!!!!!!!!!!!!!!!!!!!!!!
Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.
What is a normal distribution?A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.
Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.
As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.
In a normal distribution 68% of the values falls within 1 standard deviation
and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.
Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.
To learn more about normal distribution visit:
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4/x = 2/7 please help ASAP!!
Answer:
use cross multiplication to solve
4*7 = 2*x (multiply)
28 = 2x (divide both sides by 2 to isolate x )
x = 14 (your answer)
Step-by-step explanation:
I hope this helped :)
Answer:
Step-by-step explanation:
Or,2×x=7×4
Or,2x=28
Or,x=14
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Answer:okay I’m pretty smart it is c the answer is 4:)
Step-by-step explanation:
PLEASE HELP MEEEEEEE
Answer:
the thing is black for me.. pls retake
Step-by-step explanation:
Us the regression equation, y= 4.39x-6.77, to predict the age of a tree that is 125 cm in diameter
Answer:
y = 542 years
Step-by-step explanation:
Given that,
The regression equation, y= 4.39x-6.77 is used to predict the age of a tree.
y is age of a tree and x is diameter
Put x = 125 cm
Put the value of x in above equation.
y = 4.39(125)-6.77
=548.75 - 6.77
= 541.98
or
y = 542
So, the tree is 542 years old.
josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount?
get it right i will give you 100 points
Hey there! I'm happy to help!
Here's José's equation.
J=2a+15
And here is Nancy's.
N=3a+5
We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!
2a+15=3a+5
Subtract 15 from both sides.
2a=3a-10
Subtract 3a from both sides.
-a=-10
Divide both sides by -1.
a=10
Therefore, José and Nancy charge the same amount for 10 animals.
Have a wonderful day! :D
On Wednesday, farmer bell wants to take an inventory of his mango trees He planted 7 rows of mango trees. There are 42 mango trees in each row. How many mango trees does he have altogether?
Find f(-2) for (x) = 2(4)x
Answer:
-16
Step-by-step explanation:
The question asks to find x from 2(4)x if x = -2
All that we have to do is substitute to get our answer :
f(-2) for (x) = 2(4)x
f(-2) = 2(4)(-2)
f(-2) = 2(-8)
f(-2) = -16
Therefore, x = -16
Answer:
-16
Step-by-step explanation:
Plug in -2 for x and then multiply 2 and 4 to get 8 (-2) which is then -16. Hope that helps!
Please help!! Find the length of the radius of circle O.
Answer: 4.5 units
Step-by-step explanation:
OD and OC are both radii of the circle O. All radii of the same circle are equal. Thus,
[tex]6x+2=10x-16[/tex]
18=4x
x=4.5
Hope it helps :)
find the rate of travel for a fishing boat with a speed of 10 miles per hour moving Downstream with a current of 5 miles per hour
Answer:
36 miles (b+C) (3)of rate
What is the value of p in the following division problem?
7/8 ÷ p = 1 11/24
Answer:
24 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 1 5 q5
Please help soon because I really need to finish my last homework question quickly
Answer:
what is the question? May you please show us
Step-by-step explanation:
If 2^x3^y=18 and 2^x×3^y=36 then find the value of x and y
Answer:
x = 1
y = 2
Step-by-step explanation:
x=1 and y=2.
step 1 ,
2^2x*3^y=36
3^y= 36/2^2x ———- equal 1
step 2,
put the value of 3^y in 2^x*3^y = 18 (equal 1)
WHEN BASES ARE SAME POWERS ARE SUBTRACTED IN CASE OF DIVISION.
Therefore, 2^x-2^2x= 1/2
2^-x= 1/2
(1/2)^x = 1/2
COMPARING THE POWERS BECAUSE THE BASE IS SAME.
x=1.
Now, putting the value of x=1 in 2^x*3^y = 18
y=2.
What is the minimum value of the objective function, C, with the given constraints?
C=2x+3y
A) 2x+3y≤24
B) 3x+y≤15
C) x≥2
D) y≥3
Given:
The objective function, [tex]C=2x+3y[/tex],
Constraints,
[tex]2x+3y\leq 24[/tex]
[tex]3x+y\leq 15[/tex]
[tex]x\geq 2[/tex]
[tex]y\geq 3[/tex]
To find:
The minimum value of the given objective function.
Solution:
We have,
Objective function, [tex]C=2x+3y[/tex] ....(i)
The related equations of given constraints are
[tex]2x+3y=24[/tex] ...(ii)
[tex]3x+y=15[/tex] ...(iii)
[tex]x=2[/tex], it is a vertical line parallel to y-axis and 2 units left from y-axis.
[tex]y=3[/tex], it is a horizontal line parallel to x-axis and 4 units above from y-axis.
Table of value for (i),
x : 0 12
y : 8 0
Table of value for (ii),
x : 0 5
y : 15 0
Plot these points on a coordinate plane and draw these 4 related lines.
The sign of inequality of [tex]2x+3y\leq 24[/tex] and [tex]3x+y\leq 15[/tex] is ≤, it means the related lines are solid lines and the shaded region lie below the related line.
For [tex]x\geq 2[/tex], left side of the line [tex]x=2[/tex] is shaded.
For [tex]y\geq 3[/tex], shaded region is above the line [tex]y=3[/tex].
From the below graph it is clear that the vertices of the feasible (common shaded region) are (2,3), (4,3), (3,6) and (2,6.667).
Points [tex]C=2x+3y[/tex]
(2,3) [tex]C=2(2)+3(3)=4+9=13[/tex] (Minimum)
(4,3) [tex]C=2(4)+3(3)=8+9=17[/tex]
(3,6) [tex]C=2(3)+3(6)=6+18=24[/tex]
(2,6.667) [tex]C=2(2)+3(6.667)=4+20=24[/tex]
Therefore, the objective function is minimum at point (2,3).
Helppp (20 points )pleaeeee
Answer:
LxWxH= 920
Step-by-step explanation:
hope this helps!
Use the two bar graphs to answer the following experimental compound events. What is the
experimental probability of rolling a 2 and spinning 2?
- 6/625
- 4/250
- 24/2500
- 6/50
Answer:
24 / 2500
Step-by-step explanation:
Experimental probability = (number of successes / total number of trials)
For rolling :
Total number of trials = ( 10 + 4 + 8 + 11 + 8 + 9) = 50
Number of times 2 is rolled = 4
P(rolling a 2) = 4 /50
For spinning :
Total number of trials = (8 + 6 + 9 + 11 + 9 + 7) = 50
Number of times 2 is spunned = 6
P(rolling a 2) = 6 /50
Hence,
4 / 50 * 6/50 = 24 / 2500
Helpppppppppppppppppppp
Answer:
14
Step-by-step explanation:
i think cos x*2 = y
Paula walked on the treadmill for 11 minutes. The machine told her she had a total of 671 strides. What was her rate in strides per minute?
Answer:
61 strides per minute
Step-by-step explanation:
You just divide 671 by 11
hope this helps:)
Answer:
61
Step-by-step explanation: All you have to do is divide 671 by 11
I NEED HELP NOW please
Geometry Special Quadrilaterals show work please
Answer:
a = 16
w = 125
x = 120
y = 55
Step-by-step explanation:
FINDING 'a'
31 = a + 46 / 2
62 = a + 46
16 = a
FINDING 'w'
* This section looks Non-Isosceles trapezoid so I will be following the rule according it
w + 55 = 180
w = 125
FINDING 'y'
y = 55
- Because of corresponding angles
FINDING 'x'
* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.
x + 60 = 180
x = 120
Hope this helped ^^
(Please inform me of any mistakes or misunderstandings!)
What is the slope of the line that passes through
the points (-6, 6) and (10, -10)?
Answer:
-1
Step-by-step explanation:
as - 10-6/10-(-6)
Equals - 16/16
Factor the expression using the GCF
16x+56y
Answer:
8(2×+7y)
Step-by-step explanation:
8 is the largest factor
-5/12 - (-9/3)=
Help me please
Answer:
HOW T.F DO YOU NOT
Step-by-step explanation:
-5/12+3
2 7/12
UST CAUSE
Answer: -5/4
Step-by-step explanation:
PLEASE ANSWER ASASSP!!!!!!!!!!!!!!!!!!!!
Sovle the equation
-10 (g - 6) = 65
What is g?
Answer:
g=-1/2 can u you also mark me brainliest?
Step-by-step explanation:
Stephen has a dog that weighs 5 times as much as lan's dog.
The total weight of both dogs is 72 pounds. How much does
Stephen's dog weigh?
Draw a diagram to find the weight of Stephen's dog.
Answer:
60 pounds
Step-by-step explanation:
5(5 times)*12(weight of lans dog)=60+12=72
Answer:
57.6
Step-by-step explanation:
72/5 = 14.4
72-14.4=57.6
I checked the answer by:
57.6+14.4=72
Someone please help me with this!!
Answer:
Its A
Step-by-step explanation:
Expanded form of 6(y+x)
Answer:
6y + 6x
Step-by-step explanation:
the expanded form would be 6 multiplied to each item in the parenthesis
this gets you 6x + 6y
Find the point that maximizes the objective functions P=2x+5y using constraints:
y>=10-2x
y<=7-1/2x
x>=0
y>=0
Answer:
(2,6)
Step-by-step explanation:
Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each 3 student, one at a time, for 7 of an hour, how many students does she tutor?
6
8
12
24
Answer:
24 hope this helps
Step-by-step explanation:
Kiran's mother gets a restaurant bill for $25. She has a coupon for 15% off. After the
discount is applied, she adds 20% as a tip.
What is the total after the discount and tip? Explain or show your reasoning.
Answer:
$25.50
Step-by-step explanation:
So we have a 15% off coupon. We can multiply 25×.85 to find our new price.
Our total is now $21.25
Now to find the tip do $21.25 +(.2 × 21.25)
*The .2 is 20 percent of our discount price.*
We then get $25.50