Comparing the standard deviations of each distribution, you have blue < red < yellow.
For any normally distributed random variable X with mean µ and standard deviation σ, we have the property that
Pr[|X - µ| ≤ σ] ≈ 68%
In other words, roughly 68% of a normal distribution lies within 1 standard deviation of the mean. This means the plot of the density of a distribution with a smaller standard deviation forms a tighter peak (like the blue curve), whereas a larger standard deviation would be indicated by a more dispersed, flattened curve (like the yellow one).
What is the length of side s of the square shown below?
45*
8
90*
Answer is 4v2
Answer:
4 squareroot 2
Step-by-step explanation:
The answer is 4 squareroot 2
Of the 49 plays attributed to a playwright, 18 are comedies, 19 are tragedies, and 12 are histories. If one play is selected at random, find the odds against selecting a histories or a comedy
Answer:
34:49
Step-by-step explanation:
total = 49 plays
comedy + tragedies is 20 + 14 = 3
So the odds of picking a tragedy or comedy is 34:49
NEED HELP ASAP
find the volume of the cone
Answer: 134.0
Step-by-step explanation: Formula for volume of a cone: pi*r^2 h /3
Plug in the height, h, radius, r, and pi, 3.14:
(3.14) * (4^2) * (8/3)
V = 134.0 inches cubed
Hope this helped.
). Cho hệ các vector
U = − − + − {(1,2, ); (2,3, 1);(1,0,2 n n n (0, 1,1 ); ) n } .
a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U .
b. Tìm tham số k để 2
u k = + (2,3, 1) là một tổ hợp tuyến tính của W , và suy ra [ ]W
u .
can someone help me please! it's dude today in 30 minutes & i am having a hard time .
x = 109
Step-by-step explanation:
1. All of a triangles angles will add up to 180 degrees
2. Take 180 then subtract 48 from 180
3. Your new number is now 132. Take 132 then subtract 23.
4. Answer is 109
Answer:
x=109°
Step-by-step explanation:
In a triangle, all the angles have to add up to 180° and so add and then subtract to find x
48+23=71
180-71=109
so, x=109°
Writing in Math Explain how you could convert a rate of miles
per hour to a rate of miles per second.
Answer:
divide the speed value by 3600
according to the most used browser by the name of g
Step-by-step explanation:
at a Noodles & Company restaurant the probability that a customer will order a non alcoholic beverage is .48. find the probability that in a sample of 12 customers none of the 12 customers order a non-alcoholic beverage.
How do I find this?
Answer:
Probability is 0.00039, or about a 0.039% chance of occurrence
Step-by-step explanation:
Because you know that p=0.48 is the probability that a customer will order a non-alcoholic beverage, then q = 1-p = 1-0.48 = 0.52 is the probability that a customer won't order a non-alcoholic beverage. Because 12 customers are involved, then by the binomial theorem, the probability that none of the 12 customers order a non-alcoholic beverage is p = (0.48)⁰(0.52)¹² ≈ 0.00039 or 0.039%
Surface area of a cylinder. (see attached image please)
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
Firstly you need to remember the formula to find out surface area of a cylinder - Surface area of a cylinder = 2πr ( r + h ) where r is the radius of a circular face and h is the height of the cylinder.We're provided : Diameter of cylinder = 12 which means radius ( r ) = 6 cm [ Radius is the half of diameter ] & Height ( h ) = 25 cm & we know pi ( π ) = 22/7.[tex] \large{ \tt{❁ \: LET'S \: SOLVE}} : [/tex]
[tex] \large{\boxed{ \tt{☄TOTAL \: SURFACE \: AREA \: OF\: CYLINDER= 2\pi \: r \: ( \: r + h)}}}[/tex]
- Plug the values & then simplify !
[tex] \large{↦2 \times \frac{22}{7} \times 6(6 + 25) }[/tex]
[tex] \large{↦2 \times \frac{22}{7} \times 6 \times 31}[/tex]
[tex] \boxed{\large{↦1169.14 \: \tt{ {cm}^{2} }}}[/tex]
Hence , The surface area of given cylinder is 1169.14 cm²✺ Stay dedicated because great things takes time! ♪
シHope I helped! ♡
☃Have a wonderful day / evening ! ☼
# StayInAndExplore !☂
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How do you use this formula???
Please be specific.
I'll give you brainlist, I PROMISE!
A=P(1+r)^n
Answer:
Arithmetic Finance.
Compound interest
Step-by-step explanation:
when you're given the year sequence, principal and rate.
Answer:
Step-by-step explanation:
A = P ( 1 + r)^ n
This formula is used to find the Amount in Compound interest.
P --- Principal - the value we are depositing or taking loan
r - rate of interest
n --- number of years
A- amount that we get after n years or the loan to paid after n years
Which expression is equivalent to
r^9/r^3 ?
Which expression is equivalent to the expression -3(4x - 2) - 2x ?
Answer:
-14x + 6
Step-by-step explanation:
-3(4x - 2) - 2x
-12x + 6 - 2x
-14x + 6
a pair of jeans originally cost $140 and are now on sale for 65% off. what is the sale price of the jeans
Answer:
$49
Step-by-step explanation:
Method 1:
100% - 65% = 35%
[tex]\frac{y}{140}: \frac{35}{100}[/tex]
y · 100 = 35 · 140
100y = 4900
100y ÷ 100 = 4900 ÷ 100
y = 49
Method 2:
[tex]\frac{y}{140}: \frac{65}{100}[/tex]
y · 100 = 65 · 140
100y = 9100
100y ÷ 100 = 9100 ÷ 100
y = 91
$140 - $91 = $49
Gather information from relevant source and write about the he Earth's moon .
1000 words
Answer:
The Moon's orbit around Earth has a sidereal period of 27.3 days. During each synodic period of 29.5 days, the amount of visible surface illuminated by the Sun varies from none up to 100%, resulting in lunar phases that form the basis for the months of a lunar calendar. The Moon is tidally locked to Earth, which means that the length of a full rotation of the Moon on its own axis causes its same side (the near side) to always face Earth, and the somewhat longer lunar day is the same as the synodic period. That said, 59% of the total lunar surface can be seen from Earth through shifts in perspective due to libration.[17]
The most widely accepted origin explanation posits that the Moon formed about 4.51 billion years ago, not long after Earth, out of the debris from a giant impact between the planet and a hypothesized Mars-sized body called Theia. It then receded to a wider orbit because of tidal interaction with the Earth. The near side of the Moon is marked by dark volcanic maria ("seas"), which fill the spaces between bright ancient crustal highlands and prominent impact craters. Most of the large impact basins and mare surfaces were in place by the end of the Imbrian period, some three billion years ago. The lunar surface is relatively non-reflective, with a reflectance just slightly brighter than that of worn asphalt. However, because it has a large angular diameter, the full moon is the brightest celestial object in the night sky. The Moon's apparent size is nearly the same as that of the Sun, allowing it to cover the Sun almost completely during a total solar eclipse.
A store offered a buy one get one free sale for a popular shirt. The manager noticed that 35% of consumers bought a red shirt, 25% a blue, and 40% a green. Assume all consumers bought either two shirts or none at all, but no consumer buys two shirts of the same color. How many consumers did not buy any of these shirts
Answer:
50%
Step-by-step explanation:
Let X = Green and red
Y = Red and blue
Z = Green and blue
( Buy green or red or blue )
⇒ (x + y) + (y + z) + (z + y) = 25 + 40 + 25
⇒ 2( x + y + z) = 100
∴ x + y + z = 50
Buy at least one shirt = 50%
So, did not buy any shirt = 100 - 50
= 50%
Find the scale factor of ABC to MNO.
Answer:
6/5
Step-by-step explanation:
The scale factor can be obtained by simply finding the ratio of the lenght of the side of one shape to the length of the same side of the other shape.
Thus, we can obtain the scale factor that will take us from △ABC to △MNO as illustrated below:
Original Length BC = 15 in
New Length NO = 18 in
Scale factor =?
Scale factor = New lenght NO / Original length BC
Scale factor = 18 / 15
Scale factor = 6/5
Therefore, the scale factor that will take us from △ABC to △MNO is 6/5.
4. If z, a+bi and z, c+di represent two complex numbers with real components a, b, c and d, then which of the following represents the coefficient of i in the product of z, and z,?
(1) ac-bd
(2) ad-be
(3) ab+cd
(4) be+ad
Answer:3
Step-by-step explanation:
Suppose the x-axis of a density graph represents someone's height in inches. If the area under the density curve from 60 inches to 70 inches is 0.75, what is the probability of someone's height being anywhere from 60 inches to 70 inches? O A. 75% O B. 65% C. 70% D. 60% SUBMIT
OPTION A 75% is the correct answer
Before you factor you should check what two things?
Answer:
I put all the steps to factoring, hopefully this helps! ^^
Step-by-step explanation:
-Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look at the resulting polynomial factors to factor further.
-Determine the number of terms in the polynomial.
-Look for factors that can be factored further.
-Check by multiplying.
Find the value of x then tell whether the side lengths form a Pythagorean triple 6 , 10 , x
Answer:
Explanation:
Use the Pythagorean theorem (
a
2
+
b
2
=
c
2
)
Lets label the right triangle such that:
a
=
12
b
=
16
c
=
x
Thus,
12
2
+
16
2
=
x
2
144
+
256
=
x
2
400
=
x
2
√
400
=
x
20
=
x
So our missing side,
c
is
20
We can now say that the sides of our triangle are
12
,
16
,
20
I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).
Step-by-step explanation:
Hope it helpful
Answer:
Step-by-step explanation:
a^2+b^2=c^2
6^2+10^2=x^2
36+100=x^2
136=x^2
[tex]\sqrt{136[/tex] =x
2[tex]\sqrt{34[/tex] =x
Jasmine recorded the number of minutes she spent doing homework each day during the months of March and April
The box plot shows her data for March
March
0
5
10
15
20
25
30
35
40
45
50
Time Spent Doing Homework (minutes)
Her data for April is given in the table
0 5 10 15
20 25 30 30 30
30 30 30 30
35 40 40 40 45
45 45 45 50 50 55 60 65 65 75
Select all true statements about the data
DA Jasmine spent more minutes doing homework during the month of April.
B
The mean value
greater for the month of April
C. The median value is greater for the month of April
D. Based on the interquartile range, there is greater variability for the month of April
Answer:
Option A,B,C and D is correct
Step-by-step explanation:
As we can see , the data set for April month has longer time duration taken for completing homework as compared to the time taken during the month of April. Hence, option A is correct.
Option B is also correct because most of the instance of time taken for doing homework is greater for month of April as compared to the month of March
Median value for the month of march = 25 and median value for the month of April is (30+35)/2 = 32.5. Hence, Option C is correct
There is greater variability for the month of April. Hence, option D is correct
the scale of a map is 1/8 inch = 10 miles. If 2 cities are 3 inches apart on the map, he
e are the from each other?
Answer:
They are 240 miles away from each other
i need help asap i don’t get it
Please someone help me. Thank you.
Answer:
Step-by-step explanation:
take x degree as reference angle
using tan rule
tan x=opposite/adjacent
tan x=6.1/5.1
tan x=1.19
x=[tex]tan^{-1}[/tex]1.19
x=49.95
x=50 degree
I need help
Cristina and Kori both leave the restaurant at the same time, but in opposite directions. If Kori travels 9 mph faster than Cristina and after 6 hours they are 186 miles apart, how fast is each traveling?
Carrie left the restaurant traveling 12 mph. Then, 4 hours later, Leah left traveling the same direction at 24 mph. How long until Leah catches up with Carrie?
Paige started biking to the mall traveling 8 mph, after some time the bike got a flat so Paige walked the rest of the way, traveling 5 mph. If the total trip to the mall took 8 hours and it was 46 miles away, how long did Paige travel at each speed?
Answer:
Question 1)
Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.
Question 2)
Four hours.
Question 3)
Paige spent two hours biking and six hours walking.
Step-by-step explanation:
Question 1)
Let Cristina's speed be x.
Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (x + 9).
After six hours, Cristina would have traveled 6x miles and Kori would have traveled 6(x + 9) miles.
Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(x + 9) miles away from the restaurant while Cristina is 6x miles away from the restaurant.
Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:
[tex](6x)-(-6(x+9))=186[/tex]
Distribute:
[tex]6x-(-6x-54)=186[/tex]
Distribute:
[tex]6x+6x+54=186[/tex]
Simplify:
[tex]12x=132[/tex]
Hence:
[tex]x=11[/tex]
Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.
Question 2)
Let h represent the amount of time that has passed in hours.
Carrie left the restaurant traveling 12 miles per hour.
Four hours later, Leah left traveling in the same direction at 24 miles per hour.
After four hours, Carrie would have traveled 12(4) = 48 miles.
Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:
[tex]12h+48[/tex]
Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:
[tex]24h[/tex]
Leah will catch up when the two expressions are equivalent. Hence:
[tex]12h+48=24h[/tex]
Solve for h:
[tex]12h=48\Rightarrow h=4[/tex]
Leah will catch up with Carrie in four hours.
Question 3)
Let x represent the amount of hours spent biking and y represent the amount of hours spent walking.
The total trip to the mall took eight hours. Hence:
[tex]x+y=8[/tex]
The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:
[tex]8x+5y=46[/tex]
Solve the system. We can use elimination. Multiply the first equation by -5:
[tex]-5x-5y=-40[/tex]
We can add this to the second equation:
[tex]3x=6[/tex]
Hence:
[tex]x=2[/tex]
Using the first equation again:
[tex](2)+y=8\Rightarrow y=6[/tex]
So, Paige spent two hours biking and six hours walking.
which of the following values are in the range of the function graphed below?
Answer:
f)0
Step-by-step explanation:
HELP PLEASE
Question: 1. Line segment AB has endpoints A(8, 3) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:2. 2. Line segment AB has endpoints A(6, 4) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3.
Answer:
a) (6,4)
b) (5, 4.5)
Step-by-step explanation:
much like when you find them midpoint where you average the x-coordinates and the y-coordinates to find the midpoint coordinates, you'll do the same thing here.
to set context, a midpoint would break the segment into a ratio of 1:1.
so in the first part, a ratio of 1:2 means you are breaking the segment into 3-parts. So you'll do this for the coordinates:
[tex]x = \frac{8 + 2}{3} \: and \: y = \frac{3 + 6}{3} [/tex]
for the second part as the ratio is 1:3, you are breaking the segment into 4 parts.
[tex]x = \frac{6 + 2}{4} \: and \: y = \frac{4 + 6}{4} [/tex]
For the sample standard deviation(s) for situations involving means, explain whether it affects the width of a confidence interval, the center of a confidence interval, neither, or both.
Answer:
Affects the width of a confidence interval, as the margin of error is a function of the sample standard deviation.
Step-by-step explanation:
When we have the standard deviation for the sample, the t-distribution is used to solve the question.
It does not affect the center of the interval, which is a function only of the sample mean.
Width of a confidence interval:
The width of a confidence interval is a function of the margin of error, which is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In which s is related to the sample standard deviation. Thus, since s and M are directly proportional, a higher standard deviation makes the interval wider, lower standard deviation makes the interval narrower, and thus, the sample standard deviation affects the the width of a confidence interval.
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
8 x 13 = 104 yd^2
Step-by-step explanation:
To find the area of a rectangle we use the basic formula:
L x W
In this case 13 is your width and 8 is your length, multiply the two given lengths to get your area which is 104.
The scores on an exam are normally distributed, with a mean of 82 and a standard deviation of 10. What percent of the scores are less than 62?
Answer:a
a
Step-by-step explanation:
i took the test
Karen and Dale and Tom sent a total of 84 messages during the weekend. Dale sent six fewer messages and Karen and Tom sent four times as many as Karen. How many did they send each.
Answer:
Karen: 15; Dale: 9; Tom: 60
Step-by-step explanation:
"Karen and Dale and Tom sent a total of 84 messages during the weekend."
k + d + t = 84
"Dale sent six fewer messages than Karen"
d = k - 6
"Tom sent four times as many as Karen."
t = 4k
Substitute k - 6 for d and 4k for t in the first equation.
k + d + t = 84
k + k - 6 + 4k = 84
6k - 6 = 84
6k = 90
k = 15
d = k - 6 = 16 - 6 = 9
t = 4k = 4(15) = 60
Answer: Karen: 15; Dale: 9; Tom: 60
