Answer:
By the Empirical Rule, 68% of the data would be between 19.8 and 28.2
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 24
Standard deviation = 4.2
What percentage of the data would be between 19.8 and 28.2
19.8 = 24 - 4.2
28.2 = 24 + 4.2
So within one standard deviation of the mean
By the Empirical Rule, 68% of the data would be between 19.8 and 28.2
How do I get the answer?
Answer:
Step-by-step explanation:
im so unfused what subject if yall ask a question putt the subject
Please help I'm so confused
Answer:
(-2, -4), (-1, -1), (0, 0), (1, -1), (2, -4)
Step-by-step explanation:
You plug in x values to get the y values are dot-in the points!
y = -x^2
You plug in -2 and get -(2)^2 = -(4) = -4
Same thing with all other values.
1 2 3
5
6
7
The scale in the drawing is 4 cm:5 m. Drag and drop the correct numbers into the boxes to glve the
length, width, and area of the actual room.
16 cm
8 cm
The length is
meters, the width is
meters, and the area is
square meters.
8
16
200
20
10
128
What is the multiplier of 2.5% of an amount
Answer: 8x3 to the 6th degree minus 4th5 odd one under.
Step-by-step explanation:
Answer:
Most likely 0.025
Verified with calculator :)
Suppose that U is an infinite universal set, and A and B are infinite subsets of U . Answer the following questions with a brief explanation. Must A c be finite? Must A ∪ B be infinite? Must A ∩ B be infinite?
Answer:
A c must not be finite.
A ∪ B must be infinite.
A ∩ B must not be infinite.
Step-by-step explanation:
Must A c be finite?
Suppose
U = {....-4,-3,-2,-1,0,1,2,3,4.......}
A = {....-4,-2,0,2,4.......} which is infinite set
B = {....-3,-1,0,1,3.......} which is also infinite set
So We need to calculate the A compliment
[tex]A^{c}[/tex] = U - A = {....-4,-3,-2,-1,0,1,2,3,4.......} - {....-4,-2,0,2,4.......} = {....-3,-1,0,1,3.......}
Hence [tex]A^{c}[/tex] is also an infinite set.
The statement "Must A c be finite?" is incorrect.
Must A ∪ B be infinite?
In AUB all the elements of set A and set B are combined into a single set to get the union of A and B. If A and B are the infinite set then their union must also be an infinite set because all the elements of infinite sets will be there so the union of these infinite sets will also be an infinite set.
The Statement "Must A ∪ B be infinite?" is correct.
Must A ∩ B be infinite?
In A∩B the common elements of both sets will be the answer to the intersection of A and B set. If we consider the A and B are the infinite subsets of a Universal set that carry all the elements then there will not be any common element in both sets A and B.
The Answer of A∩B is { } or empty set.
The statement "Must A ∩ B be infinite? " is incorrect.
what is the meausure of angle XYZ
Answer:
80 degrees is what I got im not 100 percent its right
You created a blog and after 2 weeks you get your first subscriber. The number of subscribers grows quickly, quadrupling each week afterwards.
Excited about your blog's popularity you wonder, how many subscribers will the blog have 12 weeks after you create it?
Answer:
1 x 4 x 12 = 48
Step-by-step explanation:
48 subs
The number of subscribers at 12 weeks is required.
Number of subscribers at 12 weeks would be 1048576.
a = Initial subscriber count at 2 weeks = 1
Week at which number of subscribers is required is 12.
x = Duration between the weeks = [tex]12-2=10[/tex]
r = Rate of increase = 4
The required formula is
[tex]f(x)=ar^x\\\Rightarrow f(10)=1(4)^{10}\\\Rightarrow f(10)=1048576[/tex]
Number of subscribers at 12 weeks would be 1048576.
Learn more:
https://brainly.com/question/16954106?referrer=searchResults
Which two points have an undefined slope?
Answer:is there a pic
Step-by-step explanation:
More info?
There are 3 people in a room, and we are curious whether two of them have their birthday in the same month. We record the triplet that describes the month of birthday for each person. E.g. (Oct, Jan, Jul) is one possible triplet/outcome. (Since each month applies to a specific person, (Oct, Jan, Jul) is not the same as (Jan, Jul, Oct) and so order is important.) a. How many possible outcomes are there
Answer:
The possible outcomes are 1728.
Step-by-step explanation:
Consider the provided information.
We know that there are 12 months in a year and we have 3 people in a room.
As the order is important it means for each person we have 12 choices of the months.
The possible outcomes are: [tex]12\times12\times12=1728[/tex]
Hence, the possible outcomes are 1728.
Find the determinant of the following matrix. A =
-2 6
3 5
Answer:
[tex]|A| = - 28[/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right][/tex]
Required
Determine the determinant
For a two by two matrix, A such that:
[tex]A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
The determinant |A| is:
[tex]|A| = a * d - b * c[/tex]
So, in
[tex]A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right][/tex]
The determinant is:
[tex]|A| = -2 * 5 - 6 * 3[/tex]
[tex]|A| = -10 - 18[/tex]
[tex]|A| = - 28[/tex]
Help plz:)))I’ll mark u Brainliest
Find the size of angle XYZ give your answer to 1 decimal place plssss hellllpppp
Answer:
hey mate here's your answer
Step-by-step explanation:
(hypothenuse)²=(base)²+(perpendicular)²
15²=6²+P²
322=36+p²
322-36=p²
286=p²
√286=p
16.91=p
hope it helps you
plz mark me as brainiest
Please help, in a hurry!!
Will mark brainliest!!!
Match each system of linear equations with the correct number of solutions.
One solution
Infinitely many solutions
No solution
3x - y = 4
6x - 2y = 8
-3x + y = 7
2x - 4y = -8
y = -4x - 5
y = -4x + 1
Answer:
First one is infinitely many solutions. Second one is One solution. The third one is No solution.
Step-by-step explanation:
First line both equations have the same line. second one are two completely different equations while the third one are parallel lines which never intersect.
The expression 42+57 shows how much money Nate spent at a store. Which expression also shows how much
money Nate spent?
Answer:
The first one
Step-by-step explanation:
42+57=99
The only answer that is equal to 99 is the first one. 3(14+19) = 3(33) = 99
Answer:
66+33
Step-by-step explanation:
42+57= 99
__________
My expression
66+33= 99
Hopefully that helps you out.
Compute the sample variance for the following scores: 25, 36, 41, 28, 29, 32, 39, 37, 34, 34, 37, 35, 30, 36, 31, 31
Answer:
Step-by-step explanation:
From the given information:
The mean [tex]\hat x = \dfrac{\sum x}{n}[/tex]
[tex]\hat x = \dfrac{25+36+41+28+29+32+29+37+34+34+37+35+30+36+31+31}{16}[/tex]
[tex]\overline{x} = \dfrac{535}{16}[/tex]
[tex]\overline{x} = 33.44[/tex]
The sample variance is as follows:
[tex]S^2 = \dfrac{\sum dx^2 - ( \dfrac{\sum dx)^2}{n} )}{n-1}[/tex]
[tex]S^2 = \dfrac{279- ( \dfrac{7}{15} )^2}{15}[/tex]
[tex]S^2 = 18.585[/tex]
Suppose a normally distributed set of data with 7800 observations has a mean of 188 and a standard deviation of 18. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be below a value of 242. Round your result to the nearest single observation.
Answer:
7788 observations are expected to be below a value of 242.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 188, standard deviation = 18
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
Percentage of observations below 242:
242 = 188 + 3*18
So 242 is three standard deviations above the mean
Of the measures below the mean, all are below 242.
Of the measures above the mean, 99.7% are between the mean of 188 and three standard deviations above the mean(242). So the percentage is:
[tex}P = 0.5 + 0.997*0.5 = 0.9985[/tex]
Number of observations below 242:
99.85% of 7800 observations
0.9985*7800 = 7788
7788 observations are expected to be below a value of 242.
What is the quotient of 35, 520 ÷ 96?
Answer:
Hey there the answer is 370
Step-by-step explanation:
can someone help please!
Answer:
1. B. <1 and <2
2. C. 37°
3. B. 40°
Step-by-step explanation:
1. Complementary angles add up to 90°.
From the diagram given, <1 and <2 are complementary because they sum up to 90°.
The answer is B. <1 and <2
2. Given that,
m<1 = 37°, m<4 = 37° also.
This is because m<1 and m<4 are Vertical angles. Vertical angles pair are equal.
The answer is: C. 37°
3. If m<1 = 50°, then:
m<5 = 90 - m<4
m<1 = m<4 = 50° (vertical angles)
m<5 = 90 - 50 (substitution)
m<5 = 40°
Answer is B. 40°
which are the slope and y-intercept for the line with equation y = -2x +5
Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
[tex]y = mx + b[/tex]
where m = slope and b = y-intercept.
[tex]y = mx + b \\ y = - 2x + 5[/tex]
Consider the coefficients.
[tex]mx + b = - 2x + 5[/tex]
[tex]m = - 2 \\ b = 5[/tex]
Therefore, the slope is -2 and y-intercept is 5.
8 + __ = 4(2+4) I need help on this also can you explain it to me so I know next time
Answer:
16.
Step-by-step explanation:
We need 8 + a number to equal 24. We need it to equal 24 because 2 + 4 = 6 and 6 x 4 = 24. To find the missing number we need to subtract 8 from 24. 24 - 8 = 16. Let's plug 16 into the equation.
8 + 16 = 4(2 + 4)
24 = 4(2 + 4)
24 = 4(6)
24 = 24
Therefore, 16 is the correct answer.
Select the correct product
(x2+4) (x2-4)
x4 16
x4+16
x2+8x+16
x2 8x 16
Answer:The answer would be x^4 -16
Explanation: use the FOIL method.
(x^2 +4)(x^2 -4)= x^4 +4x -4x -16. 4x and -4x cancel each other out. You are left with x^4 -16.
F- irst
O- uter
I- nner
L- ast
Step-by-step explanation:Hope this helps
Combine Like Terms for this expression.
7y + 2y
answer:
9y
step-by-step explanation:
add 7 and 2 = 9 then add the y
The ratio of cups of grape juice to cups of orange juice to make fruit punch is 5:3 you are making a batch and will use 10 cups of grape juice
1. AB = 32
BE = 6x + 8
Answer:
x = 4
Step-by-step explanation:
6x + 8 = 32
6x = 32 ‐ 8
6x = 24
x = 24/6
x = 4
Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of life governed by the exponential distribution with mean 3 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.
Answer:
attached below
Step-by-step explanation:
Assuming that Y1 and Y2 are independent exponential random variable with mean 3
where : U = Y1 + Y2 applying the property of exponential distribution sum of exponentials will follow a gamma distribution
i.e. ∝ = 2 , and β = 1
note : U = 2X
Hence probability distribution function X =
Fx (x) = p( X ≤ x )
= p( U ≤ 2x )
= Fu (2x)
probability density function X
f (x) = [tex]\frac{dF(2x)}{dx}[/tex] = 2 Fu (2x)
attached below is the remaining part of the solution
In this exercise we have to use probability knowledge to calculate the density of the function, so we have to:
[tex]f(u) \left \{ {{ue^u: u>0} \atop {0}} \right.[/tex]
[tex]f(x) \left \{ {{4xe^{-2x}: x>0} \atop {0}} \right.[/tex]
Assuming that [tex]Y_1[/tex] and [tex]Y_2[/tex] are independent exponential random variable where:
[tex]U = Y_1 + Y_2[/tex]
Applying the property of exponential distribution sum of exponentials will follow a gamma distribution, we have:
[tex]\alpha = 2[/tex][tex]\beta = 1[/tex] [tex]U = 2X[/tex]
Hence probability distribution function X , will be:
[tex]F_x (x) = p( X \leq x )\\= p( U \leq 2x )\\= F_u (2x)[/tex]
So we can say that:
[tex]f (x) = \frac{dF}{du} = 2 F_u (2x)[/tex]
See more about probability at brainly.com/question/795909
Please help me i don't understand
Answer:
-49 degrees Fahrenheit sorrry don’t have time gtg
Step-by-step explanation:
(m - 5) = 4 where m=17
Answer:
If m = 17 then the equation would be 12 = 4 which is not true
So this whole equation is false
Step-by-step explanation:
The distance from Adamsville to Hampton Mills is 24.1 km. Which statement is true about the
distance from Adamsville to Springfield
Answer:-
Option A
Step by step explanation :-
Distance between Springfield to Longmeadow is 3.8 km.
Adamsville to Springfield is 7.6 km.
Find the Prime Factorization of 120.
A. 2x 32 x 5
B. 23 x 3 x 5
C. 4x6x5
D. 8 x3 x 5
Answer:
option (c)
Step-by-step explanation:
4*6*5
please mark as brainliest
Find the zeroes of the function g(x).
g(x) = (x - 8)(x + 7)
Write your answer as a list of values separated by commas,
Answer:
-15
Step-by-step explanation:
=(x - 8)(x + 7)
=x2-15x-56
= (0)2 - 15(0) -15
= -15