Answer:
median = 93.5
median = 65
MAD = 7.125
MAD = 3.75
Step-by-step explanation:
The median is the middle value when the values of the data set are placed in order from smallest to largest.
Data set: 72 82 92 93 94 97 98 102
As the number of values in the data set is even, the median is the mean of the middle two values.
[tex]\implies \sf median=\dfrac{93+94}{2}=93.5[/tex]
Data set: 53 59 64 65 65 66 67 69
As the number of values in the data set is even, the median is the mean of the middle two values.
[tex]\implies \sf median=\dfrac{65+65}{2}=65[/tex]
To find the Mean Absolute Deviation (MAD):
1. calculate the mean (by summing the data values and dividing by the number of values)
2. Subtract the mean from each value in the data set and take the absolute value of each result.
3. Sum the absolute values from step 2.
4. Divide by the number of values.
Data set: 72, 82, 93, 98, 102, 97, 92, 94
[tex]\sf Mean=\dfrac{72+82+93+98+102+97+92+94}{8}=91.25[/tex]
|72 - 91.25| = 19.25
|82 - 91.25| = 9.25
|93 - 91.25| = 1.75
|98 - 91.25| = 6.75
|102 - 91.25| = 10.75
|97 - 91.25| = 5.75
|92 - 91.25| = 0.75
|94 - 91.25| = 2.75
Sum of absolute values = 57
[tex]\sf MAD=\dfrac{57}{8}=7.125[/tex]
Data set: 53 59 64 65 65 66 67 69
[tex]\sf Mean=\dfrac{53 +59+ 64+ 65+ 65+ 66+ 67+ 69}{8}=63.5[/tex]
|53 - 63.5| = 10.5
|59 - 63.5| = 4.5
|64 - 63.5| = 0.5
|65 - 63.5| = 1.5
|65 - 63.5| = 1.5
|66 - 63.5| = 2.5
|67 - 63.5| = 3.5
|69 - 63.5| = 5.5
Sum of absolute values = 30
[tex]\sf MAD=\dfrac{30}{8}=3.75[/tex]
The first three steps for completing the square to solve a quadratic equation are shown. What number goes in the boxes to complete the third step?
9514 1404 393
Answer:
C. 16
Step-by-step explanation:
The x-coefficient is -8. Half that is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.
_____
It can help to keep in mind what the square of a binomial looks like:
(x -a)² = x² -2ax +a²
The coefficient of x is -2a. The constant is the square of half that (-2a/2)² = a².
Answer:
16
Step-by-step explanation:
The x-coefficient is -8. Half of -8 is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.
⚠️ Mhanifa, can you help me, please? This is due asap and I will mark brainliest :)
The image is attached. Thanks! (There are two questions.)
Answer:
The domain is the set of x-values:
x = [-4, 4]The range is the set of y-values:
y = [-1, 2]Flip a fair coin 6 times. Let X be the number of heads in the rst 4 ips, and Y be the number of heads on the last 4 ips. Find Cov(X; Y ).
Answer:
Cov ( X, Y ) = 1/2
Step-by-step explanation:
X = Number of heads in the first 4 flips
Y = Number of heads in the last 4 flips
Given that X and Y are binomial variables hence
P( probability ) = 1/2
Find Cov( X; Y )
xi = result of the ith flip ∴ X = x1 + x2 + x3 + x4
yj = result of the jth flip ∴ Y = y3 + y4 + y5 + y6
covariance of xi and yi = 1/2 * 1/2 = 1/4 when i = j and it is = 0 when i ≠ j
hence Cov( X; Y ) can be expressed as
Cov( X; Y ) = ∑[tex]_{i}[/tex]^4 ∑[tex]_{j}[/tex]^6 ∴ Cov( Xi , Yj ) = 2/4 = 1/2 ( given that i = j )
Use Green's Theorem to evaluate the line integral along the given positively oriented curve.
∫ c(y+e√x)dx+(2x+cosy2)dy,
C is the boundary of the region enclosed by the parabolas
y=x^2 and x=y^2
Answer:
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy = 1/3
Step-by-step explanation: See Annex
Green Theorem establishes:
∫C ( Mdx + Ndy ) = ∫∫R ( δN/dx - δM/dy ) dA
Then
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy
Here
M = 2x + cosy² δM/dy = 1
N = y + e√x δN/dx = 2
δN/dx - δM/dy = 2 - 1 = 1
∫∫(R) dxdy ∫∫ dxdy
Now integration limits ( see Annex)
dy is from x = y² then y = √x to y = x² and for dx
dx is from 0 to 1 then
∫ dy = y | √x ; x² ∫dy = x² - √x
And
∫₀¹ ( x² - √x ) dx = x³/3 - 2/3 √x |₀¹ = 1/3 - 0
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy = 1/3
Now, find the difference. What is 3 1-14 6 8 1 3. 2 - 1 6 = 3 12 12
Answer:
3 1/2 - 1 4/6= 1 5/6
Step-by-step explanation:
Helppppp pleaseeeeeeee
Answer:
74 cm squared
Step-by-step explanation:
because each triangle will be 7, and each rectangle will be 20. (7*2)+(3*20)=74
Find the probability of the event that get an even number or multiple of 4, that is 4n, with given sample space S.
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
P(even# U 4n) = ?
Answer:
4, 8, 12 2, 6, 10, 14
7/15 chance of getting even of multiple of 4
I’ll give points + brainalist (:
Answer:
The right answer to the question is b
Answer:
B [tex]x \leq 1[/tex]
Step-by-step explanation:
Isolate the x.
[tex]-5x + 10 \geq 5\\-5x \geq -5\\x \leq 1[/tex]
The [tex]\geq[/tex] sign flipped to [tex]\leq[/tex] , because you're dividing with a negative number.
The dimensions of an iPhone are x – 2 and x + 3. If the area of an iPhone is 14 square inches, find the dimensions of the iPhone
Answer:
The dimensions of the iphone are 2 inches by 7 inches.
Step-by-step explanation:
Given that,
The dimensions of an iPhone are x – 2 and x + 3.
The area of an iphone is 14 sq inches
We need to find the dimensions of the iPhone. It is in the shape of a rectangle. Its area is given by :
[tex]A=l\times b\\\\(x-2)(x+3)=14\\\\x^2-2x+3x-6=14\\\\x^2+x-6-14=0\\\\x^2+x-20=0\\\\x^2+5x-4x-20=0\\\\x(x+5)-4(x+5)=0\\\\(x-4)(x+5)=0\\\\x=4\ and\ x=-5[/tex]
Neglecting negative value
First dimension = (x-2) = (4-2) = 2 inches
Other dimension = (x+3) = (4+3) = 7 inches
Hence, the dimensions of the iphone are 2 inches by 7 inches.
A red line and a blue line bus both left the stadium at 4:00 p.m.
Red line buses were scheduled to leave the stadium every 6 minutes.
Blue line buses were scheduled to leave the stadium every 8 minutes.
if the buses run on schedule, when is the next time a red line and a Blue line bus will leave together?
Answer:
4:24pm
Step-by-step explanation:
To answer this question, we need to find the LCM (Lowest common multiple) of 6 and 8 to find out when they will leave at the same time again.
To do this we can either list all the prime factors of each one and multiply the non-common ones:
6 = 2x3
8 = 2x2x2
2x2x3 = 24
OR we can list the multiples and find the lowest matching ones:
6 => 6, 12, 18, 24, 30
8 => 8, 16, 24, 32, 40
We can see that 24 is the least common factor.
This means that both busses will leave at the same time 24 minutes after 4pm.
Therefore the next time a red line and blue line bus will leave together is 4:24pm.
Hope this helped!
Find YZ.
Geometry, circles.
Answer:
YZ = 44
Step-by-step explanation:
(2x - 6) × 21 = (x + 1) × 30 => intersecting chords theorem
42x - 126 = 30x + 30
Collect like terms
42x - 30x = 126 + 30
12x = 156
12x/12 = 156/12
x = 13
✔️Find YZ:
YZ = 30 + x + 1
Plug in the value of x
YZ = 30 + 13 + 1
YZ = 44
How do we find the amount of change?
Step-by-step explanation:
Bigger -smaller
hope it is helpful to you
What is 34 x 45 - 14x (5235+-42) / 24x
Answer:
3(2040x-4039)/4x
Step-by-step explanation:
Use 4 terms of the series to approximate :
[tex]from \: trapezium \: rule \\ n = 4 \\ h = \frac{(1 - ( - 5))}{4} = \frac{3}{2} \\ from \: the \: pic \: \\ approximate \: value \: is \: 5.409[/tex]
Yall please help please
Which statement about the linear factors and zeros of a quadratic function is always
true?
A. The constants of the linear factors are the opposite of the function's zeros.
B. A function's zeros can be determined by setting each linear factor equal to 0 and
solving.
C. If a function's zero is an integer, then the coefficient of the variable in the linear factor
must be one.
D. Multiplying the constants of the linear factors gives one of the function's zeros, and
adding the constants gives the other zero.
Sandy can clean her room in 1/4 the time it takes her older brother to clean his. Sandy does the job in a half hour. How long does it take Sandy's brother to do it?
Answer:
2 hours
Step-by-step explanation:
Sandy is 4 times faster than her brother.1/2 hour x 4 =2hours
6
There are 6 classes going on a field trip. There are 24 students in each class.
There is another class going with 27 students.
6 equal classes
27
Which equation helps to find s, the number of students in all of the classes
going on the field trip?
А
5 = (24 x 6) x 27
B
S = 27 x 7
с
S = (24 x 7) + 27
D
S = (24 x 6) + 27
Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a standard deviation of minutes. Test the hypothesis that against the alternative that if a random sample of the test times of high school seniors has a standard deviation . Use a level of significance.
Complete question :
Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes, test the hypothesis, at the 0.05 level of significance.
Answer:
We conclude they there is significant evidence to support the claim That time required for high school seniors to complete test is less than 35 minutes.
Step-by-step explanation:
H0 : μ = 35
H1 : μ < 35
Sample size, n = 20
Standard deviation, s = 4.3
xbar = 33.1
Test statistic :
T = (xbar - μ) ÷ (s /√n)
T = (33.1 - 35) ÷ (4.3 /√20)
T = - 1.9 ÷ 0.9615092
T = - 1.976
The Pvalue can be obtained from the test statistic using a Pvalue calculator :
Pvalue at 0.05 ; df = 19 is 0.0314
Since, Pvalue < α ; We reject the Null and conclude that time required for high school candidate to complete test is less than 35 minutes
Which three-dimensional shape has 5 vertices?
A. Triangular prism
B. Rectangular pyramid
C. Triangular pyramid
Answer:
C. Triangular pyramid
Four base vertices and the upper peak vertice
What is the value of x?
Answer:
x = 16
Step-by-step explanation:
(8x - 16) + (3x +20) = 180
11x + 4 = 180
11x = 176
x = 16
what’s the slope ? please help , due in 20 min.
Answer:
-7/3
Step-by-step explanation:
You take two ( X,Y) points and subtract them to find the slope of the line.
23-16/-6-(-3) = -7/3
I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
CONFERENCES You are sitting down at a round table with 7 chairs for a business meeting. You notice that one of the chairs is shorter than the rest. If 7 people sit down at random, what is the probability that you will end up with the short chair?
A.1/42
B.1/42
C.1/6
D.1/7
two polynomials with a constant term of -3 with an explanation, thanks. didn't understand a thing in school.
20. what is measure of
Answer:
<D = 147 degrees
AB = 14
BC = 12
Step-by-step explanation:
From the given parallelogram;
<A and <D are supplementary, hence;
<A + <D = 180
33 + <D = 180
<D = 180 - 33
<D = 147 degrees
Since AB = CD
Hence AB = 14
Also since BC = AD, BC = 12
This shows that the opposite side of the parallelogram are parallel
Find the value of x in the triangle shown below.
a.x=24
b.x=135
c.x=24
d.x=12
Step-by-step explanation:
Solution given:
By using Pythagoras law
h²=p²+b²
15²=x²+9²
x²=15²-9²
x=√144=12
x=12 is your answer
Answer
Step-by-step explanation:
hope it is helpful to you
what is the unit rate of 10 1/3 miles per 1/6 hour
A. 60 mph B. 61 C. 62 D. 63
PLEASE HELP ME I NEED THIS TO PASS
Answer:
65°
Step-by-step explanation:
x + 25° = 90°
x = ( 90 - 25 )°
x = 65°
Write an integer to represent the price of a stock dropping $3
Answer:
-3
Step-by-step explanation:
The integer which represents the price of a stock dropping $3 is ''-3''.
Here,
The price of a stock dropping is $3.
We have to show this number in form of integer.
What is Integers?
An integer is a whole number that can be positive, negative or zero.
Now,
The price of a stock dropping is $3.
Since, the price of a stock is drop,
Hence, it represents by ''- 3''
So, The integer which represents the price of a stock dropping $3 is ''-3''.
Learn more about the integers visit:
https://brainly.com/question/17695139
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Please find the surface area
Answer:
so 3ft x 5ft would be 15ft for the top one or if its addition it would be 8ft
Step-by-step explanation: