The better statistics which can be used to compare the given distributions are mean and standard deviation.
What is a z-core?A z-core is also referred to as a standard score and it can be defined as a statistical measure of the distance between a data point (raw score) and the mean, especially when standard deviation units are used.
In Mathematics, z-scores can either be negative or positive and it is generally calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\delta}[/tex]
Where:
x is the observed data or sample mean.u is the mean.[tex]\delta[/tex] is the standard deviation.In conclusion, the better statistics which can be used to compare the given distributions are mean and standard deviation.
Read more on standard deviation here: https://brainly.com/question/4302527
Find a 20 given that a 3 = 9 and a 8 = 24
Answer:
a₂₀ = 60
Step-by-step explanation:
Given :-
a₃ = 9
a₈ = 24
To find :-
a₂₀
Solving :-
Expand the given values.
a + 2d = 9 -(1)
a + 7d = 24 -(2)
Now subtract (1) from (2).
=> 5d = 15
=> d = 3
a = 9 - 2d
a = 9 - 6
a = 3
Final answer :-
a₂₀
= a + 19d
= 3 + 19(3)
= 3+ 57
= 60
a₂₀ = 60
Simplify the following rational expression
8x²/12x⁴
[tex] \sf \frac{8 {x}^{2} }{12 {x}^{4} } [/tex]
Reduce the like terms with a common factor 2
[tex] \sf \frac{8}{12 {x}^{2} } [/tex]
Reduce the fraction with 4
[tex] \sf \frac{2}{3 {x}^{2} } [/tex]
The perimeter of a rectangular garden is 280 m.
If the length of the garden is 81 m, what is its width?
Answer:
59m
Step-by-step explanation:
280 =81+81 +w + w
280=162+2w
2w =280-162
w=118/2
w=59m
The location x of a car in meters is given by the function x = 30t - 5t^2 where t is in seconds. At the time when the car is moving at 10 m/s in the direction opposite to its initial motion, how far is the car from where it was at t = 0? Show all your work.
So, how far is the car from where it was at t = 0 is 40 m
Velocity of the carSince the location x of the car in meters is given by the function x = 30t - 5t² where t is in seconds, we need to find the time at which its velocity is 10 m/s in the negative direction by differentiating x with respect to t to find its velocity, v.
So, v = dx/dt
= d(30t - 5t²)/dt
= d30t/dt - d5t²/dt
= 30 - 10t
When v is 10 m/s in the negative direction, v = -10 m/s.
So, v = 30 - 10t
-10 = 30 - 10t
-10 - 30 = -10t
-40 = -10t
t = -40/-10
t = 4 s
The distance at 4 s when its velocity is -10 m/s
Since at t = 4 s, its velocity is -10 m/s and x = 30t - 5t² is the car's location. The car's distance from t = 0 after its velocity is -10 m/s is
x(4) - x(0) = 30(4) - 5(4)² - [30(0) - 5(0)²]
= 120 - 5(16) - [0 - 0]
= 120 - 80 - 0
= 40 m
So, how far is the car from where it was at t = 0 is 40 m
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What is the x-intercept of the graph below?
Answer:
-3
Step-by-step explanation:
The line crosses at -3 on the x axis
What % of 360 is 108?
108/360 x 100% = 30%
HELP ME THANK U !
check attachments
Answer:
Translations reflections, and rotations
are
Step-by-step explanation:
Hope this helps
Question 1 : Translations Reflections, And Rotations
Question 2 : And
◊ YusuCr ◊
Please help!!!!!! 70 points
Answer:
The Table is Correct
Step-by-step explanation:
You find probability by multiplying and that is what they did
[tex]0.52*0.52=0.2704\\0.52*0.48=0.2496\\0.48*0.48=0.2304[/tex]
A sequence is shown in the graph.
Assuming the pattern continues, what is the formula for the nth term?
A. an = 6(2n)
B. an = 2(6n − 1)
C. an = 6(0.5n − 1)
D. an = 6(0.5n + 1)
Explanation:
Focus on the y coordinates. They are: 6, 3, 1.5, 0.75
Divide each by their previous term
3/6 = 0.51.5/3 = 0.50.75/1.5 = 0.5We have a common ratio of r = 0.5
This proves we have a geometric sequence.
The starting term is a = 6
The nth term is [tex]a_n = a(r)^{n-1} = 6(0.5)^{n-1}[/tex] which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)
A rectangular folder has a perimeter of 46 inches and an area of 130 square inches. What are
the dimensions of the folder?
Answer:
13 inches and 10 inches
Step-by-step explanation:
First, let's find the factor pairs that make up the area of 130 square inches.
1, 1302, 655, 2610, 13Next, let's see the factor pairs that make a perimeter of 46 inches by using the formula 2(l + w).
2(1 + 130) = 2(131) = 2622(2 + 65) = 2(67) = 1342(5 + 26) = 2(31) = 622(10 + 13) = 2(23) = 46Therefore, the dimensions of the folder are 13 inches and 10 inches.
The sum of a number and eight and three times the same number is at most two times a number plus six
Solve and translate the sentence
Answer:
x > -2
Step-by-step explanation:
x+8+3x>2x+6
4x+8>2x+6
4x-2x>6-8
2x> -2
x > -2
If two sides of a triangle measure 18 centimeters and 22 centimeters what could be the measure of the third side
Answer:
see explanation
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
22 - 18 < x < 22 + 18
4 < x < 40
3rd side can be any value from 5 to 39
Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.
The slope of the line is .
When the point (7, –4) is used, the point-slope form of the line is .
The slope-intercept form of the line is
Answer:
point slope form= y+4 = -7/8( x-7 )
slope intercept form y = -7x/8 +17/8
Answer: 1. -7/8 2. y+4=(-7/8)(x-7) 3. y= (-7/8)x + (17/8)
Step-by-step explanation: on EDGE
What is the correct way to Rewrite this addition problem? 1/12 + 1/4
A. 1/12 + 3/12
B. 2/12 + 1/12
C. 1/3 + 1/4
NO LINKS!!!
HELP me with this problem.
Answer:
B) Least 10 hours, greatest 14 hours
Step-by-step explanation:
The range of sin(x) is -1 ≤ sin(x) ≤ 1
Therefore, the range of [tex]\sin(\frac{\pi }{6}t)[/tex] is [tex]-1\leq \sin(\frac{\pi }{6}t)\leq 1[/tex]
Therefore, the range of [tex]2 \sin(\frac{\pi }{6}t)[/tex] is [tex]-2\leq 2 \sin(\frac{\pi }{6}t)\leq 2[/tex]
This means the range of [tex]2 \sin(\frac{\pi }{6}t)+12[/tex] is [tex]10\leq 2 \sin(\frac{\pi }{6}t)+12\leq 14[/tex]
here a subtraction problem that has been solved incorrectly for 21-9=11 choose the addition sentence that check this subtraction problem what is the answer
Answer:
21-9 = 12
Step-by-step explanation:
I don't know if this is the correct sentence you are looking for though but i hope it helps
The height of a triangle is 8 centimeters greater than three times its base. The area of the triangle is 128 square centimeters. What is the base of the triangle?
Answer:
base = 8 cm
step-by-step explanation:
Let the base be "b"
Then the height will be "3b + 8"
Therefore use the following to find area:
[tex]\rightarrow \sf \frac{1}{2} * base * height = area \ of \ triangle[/tex]
[tex]\rightarrow \sf \frac{1}{2} * b* (3b+8)= 128[/tex]
[tex]\rightarrow \sf \frac{1}{2} * b* (3b+8)= 128[/tex]
[tex]\rightarrow \sf 3b^2+8b= 128*2[/tex]
[tex]\rightarrow \sf 3b^2+8b=256[/tex]
[tex]\rightarrow \sf 3b^2+8b-256=0[/tex]
[tex]\rightarrow \sf 3b^2+32b-24b-256=0[/tex]
[tex]\rightarrow \sf b(3b+32)- 8(3b+32) =0[/tex]
[tex]\rightarrow \sf (b- 8)(3b+32) =0[/tex]
[tex]\rightarrow \sf b = 8, \ -\dfrac{32}{3}[/tex]
Therefore "b", base is 8 cm and height = 3(8) + 8 = 32 cm
Jinkie's Jumpin' Junkfood's "Jammin' Jazzy Candy Bar normally sells for $15.
Right now they are selling at o 40% discount. Oliver also has a coupon that allows
him to take 30% off the sale price at the register. How much does Oliver pay?
Answer:
Oliver pays $6.30
Step-by-step explanation:
Selling price = $15
At discount of 40%, Jinkie's Jumpin' Junkfood's sells for;
[tex]15-(15~x~0.4)=15-6[/tex]
[tex]15-(15~x~0.4)=9[/tex]
But Oliver also has a coupon worth 30% discount off the same price at register;
[tex]9-(9~x~0.3)=9-2.7[/tex]
[tex]9-(9~x~0.3)=6.3[/tex]
Thus, Oliver pays $6.30
The table shows how many slices of cake were sold during the week. Each slice of cake is equivalent to 116 of a cake. Determine if each statement is true by selecting Yes or No.
Answer:
the answer is yes
Step-by-step explanation:
trust
Answer:
the answer is Yes
HELP WILL MARK AS BRAINLIEST 1. Ali earned $6.50 per hour for babysitting. If she earned $113.75 last week, how many hours did she work?
Equation: 6.5x = 113.75 Solution:
put solution in as an improper fraction or decimal. and will give you 75 points
Answer:
[tex]\mathsf{x=\dfrac{35}{2}}[/tex] or [tex]\mathsf{x=17.5}[/tex]
Step-by-step explanation:
Given:
Babysitting rate = $6.50 per hourWeekly income = $113.75Let x = number of hours worked
⇒ 6.5x = 113.75
[tex]\implies \mathsf{x=\dfrac{113.75}{6.5}}[/tex]
[tex]\implies \mathsf{x=\dfrac{35}{2}}[/tex]
[tex]\implies \mathsf{x=17.5}[/tex]
Pls help with this
There will be pic if u click
answer:
3/11
step-by-step explanation:
— since they have the same denominator you just have to subtract the numerator
8 / 11 - 5 / 11 = it would be just subtracting 8 - 5, which is 3
— so, 3/11
Hey there!
8/11 - 5/11
= 8 - 5 / 11 - 0
= 3 / 11
Therefore, your answer is: 3/11
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
1.) We cannot construct a triangle if two of its angles are of measures
__________________.
a) 120°, 30°
b) 60°, 90°
c) 95°, 90°
d) 60°, 60°
1.) We cannot construct a triangle if two of its angles are of measures
C. 95°, 90°We cannot construct such angle because when one angle is 90°, others cannot be close to it because it will form a right angle triangle and we know that it has 3 angles. Also if the angle will 95°, it will be wrong since the sum of all angles must be 180°...
Answer:
95,90
Step-by-step explanation:
According to angle sum property the sum of angles of a triangle is 180°
So here that be x
x=180-(95+90)=180-185=-5°Angle can't be negative
Compare the numbers 289.4 and 289.400 using >,<, or =
Answer:
289.4=289.400
Step-by-step explanation:
They're the same it's just that 289.400 has the extra zero's which can make it seem like they're different but they have the same value so they're equal to each other.
Work out the missing value in the estimation below.
237 + 462 ~ 200 +
Answer:
Step-by-step explanation:
237 + 462 ~ 200 + 500 = 700
462 is rounded to hundred. ten's place 6 is there which is ≥ 5. If it is ≥ 5then add 1 to hundred's place.
462 ` 500
What is the full form of nasa come dsakdfeojf
Answer:
national aeronautics and space administration
Step-by-step explanation:
nasa was started on October 1 ,1958 as a part of united States
HELP
PLEASEEE NEED THIS ASSPPP!!!!!!
Answer:
-2/9
Step-by-step explanation:
5/4 - 1/3 - 1/2? What i the answer
Answer:
The answer is 5/12
To solve this, we first have to find a common denominator between the three fractions.
To find a common denominator, which is a multiple that all of the bottom parts of the fractions share, we just have to start guessing.
What is a multiple 4, 3, and 2 all share?
Well, 3 and 2 both share the multiple 6, but 4 doesn't.
What about 12?
4 x 3 = 12
3 x 4 = 12
2 x 6 = 12
All of the numbers share the common denominator of 12
So, we have to multiply all the top numbers now.
5 x 3 = 15
1 x 4 = 4
1 x 6 = 6
So here are our 3 new fractions:
15/12 - 4/12 - 6/12
Now this is a lot easier to solve
15/12 - 4/12
15 - 4 = 11
11/12
11/12 - 6/12
11 - 6 = 5
5/12
The answer is 5/12
WILL MARK BRAINLIEST
The following questions are about"The Middle Passage" by Oladaugh Equiano
Use the following passage to answer questions 1 & 2:
"One day, when all our people were gone out to their works as usual, and only i and
my dear sister were left to mind the house, two men and a woman got over our
walls, and in a moment seized us both, and, without giving us time to cry out, or
make resistance, they stopped our mouths, and ran off with us into the nearest
wood. Here they tied our hands and continued to carry us as far as they could, till
night came on when we reached a small house, where the robbers halted for
a
refreshment and spent the night. We were then unbound, but were unable to take
any food; and, being quite overpowered by fatigue and grief, our only relief was
some sleep, which allayed our misfortune for a short time.
1. How do you know this is a nonfiction piece?
The author uses words including "dear sister."
The author wrote, "where the robbers halted for refreshment..."
The author wrote phrases including "our people, I and my dear sister,"
and "us time."
The author wrote, "overpowered by fatigue and grief..."
2. What is the denotative meaning of "allayed" in the above passage?
aggravated
relieved
intensified
stirred
0000
1. We can dictate that this story "The Middle Passage" by Olaudah Equiano is a nonfiction piece because of C. The author wrote phrases including "our people, "I and my dear sister," and "us" several times.
What is nonfiction?Nonfiction is a piece of writing based on factual events and real occurrences. Nonfiction involves real people, places, and events.
Unlike fiction, nonfiction does not embellish the stories to attract the readers' attention but tells the simple truth.
2. The denotative meaning of "allayed" in the above passage is B. relieved.
What is meant by denotative meaning?Denotative meaning shows the explicit or direct meaning of a word or an expression.
The denotative meanings of words and expressions can be distinguished from their associated or connotative ideas or meanings by the direct references made on the subject.
Learn more about "The Middle Passage" by Olaudah Equiano at https://brainly.com/question/10877643
6 ft
2 ft
5 ft
3 ft
7 ft
Need volume
Answer:
Volume is 75 ft^3
Step-by-step explanation:
v1=1x1x5 v2=5x7x2
v1=5 v2=35x2
v=5+70
v=75
2log5−log(x+2)=1−log(2x−1)