The data below represents the number of workouts each member of Big Muscles Gym attended last month. 4,5,7,7,7,8,10,11,11,13,13,144,5,7,7,7,8,10,11,11,13,13,144, comma, 5, comma, 7, comma, 7, comma, 7, comma, 8, comma, 10, comma, 11, comma, 11, comma, 13, comma, 13, comma, 14 Which box plot correctly summarizes the data?
Given:
The data values are 4, 5, 7, 7, 7, 8, 10, 11, 11, 13, 13, 14.
To find:
The box plot for the given data set.
Solution:
The data values are
4, 5, 7, 7, 7, 8, 10, 11, 11, 13, 13, 14
Divide these values in two equal parts.
(4, 5, 7, 7, 7, 8), (10, 11, 11, 13, 13, 14)
Divide each group again in two equal parts.
(4, 5, 7), (7, 7, 8), (10, 11, 11), (13, 13, 14)
Here,
Minimum value = 4
[tex]Q_1=\dfrac{7+7}{2}=\dfrac{14}{2}=7[/tex]
[tex]Median=\dfrac{8+10}{2}=\dfrac{18}{2}=9[/tex]
[tex]Q_3=\dfrac{11+13}{2}=\dfrac{24}{2}=12[/tex]
Maximum value = 14
It means, the starting point is 4 and end point is 14 of the box plot.
Box is lies from 7 to 12 and one line inside the box at 9.
Therefore, the box plot of the given data set is shown below.
using long Division perform (a²-22a+17)÷(a-13)
Answer:
wherw are yiu coms on email kingrizvi218
The graphs below have the same shape what is the equation of the blue graph
Answer: g(x) = (x-2)^2 + 1. Choice C
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Explanation:
The graphs have the same shape, which means they have the same 'a' value.
In this case, a = 1.
The vertex of the red graph is (0,0).
The vertex of the blue parabola is (2, 1)
The red curve has been shifted 2 units to the right and 1 unit up.
Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.
Plug a = 1, h = 2 and k = 1 to get...
y = a(x-h)^2 + k
y = 1(x-2)^2 + 1
g(x) = (x-2)^2 + 1
Answer:
C.
Step-by-step explanation:
Since the blue graph shifted up by 1 unit, it would be +1 at the end of the quadratic function. Then, because the graph also shifted to the right 2 units, the blue graph subtracts from f(x)=x^2 (it does the opposite).
You toss a coin, roll a dice, and choose a card out of 52 decks of cards. What is the likely hood that you will toss tails, roll an odd number, and choose ace.
Answer:
~0.02% chance
Step-by-step explanation:
coin: 1/2 chance
dice: 3/6 chance
cards: 4/52 chance
1/2x3/6x4/52 = 0.02% percent chance
Write equation line that passes through (2,2) and is parallel to line y=3x+9
An equation of parallel line is y=___
Answer:
Step-by-step explanation:
The slope is in the given line. It is the number in front of the x which is 3.
So far what you have is
y = 3x + b
Now use the point to find b
x = 2
y = 2
Substitute
y = 3*2 + b
2 = 6 + b
2 - 6 = b
b = - 4
y = 3x - 4
Solve for f(-1) =
f(x)= (x+8)²+21
Step-by-step explanation:
f(-1) = [(-1) + 8]² + 21 = 7² + 21 = 70.
Answer:
(x+8) 2+21
..................
Find all the Missing Angles
Answer:
need more information
The intensity,I, of light received at a source varies inversely as the square of the distance, d, from the source. If the light intensity is 33 foot-candles at 20 feet, find the light intensity at 5fee
Answer:
The light intensity is 528 foot-candles at 5 feet
Step-by-step explanation:
If x and y are in inverse variation, then x y = k, where k is the constant of variation
In the given question
∵ The intensity I, of light received at a source, varies inversely as the
square of the distance d, from the source
→ That means I × d² = k, where k is the constant of variation
∴ I × d² = k
∵ I = 33 foot-candle at d = 20 feet
→ Substitute them in the rule above to find k
∴ 33 × (20)² = k
∴ 33 × 400 = k
∴ 13200 = k
→ Substitute the value of k in the equation
∴ I × d² = 13200 ⇒ equation of variation
∵ d = 5
→ Substitute it in the equation to find I
∵ I × (5)² = 13200
∴ I × 25 = 13200
→ Divide both sides by 15
∴ I = 528
∴ The light intensity is 528 at 5 feet
what is the percent 12 of 30
40%
We get: 40% of 30 is 12.
Is this true?
Yes! 40% of 30 = (0.4)(30) = 12
Write an equation in point slope form for each line.
(1,6) and (2,3)
Question
How do you write the equation of a line in point slope form and slope intercept form given point (6, -3) and has a slope of 1/2?
Answer · 0 votes
Point-Slope Form is y+3=12(x−6) Slope-Intercept Form is y=12x−6 Explanation: .
Write a line function with a slope of 5 that passes through the point of (2,1)
Answer: 5x - 9
Hope this helps :)
Answer:the other one is wrong
Step-by-step explanation:5x - 9is wrong
solve the literal equation for f: - 3f = g for f
A.f=g/-3
B.g+3=f
C.f=g-3
Answer:
i think its a
Step-by-step explanation:
3.3 x 10*9 +2.6 x 10*9 +7.7 × 10*8
Answer:
23.4x10+913
Step-by-step explanation:
Answer:
1147 okayyyyyyyyyyyyyyyyyyhhhhyhhhhhhyyyyyyyy
Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.
Answer:
The 45th term is equal to -209.
Step-by-step explanation:
I got stuck on this question for six attempts. Therefore I started trying other methods. I started with a10=1 and then subtracted 6 to get a11=-5. I continued this process until I reached a45=-209
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The 45th term for the arithmetic sequence is -209.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
Given that the 10th term of the arithmetic series is 1, while the common difference of the arithmetic series is -6. Therefore, 10th term of the series can also be written as,
aₙ = a₁+(n-1)d
1 = a₁+(10-1)(-6)
1 = a₁ + (9)(-6)
1 = a₁ - 54
a₁ = 55
Now, the 45th term for the arithmetic sequence is,
aₙ = a₁ + (n-1)d
a₄₅ = 55 + (45-1)(-6)
a₄₅ = 55 - 264
a₄₅ = -209
Hence, the 45th term for the arithmetic sequence is -209.
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I was at a farm this farm raises cows and chickens I manage to count the number of heads and legs on the form I counted a total of 26 heads and a total of 62 legs can you figure out the number of cows and chickens the farmer has
Answer:
5 cows, 21 chicken
Step-by-step explanation:
5 cows; 20legs
21chickens; 42legs
26heads; 62legs
The amount of concrete, c, needed to make a walkway around a circular swimming pool varies directly as the square of the diameter, d, of the
pool. Which statement is true?
OA If the diameter of the pool is doubled, the amount of concrete needed is multiplied by 2.
•B. If the diameter of the pool is doubled, the amount of concrete needed is multiplied by 4.
OC. If the diameter of the pool is halved, the amount of concrete needed is multiplied by 2.
OD. If the diameter of the pool is halved, the amount of concrete needed is multiplied by 4.
Answer:
Step-by-step explanation:
For all Plato users
The amount of concrete needed after doubling the diameter of the circle will be multiplied by 4 by the initial amount. Hence, the correct option is (B).
What are direct proportions?Direct proportions are the proportions where a variable changes with another variable by direct mean so the coefficient of constant will be direct.
For example y ∝ x² here y varies with respect to x square.
y = Kx² where k will be the coefficient of constant.
Given that amount is Amount ∝ d²
Amount = k d²
By doubling the diameter
Amount = k (2d)²
Amount = 4 kd²
Amount = 4 × initial amount hence, the amount will be multiplied by 4.
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zero of functions equations
Answer:
what?
Step-by-step explanation:
Dan can ride his skateboard 2 miles in 10 minutes. How many miles can he ride his skateboard in 30 minutes?
Answer:
6
Step-by-step explanation:
Due at midnight!!! Help
The table below shows four systems of equations:
System 1 System 2 System 3 System 4
4x − 5y = 2
3x − y = 8 4x − 5y = 2
10x − 7y = 18 4x − 5y = 2
3x − 8y = 4 4x − 5y = 2
10x + 3y = 15
Which pair of systems will have the same solution? (5 points)
Hari's weekly allowance varies depending on the number of chores he does. He received $20 in allowance the week he did 14 chores, and $14 in allowance the week he did 2 chores. Write an equation for his allowance in slope-intercept form. The equation for Hari's allowance in slope-intercept form is
explain better or brainliest cant do that
Find the measure of the numbered angle.
m∠3 =
Answer:
<3 = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180
<1 + 40 + 90 = 180
<1 + 130 = 180
<1 = 50
<1 and <3 are vertical angles and vertical angles are equal
using y=mx+b find the slope for
x + 2y = -8
Answer:
y=1/2x-4
Step-by-step explanation:
juan has $1.30 in dimes and nickels he has a total of 15 coins how many dimes does juan have
Answer:
11 dimes and 4 nickles
Step-by-step explanation:
Answer:
11 dimes equals 1.10 and 4 nickels equals 20 cents
Step-by-step explanation:
Maya and Edward cut lawns in the summer to earn spending money. Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Working together they can both cut a lawn in 18 minutes. How long would it take Edward to cut a lawn alone?
Answer:
The answer would be 45 minutes.
Step-by-step explanation:
Just skipped to the answer on Edementum.
A fraction is a way to describe a part of a whole. The time it takes Edward to cut the lawn alone is 45 minutes.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let the time taken by Maya to lawn the garden be x.
The rate at which Maya lawn = 1/x
Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Therefore,
The rate at which Edward lawn = 1/(x+15)
Working together they can both cut a lawn in 18 minutes.
The rate at which they both work = 1/18
Now, the rate of working can be compared as,
1/x + 1/(x+15) = 1/18
(x+ x + 5)/x(x+15) = 1/18
(2x + 15)18 = x(x+15)
36x + 270=x² + 15x
x²-21x-270=0
x = 30, -9
Since time can not be negative. Therefore, the time it takes Edward to cut the lawn alone is,
x + 15
= 30 + 15
= 45 minutes
Hence, the time it takes Edward to cut the lawn alone is 45 minutes.
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Write the equation of the line given the slope and the point that it passes through.
m = 2/7
point = (1, 2)
Answer:
slope (m)= 2/7
X1= 1
y1= 2
formula from equation of the line:
1. Y2 - Y1/ X2 - X1 ( if you know 2 point )
2. y - y1 = m × ( x - x1 ) (if you know the slope and 1 point )
3. mx + c = y ( if you know the slope and the y-axis )
because the known gradient and 1 point, then use the formula number 2.
let's get into the formula:
y - y1= m × (x -x1)
y - 2 = 2/7 × ( x - 1 )
y - 2 = 2/7x - 2/7
y= 2/7x - 2/7 + 2
y = 2/7x + 12/7
5(88) using distributive property and mental math
PLZ HELP ME ASAP!!!!
Answer:
I cant see the picture
Step-by-step explanation:
I cant see the picture
C.B. Clothing ordered sweaters at a wholesale cost of $20 each. The store marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the sweater didn't sell, the store reduced the selling price by 20 percent. After how many monthly price reductions did the price dip below the wholesale cost? after 1 monthly price reduction after 2 monthly price reductions after 3 monthly price reductions after 4 monthly price reductions
Answer: after 2 monthly price reductions
Step-by-step explanation:
Given that :
Wholesale cost = $20 each
Markup = 50%
Selling price = $20 + (50% * 20) = $30
After each month selling price reduces by 20%;
Dip in price per month for which item didn't sell ;
Let m = Number of months
$30 - 0.2(30)m = $30 - 6m
After how many monthly price reductions did the price dip below the wholesale cost?
$30 - 6m < $20
-6m < $20 - $30
-6m < - $10
m > 10/6
m > 1.667
m = 2
After 2 monthly price reduction
Answer:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
which statements are true check all that apply please help
Answer:
a c and d
Step-by-step explanation:
lmk if you need work
and remember that when it is negative, the value that is closer to 0 is greater