Step-by-step explanation:
C. Midpoint
The average is the distance of the line divided by 2
What is the variance of the data set? round to the nearest hundredths. 0.40 0.72 1.15 2.14
The variance of the data set is 0.43.
What is the variance?The variance is used to measure the spread or the dispersion of a dataset using all the data points in the dataset. The variance is the sum of the squared difference between the data point and the mean.
The first step is to determine the mean: (0.40 + 0.72 + 1.15 + 2.14) / 4
= 4.41 / 4= 1.10
The second step is to subtract the mean from each of the data point and square the difference:
(0.40 - 1.10) ² = 0.49(0.72 - 1.10)² = 0.14(1.15 - 1.10)² = 0.0025(2.14 - 1.10)² = 1.08Add the sum of the squared differences and divide by 4 : 1.7125/4 = 0.43
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PLEASE HELP ME!!!!!!!
Graph the function () = 12 (2) squared on the coordinate plane
The coordinates are
-2,4
-1,1
0,0
1,1
2,4
if a area of a rectangle is 45...
set up an equation that must be true:
w = x
L = x-4
Answer: x times (x-4)=45
Step-by-step explanation:
First since the area is 45 that’s what the equation has to be equal to.
To find the area you always have to do length times width. So the width (x) times the length (x-4) equals 45.
Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account.
Answer:
Step-by-step explanation:
A reasonable estimate of the amount Donna is left with each week after the money is deducted: $980. 1404*.19=266.76 ; 1404*.12=168.48 ; 1404-266.76-168.48=968.76 or estimated as $980.
#19. find the perimeter and the area of the figure
Answer:
Perimeter = 56 m
Area = __ m^2
Step-by-step explanation:
Perimeter = ___ m
Area = __ m^2
To find Perimeter, you have to add up all the sides of the shape,
5 + 5 + 5 + 11 + 7 + 7 + 16
= 56 m
Perimeter = 56 m
To find area, you have to multiply length times width,
5 × 5 = 25
7 × 16 = 112
112 + 25 = 137
Area = 137 m^2
Therefore the perimeter of this shape is 56 m and the area of this shape is 137m^2.
Graph on the same axes: y =x^2-4 and y=4-x^2. Write an equation for the part of the graph which is above of the x-axis.
The graph can be seen at the end, and the piecewise function for the part above the x-axis is:
f(x) = x^2 - 4 if x ∈ (-∞, -2] or x ∈ [2, ∞)
f(x) = 4 - x^2 if x ∈ (-2, 2).
How to write the equation?
First, we need to graph both functions, so we can see when each one is positive, the graphs of:
y = x^2 - 4
y = 4 - x^2
Can be seen at the end.
So, the first function is positive in the interval (-∞, -2] and [2, ∞), and the second function is positive in the interval (-2, 2)
So for the part of the function above the x-axis we have a piecewise function:
f(x) = x^2 - 4 if x ∈ (-∞, -2] or x ∈ [2, ∞)
f(x) = 4 - x^2 if x ∈ (-2, 2).
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Answer:
y= |x^2-4|
Step-by-step explanation:
Once you graph y=x^2-4 and y=4-x^2, you will get a graph like the first picture. The equation for the parts above the x-axis would be y=|x^2-4| and would graph like the second picture.
i need help pllllzzzzz help help
Answer:
a = 84/14
Step-by-step explanation:
The next step you would divide by 14 to get a=6 so I think the program wants you to input a = 84/14
A banker has a salary of £65000.
a) She is paid a bonus of £40000. What percentage of her salary is that?
b) She is given a pay rise of 16%. What is her new salary?
Answer:
I can only answer b but I hope it helps
B = £75,400
Explanation:
10% is £6500
6 % is £3900
=£10,400
+the original pay
=£75,400
That is her new salary
Find the values of x for which the function is continuous.
f(x) =
−3x + 7 if x < 0
x^2 + 7 if x ≥ 0
a.x ≠ 0
b.x ≥ 0
c.x ≥ root square 7
d.all real numbers
e.x ≠ 7
It looks like the given function is
[tex]f(x) = \begin{cases}-3x + 7 & \text{if }x < 0 \\ x^2+7 & \text{if }x \ge0\end{cases}[/tex]
The two pieces of f(x) are continuous since they are polynomials, so we only need to worry about the point at which they meet, x = 0. f(x) is continuous there if
[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0^+} f(x) = f(0) = 7[/tex]
To the left of x = 0, we have x < 0, so f(x) = -3x + 7 :
[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0} (-3x + 7) = 7[/tex]
To the right of x = 0, we have x > 0 and f(x) = x² + 7 :
[tex]\displaystyle \lim_{x\to0^+} f(x) = \lim_{x\to0} (x^2 + 7) = 7[/tex]
So f(x) is continuous at x = 0, and hence continuous for all real numbers.
17. Write interval notation for the given graph.
Answer:
D
Step-by-step explanation:
The interval notation for the graph :
-5 ≤ x ≤ 7[5, 7]6) please help solve sin²3theta=1
Answer:
Step-by-step explanation:
Find the area of this circle. Use 3 for pi
Answer:
243 in²
Step-by-step explanation:
Diameter = 18 in
Radius ( r ) = Diameter / 2 = 18 / 2
r = 9 in
π = 3
To find : Area of circle ( A )
Formula : -
A = πr²
A = 3 x 9²
= 3 x 9 x 9
A = 243 in²
1. Kedir bought 18 pieces of glasses out of a box of glasses. If these are 75% of the total, how many glasses did the box contain?
Answer:
24 pieces of glass
Step-by-step explanation:
HELPPP. DO TODAY SO PLEASE HELP!!!!!!!!!!
Answer:
47/6cm or [tex]7\frac{5}{6}[/tex]cm
Step-by-step explanation:
FE= [tex]2\frac{2}{3}[/tex]
FA= 5/12
AB= 2/3
CD=2
ED=[tex]1\frac{1}{4}[/tex]
BC= 5/6
All=47/6 or [tex]7\frac{5}{6}[/tex]
In a certain Algebra 2 class of 26 students, 21 of them play basketball and 7 of them play baseball. There are 2 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
Step-by-step explanation:
[tex]\frac{21}{26}*\frac{7}{26}\\ =\frac{147}{676}[/tex]
The probability of students who plays both basketball and baseball is 2/13
What is Set Theory Formula?
The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.
Given data ,
Let the number of students who plays basketball and baseball = n ( A ∩ B )
Let the number of students who plays basketball be = n ( A )
The value of n ( A ) = 21
Let the number of students who plays baseball be = n ( B )
The value of n ( B ) = 7
Now , 2 students does not play any sports out of the 26 students
So , n ( A ∪ B ) = 26 - 2
n ( A ∪ B ) = 24
Now , from the set theory formula ,
n(A∪B) = n(A) + n(B) - n(A⋂B)
Substituting the values in the equation , we get
24 = 21 + 7 - n ( A ∩ B )
Adding n ( A ∩ B ) on both sides , we get
n ( A ∩ B ) + 24 = 28
Subtracting 24 on both sides , we get
n ( A ∩ B ) = 4
So . the number of students who plays both basketball and baseball = 4
And , the probability that the student chosen plays both basketball and baseball = number of students who plays both basketball and baseball / Total number of students
Probability that the student chosen plays both basketball and baseball
= 4 / 26
= 2 / 13
Hence , The probability of students who plays both basketball and baseball is 2/13
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10. Find the standard equation of the circle having the given center and radius.
2/11 as a decimal rounded to 3 places
Answer:
0.182
Step-by-step explanation:
2 / 11 = 0.181818...repeating
0.1818 round up since the 4th number 8 > 5
Answer:
0.182
Step-by-step explanation:
:)
Solve using substitution
Answer:
The answer should be "No Solution" as these lines never meet each other
Find the circumference,
18 ft
Answer:
56.549 feet
Step-by-step explanation:
Diameter. ft in m
18′0″ 56.55. 678.6 17.24
18′1″ 56.81.
18′2″ 57.07. 684.9
18′3″ 57.33. 688.0
18′4″ 57.60. 691.2
18′5″ 57.86. 694.3 17.64
18′6″ 58.12. 697.4 17.71
18′7″ 58.38 700.6 17.79
18′8″ 58.64 703.7 17.87
18′9″ 58.90. 706.9 17.95
18′10″ 59.17. 710.0 18.03
18′11″ 59.43. 713.1 18.11
The fulcrum of a lever is the point on which it turns. based on the function, how many pounds of force are needed to lift the rock if the distance from the fulcrum is 6 feet? pounds of force
The amount of force that is required to lift the rock if the distance from the fulcrum is 6 feet is 10 lb of force.
Calculations and Parameters:Based on the given graph, we can see the curve passing through the point (1.5,40), (2,30), (2.5,24), (3,20), and (4,15).
These points satisfy by the equation
y= 60/x
and,
x is the distance in feet from the fulcrum y is needed force in pounds.If we input the value of x into the equation,
y= 60/6
= 10 lbs of force.
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Answer:
Keep it simple: answer 10
Step-by-step explanation:
share $660 in the ratio of 2: 3: 5.
Answer:
132:198:330
Step-by-step explanation:
You can take the total amount of $660, then divide it by how many parts you have, which is ten. You then get $66, which you can then multiply by the amount for each part of the ratio (2, 3, 5)
Answer:
132$ ,198$, 330&
Step-by-step explanation:
2+3+5=10
2/10×660$
=132$
3/10×660$
=198$
5/10×660$
=330$
PLEASE HELP ILL MARK BRAINEST!!!!
Can someone help me with this question?
Answer:
5 possible outcomes
1. All 4 are heads,
2. All 4 are tails,
3. 3 are heads and 1 tails,
4. 2 are heads and 2 are tails,
5. 1 is tails and three are heads.
Step-by-step explanation:
On one side of a coin it’s heads, and on the other it’s tails.
there are 4 coins
(Coin side, coin side, coin side, coin side)
Possibilities;
(Heads, heads, heads, heads)
all four coins are heads
(Heads, tails, heads, heads)
three coins are heads and one tails
(Heads, tails, tails, heads)
two coins are heads, two coins are tails
(Heads, tails, tails, tails)
one coin is heads, the other three are tails
(Tails, tails, tails, tails)
all four coins are tails.
5 possible outcomes
What is the volume of this aquarium?
Answer:
9000 in³
Step-by-step explanation:
Small cube:
Volume = length x width x height
= 10 x 10 x 10 = 1000 in³
Big cube:
width (front) = 20
length (side) = 10 + 10 = 20
height (back) = 10 + 10 = 20
V = 20 x 20 x 20 = 8000 in³
Total volume: 1000 + 8000 = 9000 in³
Work out m and c for the line: 5 x − 3 y + 4 = 0
Step-by-step explanation:
5x - 3y + 4 = 0
we rearrange it to look like this:
y = mx + c
3y = -4 - 5x
we can also write it like this so it rhymes with the formula
3y = -5x - 4
y = -5x - 4 / 3 (the division sign is dividing all the numbers and not only 4 ).
Soo..
y = -5x/3 -4/3
y = mx. + c
so
m = -5/3
c = -4/3.
Hope this helps.
Good luck ✅.
[tex]\rule{200}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Work out m and c for the line 5x-3y+4=0.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We can't determine the slope (m) and the y-intercept (c) yet, so we need
to convert this equation into slope-intercept form [tex]\bold{y=mx+c}[/tex].
[tex]\dagger[/tex] First, subtract 5x and 4 on both sides:-
-3y=-5x-4[tex]\dagger[/tex] Next, divide by -3 on both sides:-
y=5/3x+4/3[tex]\bigstar[/tex] A negative divided by a negative is a positive.
[tex]\dagger\dagger[/tex] Now finding the slope is a piece of cake; it's just the number next to x:-
5/3 = slope (m)And the y-intercept is:-
4/3 = y-intercept (c)Good luck with your studies.[tex]\rule{300}{1}[/tex]
Kenzie is looking for a __ job. She would most likely be paid __
Answer:
Kenzie looking for a job that has benefits. She'd like to work in one place and not have to search for a new job anytime soon. Kenzie is looking for a Full-time job. She would most likely be paid an hourly wage, by the project.
Step-by-step explanation:
Find the surface area of the cone in terms of pie
23 cm
14 cm
Answer:
550 sq. cm
Step-by-step explanation:
Attached above (answer):-
Which equation best represents the data? y = –1.026x2 1016.402x – 162075 y = –1.036x2 1024.771x – 163710 y = 298.214x – 66317.667 y = 196.2x – 18710
Based on the items produced, and the profit yielded from those items, the best model to represent the data is y = -1.026x² + 1,016.402x - 162,075.
Which model shows the profit and items produced best?You can find this out by testing the models using the items produced (independent or "x" value) to see if the model produces a close enough y value.
Assuming x is 100:
= -1.026x² + 1,016.402x - 162,075
= (-1.026 x 100²) + (1,016.402 x 100) - 162,075
= -$70,694.80
Assuming x is 400:
= -1.026x² + 1,016.402x - 162,075.
= (-1.026 x 400²) + (1,016.402 x 400) - 162,075.
= $80,325.80
These figures are very close to the actual y values given which makes this the best model.
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Answer: A. y = –1.026x2 + 1016.402x – 162075
Step-by-step explanation:
solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.
Answer:
6.8 miles
Step-by-step explanation:
a^2+b^2=c^2
The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y = 6.855x + 10.215.
A graph shows hours of rental labeled 2 to 6 on the horizontal axis and cost in dollars on the vertical axis. A line increases from 0 to 6.
Which table shows the correct residual values for the data set?
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, 1.22, 1.315, negative 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, negative 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.
The table shows the correct residual values for the data set regarding the scatterplot is D. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.
What is a scatterplot?It should be noted that a scatterplot simply means a type of data display which shows the relationship between the variables.
In this case, the table shows the correct residual values for the data set regarding the scatterplot is a 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.
The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.
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