Answers
The box and whisker plot for the data-set is given at the end of the question.
What is a box plot?It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.
The smallest value.The first quartile.The median.The third quartile.The highest value.For this problem, we have that:
The smallest value is of 50, hence the left dot has to be at 50 in your graph.The highest value is of 77, hence the right dot has to be at 50 in your graph.The data-set has an even cardinality, of 17, hence the median is the 9th element, which is of 65, which means that the middle vertical line should be at 65.The first quartile is the median of the first eight elements, hence the mean of the 4th and 5th elements, which are 55 and 57, hence the first quartile is of 56, which means that the left vertical line should be at 56.The third quartile is the median of the first eight elements, hence the mean of the 4th and 5th elements of the second half, which are both 71, hence the third quartile is of 71, which means that the right vertical line should be at 71.The graph at the end gives a vertical version of the box plot.
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Related Questions
If two fair dice are rolled, what is the probability that the total showing is either even or less than five?
Answers
The Probability that the total showing is either even or less than five = 5/6
What is Probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.
According to the given data:The example space for rolling two dice is:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
36 events total.
Events that have a sum that is even or less than Five .
Total instances when the aggregate is even or less than Five equals 30.
P(sum is even or less than 5)
= (Total no of favorable event)/(Total no of event)
= 30/36
=5/6
probability that the total showing is either even or less than five = 5/6
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Mar18/Q9 - V2
2^p=1\8^4
Find the value of p.
Answers
Answer:
-12
Step-by-step explanation:
2^p = ⅛⁴
⅛ x ⅛ x ⅛ x ⅛ = 1/4096
2^p = 4096
log base 2 of 1/4096 = -12
Please help me asap due at 5:00
Answers
Answer:
11/18.
Dan is 8.
Step-by-step explanation:
The initial fraction is
x / 2x-4
Adding 3/3 we have
x+3 / 2x-1 = 2/3
Cross multiply:
3(x+3) = 2(2x-1)
3x + 9 = 4x - 2
9 + 2 = 4x - 3x
11 = x,
So the original fraction was 11 / 2(11) - 4
= 11/18.
If Dans age is d then Lois's age = 4d.
So 4d + d = 40
5d = 40
d = 8.
So Dan is 8 years old.
giving brainliest to right answer tyy
Answers
Answer:
B
Step-by-step explanation:
Original form:
y=mx+b
m=slope
b=y interecept
By replacing those variables with the given we come up with the equation of:
y=3/2x-7
Answer:B
Step-by-step explanation:
AB passes through A(-3,0) and B(-6,5). what is the equation of the line that passes through the origin and is parallel to AB?
Answers
Answer:
y = -5/3x or 5x +3y = 0
Step-by-step explanation:
To write the equation of a line through the origin, we need only find its slope. It is parallel to the line through the given points, so will have the same slope.
SlopeThe slope of a line through points (x1, y1) and (x2, y2) is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For the given points, the slope is ...
m = (5 -0)/(-6 -(-3)) = 5/(-3) = -5/3
EquationThe line trough the origin has a y-intercept of zero, so its equation will be ...
y = mx
For the slope we found, the desired equation is ...
y = -5/3x
Standard formIf we multiply by 3 and add 5x, we have ...
3y = -5x
5x +3y = 0 . . . . . . standard form equation of the line
The perimeter of a square must be greater than 164 164 inches but less than 188 188 inches. find the range of possible side lengths that satisfy these conditions. (hint: the perimeter of a square is given by p=4s p = 4 s , where s represents the length of a side). express your answer in interval notation. use decimal form for numerical values.
Answers
The range of possible side lengths in interval notation 41 < s < 47
What does it mean to interval notation?
Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. Intervals, when written, look somewhat like ordered pairs. However, they are not meant to denote a specific point. Rather, they are meant to be a shorthand way to write an inequality or system of inequalities.Since the perimeter is four times the side, the constraints on the perimeter are immediately translated into constraints on the side-
[tex]164 < p < 188 = 164 < 4s < 188[/tex]
So, if you divide every term in the inequality by 4, you have
[tex]\frac{164}{4} < s < \frac{188}{4}[/tex]
Now simply evaluate the fractions
41 < s < 47
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Two cars raced at a race track. the faster car traveled 20 mph faster than the slower car. in the time that the slower car traveled 165 miles, the faster car traveled 225 miles. if the speeds of the cars remained constant, how fast did the slower car travel during the race? distance (mi) rate (mph) time (h) slower car 165 r startfraction 165 over r endfraction faster car 225 r 20 startfraction 225 over r 20 endfraction 55 mph 60 mph 75 mph 130 mph
Answers
If the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.
Given that the faster car is travelling 20 mph faster than slower car and when slower car travels 165 miles the faster car travels 225 miles.
We are required to find the speed of slower car and faster car.
let the speed of slower car be x mph.
In this way the speed of faster car be (x+20) mph.
Speed=Distance/ time
We have to first take slower car.
x=165/Time
Time=165/x-----------1
Now by taking faster car.
x+20=225/time
Time=225/(x+20)-------2
From equation 1 an equation 2.
165/x=225/(x+20)
225x=165x+3300
225x-165x=3300
60x=3300
x=55 mph
Faster car=55+20
=75 mph.
Hence if the faster car is travelling 20 mph faster then slower car then the speed of slower car is 55mph and faster car is 75 mph.
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Quadilateral ABCD is similar to quadilateral EFGD. Which angle of quadilateral ABCD corresponds to F
Answers
Answer:
< B.
Step-by-step explanation:
B corresponds to F.
Which option is the fraction 28/31 closest to? 0, 1/2 or 1?
Answers
Answer:
1 is the closest to 28/31
Step-by-step explanation:
0 is technically 28 spaces away and 1/2 is around 13 spaces away but 1 is only 3. :)
Write a scenario that could work for the following line of best fit: y = x + 1. Explain the slope and intercept
n this context.
UPLOAD
Answers
The linear equation can represent the ages of two sisters that are born one-year apart.
What situation can model the given linear equation?Here we have the linear equation:
y = x + 1
So the value of y is always one more than the value of x, so for example, suppose that two sisters are born one-year appart, then we can use the above linear equation to represent the age of the older sister as a function of the age of of the younger one.
In that case, the slope of 1 means that both of the sisters age at the same ritm.
The y-intercept of 1 means that the older sister is 1 years old when the younger sister was born.
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Help, please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
student 2 is correct
Step-by-step explanation:
there are 10 [tex]\frac{1}{10}[/tex] ' s in 1 , so
37 × 10 = 370 ← number of tenths in 37
0.6 = [tex]\frac{6}{10}[/tex] , that is 6 tenths
then
37.6 = 370 + 6 = 376 ← number of tenths
Select the correct answer. jackson is conducting an experiment for his physics class. he attaches a weight to the bottom of a metal spring. he then pulls the weight down so that it is a distance of 6 inches from its equilibrium position. jackson then releases the weight and finds that it takes 4 seconds for the spring to complete one oscillation. which function best models the position of the weight?
Answers
The function that best models the position of the weight is s(t) = 6cos (pi/2*t).
How to illustrate the function?From the information, we know that the spring is going to have a sin or a cos equation.
We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. We have that the function is of the form 6sin(at+B).
We have that the period is 4 minutes and therefore that the time component in the equation needs to make a period (2pi) in 4 minutes.
In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6.
Substituting, we have s(t) = 6cos (pi/2*t).
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Find the surface area of the figure.
8 in.
8 in.
12 in.
12 in.
8 in.
10 in.
SA = [? ]in.²
10 in. SA
Enter P
I
Answers
The surface area of the rectangular prism shown in the figure is 512 in²
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Surface area = 2(8 * 8) + 2(12 * 8) + 2(8 * 12) = 512 in²
The surface area of the rectangular prism shown in the figure is 512 in²
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Find the equation of a line that passes through the points (-2,-3) and (4,1)
Answers
The equation of the line from give points is y = 2/3x - 5/3.
According to the statement
We have given that the two points which are (-2,-3) and (4,1)
And we have to find the equation of a line that passes through the given points.
So,For this purpose,
First, we need to determine the slope of the line. The slope can be found by using the formula:
[tex]m = \frac{(y_2) -(y_1)}{(x_2) -(x_1)}[/tex]
Where
m is the slope and
Substituting the values from the points in the problem gives:
m = 1 + 3 /4 + 2
m = 4/6
m = 2/3.
And then
Now, we can use the point-slope formula to find an equation for the line. The point-slope formula states:
[tex]y - (y_1) = m(x -x_1)[/tex]
Put the values in it then
y - (-3) = 2/3 (x-(-2))
y +3 = 2/3 (x +2)
3y + 9 = 2x + 4
3y - 2x = 4 -9
3y -2x = -5
3y = 2x - 5
y = 2/3x - 5/3.
So, The equation of the line from give points is y = 2/3x - 5/3.
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The table of ordered pairs (x,y) gives an exponential function.
Write an equation for the function.
Answers
The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
At point (0, 8):
8 = ab⁰
a = 8
At point (1, 32):
32 = 8b
b = 4
The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ
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The school puts up fencing around an area in the shape of a hexagon for an outdoor concert. how much fencing does the school use? round your answer to the nearest whole yard.
Answers
The total length of school installs fencing around a hexagon-shaped area for an outside concert, is 36 yards.
What is the distance formula?Distance is a numerical measurement of the distance between two objects or places. Distance can refer to a physical length or an estimate based on other criteria in physics or common usage. The distance between two points A and B is commonly expressed as |AB|.To find the fencing used by the school:
The distance formula can be given as: [tex]d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]
First, we must calculate the length of the hexagon using the distance formula.
The hexagon's coordinates, according to the graph, are:
(-5, 4), (0, 6), (5, 4), (6, -2), (0, -4), and (-6, -2)
The distance between (-5, 4), (0, 6): [tex]d=\sqrt{(5)^{2} +(6-4)^{2} }[/tex]
d = √29 yardsSimilarly, the distance between (-5, 4) and (6, -2):
= √37 yardsAnd the distance between (6, -2) and (0, -4):
= √40 yardsAmount of fencing required = 2(√29+√37+√40):
= 35.58 units ≈ 36 yardsTherefore, the total length of school installs fencing around a hexagon-shaped area for an outside concert, is 36 yards.
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The complete question is given below:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The school puts up fencing around an area in the shape of a hexagon for an outdoor concert. How much fencing does the school use? Round your answer to the nearest whole yard.
Answer:
36 yards of fencing
Step-by-step explanation:
the reason I know this is because I got it right.
Everyone in Sandy's class has to do a science project. Out of 50 students, 56% have completed their projects.
How many students still need to do their projects?
Pls help ASAP
Answers
Answer:
22
Step-by-step explanation:
100 - 56 is 44. 44% have still not done the project
.44 x 50 = 22
Answer:
22 coz 56% of 50 which is the total is 28. Then the remaining 44%is22
Step-by-step explanation:
What is the end behavior of the function f of x equals negative 4 times the cube root of x? as x → –[infinity], f(x) → –[infinity], and as x → [infinity], f(x) → [infinity]. as x → –[infinity], f(x) → [infinity], and as x → [infinity], f(x) → –[infinity]. as x → –[infinity], f(x) → 0, and as x → [infinity], f(x) → 0. as x → 0, f(x) → –[infinity], and as x → [infinity], f(x) → 0.
Answers
The end behavior of the function is as:
as →∞, f(x)→+∞ and as x→-∞, f(x)→+∞
What is end behavior?The x-axis "endpoints" of a function's graph are referred to as its "end behavior" in this context.
How do determine the end behavior of a function?choosing the polynomial function's greatest degree. The highest degree term will dominate the graph since it will expand more quickly than the other terms as x gets very big or very small.
Function f(x)=2∛x has the following graph:
The behavior of the function at its conclusion is because it leads to infinity.
as x→∞, f(x)→+∞ and as x→-∞, f(x)→+∞
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in a convex hexa
gon the sum of interior is how many times the sum of exterior angles
Answers
Answer:
Twice
Step-by-step explanation:
In a convex hexagon the sum of all interior angle is equal to twice of exterior angles.
PLEASE MARK ME AS BRAINLIST
Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be PLEASE NEED HELP
moved by dragging with a mouse.
The ratio of the volume of a pyramid to the volume of a prism with the same base and height is Response area. Because the formula for the volume of a prism is V=Bh, where B is the area of the base and h is the height, the formula for the volume of a pyramid is Response area.
Answers
The ratio of the volume of a pyramid to the volume of a prism with the same base and height is 1 to 3; the formula for the volume of a pyramid is V = 1/3Bh.
Volume of pyramidVolume of prism, V = BhVolume of pyramid, V = 1/3Bhwhere,
B = the area of the base and h = the heightVolume of prism : Volume of pyramid
Bh : 1/3Bh
Therefore, the ratio of the volume of a pyramid to the volume of a prism with the same base and height is 1 to 3.
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What is the range of this function? (negative infinity, infinity) left-bracket negative 1, infinity) (negative 1, infinity) (0, infinity)
Answers
The range of the function [tex]f(x) = -2(6)^{x} +3[/tex] discovered using exponential function is ( -∞, 3).
What is the range?The difference between the greatest and smallest numbers is called the range.What is an exponential function?
The following equations represent an exponential function: [tex]y=ab^{x} +c[/tex]In which:
a is the initial value.b is the rate of change.c is the vertical shift.As for the range, we have:
If a > 0, the range is (c,∞).If a < 0, the range is (-∞,c).In this problem, the function is given by: [tex]f(x) = -2(6)^{x} +3[/tex]
The coefficients are a = -2 0, b = 6, and c = 3, and the range is (-∞,3).
Therefore, the coefficients are a = -2 0, b = 6, and c = 3, and the range is (-∞,3).
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The complete question is given below:
What is the range of the function f(x) = –2(6x) + 3? (negative infinity, negative 2 Right-bracket (negative infinity, 3) Left-bracket negative 2, infinity) Left-bracket 3, infinity)
Answer:B
Step-by-step explanation:edge lolololololololloll
QPS=
Help me please! Thankss
Answers
Answer:
44°
Step-by-step explanation:
[tex]\frac{134-46}{2}=44[/tex]
.
What is the X
3x +15 and 2x + 20
Answers
Answer:
x = 5Step-by-step explanation:
What is the X
3x +15 and 2x + 20
assuming that the question is an equation
3x + 15 = 2x + 20
3x - 2x = 20 - 15
x = 5
-----------------
check
3 * 5 + 15 = 2 * 5 + 20
30 = 30
the answer is good
Find the standard matrix for the linear transformation t.t(x, y) = (3x 6y, 3x − 6y)
Answers
The standard matrix for the linear transformation t is
| 3 6 |
| 3 -6 |
How to determine the standard matrix for the linear transformation t?The linear transformation of matrix T is given as:
t(x, y) = (3x + 6y, 3x − 6y)
When the above linear transformation is represented as a matrix, we have the following expression
T([x]) = | 3x + 6y |
[y] | 3x - 6y |
The above linear transformation of matrix can be rewritten as the following product of matrixes
T([x]) = | 3x + 6y | = | 3 6 | | x |
[y] | 3x - 6y | | 3 -6 | | y |
From the above equation, the standard matrix for the linear transformation t is
| 3 6 |
| 3 -6 |
Hence, the standard matrix for the linear transformation t is
| 3 6 |
| 3 -6 |
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A plan for a baseball diamond is drawn in a coordinate plane. The baseball diamond is in the shape of a square with vertices at approximately (0, 64), (64, 0), (0, -64), and (-64, 0). One unit in the coordinate plane represents 1 ft. What is the approximate area of the baseball diamond?
Answers
The area of the baseball diamond is 8192 sq. units.
We assume the square-shaped, baseball diamond to be ABCD with A = (0, 64), B = (64, 0), C = (0, -64), and D = (-64, 0).
The side of the square can be computed using the distance formula,
D = √((x₂ - x₁)² + (y₂ - y₁)²), when the endpoints of a line are (x₁, y₁) and (x₂, y₂).
Thus, the side of the square,
a = √((x₂ - x₁)² + (y₂ - y₁)²),
or, a = √((64 - 0)² + (0 - 64)²) {Considering A(0,64) and B(64, 0) as the endpoints,
or, a = √(64² + (-64)²),
or, a = √(4096 + 4096),
or, a = 64√2 units.
Now, the area of the square can be calculated using the formula, A = a², where A is the area and a is the side of the square.
Thus, the area of the square = (64√2)² = 4096*2 = 8192 sq. units.
Thus, the area of the baseball diamond is 8192 sq. units.
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-5 ____ =2
please help me lol.
Answers
[tex] - 5 + x = 2 \\ add \: 5 \: to \: both \: sides \\ x = 2 + 5 = 7[/tex]
7 is your answer[tex] - 5 x =2 \\ x = -2/5[/tex]
Assuming you're multiplying:
Answer:
Step-by-step explanation:
Comment
The simple answer is you should put something equivalent to -2/5 in the blank. This is what will happen,
-5 * - 2/5
The 5's will cancel out. The minus sign that was in front of the 5 will become positive because 2 minuses make a plus.
Another way to do the problem is to call the ___ = x
-5 x = 2 Divide both sides by - 5
-5x/ -5 = 2/-5
x = - 2/5
It comes to the same thing.
A third way is just to multiply by - 0.4
-5 * -0.4 = 2
Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to tariqareesha2, tysm for the help!
Please help answer my questions like these I have many more quick algebra 1 questions that are all due in 2 days so it would be much appreciated if you check them out. Once again, tysm!
Answers
The line is parallel to y axis
We know that if a line is parallel to y axis
slope=tan90=undefinedSo there is no slope
Here it has constant x value as -2
So the equation is
x=-2Option A
Answer:
x = -2
Step-by-step explanation:
The line is crossing the x-axis at -2, The graph is attached
Since it is identical to the graph given in the problem, x=-2 is the correct answer
PLS HELP IM SUPER STUCK AAA
Answers
Answer:
(15,0) , (0,6)
Step-by-step explanation:
Same concept as the previous 2 questions.
x-intercept is where the line touches the x-axis, and y = 0.
when y = 0,
12x + 30(0) = 180
12x = 180
x = [tex]\frac{180}{12}[/tex]
x = 15
Therefore the coordinates of the x-intercept is (15,0)
y-intercept is where the line touches the y-axis, and x = 0.
when x = 0,
12(0) + 30y = 180
30y = 180
y = [tex]\frac{180}{30}[/tex]
y = 6
Therefore the coordinates of the y-intercept is (0,6)
PLS HELP ASAP
Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base 25\text{ m}25 m25, start text, space, m, end text and height 30\text{ m}30 m30, start text, space, m, end text.
Answers
Answer:
see attached
Step-by-step explanation:
Each grid square represents 5 m, so the distances shown on the grid will be scaled appropriately.
Scale drawingThe 25 m base dimension will be represented by (25 m)/(5 m/square) = 5 squares.
The 30 m height dimension will be represented by (30 m)/(5 m/square) = 6 squares.
The attached drawing shows the triangle with base 25 m and height 30 m on a 5 m grid.
Help on this math problem!! if there is any work that can be shown it would be great thanks!!!