Therefore , the solution of the given problem of scatter plot comes out
to be 2 regions contain 2 x 40 (or 80) students.
Definition of a scatter plotSeveral dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).
Here,
A box plot separates a data set into four areas, each identified by five lines. The lowest line displays the result, while the highest line displays the result. 25% of the data points are distributed across each region, and the median score is indicated by the middle line.
In this box plot, for instance, there are lines at 10, 30, 48, 70, and 100. The fact that no student received a score exactly equal to 30, 48, or 70 allows us to deduce the following:
Because the middle two sections represent the interquartile range (IQR), which comprises the middle 50% of the data, they are frequently "boxed" together.
We are informed that 120 students received test scores below 70. Additionally, since there are three regions with scores below 70 and each region has a 25% weighting, 3 x 25% (or 75% of the students) had scores below 70.
In other words, 75% of 120 students.
If there are 120 students total throughout the three regions, then each
region has 40 pupils, or one-third of the total.
The box plot indicates that there are two areas, and since each region has 40 students, there are 80 students total in the two regions.
As a result, two zones with two sets of 40 students each make up the solution to the scatter plot problem.
Therefore , the solution of the given problem of scatter plot comes out
to be 2 regions contain 2 x 40 (or 80) students.
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find area of blue shaded region
Answer:
[tex] \approx \: 7.33 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of the blue shaded region
[tex] = \frac{ \theta}{360 \degree} \times \pi r_1^2 - \frac{ \theta}{360 \degree} \times \pi r_2^2 \\ \\ = \frac{ \pi\theta}{360 \degree} ( r_1^2 - r_2^2) \\ \\ ( r_1 = 4 \: cm, \: \: r_2 = 3\: cm, \: \: \theta = 120 \degree) \\ \\ = \frac{ 3.14 \times 120 \degree}{360 \degree} ( 4^2 - 3^2) \\ \\ = \frac{ 3.14 }{3} \times 7 \\ \\ = \frac{21.98}{3} \\ \\ = 7.32666667 \\ \\ \approx \: 7.33 \: {cm}^{2} [/tex]
Which graph doesn't belong?
A
B
C
D
Answer:
i think it's C
Step-by-step explanation:
22 cm 14 cm 14 cm what is the volume
Answer:
height 14 cm
Step-by-step explanation:
The volume of the cuboid whose dimensions are l = 22 cm, b = 14 cm, h = 14 cm is 4312 cu. cm.
What is the Volume of Cuboid?
Volume of cuboid is the total space occupied by the cuboid in a three-dimensional space. A cuboid is a three-dimensional structure having six rectangular faces. These six faces of the cuboid exist as a pair of three parallel faces.
Here, length of cuboid = 22 cm
Breadth of cuboid = 14 cm
Height of cuboid = 14 cm
Volume of Cuboid = Length X Breadth X Height
= 22 X 14 X 14 cu. cm.
= 4312 cu. cm.
Thus, the volume of the cuboid whose dimensions are l = 22 cm, b = 14 cm, h = 14 cm is 4312 cu. cm.
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Together, Hermione and Luna bought 2016 Chocolate Frogs for Harry. If Hermione paid 98 coins and Luna paid 28 coins, for how many Chocolate Frogs did Hermione pay?
If Hermione paid 98 coins and Luna paid 28 coins, Hermione paid for 672 Chocolate Frogs.
We can start the problem by using algebra. Let x be the number of Chocolate Frogs that Hermione paid for. Then we know that:
x + (2016 - x) = 2016 (the total number of Chocolate Frogs)
Also, we know that the cost of the Chocolate Frogs Hermione paid is 98 coins, and the cost of the Chocolate Frogs Luna paid is 28 coins. Let's assume the cost of each Chocolate Frog is y. Then we can write:
x * y = 98 and (2016 - x) * y = 28
Now we have a system of two equations with two variables (x and y). To find the value of x, we can use any method to solve the system of equations, such as substitution or elimination.
Using substitution, we can solve for y in the second equation and substitute it into the first equation:
(2016 - x) * y = 28
y = 28 / (2016 - x)
x * (28 / (2016 - x)) = 98
x * (28 / (2016 - x)) = 98
x = 98 * (2016 - x) / 28
Solving for x, we get:
x = 2016/3
So Hermione paid for 2016/3 = 672 Chocolate Frogs.
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Answer:
Hermione paid for 1,568 frogs.
Step-by-step explanation:
First, do 98 + 28. That will give you 126. Then do 2,016 / 126. That gives you 16. 16 x 98 = 1568 frogs.
Let's do Luna's to check our work.
28 x 16 = 448 frogs. 448 + 1568 = 2,016. So, Hermione paid for 1,568 frogs.
Which statements are necessary to prove the two triangles are congruent by SSS? (ASAP HELP PLS!!!)
Answer:
C) [tex]\overline {AD}[/tex] ≅ [tex]\overline {AC}[/tex], [tex]\overline {BD}[/tex] ≅ [tex]\overline {CD}[/tex], [tex]\overline {AD}[/tex] ≅ [tex]\overline {AD}[/tex]
Step-by-step explanation:
From the given diagram, we have;
Segment [tex]\overline {AB}[/tex] in triangle ΔABD is congruent to segment [tex]\overline {AC}[/tex] in triangle ΔACD
Segment [tex]\overline {AD}[/tex] is congruent to segment [tex]\overline {AD}[/tex] by reflexive property
For ΔABD to be congruent to ΔACD, by the Side-Side-Side, SSS, congruency postulate, all the sides of ΔABD should be congruent to the corresponding side of ΔACD, the required added statement is therefore;
Segment [tex]\overline {BD}[/tex] is congruent to segment [tex]\overline {CD}[/tex]
The correct option is therefore option C;
[tex]\overline {AD}[/tex] ≅ [tex]\overline {AD}[/tex], [tex]\overline {BD}[/tex] ≅ [tex]\overline {CD}[/tex], [tex]\overline {AD}[/tex] ≅ [tex]\overline {AC}[/tex]
Answer:
c
Step-by-step explanation:
Hiiiooo can someone please help me out!❤️:)
Answer:
144 cm
Step-by-step explanation:
Bottom: 4x11 = 44
Side 3x4x1/2 = 6
Other side = 6 (same)
Slant = 3, 4 and the hypotenuse is 5 (pythagroem triple )
5x11 = 55
Back: 3x11= 33
44+6+6+55+33= 144
PLEASE HELP EMERGENCY
- A $2,500 bond eams 3% interest per year, compounded annually.
a) Write a function, V, that models the value of the bond t years after it is purchased.
b) find the value of the bond after each of the first five years.
PLEASE HELP EMERGENCY
Answer:
chick fil a
Step-by-step explanation:
because chick fil a is always right
Use the equation x2 - 10x = 11 to fill in the table below.
a) What number is added to both sides so the left side is a perfect square trinomial?
b) After adding the answer from part a) and factoring the left side, what is being squared on the left side?
Answer:
a) 25
b) the square root of 36 should be done
Step-by-step explanation:
x² - 10x = 11
take half of 10 and square it
x² - 10x + 25 = 11 + 25
(x-5)² = 36
x-5 = [tex]\sqrt{36}[/tex]
x - 5 = 6 and x - 5 = -6
x = 11 and x = -1
20 POINTS!!! HELP ASAP!! What are the domain and range of the function graphed below?
If the acceleration is 6m/s/s and the mass is 3kg, calculate the force? Include the UNIT
Answer:
[tex]f = m \times a = 3 \times 6 = 18 \: n[/tex]
Which expression is equivalent?
Answer:
The first one 3^7 *1/3-4
Step-by-step explanation:
For questions 3 – 4, use the table to answer the questions.
This table shows the high schools in a metro district and whether they offer hockey and golf.
High school Hockey Golf
East Valley ✔
Central
Lincoln ✔ ✔
Davis
West Pine ✔ ✔
Adams ✔
North River ✔ ✔
A high school is chosen at random from this list.
Let event A = The high school has a hockey team.
Let event B = The high school has a golf team.
3. Which high schools offer both hockey and golf?
What is P(A ∩ B)?
4. Which high schools offer hockey or golf or both?
What is P(A ∪ B)?
We have P(A ∩ B) is 2/5 and P(A ∪ B) is 5/5.
Lincoln and West Pine high schools offer both hockey and golf.
P(A ∩ B) is the probability that a randomly chosen high school has both a hockey team and a golf team. The probability that a school picked at random offers both hockey and golf is 2/5 (Lincoln and West Pine are the only schools that offer both out of 5 total schools.)
East Valley, Lincoln, West Pine, Adams and North River high schools offer hockey or golf or both.
P(A ∪ B) is the probability that a randomly chosen high school has either a hockey team or a golf team or both. The probability that a school picked at random offers either hockey or golf or both is 5/5 (All 5 high schools in the district offer at least one of the sports.)
Therefore, the correct answers of the problem statement are P(A ∩ B) is 2/5 and P(A ∪ B) is 5/5.
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(iii) (6-5xy) (6 + 5xy)
Hello there!
Answer:
[tex]36 - 25x^{2}y^{2}[/tex]
Step-by-step explanation:
We can use the special formula:
[tex](a - b)(a + b) = a^{2} - b^{2}[/tex]
If a = 6 and b = 5xy then:
[tex](6 - 5xy)(6 + 5xy) = 6^{2} - (5xy)^{2} = 36 - 25x^{2}y^{2}[/tex]
This is the final answer
But if we don't know this formula, we can solve it other way:
[tex](6 - 5xy)(6 + 5xy) = 6^{2} + 5xy * 6 - 5xy * 6 - (5xy)^{2} = \\\\= 6^{2} - (5xy)^{2} = 36 - 25x^{2}y^{2}[/tex]
Charlie runs laps around a track. The table shows how long it takes him to run different numbers of laps. How long would it take Charlie to run 5 laps?
Number of laps 2 4 6 8 10
Time (min) 18 36 54 72 90
It will take Charlie ___
minutes to run 5 laps.
270 mins - 10 laps
xmins -5 laps
(cross multiply)
270*5=10x
10x=1350
x= 1350/10
x=135 mins
is -(-3) = 3 . i know its simple but I need it
Answer:
Yes
Step-by-step explanation:
[tex] - ( - 3)[/tex]
[tex] - 1 \div - 3[/tex]
[tex]3[/tex]
Hope it is helpful....The equation of line R, shown below, can be
written in the form y = mx + c.
What are the values of m and c?
Give each of your answers as an integer or
as a fraction in its simplest form.
Straight line has the equation is, y = 5x - 4.
What is a straight line's mathematical equation?An endless number of points that are connected on both sides of the point make up a straight line.
The slope of a straight line, "m," is determined by:
m = y2 - y1 / x2 - x1
A linear equation has the expression y = mx + b in slope-intercept form. X and Y are the variables in the equation. The numbers m and b stand for the line's slope (m) and the value of y at x = 0.
The graph's acquired points are (0,-4) and (1,1)
The slope is ,
m = 1-(-4) / 1-0
= 5/1
= 5
The line's equation will be as follows since it crosses the y-axis at its intersection point, where C = -4.
⇒ y = mx + c
⇒ y = 5x + (-4)
⇒ y = 5x - 4
As a result, y = 5x - 4 is the equation for the straight line depicted below.
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could someone help me out with this?
Step-by-step explanation:
ok so first use this formula. V= 4/3 * 3.14 * 9 to the power of 3. so multiply 4/3 and 3.14 and then multiply 9 and 9 and 9 and then multiply that all together
What is the vector equivalent to the directed line segment from the point?
The vector equivalent to the directed line segment from the point (x1, y1) to the point (x2, y2) is the vector <x2-x1, y2-y1>.
The vector of a directed line segment is the difference between the two endpoints of the line segment. In this case, the endpoints are the points (x1, y1) and (x2, y2). Therefore, the vector of the directed line segment is equal to the vector <x2-x1, y2-y1>.
The vector equivalent of a directed line segment from the point (x1, y1) to the point (x2, y2) is the vector with initial point (x1, y1) and terminal point (x2, y2). This vector is equal to the vector form <x2-x1, y2-y1>, which describes the displacement from the initial point to the terminal point. This vector can also be written in component form, meaning the magnitude of the vector in the x-direction is x2-x1, and the magnitude of the vector in the y-direction is y2-y1.
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What composition of rigid motions maps ΔPQR to ΔXZY?
Answer:
it is C.
Step-by-step explanation:
it is C.
The transformation is 6 units left and 2 units down and reflection about x = -2 thus option (C) is correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As the given XYZ.
Take coordinate of Y(4,3)
Now, take it back 6 units and 2 units down as,
R(4 - 6,3 - 2) = R(-2,1)
Now, reflect the entire image about x = -2 gives the same image as OQR.
Hence "The transformation is 6 units left and 2 units down and reflection about x = -2"
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What is an example of an x-intercept?
An example of x-intercept is (3,0).
Here x=3 is the x-intercept in this line.
By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.
We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.
The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.
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Find the value of x pls help
The red Maserati traveled at a speed of 120km/h for 5 hours one day. The green Ford Pickup traveled at a speed of 74km/h for 6 hours the same day. Find the difference in the distance traveled by two vehicles.
Answer:
156km
Step-by-step explanation:
Given data
The red Maserati traveled at a speed of 120km/h for 5 hours one day.
Distance = speed*time
Distance= 120*5
Distance= 600km
The green Ford Pickup traveled at a speed of 74km/h for 6 hours
Distance = speed*time
Distance= 74*6
Distance= 444km
Hence the difference is
=600-444
=156km
Leslie made a design with purple tiles, gold tiles, and silver tiles. She used: 79 silver tiles, 44 more silver tiles than purple tiles, and 23 more gold tiles than purple. Use the letter g to find the number of gold tiles that Leslie used.
Answer:
58 gold tiles
Step-by-step explanation:
Let silver = s ; purple = p ; gold = g
Number of silver Tiles = 79
44 more silver tiles than purple tiles
Purple tiles = silver tiles - 44
Purple tiles = 79 - 44 = 35
23 more gold tiles than purple tiles:
Number of gold tiles = purples Tiles + 23
Number of gold tiles = 35 + 23 = 58 tiles
Find the greatest number that divides 1626, 1950 and 2274 leaving a remainder of 6 in each case? Please help
Answer:
The common divisor that leaves a reminder of 6 is 324
Step-by-step explanation:
Given
1626, 1950 and 2274
Required
Common divisor that leaves a remainder of 6
First, we subtract 6 from each number
[tex]1626 - 6 = 1620[/tex]
[tex]1950 - 6 =1944[/tex]
[tex]2274 - 6 = 2268[/tex]
Next, we find the common divisor of 1620, 1944, 2268
[tex]1620 \to 2 * 2 *3 * 3*3*3*5[/tex]
[tex]1944 \to 2 * 2 * 2 * 3 * 3 * 3 * 3 * 3[/tex]
[tex]2268 \to 2 * 2 * 3 * 3 * 3 * 3 * 7[/tex]
The common factors are:
[tex]Common = 2 * 2 * 3 * 3 * 3 * 3[/tex]
[tex]Common = 324[/tex]
Solve the following system of equations graphically on the set of axes below.
y= x-2
y=x−2
y= -3x-6
y=−3x−6
The solution of the equation is x = -1 and y = -3.
And the intersection point is (-1, -3).
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation.
And simultaneous equation is the system of equation.
Given system of equations:
y = x-2 ...... equation 1
y = −3x−6 ...... equation 2
To solve the system of equations:
Substitute the value of y from the equation 1 to equation 2,
we get,
x - 2 = -3x - 6
x + 3x = -6 + 2
4x = -4
x = -1
Then y = -1 -2 = -3.
By graphically:
1). Draw the linear equation on the graph.
2). And the intersection point of the lines is a solution of the equation.
3). The solution is x = -1 and y = -3.
The complete graph is given in the attached image.
Therefore, the solution is x = -1 and y = -3.
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whats the value of q
Answer:
Incomplete Question. Send Full question pls.
Helpppppppppppppppp
Which one
Answer:
1. y = -2x - 4
2. y = 3x + 2
3. Horizontal
PLEASE, I'll GIVE YOU A FIVE STAR RATING AND THANKS WITH COMMENT!!!!!
If you double the amount of fluid ounces, the amount of cups also double
There is proportional relationship between the number of fluid ounces and the number of cups. So, the number of cups would change by the same factor as the number of fluid ounces.
The cost of renting equipment is sometimes proportional; because, it depends on whether the equipment has a rental fee and charge per hour or just a charge per hour. Option A.The cost of mailing a letter is proportional to the weight. The cost of mailing a 6-ounce letter is $2.82. Option BThe donation is proportional to the dinner bill
The donation for a dinner bill of $50 is $9
How to determine proportional relationship?If there are 8 fluid ounces in one cup
8 : 1 = 16 : x
8/1 = 16/x
8 × x = 16 × 1
8x = 16
x = 16/8
x = 2
The difference between weight = 1
The difference between cost = $0.68 - $0.47
= $0.21
$0.89 - $0.68
= $0.21
$1.10 - $0.89
= $0.21
Cost of mailing 6-ounce letter
1 : 0.47 = 6 : x
1/0.47 = 6/x
1 × x = 6 × 0.47
x = $2.82
The donation for a dinner bill $50 is
Dinner bill : donation
25 : 4.50 = 50 : x
25/4.50 = 50/x
25 × x = 50 × 4.50
25x = 225
x = 225/25
x =$ 9
Therefore, there is a proportional relationship between two quantities if there is an equal change in the values of both quantities.
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The screen on Lawrence’s new phone is 3.15 centimeters long. What mixed number represents the length of the phone screen?
Answer:
3 and 3/20
Step-by-step explanation:
Why it is called irrational?
The number √2 is called an irrational number because the value of √2 = 1.41421356... and the the value is non terminating and non repeating .
What are Irrational Numbers ?
The Numbers whose vales are Non Repeating and Non Terminating are called as Irrational Numbers ,
also the numbers that cannot be expressed on the form of [tex]\frac{p}{q}[/tex] are called as Irrational Numbers .
the number is given as √2 ;
we know that the values of √2 is = 1.41421356... ,
we see that the the value is non terminating and the numbers after decimal point are non repeating ,
Therefore , the number √2 is an irrational number .
The given question is incomplete , the complete question is
Why the number √2 is called a Irrational Number ?
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