Answer:
The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Step-by-step explanation:
The data provided is as follows:
X Frequency
8 0
8.1 0
8.2 2
8.3 2
8.4 2
8.5 3
8.6 0
8.7 1
8.8 0
8.9 1
9 0
So, the actual data is:
S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }
A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,
Minimum (shown at the bottom of the chart) First Quartile (shown by the bottom line of the box) Median (or the second quartile) (shown as a line in the center of the box) Third Quartile (shown by the top line of the box) Maximum (shown at the top of the chart).The data set is arranged in ascending order.
The minimum value is, Min. = 8.2
The lower quartile is,
[tex][\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3[/tex],
Q₁ = 8.3.
The median value is,
[tex][\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4[/tex]
Median = 8.4
The upper quartile is,
[tex][\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5[/tex],
Q₃ = 8.5.
The maximum value is, Max. = 8.9.
So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Answer:
The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Step-by-step explanation:
I took the practice test
Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, h greater-than-or-equal-to 0 with d being the distance they can see in miles and h being their eye-level height in feet.
StartRoot 5 EndRoot mi
3 StartRoot 5 EndRoot mi
15 StartRoot 5 EndRoot mi
45 StartRoot 5 EndRoot mi
Answer:
The answer is 3√5 mi.
The formula is: d = √(3h/2)
Wyatt:
h = 120 ft
d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi
Shawn:
h = 270 ft
d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi
How much farther can Shawn see to the horizon?
Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi
Answer:
its b
Step-by-step explanation:
i just did it
Determine the value of x in the triangle shown. answers: 48° 42° 228° 132°
Answer:132
Step-by-step explanation:
Answer:
132°
Step-by-step explanation:
first find the interior angle of the triangle.
the interior angle of a triangle is 180°
90°+42°+y°=180°
132°+y°=180°
y°=180°-132°
y°=48°
(y° represents the empty part).
angle on a straight line is equal to 180°
y°+x°=180°
48°+x°=180°
x°=180°-48°
x°=132°
Slide the green dot from 0 to plot the number at the correct
location
Pablo owes his sister $9. His sister Nina owes their
mother three times that amount. What number on the
number line represents Nina's debt?
Plot 9
9
?
-30 -27 -24 21 -18 -15 -12 -9
Can somewon please help me?
Answer:
Bobs Data: range from 2 to 8
Rosa Data range from 4 to 7
Step-by-step explanation:
In the triangles, BC 2DE and AC FE.
If mZc is greater than mZE, then AB is
DF
MA
O congruent to
o longer than
shorter than
the same length as
A
CF
E
|25 POINTS| Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the length of the base is increased to 15 meters, what is the difference in the surface area between the new pyramid and the old pyramid?
125 meters squared.
525 meters squared.
600 meters squared.
400 meters squared.
Answer:
125 meters squared
Step-by-step explanation:
Surface area of initial pyramid:
A= 10²+4*1/2*10*15= 400 m²Surface area of extended pyramid:
A= 10*15+2*1/2*15*15+2*1/2*10*15= 525 m²The difference is:
525- 400= 125 m²
If there are 80 toys in a shop, 40% of them are for boys. 50% of the boy's toys and 50% of the girl's toys are made by the shop owner. How many more girl's toys than boy's are made by the owner?
Answer: 8 more girl toys than boy toys
Step-by-step explanation:
First you need to find out how many of the toys are for boys and girls.
———————————————
80 * 40 = 80 * 0.4 = 32
32 toys are for boys
———————————————
80 - 32 = 48
48 toys are for girls
———————————————
Now find 50% of the boy and girl toys.
32 * 50% = 32 * 0.5 = 16
48 * 50% = 48 * 0.5 = 24
———————————————
Now subtract the number of girl toys by the number of boy toys to find out how many more were made for girls than boys.
24 - 16 = 8
The set of numbers 1, 3, 7, 11, 15, and 36 contains all possible values for q. What value of q makes the following equation true: 4q+9=37 ?
Answer:
q = 7
Step-by-step explanation:
4q + 9 = 37
If a letter and a number are together it means multiply.
Substitute 7 into the equation:
4(7) + 9 = 37
28 + 9 = 37
So q must equal 7
Given P(E) = 0.58 and P(FE) =0.32 , find P(F/E). Round the answer to the nearest hundredth.
A 0.19
B. 0.44
C. 0.55
D. 1.81
I have to complete the proofs and explain each one please help WILL MARK BRAINLIEST
Answer:
Step-by
Q1
PROOF
consider triangle ACT and ARD
CA=CA [GIVEN]
angle 1 = angle 2 [GIVEN]
angle CAT = angle RAD [OPPOSITE ANGLES]
hence ,triangle ACT is congruent to triangle ARD [by SAS]
hence , angle 3 = angle 4 [ by cpct]
Q2
PROOF
consider triangle TSU and TVU
TU =TU [commn]
UV = US [given]
angle TUS = angle TUV [ given]
hence, triangle TSU congruent to TVU [ by SAS]
hence, VT = ST
Q3
PROOF
consider triangle ABC and ADC
AC = AC [ common]
angle ACB = angle ACD [given ]
angle ADC = angle ABC [ 90 degree ]
hence they are congruent [by AAS]
BC = DC [ CPCT]
PLEASE MARK ME AS BRAINLIEST .....IT TOOK THOUSANDS OF HOURS TO TYPE ALL THESE IN COMPUTER
The university theater uses a combination of one letter (A – Z) and two digits (0 – 9) to identify their reserved seats. How many reserved seats are possible using a combination of one letter followed by two digits?
1.) 2600
2.) 234
3.) 260
4.) 2106
Answer:
Correct option: 1) 2600
Step-by-step explanation:
The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).
So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.
We have one letter and two digits, so we have:
26 * 10 * 10 = 2600 possible reserved seats
Correct option: 1)
Answer:
1.) 2,600
Step-by-step explanation:
The total sales made by a salesperson was $25,000 after 3 months and $68,000
after 23 months. Predict the total sales after 41 months.
$ 106,742
$106,670
$106,800
$106,700
Answer: $106,700
Step-by-step explanation:
y = money amount
x = months
Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150
Now, we have to write the equation in the form y =mx+b, using one of the points:
25000= 2,150(3) +b
25,000= 6,450+b
25,000-6,450=b
18,550=b
So, the final equation is:
y = 2,150x+18,550
So, when x=41 months
y = 2,150(41)+18,550
y= $106,700
Feel free to ask for more if needed or if you did not understand something.
Betty spent 50 minutes on solving 25 questions. If she spent the same amount of time solving each question, how long would it take to do 30 questions
Please help lots of points
Answer:
directrix
Step-by-step explanation:
The parabola is equidistant from the line called the directrix
and from a point called the focus
Answer:
The answer is B.
Find the product Enter the answer below
Answer:
56/33
Step-by-step explanation:
8/11 * 7/3
Multiply the numerator
8*7 = 56
Multiply the denominator
11*3 = 33
Put the numerator over the denominator
56/33
Answer:
56/33
Step-by-step explanation:
[tex]\frac{8}{11} *\frac{7}{3}[/tex] Original equation
[tex]\frac{8*7}{11*3}[/tex]
[tex]\frac{56}{33}[/tex] Simplify
The life spasms of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years and 3 months and 3 years and 3 months? Use the portion of the standard normal table below to help answer the question.
Answer:
32%
Step-by-step explanation:
Got it right on the quiz.
Pls give me brainliest
Answer:
32%
Step-by-step explanation:
Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan. How old is Ishaan?
Answer:
15 years old.Ishaan is 15 years old.
Solution,
Let the age of Ben be X and ishaan be y.
Now,
X=4y
Six years ago,
[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]
Put the value of X
i.e X=4y
[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]
hope this helps..
Good luck on your assignment....
Start by setting up a chart based on age now
and age 6 years ago for Ben and Ishaan.
Since Ben is 4 times as old as Ishaan, use x to represent
Ishaan's age now and 4x to represent Ben's age now.
Ishaan's age 6 years ago would then be x - 6 and Ben's
age 6 years ago would be 4x - 6.
Now that your chart is filled out, read through the
second sentence of the problem to setup the equation.
Since the second sentence starts with 6 years ago,
we're going to be using the information in the
second column of our chart to setup the equation.
So 13 years ago, Ben, 4x - 6, was, equals,
6 times as old as Ishaan, 6(x - 6).
So we have the equation 4x - 6 = 6(x - 6).
Solving from here, we find that x = 15.
Steps are attache din the image provided.
Going back up to the chart, x represents Ishaan's age now.
So Ishaan is 15 years old now.
What are the coordinates of the image of L for a dilation with center (0,0) and scale factor 1/4?
Answer:
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
Step-by-step explanation:
Given
K(1,0)
L(1,4)
M(5,4)
N(5,0)
Scale Factor = 1/4
Dilation with center (0,0)
Required
New coordinates of the quadrilateral
To get the new coordinates, we simply multiply the scale factor with each coordinate;
This is done as follows;
[tex]If\ K =(1,0),\ then;[/tex]
[tex]K' = \frac{1}{4} * (1,0)[/tex]
[tex]K' = (\frac{1}{4} * 1,\frac{1}{4}*0)[/tex]
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]If\ L =(1,4),\ then[/tex]
[tex]L' = \frac{1}{4} * (1,4)[/tex]
[tex]L' = (\frac{1}{4} * 1,\frac{1}{4}*4)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]If\ M =(5,4),\ then[/tex]
[tex]M' = \frac{1}{4} * (5,4)[/tex]
[tex]M' = (\frac{1}{4} * 5,\frac{1}{4}*4)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]If\ N =(5,0),\ then[/tex]
[tex]N' = \frac{1}{4} * (5,0)[/tex]
[tex]N' = (\frac{1}{4} * 5,\frac{1}{4}*0)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
Hence, the coordinates of the dilated figure are:
[tex]K' = (\frac{1}{4} ,0)[/tex]
[tex]L' = (\frac{1}{4} ,1)[/tex]
[tex]M' = (\frac{5}{4} ,1)[/tex]
[tex]N' = (\frac{5}{4} ,0)[/tex]
PLEASEEE HELPPPPPPPjjsek
Answer:
1.777777778
Step-by-step explanation:
hope that helps!
Answer:
16/9 or 1 2/9
Step-by-step explanation:
the fraction bar means divison
a) Mr.Wilson bought a mountain bike for Rs 7,600 and sold it at 10% profit. If he had bought it for Rs 8,000, what would be his profit or loss percent?
Answer:
[tex]5\%[/tex] loss.
Step-by-step explanation:
[tex]7600 \times (1+10\%)[/tex]
[tex]7600 \times 1.1=8360[/tex]
[tex]8000 \times (1+10\%)[/tex]
[tex]8000 \times 1.1=8800[/tex]
His loss is Rs 440.
[tex]\frac{440 \times 100}{8800}[/tex]
[tex]=5[/tex]
Answer:
Profit %age = 4.5 %
Step-by-step explanation:
Mr. Wilson bought the bike for = Rs 7,600
Profit %age = 10% of 7,600
Profit = [tex]\frac{10}{100}* 7600[/tex]
Profit = Rs 760
Amount in which the bike is sold = 7600 + 760 = Rs 8360
If Mr. Wilson had bought the bike for Rs. 8000 and sold it in the same amount,
So he would still be
having a profit of Rs. 360
How much Profit %age:
Profit % age = [tex]Profit * 100/CP[/tex]
Profit %age = 360 * 100 / 8000
Profit % age = 36,000 / 8000
Profit %age = 4.5 %
What is the slope intercept equation of a line that has a slope of -2 and a y-intercept of (0, 3)
Answer:
y = -2 x +3
Step-by-step explanation:
If the slope must be "-2", then the slope intercept form of the line should look like;
y = m x + b
with the slope "m" = -2
That is:
y = -2 x + b
Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":
3 = -2 (0) + b
3 = b
Then the equation becomes:
y = -2 x +3
Given f(x) = 2x – 3 and g(x) = x2, find f(g(3)).
Answer:
First find f(g(x))
= 2(x²)-3
= 2x² -3
f(g(3)) = 2(3)² -3
= 2(9) - 3
= 18 - 3
= 15
Hope this helps.
Answer:
f(x)=6 and g(x)=6
Step-by-step explanation:
This is going to look crazy but try to follow along. I did a similar equation and got the answer correct.
1. find g(x)
2. x=3*
3. g(3)=3·2
4. x=6
Wherever there is an x put the number 3.....ONLY for g(x)
* ONLY in g(x)
4. Solve for f(x)
Since the equation for f(x) is f(g(3)) and the answer in g(x) was 6 wherever there is an x in the equation f(x)=2x-3 put the number 6
5. f(6)=2·6-3
6.f(x)=2·3
7.f(x)=6
Find the student's error in solving the following
inequality.
31 <-5x + 6
25 <-5x
-5
What is the slope of the line shown below?
(3, 8)
(1, -2)
[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]
To find the slope of the line, I will be showing you the table method.
To find the slope of the line using the table method,
we start by making a table for our ordered pairs.
We will put the x values in the left column
and the y values in the right column.
Our first ordered pair is (3, 8), so we put a
3 in the x column and a 8 in the y column.
Our second ordered pair is (1, -2), so we put a
1 in the x column and a -2 in the y column.
Next, remember that the slope or m, is always equal to
the rate of change or the change in y over the change in x.
Using our table, we can see that the y values
go from 8 to -2 so the change in y is -10.
The x values go from 3 to 1 so the change in x is 2.
Therefore, the rate of change, or the change in y
over the change in x is -10/2 which reduces to 5.
This means that the slope is also equal to 5.
What is the vertex of the graph of the function below? y = x^2 - 4x + 3 A. (1, -1) B. (1, 0) C. (2, -1) D. (2, 0)
Answer: (1, 0)
Step-by-step explanation:
Just plug in the coordinates for x and y to see if the final answer has x and y equivalent.
(0) = (1)^2 - 4(1) + 3
0 = 1 - 4 + 3
0 = -3 + 3
0 = 0
Answer:
(2, -1)
Step-by-step explanation:
Ap3x
I WILL GIVE BRAINLEIST TO WHOEVER ANSWERS THIS FIRST
Is the value of 9−y twice as much as the value of y?
Answer:
I think it is greater because when you put the y alone it has the value of 1.
So, 9-y it will always be greater. It can be double and triple as well. I hope this helps you.
Step-by-step explanation:
Find the size of angle XYZ.
Give your answer to 1 decimal place.
Z
13 cm
x
Y
4 cm
Answer:
72.9°solution,
[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]
hope this helps ....
Good luck on your assignment...
By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
What are Trigonometric identities ?Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.
We have given that x=4cm , y=4cm and z=13cm.
By applying trigonometry of tan which is perpendicular upon base i.e. P/B
A triangle would be constructed , base would be z=13cm
and x and y will define the other 2 lines of 4 cm each.
tan Ф = perpendicular/ base,
tan Ф = 13/4
Ф = tan [tex]^{-1}[/tex] (3.25cm)
Ф = 72.9°
Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ2
Keenan is making a model of a stadium using a scale in which 0.25 centimeters equals 10 feet. If the actual length of the stadium is 300 feet, how long is the model, in centimeters? Your answer can be exact or rounded to two decimal places. the answer is not (75,1200, or 9144.0 cm)
Answer:
7.5cm
Step-by-step explanation:
0.25 cm=10ft
x30. x30
7.5 cm=300ft
Hpoe this helps! :) :)
PLEASE HELP Draw the polygon whose vertices are (-2, 3), (-2, -3) (3, 1) and ( 3, 7) ,
Answer:
Parallelogram
Step-by-step explanation:
When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.
PLZ MARK BRAINLIEST!!!
Please help this is due in 30 minutes!
Answer:
[tex]1.\ 12\ feet = 4\ yards[/tex]
[tex]2.\ 4\ miles = 21120\ feet[/tex]
Step-by-step explanation:
Given
12 feet = _____ yard
4 miles = ____ feet
To start with;
we need to understand the unit of conversion between the two measurements;
1. 12 feet = _____ yard
To convert from feet to yard;
[tex]1\ foot = \frac{1}{3} yard[/tex]
This implies that;
[tex]12\ feet = 12 * \frac{1}{3} yard[/tex]
[tex]12\ feet = \frac{12}{3} yard[/tex]
[tex]12\ feet = 4\ yards[/tex]
2. 4 miles = ____ feet
To convert from miles to feet;
[tex]1\ mile = 5280\ feet[/tex]
This implies that;
[tex]4\ miles = 4 * 5280 feet[/tex]
[tex]4\ miles = 21120\ feet[/tex]