Answer:
Step-by-step explanation:
sec (-x)-sin (-x) tan (-x)=cos x
sec(x)-(-sin x)(-tan x)=cos x
1/cos x-sin x(sin x/cos x)=cos x
multiply by cos x
1-sin ²x=cos²x
or 1=sin²x+cos²x
which is true.
The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nearest whole number, if necessary.
Answer:
The rhombus ABCD has an area of 22 square units.
Step-by-step explanation:
The coordinates of rhombus ABCD are shown in the image attached below. The area of the rhombus can be found in terms of their diagonals, which are now calculated by Pythagorean Theorem:
[tex]AC = \sqrt{[6-(-4)]^{2}+[8-(-4)]^{2}}[/tex]
[tex]AC = 15.620[/tex]
[tex]BD = \sqrt{(4-6)^{2}+[0-(-2)]^{2}}[/tex]
[tex]BD \approx 2.828[/tex]
The area of the rhombus is: ([tex]AC = 15.620[/tex] and [tex]BD \approx 2.828[/tex])
[tex]A = \frac{AC\cdot BD}{2}[/tex]
[tex]A = \frac{(15.620)\cdot (2.828)}{2}[/tex]
[tex]A = 22.087[/tex]
The rhombus ABCD has an area of 22 square units.
Answer:
22 units
Step-by-step explanation:
Jan is solving the equation shown below. Which of the following represents the solution to Jan’s equation?
a. x = 3
b. x = -3
c. x = 27
d. x = -33
Answer:
C. X=27
Step-by-step explanation:
-11+1/3x+9=7
1/3x=7+11-9
1/3x=9
x=9x3
x=27
Write ln (4∕9) in terms of ln 2 and ln 3. Question 13 options: A) 3(ln 2 – ln 3) B) 2ln 2 – 2ln 3 C) 4ln 2 – 4ln 3 D) ln2 2 – 4ln 3
Answer:
The answer is option B
Step-by-step explanation:
2ln 2 - 2ln3
= ln ( 2²/3²)
= ln (4/9)
Hope this helps you
Answer:
B) 2ln 2 – 2ln 3
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
2. x = -16 y = -10.5
3. x = 4
4. x = 3 y = 2/9 or 0.2222222222222...
Step-by-step explanation:
2.
in my stategy, you plus -5x + 8y = -4 with 6x - 8y = -12
+8y and -8y could delete each other, then y will be gone.
-5x + 6y = 1x = x because -5 + 6 = 1
so then you could got x = (-4) + (-12) which means x = -16
if x = -16 that will then means
(-5) x (-16) + 8y = -4
80 + 8y = -4
8y = -4 - 80
8y = -84
y = -10.5
3.
This question has already given you that y = -5
that means, 3x + 6 × (-5) = -18
3x + -30 = -18
3x = -18 - (-30)
3x = 12
x = 4
4.
Like the 2. qestion, you first plus the 2 equation together,
+9y + -9y = 0
-7x + 4x = -3x
-19 + 10 = -9
than means
-3x = -9
x = 3
then put the x = 3 in one of the equation.
4 x 3 - 9y = 10
12 - 9y = 10
-9y = 10 - 12
-9y = -2
-7 x 3 + 9y = -19
-21 + 9y = -19
9y = -19 + 21
9y = 2
y = 2/9 or 0.2222222222...
Wish this could help you!
Answer:
Step-by-step explanation:
FIRST ,
ADD BOTH EQUATIONS
THEREFORE X=-16 , Y =-21/2
SECOND,
SUBSTITUTE Y=-5 IN EQN.1
THEREFORE X= 4 , Y=-5
THIRD ,
ADD BOTH EQUATIONS
THEREFORE X= 3 , Y= 2/9
MARK ME AS BRAINLIEST PLS...........................................
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Answer:
72cm2 (2 means squared)
Step-by-step explanation:
you add all the sides once you get the are for each side. To do that you multiply l(w)
Answer:
The surface area of the rectangular prism is [tex]136cm^{2}[/tex]
Step-by-step explanation:
What is surface area?
Surface area is the amount of space covering the outside of a three-dimensional shape.
What is rectangular prism?
A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.
Given, length l= 7cm
breadth b=6cm
height h=2cm
The surface area of the cuboid is,
=2(lb+bh+lh)
=2(7*6+6*2+2*7)
=2(42+12+14)
=2*68
=136 [tex]cm^{2}[/tex]
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please solve these questions for me. i am having a difficult time understanding.
Answer:
1) AD=BC(corresponding parts of congruent triangles)
2)The value of x and y are 65 ° and 77.5° respectively
Step-by-step explanation:
1)
Given : AD||BC
AC bisects BD
So, AE=EC and BE=ED
We need to prove AD = BC
In ΔAED and ΔBEC
AE=EC (Given)
[tex]\angle AED = \angel BEC[/tex] ( Vertically opposite angles)
BE=ED (Given)
So, ΔAED ≅ ΔBEC (By SAS)
So, AD=BC(corresponding parts of congruent triangles)
Hence Proved
2)
Refer the attached figure
[tex]\angle ABC = 90^{\circ}[/tex]
In ΔDBC
BC=DC (Given)
So,[tex]\angle CDB=\angle DBC[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle CDB=\angle DBC=x[/tex]
So,[tex]\angle CDB+\angle DBC+\angle BCD = 180^{\circ}[/tex] (Angle sum property)
x+x+50=180
2x+50=180
2x=130
x=65
So,[tex]\angle CDB=\angle DBC=x = 65^{\circ}[/tex]
Now,
[tex]\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90[/tex]
So,[tex]\angle ABD=90-x=90-65=25^{\circ}[/tex]
In ΔABD
AB = BD (Given)
So,[tex]\angle BAD=\angle BDA[/tex](Opposite angles of equal sides are equal)
So,[tex]\angle BAD=\angle BDA=y[/tex]
So,[tex]\angle BAD+\angle BDA+\angle ABD = 180^{\circ}[/tex](Angle Sum property)
y+y+25=180
2y=180-25
2y=155
y=77.5
So, The value of x and y are 65 ° and 77.5° respectively
Please hurry!!!
The fraction bars represent which equation?
A fraction bar is labeled 1. Underneath the bar, 4 boxes are labeled 1/4. Underneath the 4 boxes, boxes are labeled 1/8. 6 of those boxes are circled.
A. 1/4 ÷ 1/8 = 6
B. 3/4 ÷ 1/8 = 6/8
C. 1/4 ÷ 1/8 = 6/8
D. 3/4 ÷ 1/8 = 6
Answer:
Answer- 3/4 divided by 1/8 = 6/8
Which of the following geometric series converges?
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is
[tex]S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}[/tex]
Multiply both sides by r :
[tex]rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n[/tex]
Subtract the latter sum from the first, which eliminates all but the first and last terms:
[tex]S_n-rS_n=a-ar^n[/tex]
Solve for [tex]S_n[/tex]:
[tex](1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}[/tex]
Then as gets arbitrarily large, the term [tex]r^n[/tex] will converge to 0, leaving us with
[tex]S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}[/tex]
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
You spend 1/5 of your income on car payment. You spend 3/8 of the remainder of your income on rent. What fraction of income is spent on rent?
Answer:
3/10
Step-by-step explanation:
1/5 of total income - spent on car
remainder income = 4/5
3/8 of remainder = 3/8 ×4/5 = 3/10(of total income spent on rent)
the word "of" means you can find it by multiplication
e.g. 2 of 1/2 means 2 × 1/2 which is 1
Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).
Answer:
(-6,6), (0,12), (4,8)
Step-by-step explanation:
To dilate an object, we need to multiply the x and y values by the given scale factor.
In this case the scale factor is 2 --> 2(x, y)
Before-> After dilation
2(-3,3) = (-6,6)
2(0,6) = (0,12)
2(2,4) = (4,8)
Please leave a 'thanks' if this helps!
The coefficients of the first three terms in the expansion of (x – y) 4 are PLESE HELP! a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5
Answer:
the answer is C
Step-by-step explanation
I am guessing you mean (x-y)^4 and this expanded is [tex]x^4+4x^3y+6x^2y^2+4xy^3+y^4\\[/tex] and the first three coefficients are 1,4,6
The required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.
Given that,
To determine the coefficients of the first three terms in the expansion of (x – y)⁴.
The coefficient is defined as the number present former to any variable is called a coefficient.
Here,
[tex]\left(x-y\right)^4=\quad x^4-4x^3y+6x^2y^2-4xy^3+y^4[/tex]
First three coefficients from the above equation,
= 1, -4 and 6
Thus, the required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.
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The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence 2, -6, 18, -54, ...? an = 2 · 3n - 1 an = 2 · (-3)n - 1 an = 3 · 2n - 1 an = -3 · 2n - 1
Answer:
The second choice
Step-by-step explanation:
So first we would plug in the first term which is 2 so we would get [tex]an=2[/tex] times [tex]rn-1[/tex] so next we would see that the common ration is -3 since every time the number is being multiplied by -3. so then our equation would be [tex]an= 2[/tex] times [tex]-3n-1[/tex]. Now we would just find the choice that matches and it would be the second choice.
Answer:
option 2
Step-by-step explanation:
First term [tex]a_{1} = 2\\[/tex]
common ratio = r = second term ÷ first term
= -6 ÷2 = -4
Plug in the values of [tex]a_{1}[/tex] & r in the formula
[tex]a_{n} = a_{1}*r^{n-1}\\\\\\a_{n}=2 * (-3)^{n-1}[/tex]
Help needed urgently explain how to do for each and everyone, please
Answer:
1) a0.1 = 1/10
b).0.64 = 64/ 100 = 16/25
2).a0.7841 = 7841 / 10,000
b).0.67 = 67/100
3). a0.53 = 53/100
b).0.26 = 26/100 = 13/50
4). a0.6 = 6/10 = 3/5
b.0.42 = 42/100 = 21/50
Hope this helps you
Which of the following functions represent exponential growth? f(x)=.0001(1.77)^x f(x)=2(1.5)^x/2 f(x)=5(0.5)^-x f(t)=5e^-t
Answer:
Hello There. ☆~\《`°---_●£●__---`°》\~☆
An exponential growth function is represented by
f(x)=a(b)^{x},a>0,b>1.
The given functions can be written as,
A)f(x)=.001(1.77)^x,0.001>0,1.77>1
B)f(x)=2(1.5)^{x/2}=2(\sqrt{1.5} )^x,2>0,\sqrt{1.5} >1
C)f(x)=5(0.5)^{-x}=5(2)^x,5>0,2>1
D) f(t)=5e^{-t}=5(\frac{1}{e} )^x,5>0,1/e.
So the function f(t)=5e^{-t}=5(\frac{1}{e} )^x,5>0,1/e violates the conditions for an exponential growth function. It is an exponential decay function.
The correct choices are (A), (B), (C).
Hope It Helps!~ ♡
ItsNobody~ ☆
The functions that represent exponential growth are choices (A), (B), and (C). The correct option is A, B, and C.
What is exponential growth?Exponential growth is the process of gradual increase of quantity over time.
An exponential growth function is represented by
[tex]\rm f(x)=a(b)^{x}[/tex], a>0,b>1
The given functions can be written as,
A)[tex]f(x) = .001(1.77)^x[/tex], 0.001>0,1.77>1
B) [tex]f(x) = 2(1.5)^{x/2} = 2(\sqrt{1.5} )^x,[/tex] 2>0, [tex]\sqrt{1.5}[/tex] >1
C)[tex]f(x) = 5(0.5)^{-x}=5(2)^x[/tex], 5>0, 2>1
D) [tex]f(t) = 5e^{-t}=5(\frac{1}{e} )^x[/tex], 5>0, 1/e.
So, the function [tex]f(t)=5e^{-t}=5(\frac{1}{e} )^x,5 > 0,1/e[/tex] violates the conditions for an exponential growth function. It is an exponential decay function.
The correct choices are (A), (B), and (C).
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-----------------> 10x - 3 - 2x = 4
Answer:
[tex]x=\frac{7}{8}[/tex]
Step-by-step explanation:
[tex]10x-3-2x=4[/tex]
First, collect and rearrange the like terms.
[tex]10x-3-2x=4[/tex]
[tex]8x-3=4[/tex]
[tex]8x=4+3[/tex]
Then, solve the equation:
[tex]8x=4+3[/tex]
[tex]8x=7[/tex]
[tex]x=\frac{7}{8}[/tex]
So, the answer is [tex]x=\frac{7}{8}[/tex]. Hope my solution and explanation can help you. Thank you!
If you still cannot get the point, you can ask me anytime.
Answer:
x=7/8
Step-by-step explanation:
10x-3-2x=4
collect like term
8x-3=4
move constant to the right-hand side and change its sign
8x-3=4 into 8x=4+3
add up the number : 8x=4+3
8x=7 divide both sides of the equation by 8
x = 7/8
Suppose that f(x)=4x+5. What is f^-1 (f^-1(9)) ?
Step-by-step explanation:
the inverse of the inverse of a function is the function itself
It's like going and coming back
f^-1(f^(-1)9) = f(9) f(9) = 4*9+5f(9) = 36+5 f(9) = 41Answer:
9
Step-by-step explanation:
The inverse of the inverse is the input
f^-1 (f^-1(9)) = 9
As a proof
f(x) = 4x+5
y = 4x+5
Exchange x and y
x = 4y+5
Solve for y
(x+5) = 4y
(x+5)/4 = y
f^-1 (x) = ( x-5)/4
Then find the inverse of this function
y = ( x-5) /4
Exchange x and y
x = (y-5)/4
4x = y-5
4x+5 = y
Which gives us the original function back
f^-1( input) = 4x+5
Using the value given
f^-1 (9) = ( 9-5)/4=4/4 =1
Using the 1 from the previous part as the input
f^-1( 1) = 4*1+5 = 4+5 = 9
Type the correct answer in the box. Write your answer as a fraction, using / for the fraction bar.
Distinct four-letter sequences are formed by picking 4 letter tiles from a bag containing 11 different alphabet tiles. Note that the order in which the letters are picked matters.
The probability of getting a particular four-letter sequence is .
The probability of getting a particular four letter sequence is [tex]\frac{1}{7920}[/tex].
What is permutation?
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
Formula for permutation[tex]P(n, k) =\frac{n!}{(n-k)!}[/tex]
Where:
n – the total number of elements in a set
k – the number of selected elements arranged in a specific order
! – factorial
What is probability?Probability is the measure of the likelihood of an event to occur.
Formula for probabilityP(E) = number of favorable outcomes/ total number of outcomes
According to given question
We have
Total number of tiles = 11
And we have to form distinct four letter sequences by picking 4 letter tiles a bag containing 11 different alphabet.
⇒ n = 11 and k = 4
So, the total number of distinct four letter sequences formed by picking 4 tiles from a bag = [tex]11P_{4}[/tex]
⇒ total number of distinct four letters = [tex]\frac{11!}{(11-4)!} = 7920[/tex]
Since, we have to get only one particular sequence.
⇒ Total number of favorable outcomes = 1
And there are total number of four teller sequence = 7920
⇒ Total number of outcomes = 7920
Therefore, the probability of getting a particular four letter sequence = [tex]\frac{1}{7920}[/tex]
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which equation is correct?
arccsc(x)=1/cos(x)
Answer:
arccsc(x)=1/cos(x)
Step-by-step explanation:
Answer:
the answer to your question is D
Step-by-step explanation:
Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
Answer:
Option A.
Step-by-step explanation:
there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.
Let x and y be the number of stamps of 40 cents and 55 cents respectively.
Total number of stamps is 45. So
[tex]x+y=45[/tex]
Total cost of stamps is $18.75. So
[tex]0.40x+0.55y=18.75[/tex]
But Krista wrote the system of equations as
[tex]0.40x+y=45[/tex]
[tex]x+0.55y=18.75[/tex]
Krista put 0.40 in the first equation meant for the number of stamps.
Krista did not write 0.40 in the second equation meant for the value of stamps.
Therefore, the correct option is A.
Answer:
The answer is A
Step-by-step explanation:
TOOK THE TEST!
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:115:115, colon, 1. He currently has 404040 grams of the spice blend, and he can go buy more if necessary. He wants to make 101010 servings, where each serving has 757575 grams of rice. Overall, David spends 4.504.504, point, 50 dollars on rice. How many servings can David make with the current amount of spice he has
Answer:
8 servings
Step-by-step explanation:
At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...
40 g/(5 g/serving) = 8 servings
Only 8 servings can be made with the available spice.
Rice to spice ratio = 15 : 1
Number of grams per serving = 75 grams
Grams of spice available = 40 grams
Grams of rice, r required for available spice :
15 grams of rice = 1 gram of spice
r grams of rice = 40 grams of spice
Cross multiply :
r = (40 × 15)
r = 600 grams
The grams of rice which can go with the available spice :
Number of servings = grams of rice / grams per serving
Number of serving = 600 grams / 75 grams
Number of grams per serving = 8
Hence, The number of servings which can be made with the available spice is 8 servings
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PLEASE HELPPPP Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years. Number of years 1 2 3 House 1 (value in dollars) 253,980 259,059.60 264,240.79 House 2 (value in dollars) 256,000 263,000 270,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points) (10 points)
Part A
House 1: we make exponential can be used to describe the
value of house 1. After 1 year, 253480 = 249000 x 1.02
After 2 years, 259059.6 = 25398×1.02. After 3 years 264240.79 =259059.60x1.02.
House 1: we make linear. 256000=249000 + 1000.263000 = 256000 +7000.270000=263000 + 1000.
Part B.
House 1: f(x)=249000 1.02x [genometic sequence]
House 2: f(X) = 24900 + 1000x [arithmetic progression]
Part C
House 1: f(45)=249000×1.02 45 = 607025.697
House 2: f(45) = 249000 +7000x45 = 564000
"House 1 is an arithmetic sequence that increases in price each year while House 2 is an arithmetic sequence that only increases by 1000 per year.
What are word problems in mathematics?
In computational mathematics, a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.
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Experiment consist of drawing one card from a standard 52 card deck. What is the probability of drawing a black 10?
Answer:
2/52 or 1/26 or 0.0385 or 3.85%
Step-by-step explanation:
There are 2 black 10's in a standard 52 card deck.
2/52 or 1/26 or 0.0385 or 3.85% (depending on how your teacher wants it expressed)
4) Jacqueline, Hanry, and Stanley bought a pizza pie to share for dinner. Harry ate
1/2 of the pie, and then Jacqueline ate 1/2 of what was left. After Jacqueline
finished, Stanley ate 1/2 of what was left of the pie. What fractional part of the
pizza pie was left after Stanley finished eating? Help please
Answer:
1/8
Step-by-step explanation:
ok so before i start i wanna say that this is gonna get confusing.....
Since the pizza is a whole quantity let us take it as 1.
Harry ate half of the pizza therefore the fraction that Harry ate = 1/2 of 1
= 1/2 × 1 = 1/2
Therefore fraction Harry ate = 1/2
Fraction of pizza left = 1 - 1/2 (LCM = 2)
= 1/2
Jacqueline ate 1/2 of what was left.
So, Fraction of pizza Jacqueline ate = 1/2 × 1/2 = 1/4
Therefore fraction of pizza left after both Harry and Jacqueline ate =
1 - (1/2 +1/4) = 1 - 3/4 (LCM = 4) = 1/4
Therfore fraction of pizza left = 1/4
Stanley ate 1/2 of what was left.
So, fraction of pizza Stanley ate = 1/2 × 1/4 = 1/8
Therefore, fraction of pizza left after all three of them ate =
1 - (1/2 + 1/4 + 1/8) = 1 - 7/8 (LCM = 8) = 1/8
I hope this helps .......i know this is rlly confusing but i dont know how else to put it : )
Have a nice day!
Solve for x: 4x - 2 > 6x + 8. (5 points)
x<-5
x>5
x<5
x>-5
Answer:
x<-5 is the correct answer
Answer:
x<-5 is the answer
Step-by-step explanation:
hi there plz help me
Answer:
for every 3 tomato plants there will be 1 squash plants
Step-by-step explanation:
9 divided by 3 = 3. That will find the tomatoes
then you have to divide all the other plants by 3. Squash will be the only one with 1 plant per 3 tomato plants.
The answer is B
Answer:
B. Squash
Step-by-step explanation:
There are 9 tomato plants and there are 3 squash plants.
9 ÷ 3 = 3
3 tomato plants = 1 squash plants
3 × 3 = 1 × 3
9 = 3
9 tomato plants = 3 squash plants
Mark scored an 89 on his first
test, an 85 on his second test, a
95 on his third test, and an 83 on
his fourth test. What is Mark's
average test score for all 4 tests?
Answer:
88
Step-by-step explanation:
89+85+95+83= 352,
352/4 = 88
IMPORTANT! ANSWER QUESTION NOW. Will award brainliest. Find the value of x. Give reasons to justify your solution.
Answer:
48 degrees for A and 7 12 degrees for B
Step-by-step explanation:
As you can see in the first picture, C and x share the same angle and the angle is 48 degrees. On the second picture the answer is 12 because 3*4=12.
Find the.equation of the line through point (-4,1) and parallel to y=-1/2x -2
Answer: y = -1/2x -1
Step-by-step explanation: since the new line is parallel to the given line the slope of both the lines world be same. Therefore putting the new values in the equation
y-y1=m(x-x1)
y-1=-1/2(x+4)
y-1=-1/2x -2
y=-1/2x-1
What’s the slope for this graphed?
A.1/2
B.-2
C.2
D.-3
Answer:
the answer is just 2
Step-by-step explanation:
start at the -3 and move right 3 and up 6 this is a inclined line so the answer will be positive the fraction put the numbers into a rise over run fraction which will be 6/3 which will reduce to 2/1 which is 2.
Searches related to Leonard measured the mass of each pumpkin in his patch to the nearest tenth of a kilogram. He then created both a histogram and a box plot to display the same data (both diagrams are shown below). Which display can be used to find how many pumpkins had masses below 6.0 kilograms? Choose 1 answer: Which display can be used to find that the median mass was 8 kilograms?
Answer:
Masses Below 6: Histogram
Median Mass: Box Plot
Step-by-step explanation:
For the pumpkins below 6 kilograms in mass, the Histogram is easier to use. The information is grouped in different masses. You could look at the '0-2.9' and the '3.0-5.9' areas to see pumpkins under 6 kilograms.
For the median, the box plot is easier to use. The line inside the box represents the median. This means that you can very easily see the median. The line is at the '8' mark, so the box plot shows that the median is 8.
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