Carrie is comparing the growth of plants under natural and artificial light sources.
Part A
Use the measures of center from the box plots to make an inference about the data.
Part B
Use the box plots to make an inference using the variability of the data.
Answers
Answer:
Median :
P = 2 ; Q = 3.5
Variability :
P = 1.5 ; Q = 1.5
Step-by-step explanation:
The measure of center we can infer from the box plot is the median, which is the point marked by the vertical line in between the box ;
For Group P:
Median = 2 inches
For Group Q :
Median = 3.5 inches
To infer the variability :
We calculate the interquartile range (IQR) :
IQR = Q3 - Q1
Q3 = Upper quartile (end point of box) ; Q1 = lower quartile (start point of box) in the plot
Locate QI and Q3
Group P:
IQR = Q3 - Q1 = 3 - 1.5 = 1.5
Group Q :
IQR = Q3 - Q1 = 4.5 - 3 = 1.5
Related Questions
Find each product. A. 2/5 • (-10)
B. -8 • (-3/2)
C. 10/6 • 0.6
D. (-100/37) • (-0.37)
Answers
Answer:
A. -4
B. 12
C. 1
D. 1
Step-by-step explanation:
change the whole number to fractions and multiply using fraction multiplications.
What is the area of the square above
A. 44 square centimeters
B.88 square centimeters
C.121 square centimeters
D.242 square centimeters
Answers
Step-by-step explanation:
A 44 square cantimeters
Select the correct answer from each drop-down menu.
The graph of the equation y = -x4 + x2 − 2
(A. Increases as x approaches negative infinity and decreases as x approaches positive infinity.)
(B. Decreases as x approaches negative infinity and increases as x approaches positive infinity)
(C. Increases as x approaches negative and positive infinity)
(D. Decreases as x approaches negative and positive infinity)
The graph of the equation y = x5 + x2 + 7
(A. Increases as x approaches negative infinity and decreases as x approaches positive infinity.)
(B. Decreases as x approaches negative infinity and increases as x approaches positive infinity)
(C. Increases as x approaches negative and positive infinity)
(D. Decreases as x approaches negative and positive infinity)
The graph of the equation y = x6 + 2x3 + 3
(A. Increases as x approaches negative infinity and decreases as x approaches positive infinity.)
(B. Decreases as x approaches negative infinity and increases as x approaches positive infinity)
(C. Increases as x approaches negative and positive infinity)
(D. Decreases as x approaches negative and positive infinity)
Answers
Answer:
y = -x⁴ + x² - 2 : D
y = x⁵ + x² + 7 : B
y = x⁶ + 2x³ + 3 : C
Step-by-step explanation:
anyways look at the part with the largest power of x. it will have the biggest impact on the overall value, when x approaches positive or negative infinity.
in the first one this is -x⁴
x⁴ is always positive (for positive and negative x). so, -x⁴ is always negative. therefore, it decreases in both cases when x approaches positive or negative infinity.
in the second one this is x⁵.
this goes with the sign of x. it is getting bigger (it increases), when x approaches positive infinity, and it is getting smaller (it decreases), when x approaches negative infinity.
in the third one this is x⁶.
this is always positive (for positive and negative x). therefore, it increases in both cases when x approaches positive or negative infinity.
Which of the following is the function F(x) if F^-1(x) = x+4/11?
A. F(x) = 11x - 4
B. F(x) =X-4/11
C. F(x) = 11(x-4)
D. F(x) = 11x +4
Answers
Answer:
B. F(x) =X-4/11
Step-by-step explanation:
We are given the inverse function;
f^(-1)(x) = x + 4/11
Thus means, x was replaced with y and vise versa. Thus;
x = y + 4/11
Lets make y the subject;
y = x - 4/11
Thus,in inverse of a function we replace y with f(x) for the original function or f^(1)(x) for the inverse.
Thus, putting f(x) for y gives;
f(x) = x - 4/11
Can someone help me answer this question?
Answers
Answer:
[tex] \frac{2}{4} , \frac{3}{4} \\ 1 \frac{2}{4} \\ 2 \frac{1}{4} [/tex]
What is the constant of proportionality in the equation y=\dfrac{5}{9}xy= 9 5 xy, equals, start fraction, 5, divided by, 9, end fraction, x? constant of proportionality ==equals
Answers
Answer:
5/9
Step-by-step explanation:
If a variable y is directly proportional to x, then;
y = kx where;
k is the constant of proportionality
Given the expression y = 5/9 x
On comparing with the general formula;
kx = 5/9 x
k = 5/9
Hence the constant of proportionality of the expression is 5/9
Answer:
5/9
Step-by-step explanation:
i tried it on khan and its right trust me
You buy a patty for $200 and pay 16% in tax (G.C.T). How much is money was paid to the cashier?
Answers
Answer:
$232
Step-by-step explanation:
Add 16% to 100% then multiply by 200
D) Sum of the two adjacent angles is 140°. If the second angle is 7 less than six times the first angle, find the two angles. (2 Marks)
Answers
Answer:
FIRST ANGLE = 21 degree
SECOND ANGLE = 119 degree
Step-by-step explanation:
140 = 6x - 7 + x
140 = 7x - 7
combine like terms
140 + 7 = 7x
147 = 7x
x = 21
second angle = 6(21) - 7 = 119
Kim's class voted on a location for a field trip. 3/4 of the class voted for the museum and 1/8 of the class voted for the zoo. The rest of the class voted for the nature park. What fraction of the class voted for the nature park?
Answers
Answer:
1/8
Step-by-step explanation:
3/4=6/8
6/8+1/8=7/8
1-7/8=1/8
Please someone help!
Thanks!
Answers
Answer:
1 1/2y-5
Step-by-step explanation:
Simplify.
-1/2(-3y+10)
Use distributive property to multilpy -1/2 by -3y and -1/2 by 10.
=1 1/2y - 5
Answer:
[tex]1.5x-5[/tex]
Step-by-step explanation:
When given the following problem,
[tex]-\frac{1}{2}(-3x+10)[/tex]
Distribute, multiply every term inside the parenthesis by the term outside of the parenthesis,
[tex]=(-\frac{1}{2})(-3x)+(-\frac{1}{2})(10)[/tex]
Now simplify the expression, remember, negative times negative is positive,
[tex]=\frac{3}{2}x-5[/tex]
Rewrite as a decimal; remember ([tex]\frac{1}{2}[/tex]) is equivalent to ([tex]0.5[/tex]). Therefore ([tex]\frac{3}{2}[/tex]) equals ([tex]1.5[/tex]). Apply this here to rewrite the expression as a decimal,
[tex]1.5x-5[/tex]
Which function is increasing at the highest rate?
A.
x 1 2 3 4 5
g(x) -5 -4 -3 -2 -1
B.
C.
A linear function, f, with an x-intercept of 8 and a y-intercept of -4.
D.
Answers
PLEASE HELP!
Adele's checking account balance last month was $4650. If her checking
account pays 1% interest monthly and has a $12 service fee, how much was
the credit to her account?
A. $12.50
B. $34.50
C. $46.50
D. $25.00
Answers
Use the probability model listing all 6 possible outcomes
when rolling a six-sided number cube. What is the
probability of rolling 5 or greater?
A) 2/3
B) 5/6
C) 1/3
D) 1/6
Answers
Answer:
C) 1/3
Step-by-step explanation:
if you have a 6 sided cube you have 1/6 of a chance of landing on any number.
But you only have a 2/6 chance of landing on 5 or greater.
2/6 is also equal to 1/3
Ranking correct answer brainliest :)
Answers
Answer:
115
Step-by-step explanation:
angle DEF is an inscribed angle and arc DF is the arc it intercepts
if you didn't know an inscribed angle is equal to half the measure of the arc it intercepts
Hence angle DEF = 1/2 of arc DF
If arc DF = 230 then angle DEF = half of 230 or 230/2
230/2=115
Hence angle DEF = 115
Which best describes the inventor of a triangle?
Answers
Answer:
I think C
Step-by-step explanation:
islah sold a shirt at sh 2000 making a loss of 9%, how much did islah paid for the shirt ?
Answers
Answer:
2,197.8
Step-by-step explanation:
Keith and his little brother, Sean, carried the bags of groceries into the house after their
grandmother went shopping. Because Keith is older, he carried 3 times as many bags as
Sean.
Pick the diagram that models the ratio in the story.
Keith
Sean
Keith
Sean
If Keith carried 6 bags of groceries, how many bags were there altogether?
bags
Answers
Answer:
8 bags altogether
Step-by-step explanation:
Again, without a photo, I can't choose the diagram. Very sorry.
k is Keith, s is Sean
k = 3s
substitute in bags Keith carried and solve for s
6 = 3s
divide both sides by 3
s = 2
Keith carried 6, Sean carried 2,
6 + 2 = 8 bags total
determine the equation of the circle graphed below .
( help please )
Answers
Answer:
(x + 5)² + (y - 4)² = 17
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 5, 4 ) , then
(x - (- 5) )² + (y - 4)² = r² , that is
(x + 5)² + (y - 4)² = r²
r is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 1, 5)
r = [tex]\sqrt{(-1+5)^2+(5-4)^2}[/tex]
= [tex]\sqrt{4^2+1^2}[/tex]
= [tex]\sqrt{16+1}[/tex]
= [tex]\sqrt{17}[/tex] ⇒ r² = ([tex]\sqrt{17}[/tex] )² = 17
Then
(x + 5)² + (y - 4)² = 17 ← equation of circle
Answer:
x² + y² + 10x - 8y + 24 = 0
Step-by-step explanation:
equation of a circle :-
equation of a circle :-(x - h)² + (y - k)² = r²
(h, k) is the center of the circle R is the radius of the circlefor this circle :-
h = -5k = 4R = ?finding radius of the circle
we've been given a point ( -1, 5) that lies on the circle and hence should satisfy the equation of the circle
putting x = -1 and y = 5
=> (-1 - (-5))² + (5 - 4)² = r²
=> (-1 + 5)² + 1² = r²
=> 4² + 1 = r²
=> 17 = r²
[tex] = > r = \sqrt{17} [/tex]
the radius if the circle is √17 units
__________________________________
finding the equation of the circle
=> (x + 5)² + (y - 4)² = (√17)²
=> x² + 25 + 10x + y² + 16 - 8y = 17
as for any two variables a and b, (a + b)² = a² + b² + 2ab=> x² + y² + 10x - 8y + 24 = 0
Ava buys a book for 8.58. She pays with a $10 bill. How much change will she get?
Answers
Answer:
1.42
Step-by-step explanation:
someone please help me!!
Answers
Answer:
y= -3x+5
Step-by-step explanation:
It's kind of hard to see but I'm going to assume it looks like
y-2=(1/3)(x-1)
Let's start by converting this into slope-intercept form
y-2=x/3-1/3
y=x/3+2/3
One line is perpendicular to another line if their slopes are negative reciprocals of each other
our slope now is 1/3 which means its negative reciprocal is -3
so we have
y= -3x+b
Plug in the required coordiante to solve for b
2= -3(1)+b
2= -3+b
b= 5
put it together to get
-3x+5
Would appreciate any help!
Answers
Use the 45-45-90 theorem:
45 45 90
s s s√2
6 6 6√2
A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is
1. -9
2. -1
3. 8
4. 15
Answers
3. 8
Hpta me están poniendo a escribir mucho men
The value of a₄ is -9
What is recursively defined sequence?Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.
In this given problem
a₁ = 5
given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7
using this relation
take n=1
a₂ = 2a₁-7 =(2*5)-7=3
then by taking n=2
a₃ = 2a₂-7 =(2*3)-7=-1
then taking n=3
a₄= 2a₃-7 =(2*(-1))-7= -9
so the final answer will be a₄ = -9
learn more about Recursively defined sequence
Here: https://brainly.com/question/1480398
#SPJ2
Wats the volume of this prism
Answers
Please give real answers with an explaination. 30 points + I will give brainliest. No Docs/No Files/No Links only answer with explaination.
Answers
Answer:
option A
Step-by-step explanation:
The line splits the triangle ABC into two triangles with same base length.
Therefore ,
[tex]Area \ of \ ABC = Area \ of \ ABD + Area \ of \ CBD\\\\[/tex]
[tex]= (\frac{1}{2} \times base \times height) + (\frac{1}{2} \times base \times height)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times CD \times BD)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times AD \times BD)[/tex][tex][ \ Given : AD = \ CD \ ][/tex]
[tex]= 2 \times (\frac{1}{2} \times AD \times BD)\\\\= 2 \times Area \ of \ ABD[/tex]
Find an equation of a line that is parallel to 2x+3y=6 and passes through the point (4, 4)
Answers
Answer:
Answer:
Step-by-step explanation:
Slope of a line 2x+3y=6 is -2/3
So line passing through (0,4) has same slope because both are parallel
From slope intercept form we have
Y-y1 =m(x-1)
Y-4= -2/3(x-0)
3Y-12 = -2x
3Y+2x = 12
Which is required equation of a line.
Step-by-step explanation:
Answer:
y = -2/3x + 20/3
Step-by-step explanation:
2x + 3y = 6
3y = -2x + 6
y = -2/3x + 2
y = -2/3x + b
4 = -2/3(4) + b
4 = -8/3 + b
20/3 = b
A number cube is rolled once. What is the probability of rolling a three
Answers
Answer:
1/6
Step-by-step explanation:
A dies has six sides
1,2,3,4,5,6
There is 1 three
P(3) = number of threes/ total numbers
= 1 / 6
What is the product?
Answers
Answer:
15a^5b^15
Step-by-step explanation:
3*5 = 15
when multiplying exponents with the same base, you just add the exponents together. so 2+3 = 5 and 7+8 = 15
Answer:
15a⁵b¹⁵
Step-by-step explanation:
( 3a²b⁷)(5a³b⁸)
remove unnecessary parantheses
3a²b⁷ × 5a³b⁸using exponent rule
15a²+³ × b⁷+⁸calculate the product
15a⁵b¹⁵The size of each exterior angle of a regular polygon is 18 degrees
a) work out how many sides the polygon has
b) work out the sum of the interior angles of the polygon
Answers
Answer:
a, 20 side polygond b, the sum of the interior angles is 162°
For consumers making purchases online, 60% have devices made by Apple, 85% own a smartphone, and 75% use Venmo. Also, out of the smartphone users, 80% use Venmo. Assume that having a device made by Apple and owning a smartphone are independent. A consumer who makes purchases online is selected at random, what is the probability they have an Apple device or own a smartphone (or both)? Enter your answer as a decimal to two places, and include the leading zero. For example, 0.12 would be a valid format.
Answers
Answer:
The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94
Step-by-step explanation:
The percentage of costumers that have a device made by Apple = 60%
The percentage of customers that own a smartphone = 85%
The percentage of customers that use Venmo = 80%
The percentage out of the smartphone users that use Venmo = 80%
The probability both independent events A and B occurring = P(A) × P(B)
The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)
Therefore, the probability of A or B or both occurring is given as follows;
P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)
Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;
P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94
Therefore, the probability that a customer selected at random has an Apple device or own a smartphone (or both), P(A or B or Both) = 0.94
45 – (–32) + (–12) – |–7|
Answers
Answer:
Simplify the expression.
58
Step-by-step explanation:
Work:
45 - (-32) + (-12) - |-7|
45+32-12-7=58