Hattie drew a box plot of annual rainfall in some cities in the world. Select all the statements that are true about the data in the box plot.
Answers
Rainfall anually table data
Then
Option A)
Half of the data are between 6 and 18
TRUE , because there are 8/2 = 4 data in the box plot
Option B)
Data point 27 ,could be an outlier
FALSE, because 27 is a black point. It means it belongs, is not out
Option C)
More points between 6,9 that between 9,18
FALSe,. Area between 6,9. Is smaller than area between 9,18
Option D)
Data are less spread out to the left
TRUE, because box plot is ubicated at left
Option E)
Only one data point is less than 6
TRUE, is data point 3
Related Questions
Given that angle ABC and EBF form a right angle, if measurement of ABC = 5x° and EBF = 4x° what is the
value of x?
Answers
Answer:
10
Step-by-step explanation:
Right angles add up to 90
5x + 4x = 90
9x = 90 Divide both sides by 9
x = 10
HELPO PLSS
16. A snack mix contains toasted oat cereal,
pretzels, and nuts in a ratio of 2:2:1 by
mass. What mass of each ingredient is
needed to make the following amounts of
snack mix?
a) 330 g
b) 210 g
c) 500 g
d) 750
Answers
Answer:
a) 132 g oat cereal, 132 g pretzels, 66 g nuts
b) 84 g oat cereal, 84 g pretzels, 42 g nuts
c) 200 g oat cereal, 200 g pretzels, 100 g nuts
d) 300 g oat cereal, 300 g pretzels, 150 g nuts
Step-by-step explanation:
a) 330 = 5x
x=66
132 oat cereal
132 pretzels
66 nuts
(And repeat for all masses)
:] Tell me if this is incorrect!
(Brainliest would help a lot lol)
What is the midpoint between (-3,-2) and (4-7)
Answers
The midpoint between the given figures are -2.5 and 5.5 respectively.
What is a midpoint ?A midpoint is defined as that particular point that divides two separate figures into two equal halves or the centre of two endpoints on a number line.
That is;
point a + point b/2
The figures given are :
Point a = -3
Point b = -2
= -3 + -2/ 2
= -5/2
= -2.5
For points 4 and 7 ;
= 4 + 7 / 2
= 11/2
= 5.5
Therefore, the middle or midpoint of -3 and -2 is -2.5 and the midpoint for 4 and 7 is 5.5.
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The vertices of △ABC are A(2, −3), B(−3, −5), and C(4, 1). If (x,y)--> (x+4, y+6), give the vertices of △A′B′C′.
PLEASE HELPPPP
Answers
Answer:
A' = (6, 3)
B' = (1, 1)
C' = (8, 7)
Step-by-step explanation:
Vertices of triangle ABC:
A = (2, -3)B = (-3, -5)C = (4, 1)Given mapping rule:
(x, y) → (x + 4, y + 6)
This notation tells you that the x-coordinate is translated 4 units to the right, and the y-coordinate is translated 6 units up.
Substitute the coordinates of each point into the mapping rule to find the vertices of triangle A'B'C':
⇒ A' = (2 + 4, -3 + 6) = (6, 3)
⇒ B' = (-3 + 4, -5 + 6) = (1, 1)
⇒ C' = (4 + 4, 1 + 6) = (8, 7)
Find the measure of
Answers
Answer:
50 degrees
Step-by-step explanation:
Line CDF is 180 degrees
76 and 54 and some part of the 180 degrees
1. add 76+54 = 130
2. subtract 180-130 = 50
when writing a repeating decimal as a fraction why does the fraction always have only 9’s or 9’s and 0’s as digits in the denominator
Answers
When writing a repeating decimal as fraction , the fraction do not always have only 9’s or 9’s and 0’s as digits in the denominator .
Repeating Decimal is a decimal in which after certain point a particular digit or sequence of digit repeats itself infinitely .
For Example : 0.66666666...
When in a fraction the numerator is divided by the denominator , it is not at all necessary that the denominator will always have 9’s or 9’s and 0’s .
We can understand more with the help of an example .
example : 1/3 = 0.3333... is a repeating decimal , which does not have a 9 , 0 in the denominator .
(ii) 5/3 = 1.666666.... is a repeating decimal , which does not have a 9 , 0 in the denominator .
Therefore , When writing a repeating decimal as fraction , the fraction do not always have only 9’s or 9’s and 0’s as digits in the denominator .
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A wise man once said, "300 reduced by 3 times my age is 84." What is his age?
Answers
Answer:
his age would be 72.
300-84=216
216÷3 is 72
Don’t get how to do this
Answers
Answer:
1. 1.4, 1 5/8, 12/5, 8/8
2. 0.88
3. 1/4 and 8/8
4. 12/5 and 2/100
5. 1 5/8 and 1.625
6. 1 1/2
2) 0.88
3A) 1/4
3B) 8/8
4A)12/5
4B) 2/100
5A) 12/5
5B) 2.4
6A) 1 4/10
6B) 1 2/5
When the summer started, Janie needed to fill her empty pool. At first, she used a garden hose to fill the pool, but this was taking too long. She got tired of watching the pool fill so slowly, so she turned off the water and went for a walk. She spotted a truck in the neighborhood that was filling pools and flagged them down to come fill her pool too. They were able to fill the pool at a faster rate. Which graph best represents this situation?
Answers
The statement mentions that the pool started empty, which implies that the graph must start at the point (0,0).
Then, the pool slowly filled, so the amount of water in the pool remained constant when Janie turned off the water and went for a walk.
Finally, thanks to a truck in the neighborhood the pool filled up quickly, and when it was filled the amount of water remained constant.
Therefore, the graph that best represents this situation is the one shown in option B.
the measure of the angles of a triangle are shown in the figure below. solve for x
64°
x°
40°
Answers
Answer:
Sum of angles in a triangle add up to 180°.
x = 180 - 64 - 40
= 76°
Dilate the figure by the scale factor. Then enter
the new coordinates.
C(-1, 1)
B(1, -2)
A(3, 3)
K=9
A'([?], [])
B'([],[])
C'([],[_])
Answers
Answer: b (-1,1)
Step-by-step explanation:
PLEASE HELP! This is due tomorrow!
Determine whether the equation represents a linear or nonlinear function. Explain.
I just need help with these, I have a busy day today :(
Answers
The categories of the functions are:
Linear functions: (16) y = 7 - x (17) y = ∛8 - x (19) 2 + y = x + 4 (21) x -y = |-54|Nonlinear functions: (15) y = x² + 13 (18) y = x . x . x (20) 7 - y = 2ˣ (22) |x| + 12 = yHow to categorize the functions?The category of the functions are given as
Linear functionsNonlinear functionsAs a general rule, linear functions can take any of the following forms
y = a x = by = xy = mxy = mx + cy - y1 = m(x - x1)Ax + Bx = CWhere the variables a, A, m, b, B, c and C are real numbers
Any equation that do not have the above form is considered a nonlinear function
Using the above forms as a guide, we have the linear equations to be
(16) y = 7 - x (17) y = ∛8 - x (19) 2 + y = x + 4 (21) x -y = |-54|
All other equations are nonlinear equations
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PLEASE HELP ASAP!!
The table describes the quadratic function h(x).
x h(x)
−3 −2
−2 −3
−1 −2
0 1
1 6
2 13
3 22
What is the equation of h(x) in vertex form?
h(x) = (x + 2)2 − 3
h(x) = (x + 1)2 − 2
h(x) = (x − 1)2 + 2
h(x) = (x − 2)2 + 3
Answers
The quadratic function of h (x) in vertex form will be as h(x) = (x + 2)² − 3
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given that the values of x and h (x) for the quadratic function is given by;
x = -3, -2, -1, 0, 1, 2, 3,
h (x) = -2, -3, -2, 1, 6, 13, 22
Consider the quadratic function as;
h (x) = ax² + bx + c
Now Substitute x = -3 and h (x) = -2 in quadratic function we get;
h (x) = ax² + bx + c
- 2 = a × (-3)² + b × -3 + c
- 2 = 9a - 3b + c
And, Plug x = -2 and h (x) = -3 in function we get;
h (x) = ax² + bx + c
- 3 = a × (-2)² + b × -2 + c
- 3 = 4a - 2b + c
And, plug x = -1 and h (x) = -2 in function we get;
h (x) = ax² + bx + c
- 2 = a × (-1)² + b × -1 + c
- 2 = a - b + c
After solving we get:
a = 1 , b = 4 and c = 1
Then
h (x) = ax² + bx + c
h (x) = 1 × x² + 4x + 1
h (x) = x² + 4x + 1
h (x) = x² + 4x + 4 - 4 + 1
h (x) = (x + 2)² - 3
Hence, The quadratic function of h (x) in vertex form will be as h(x) = (x + 2)² − 3
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What is x and y and how do I solve for it in the future?
Answers
The values of x and y in the triangle are 15 and 88 degrees.
How to find the angles of a triangle?A triangle is a polygon with 3 sides. The sum of angles in a triangle is 180 degrees.
A triangle can be classified base on its sides and angles as equilateral triangle, isosceles triangle and scalene triangles.
An equilateral triangle has three of its sides and angles equal to each other.
An isosceles triangle has 2 sides and angles equal to each other.
A scalene triangle has no sides equal to each other.
Therefore,
The other triangle on the left side is an equilateral triangle.
Therefore, all it sides and angles are equal.
Hence, each angle of the triangle is 60 degrees.
A traversal line cut across the sides of the parallel lines of the triangles formed.
Therefore,
60° = 4x
x = 60 / 4
x = 15
Therefore,
60 + y + 32 = 180(sum of angles in a triangle)
y = 180 - 92
y = 88°
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Find the value of each variable
Answers
Answer:
Step-by-step explanation:
since they are verticle angles:
8x+7=9x-4
subtract 8x and add 4
x=11
Your equation since they are vertical angles, they are equal to each other
8x + 7 = 9x - 4
Subtract 9x from both sides to combine variable
8x -9x +7 = 9x - 9x -4
Combine
-1x +7 = -4
Subtract 7 from both sides to solve for x
-x +7 -7 = -4 -7
Combine
-x = -11
x = 11
Substitute 11 for x in your angle expressions
8x + 7 = 9x - 4
8(11) + 7 = 9(11) - 4
88 + 7 = 99 - 4
95 = 95
They equal so it checks true
Problem solved
if f(x)=2x+a what is the value of A satasfying f(2)=2
Answers
Answer:
-2
Step-by-step explanation:
Substitute x with 2 and y with 2
2 = 2 * 2 + a
2 = 4 + a
subtract 4 on both sides
2 = 4 + a
-4 -4
-2 = a
if tan 1/3 and cos is less than 0 was in the sin of x
Answers
Answer:
[tex] \frac{1}{ \sqrt{10} } [/tex]
Cost of 100 grams. Cereal=49p
Pasta=14p
Leah buys 400 grams of cereal and 250 grams of pasta.
Work out the total cost in £
Answers
100 grams of cereal= 49p
49p x 4 = 196 p
If 100grams of cereal equals to 49p then 400 grams is 196p ( 49p x 4)
If 100 grams of pasta = 14 p
then 500 grams of pasta = 700p
But we want to find 250 grams of pasta ……500grams /2 = 250grams so 700p /2= 350p which is the cost of 250 grams of pasta
The total cost = cost of the 400 grams of cereal + cost of the 250 grams of pasta
196p + 350p = 546p is the total BUT we want the answer in pounds so we divide 546p by 100 = £5.46
The total cost is £5.46
Jordan and his children went into a restaurant and he bought $26 worth of drinks
and tacos. Each drink costs $2.50 and each taco costs $2. He bought 4 more tacos
than drinks. Write a system of equations that could be used to determine the number
of drinks and the number of tacos that Jordan bought.
Answers
The system of equations that could be used to determine the number of drinks and the number of tacos that Jordan bought are 2.5x + 2y = 26 and y = x + 4.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's assume that number of drinks that Jordan and his children bought is x while the number of tacos is y.
The cost of drinks = 2.50x
Cost of tacos = 2y
Total cost 2.5x + 2y
2.5x + 2y = 26
Given that,
He bought 4 more tacos than drinks.
Therefore,
y = x + 4.
Hence "The system of equations that could be used to determine the number of drinks and the number of tacos that Jordan bought are 2.5x + 2y = 26 and y = x + 4".
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Find the midpoint of CD
C=(1,9) and D=(7,-7)
Answers
Answer:
(4, 1 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = C (1, 9 ) and (x₂, y₂ ) = D (7, - 7 ) , then
midpoint = ( [tex]\frac{1+7}{2}[/tex] , [tex]\frac{9-7}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex] , [tex]\frac{2}{2}[/tex] ) = (4, 1 )
The Mendez Family consists of two adults and two children. Their current monthly income is $4800. Calculate the percentage of the total budget for each category.
Answers
Percentage spent on transportation is 12%
Percentage spent on Property tax is 11%
Percentage spent on utilities is 9%
Percentage spent on food is 20%
Percentage spent on mortgage payment is 30%
Percentage spent on entertainment is 8%
Percentage spent on miscellaneous is 10%
What are the percentages?
Percentage is the fraction of a number expressed as a number out of 100. In order to convert a number of fraction to percentage, multiiply by 100. The sign that is used to represent percentage is %.
Percentage spent on transportation = (576 / 4800) x 100 = 12%
Percentage spent on Property tax = (528 / 4800) x 100 = 11%
Percentage spent on utilities = (432 / 4800) x 100 = 9%
Percentage spent on food = (960 / 4800) x 100 = 20%
Percentage spent on mortgage payment = (1440 / 4800) x 100 = 30%
Percentage spent on entertainment = (384 / 4800) x 100 = 8%
Percentage spent on miscellaneous = (480 / 4800) x 100 = 10%
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kx = wv + yx solve for x also please dont change letters around it confuses me
Answers
Answer:
[tex]x=\frac{vw}{k-y}[/tex]
Step-by-step explanation:
on average, 12 customers use the bank's atm during the noon lunch hour. what is the probability that exactly 10 customers will use the atm during the next noon lunch hour? assume the poisson distribution applies.
Answers
The probability that exactly 10 customers will use the atm during the next noon lunch hour is 0.0948
How to determine the probability the number of customers is 10From the question, we have the following parameters:
Average number of customers = 12
Number of customers = 10
The above parameters means that:
x = 10
λ = 12
The probability of a Poisson distribution is represented as
P(x) = λˣe⁻λ/x!
This gives
P(x = 12) = 10¹² * e⁻¹⁰/12!
Evaluate
P(x = 12) = 10¹² * e⁻¹⁰/479001600
Solving further, we have
P(x = 12) = 0.0948
Hence, the probability is 0.0948
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The Smiths have decided to put a paved walkway of uniform width around their swimming pool. The pool is a rectangular pool that measures 12 feet by 20 feet. The area of the walkway will be 60 square feet. Find the width of the walkway.
***NOTE*** This is a Quadratic Word Problem, so please the Quadratic Method!! Extra 20 BRAINLIST will be reward if work is shown step by step CORRECTLY!!
Answers
Answer:
Step-by-step explanation:
12 times 2 =24 60 into 10 so i think it will be 6
What values of u and v make △QRS≅△IKJ?
Answers
The values of u and v that makes △QRS and △IKJ congruent triangles are u = 7 and v = 3
How to determine the values of u and v?The triangles are given as
△QRS and △IKJ
The statement △QRS≅△IKJ means that
The triangles △QRS and △IKJ are congruent triangles
This means that the corresponding sides are congruent
So, we have the following equations:
v + u + 15 = 10u - 15v
-4u + 2v + 99 = 7v + 8u
Evaluate the like terms
So, we have
9u - 16v = 15
12u + 5v = 99
Make u the subject in 12u + 5v = 99
So, we have
u = (-5v + 99)/12
Substitute u = (-5v + 99)/12 in 9u - 16v = 15
9(-5v + 99)/12 - 16v = 15
So, we have
9(-5v + 99) - 192v = 180
Open brackets
-45v + 891 - 192v = 180
Evaluate the like terms
-237v = -711
Divide by -237
v = 3
Substitute v = 3 in u = (-5v + 99)/12
u = (-5 x 3 + 99)/12
Evaluate
u = 7
Hence, the values are u = 7 and v = 3
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Enter a term in the box to make an equation that has infinitely many solutions.
3x+______= 3x+14-6
Answers
Answer:
3x+6-14
Step-by-step explanation:
The vertices of Triangle FGH are F(-4, -5), G(-3, -2), and H(-1, -3). What are F’G’H’ for a dilation by scale factor of 1/2?
Answers
The coordinates of the triangle FGH after dilating by 1/2 is F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)
How to determine the coordinates of FGH after the dilation?From the question, the given parameters are the vertices of Triangle FGH
The vertices are represented as
F(-4, -5), G(-3, -2), and H(-1, -3).
Also, from the question, we have
The scale factor of dilation is
k = 1/2
The above implies that
k represents the scale factor of dilation
The coordinates after the dilation is calculated as
Image of dilation = Vertices of the triangle x Scale factor
Substitute the known values in the above equation
So, we have
Image of dilation = [F(-4, -5), G(-3, -2), and H(-1, -3)] x 1/2
Evaluate the products
So, we have
Image of dilation = F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)
Hence, the image after the dilation is F'(-2, -5/2), G'(-3/2, -1), and H'(-1/2, -3/2)
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help please its urgent
Answers
Answer:
Option 1. This is a vertical pair of angles because they are two nonadjacent (not next to each other) angles formed by intersecting lines. The sides of one angle are the opposite rays to the sides of the other angle. (Angle 5=Angle 7)
Option 2 and 4 are wrong as the angles are not created by a set of parallel lines and a transversal.
Option 3 is wrong as the angles are not adjacent.
Option 5 is wrong as the angles do not have a sum of 90°.
Assume that a sample is used to estimate a population mean μ . Find the 99% confidence interval for a sample of size 891 with a mean of 20.8 and a standard deviation of 17.6. Enter your answer as a tri-linear inequality accurate to 3 decimal places.19.281Incorrect < μ < 22.319
Answers
Solution:
The confidence interval is expressed as
where
[tex]\begin{gathered} \bar{x}\text{ or }\mu\Rightarrow sample\text{ mean} \\ z\Rightarrow confidence\text{ level value} \\ s\Rightarrow sample\text{ standard deviation} \\ n\Rightarrow sample\text{ size} \end{gathered}[/tex]Given a 99% confidence interval for a sample size of 891 with a mean of 20.8 and a standard deviation of 17.6, this implies that
[tex]\begin{gathered} \bar{x}=20.8 \\ s=17.6 \\ n=891 \\ z=2.576 \end{gathered}[/tex]By substituting these values into the above equation, we have
[tex]\begin{gathered} CI=20.8\pm(2.576\times\frac{17.6}{\sqrt{891}}) \\ =20.8\pm1.518866748 \\ Thus,\text{ } \\ \Rightarrow lower\text{ bound:} \\ 20.8-1.518866748=19.28113325 \\ \Rightarrow upper\text{ bound:} \\ 20.8+1.518866748=22.31886675 \end{gathered}[/tex]Hence, we have
[tex]19.281<\mu<22.319[/tex]The table shows the votes of 900 people in the last elections.
Political
Party
Labour
Conservative
Lib Democrat
Other
Frequency
345
480
60
15
Angle in
Complete the table and draw a pie chart
to represent this information.
Note: Please draw your pie chart in a 'clockwise' direction from the line already drawn
and follow the order from the table (Labour, then Conservative etc...).
Answers
The angle of labour, Conservative Lib Democrat Other is 138, 192, 24 and 6 degree respectively.
The table shows the votes of 900 people in the last elections.
Political Party Frequency Angle in
Labour 345
Conservative 480
Lib Democrat 60
Other 15
345 + 480 + 60 + 15 = 900
The total angle in a pie chart is 360
The angle for labour is = 360 (345 / 900) = 138 degree
The angle for Conservative is = 360 (480 / 900) = 192 degree
The angle for Lib democrate is = 360 (60 / 900) = 24 degree
The angle for others is = 360 (15 / 900) = 6 degree
Therefore, the angle of labour, Conservative Lib Democrat Other is 138, 192, 24 and 6 degree respectively.
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