Use the given information to draw a box-and-whisker plot of the data set
Minimum – 28
Maximum – 54
Lower Quartile – 32
Upper Quartile – 40
Answers
Answer:
The box-and-whisker plot of this distribution is presented in the attached image to this solution.
Step-by-step explanation:
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
A box and whiskers plot shows 5 major information about the distribution of data. It shows:
- The maximum variable.
- The minimum variable.
- The Median.
- The first quartile.
- The third quartile.
Further info such as the range and Inter quartile range can then be obtained from this 5-number summary.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
The required boxplot for this question is given in the attached image to this solution.
The median for the boxplot isn't provided, but it was assumed to be midway between the first and third quartile.
Hope this Helps!!!
Related Questions
Simplify the expression.
Write your answer without negative exponents.
Answers
Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]
Step-by-step explanation:
Any negative exponent can be moved to the other side of the fraction as a positive exponent.
Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4. Then, use the exponent rule to get 5a^2/-10a^4b^9
Hope it helps <3
What is the equation of the translated function, g(x), if
f(x)=x²?
O g(x) = (x-4)2 + 6
O g(x) = (x + 6)2 - 4
O g(x) = (x - 6)2 - 4
O g(x) = (x + 4)2 + 6
Answers
Answer:
the answer is (x+6)2-4
The correct equation of the translated function, g(x) is,
⇒ g(x) = (x + 4)² 6
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
here, we have,
Given that:
The function is,
,⇒ f (x) = x²
Here, f(x) has vertex point is (0,0)
and g(x) vertex point is (-4,6)
Hence, The general form of equation with vertex is
⇒ y = a (x - h)² + k
where (h, k) are the vertex.
So, the equation of g(x) form is
⇒ g(x) = (x + 4)² + 6
Therefore, Option D is correct.
Learn more about the function visit:
brainly.com/question/11624077
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Which equations represent the line that is parallel to 2x-7y=9 and passes through the point
(5-3) ? Select two options.
Answers
Answer:
e. 2x - 7y = 31.
Step-by-step explanation:
If you want a line parallel to the equation, the line must have the same slope.
2x - 7y = 9
-7y = -2x + 9
y = 2/7x - 9/7
You are looking for a line where the slope is 2/7.
a. Slope is 7/2.
b. Slope is -7/2.
c. Slope is 7/2.
d. Slope is...
y + 2 = 3/4x + 3
y = 3/4x + 1
Slope is 3/4.
e. Slope is -2/-7, which is 2/7. Just make sure to check whether it passes through (5, -3) by substituting those points into the equation.
2 * 5 - 7 * -3 = 31
10 --21 = 31
10 + 21 = 31
And there's your answer: e.
Hope this helps!
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to the time in hours, x, since the storm started. A graph of the equation is created. Which quadrants of a coordinate grid should be used to display this data? please help.
Answers
Answer:
the first and fourth quadrants
Step-by-step explanation:
We have that the time found hours is given on the x-axis and that the temperature is represented on the y-axis.
Let's first analyze time:
Time cannot be negative, therefore, the x coordinate cannot be negative therefore, for the x axis, we can use the first and fourth quadrants
Second let's analyze the temperature:
The temperature can be negative, therefore, the coordinate and can be positive or negative therefore, that for the y axis, we can use all four quadrants.
If we combine the two previous conditions, we can deduce that we can only use the first and fourth quadrants to represent the required data.
someone help me asap
Answers
Answer:
43.3 m
Step-by-step explanation:
you can use Tangent and calculator or table to find it.
tan ∅ = opp/adj
tan 61° = r/24
1.804 = r/24
r = 1.084 * 24 = 43.297 m
r = 43.3 m
Rectangle divided into four rectangles. The perimeters of rectangle #1, #2, #3, #4 are 10 cm, 20 cm, 28 cm and 18 cm respectively. Find the perimeter of the big rectangle.
Answers
Answer:
Perimeter of big rectangle = 38 units
Step-by-step explanation:
Let the sides of rectangle (1) = a and c cm
Sides of rectangle (2) = b and c cm
Sides of rectangle (3) = b and d cm
Sides of rectangle (4) = a and d cm
Perimeter of (1) = 2(length + width)
2(a + c) = 10
a + c = 5 ---------(1)
Perimeter of (2) = 2(b + c)
2(b + c) = 20
b + c = 10 -------(2)
Perimeter of (3) =2(b + d)
2(b + d) = 28
b + d = 14 --------(3)
Perimeter of (4) = 2(a + d)
2(a + d) = 18
a + d = 9 -------(4)
Since perimeter of the big rectangle = 2(a + b + c + d)
By adding equations (1) + (2) + (3) + (4),
(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9
2(a + b + c + d) = 38
Therefore, perimeter of the rectangle ABCD = 38 units
What is the value of x?
Answers
Answer:
The answer is option C.
Step-by-step explanation:
Angles in a triangle add up to 180°
To find x add up all the angles in the triangle and subtract it from 180°
Thus
x + 95 + 57 = 180
x = 180 - 152
x = 28°
Hope this helps
in an abc triangle, the hypotenuse is 10 and the other sides are x, the measurement of angle B is 90 deg, what is the value of x
Answers
Answer:
x = [tex]5\sqrt{2}[/tex].
Step-by-step explanation:
The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.
Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).
Since the hypotenuse is 10, and the side length is x, we can make a proportion.
[tex]\frac{10}{\sqrt{2}} =\frac{x}{1}[/tex]
[tex]x\sqrt{2}[/tex] = 10
x = [tex]\frac{10}{\sqrt{2} }[/tex]
x = [tex]\frac{10 * (\sqrt{2} )}{(\sqrt{2})(\sqrt{2} ) }[/tex]
x = [tex]\frac{10\sqrt{2} }{2}[/tex]
x = [tex]5\sqrt{2}[/tex]
Hope this helps!
help me please :( ill give u brainnlyyyyyyy :DDD
Answers
Answer:
180 grams
Step-by-step explanation:
2 people = 5 ounces
6 people= 5*3= 15 ounces
1 ounce= 28 grams
15 ounces= 15*28 grams= 420 grams
There is 240 grams already on the weight, so
420- 240= 180 grams more of diced onions are required
what are the roots of the polynomial equation x⁴+x³=4x²+4x? use the graphing calculator and a system of equations.
-2,-1,0,2
-2,0,1,2
-1,0
0,1
Answers
Answer: A
Step-by-step explanation:
Determine if the equation defines y as a function of x: y2 = x2. yes or no
Answers
Answer:
no it's not, since y has two functions , a positive and negative in terms of x.
what is the fraction of 80/100=
Answers
Answer:
[tex] \frac{80}{100} = \frac{4}{5} [/tex]
80
——
100
What is the highest multiple that can go into both numbers, is it 10? 15? 20?
Lets try 20
80/20 = 4
100/20 = 5
4/5
6y + 3 + (2y + 3) = please help me
Answers
Answer:
y = -3/4
Step-by-step explanation:
1. Simplify all terms - 8y + 6 = ?
2. Set to two sides - 8y = -6
3. Solve - y = -6/8 = -3/4
Hope this helps:)
Here are 4 fractions labelled A,B,C,D. A is 3/4 B is 5/6 C=16/25 D=9/15 Using the label A,B,C,D, Write the fractions in order of size starting with the smallest fraction
Answers
Answer:
Starting with the smallest, we will have; D , C, A, B
Step-by-step explanation:
Given;
A = 3/4
B = 5/6
C = 16/25
D = 9/15
Convert the fractions to decimal, to determine their sizes;
A = 3/4 = 0.75
B = 5/6 = 0.833
C = 16/25 = 0.64
D = 9/15 = 0.6
From the decimal form of the fractions, it be observed that,
B > A > C > D
Starting with the smallest, we will have; D , C, A, B
On a coordinate plane, 2 lines are shown. Line M N goes through (negative 4, 8) and (negative 4, negative 6). Line K L goes through (negative 8, 2) and (6, 2). How are lines KL and MN related?
Answers
Answer:
Perpendicular lines
Step-by-step explanation:
MN: (-4, 8) and (-4, -6), This line parallel to y-axis as as x-value doesn't change
KL: (-8, 2) and (6, 2), This line is parallel to x-axis as y-value doesn't change
The given lines are perpendicular as one is parallel to x, another one is parallel to y
Work out the equation of a line which has a gradient of 2 and passes through the point (1,4) plssss help me
Answers
Answer:
The equation of the line is
y = 2x + 2
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the gradient
c is the y intercept
From the question m is 2
Equation of the line using point (1,4) is
y - 4 = 2( x - 1)
y - 4 = 2x - 2
y = 2x - 2 + 4
y = 2x + 2
Hope this helps you
PLZ HELP ME PLZZZ I NEED HELP
Answers
Answer:
y = 40.5 cm
Step-by-step explanation:
The total area of the shape is 792 cm²
let's find the area of the four parallelograms
To do that we should calculate the area of the rhombus inside and then substract it from the total area
The area of a rhombus is given by the formula:
A = [tex]\frac{d*d'}{2}[/tex] where d and d' are the diametersLet A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms
A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex] A" = 729 cm²Let a be the area of the single parallelogram
a = A"/4 since the parallelograms are congruent a = 729/4 a = 182.25 cm²the area of a parallelogram is fiven by the formula :
A = b*h b is the base (here y/2) and h the height (here 18/9)let's find y
a = [tex]\frac{y}{2}[/tex] * 9182.25*2 = y*9 364.5 = y*9 y = 364.5/9 y = 40.51. Which of the following equations has a solution of x = -5? Equation A------> 16x-7=11x-32 Equation B------> -4x- 10=2x+20 a. Equation A b. Equation B c. Both A and B d. Neither A nor B
Answers
Answer:
C
Step-by-step explanation:
Equation A
16x - 7 = 11x - 32
(16x - 7) - 11x = (11x - 32) -11x
5x - 7 = -32
(5x - 7) + 7 = (-32) + 7
5x = -25
(5x)/5 = (-25)/5
x = -5
Equation B
-4x - 10 = 2x + 20
(-4x - 10) - 2x = (2x + 20) - 2x
-6x - 10 = 20
(-6x - 10) + 10 = (20) + 10
-6x = 30
(-6x)/-6 = (30)/-6
x = -5
Both Equation A and Equation B have a solution of -5.
3. A un hombre le pagan doble el tiempo que trabaja por encima de las 40 horas. La
pasada semana, él trabajó 47 horas y recibió un cheque de $648.00. ¿Cuál es su
salario regular por hora?
Answers
Answer: Su salario regular por hora es $12
Step-by-step explanation:
Hola, para resolver este problema debemos plantear una ecuación:
A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.
Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.
Matemáticamente hablando:
40 x+ 7 (2x) = 648
Resolviendo para x (salario regular por hora)
40x +14x =648
54x =648
x = 648/54
x = 12
If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area
Answers
Answer:
[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]
Step-by-step explanation:
The formula of a Surface Area of a rectangular prisms:
[tex]SA=2(lw+lh+wh)[/tex]
l - length
w - width
h - height
We have:
[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]
Substitute:
[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]
For every 10 minutes that Tia plays on the computer, she plays outside
for 19 minutes. What is the ratio of minutes Tia plays on the computer
to minutes she plays outside?
Answers
Answer: 10:19
Step-by-step explanation:
Time she plays on computer = 10 minutes
Time she plays outside = 19
Ratio will be 10:19
(Help Please It would be greatly appreciated) Which of these are true statements about the sine function? Choose all that are correct.
Answers
Answer:
A is wrong
B is correct
C is correct
D is wrong
E is wrong
F is correct
Step-by-step explanation:
Here, we want to select the correct options about the sine function.
A. is wrong
Let’s use a case of 30 degrees angle
Sin(-30) = -0.5
Sin(30) = 0.5
B is correct
sin(-30) = -0.5
-sin(30) = -0.5
C. C is correct
Sine function is an odd function.
By mathematical definition, we say a function is odd if for any value x of the function; f(-x) = -f(x)
This is obtainable and clear about the sine function from earlier options
D. Is wrong
E. is wrong
F. is correct
The period of the sine function is 2 pi
The period of a function is the time distance between two peaks or crests
PLEASE HELP ASAP! IT'S EASY WORD PROBLEM!!!!!!!! My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?
Answers
Answer:
t = 2,22 h
Step-by-step explanation:
At the beginning with the first processor, we download in 5 hours the whole movie, then in 1 hour, that processor downloads 1/5 of the movie.
If with the two processors we download the movie in 4 hours in 1 hour we download 1/4 of the movie.
In 1 hour with the two processors, we get 1/4, and in 1 hour with the old processor we get 1/5
Then in 1-hour the old processor plus contribution of the new one will download 1/4 of the movie or
1/5 + x = 1/4
x = 1/4 - 1/5
x(h) = 5 + 4 /20 x = 9/20 or 0,45 of the movie in 1 hour
Working along the new processor will do 0,45 ( 9/20) in 1 hour, to finish the whole movie it will need to download 11/20
If in 1 hour download 9/20
x 11/20
x(r) = (11/20) / (9/20) = 11/9 x(r) = 1,22 (h)
Then total time for the new processor to download the movie is:
t = 1,22 + 1
t = 2,22 h
help me is due today. I will give brainliest if you answer first and if it is correct;)
Answers
Answer:
a) is correct3n + 5
1. Substitute the numbers
3(5) + 5 = 15 + 5 = 20
2. Substitute the second number
3(6) + 5 = 18 + 5 = 23
b) Numbers are 8 and 16.This is because I realized I got the number of 4 last because I did 1*2 = 2.
Then I did 2*2 = 4.
So you have to multiply by two to get the next number. Or you can put it to the 4th or 5th exponent of 2.
1. 1
2. 1*2 = 2
3. 2*2 = 4
4. 4*2 = 85. 8*2 = 16The shape of a ball is circle true or false
Answers
Answer:
False
Step-by-step explanation:
A ball is a three dimensional object and it is spherical in shape.
Answer:
A ball is spherical
it's shaped like a sphere
Timothy has a fenced-in garden in the shape of a rhombus. The length of the longer diagonal is 24 feet, and the length of the shorter diagonal is 18 feet. A rhombus is shown. Diagonals are drawn from each point to the opposite point and intersect at a point in the middle. The distance from the top point to the middle point is 12 feet. The distance from the right point to the middle point is 9 feet. What is the length of one side of the fenced-in garden? 12 ft 15 ft 21 ft 108 ft
Answers
Answer: b) 15 ft
Step-by-step explanation:
The diagonals intersect at a right angle (one of the properties of a rhombus).
Use Pythagorean Theorem to find the length of the side.
9² + 12² = c²
81 + 144 = c²
225 = c²
15 = c
Answer:
i got b!
Step-by-step explanation:
15 feet (:
Help!! Question on probability. Wi give brainliest!!
Melody randomly selected two apples without replacing the first apple from the crate containing 10 granny Smith apples, 14 Red delicious apples, four golden delicious apples, and 18 Braeburn apples. What is the probability that Melody selected a golden delicious apple first and a granny Smith apple second?
Answers
Answer:
[tex]P = \frac{5}{282} = 0.0177[/tex]
Step-by-step explanation:
First we need to find the total amount of apples in the crate:
Total = 10 + 14 + 4 + 18 = 46 apples
The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:
[tex]P(golden) = \frac{N(golden)}{N(total)}[/tex]
[tex]P(golden) = \frac{4}{48} = \frac{1}{12}[/tex]
Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:
[tex]P(granny) = \frac{N(granny)}{N(total)-1}[/tex]
[tex]P(granny) = \frac{10}{47}[/tex]
The final probability we want is the product of those two probabilities:
[tex]P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177[/tex]
the area of a triangle 17.5 square meters. The height of the triangle is 3 meters less than twice it’s base. the base of the triangle is x meters
Answers
Answer :
Given that the base of the triangle is x m, the height is 3m less than twice it's base then the height will be represented by the equation:
(2x-3) m
Thus the area will be:
Area=1/2bh
Area=1/2x(2x-3)=17.5
x^2-1.5x=17.5
Writing the above equation is quadratic form of ax^2+bx+c=0 we get:
x^2-1.5x-17.5=0
A student is deriving the quadratic formula. Her first two steps are shown.
Step 1: –c = ax2 + bx
Step 2:
Which best explains or justifies Step 2?
division property of equality
factoring the binomial
completing the square
subtraction property of equality
Answers
Answer:
b
Step-by-step explanation:
i got it right
Answer: b
Step-by-step explanation:
its correct
Which expression is equal to the expression below?
(7•2)7
Answers
Answer:
C. 7⁷ × 2⁷
Step-by-step explanation:
The exponent is outside of the brackets, so we distribute the exponent to all the terms inside the brackets.
(7 × 2)⁷
7⁷ × 2⁷
Answer:
c. [tex]7^7[/tex]· [tex]2^7[/tex]
Step-by-step explanation:
please mark me brainliest!