Answer:
The IQR is a better measure of spread for dance competitions than for badminton games.
Step-by-step explanation:
I understand from "Dance Competition box plot has interquartile ranges approximately between 60 and 130" that quartile 1 is at 60 and quartile 3 is at 130, then, the interquartile range (IQR) is 130 - 60 = 70.
Similarly, from Badminton box plot, quartile 1 is at 90 and quartile 3 is at 150, then, the interquartile range is 150 - 90 = 60.
IQR is a measure of statistical dispersion, that is, as IQR increase, spread increase.
The statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.
Recall:
Interquartile range (IQR) is the difference between the first quartile and the third quartile.From a box plot, the first quartile and the third quartile can be found at both ends of the rectangular box, which can be used to determine the IQR of a data set.IQR is a measure of spread.Since the data is plotted on a box plot, IQR can easily be gotten which is a measure of spread.
Therefore, the statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.
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Zack, Jack and Sasha earned £250 altogether delivering leaflets.
Zack delivered 50%.
Jack delivered 30%.
Sasha delivered 20%.
They are each paid according to the number of leaflets they delivered.
How much did each person earn?
Answer:
Zack earned £125, Jack earned £75, and Sasha earned £50
Step-by-step explanation:
Considering the number of leaflets delivered
Zack 50%, Jack 30% and Sasha 20%
Total delivered = 50 + 30 + 20 = 100%
If they earn £250 on the 100% delivery, then each will have as shown below
Zack = (50/100)*250
= 5*25
= £125
Jack = (30/100)*250
= 3*25
= £75
Sasha = (20/100)*250
=2*25
= £50
Answer:
£125, £75 and £50
Step-by-step explanation:
Zack delivered 50%
Therefore, Zack earned
50% of £250
50/100 x £250
0.5 x 250
£125
Zack earned £125
Jack delivered 30%, therefore
Jack earned
30% of £250
0.3 x £250
£75
Jack earned £75
Sasha delivered 20%
Therefore, Sasha earned 20% of £250
20/100 x £250
0.2 x £250
£50
Sasha earned £50
Zack + jack + Sasha = £250
£125 + £75 + £50 = £250
What’s the answer???
Which expression is equivalent to 30x + 15y?
a)45xy
b)xy+45
c)15(2x+y)
d)15xy(2x+y)
Answer:
C
Step-by-step explanation:
because 15*2x=30x and 15*y= 15y and since they are adding in the parentises you add again 30x*15y
How does the sign of a affect the domain and range of ()=?f of , open x close . equals eh , x squared , question mark
Answer:
(See explanation for further details).
Step-by-step explanation:
The sign does not affect the domain, as second-order polynomials are continuous functions. Nonetheless, the sign affect the range of function in the sense that elements can be lesser and equal to zero (a < 0) or greater and equal to zero (a > 0).
The sign of 'a' in the function f(x) = ax2 affects the direction the parabola opens, influencing the range of the function, either [0, ∞) for a positive 'a' or (-∞, 0] for a negative 'a'. The domain, which is always (-∞, ∞), isn't affected by 'a's sign.
Explanation:In mathematics, the function f(x) = ax2 is a quadratic function where 'a' is the coefficient of x2. The sign of 'a' determines whether the parabola opens upward or downward. When 'a' is positive, the parabola opens upward hence making the range of the function [0, ∞) because the lowest point (vertex) is on the x-axis and it extends to positive infinity. If 'a' is negative, the parabola opens downward, and the range becomes (-∞, 0] as the highest point is on the x-axis and it extends to negative infinity.
The domain of f(x) = ax2 does not depend on the 'a' value; it is always all real numbers because x can be any real number regardless of the value of 'a'. Therefore, the domain is always (-∞, ∞).
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A________ is an expression that is a number, variable, or product of a number and variations such as -3y, 4x, or 5xy^2
A. Factor
B. Like term
C. Monomial
D. Product
Answer:
monomial
Step-by-step explanation:
an angle measure of 55.45 is converted to DMS notation as
Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds
Step-by-step explanation:
We need to convert angle measure of 55.45 to DMS notation
DMS notation is Degree Minute and seconds
Solving:
We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.
We can write it as 55 and 0.45
So, we have 55 degrees
To find minutes we will multiply 0.45 by 60
0.45*60 = 27 minutes
Since we have no decimal value in minutes so seconds will be 0
So, DMS will be 55 degrees 27 minutes 0 seconds
Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds
Plz I need help I don’t want to fail if u know it plz answer thx
Answer:
13
Step-by-step explanation:
5+4+3+1=13
we got that from the sum of the number of runners in the different mile distances for the runners.
Answer:
The mileage was recorded for 13 runners.
Maria had a package of crackers after she ate 8 of the crackers there were 14 crackers left in the package which equation can be used to fund the number of crackers that were in the package before Maria are the crackers?
A 8-c=14
B c-8=14
C 8/c=14
D c/8=14
Please pick the best answer
Answer:
B, because you would subtract the total from what she ate it will equal what she has left and since c represents the total then you would have the equation c-8=14.
Step-by-step explanation:
Use the diagram of triangle XYZ to answer the questions.
What is the length of side XY?
What is the value of sin(X)?
What is the value of cos(X)?
What is the value of tan(X)?
The length of side XY in the triangle is 10 units
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
a) Using Pythagoras theorem:
XY² = 8² + 6²
XY = 10
b) sin(X) = 8/10
c) cos(X) = 6/10
d) tanX = 8/6
The length of side XY in the triangle is 10 units
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Kim works at a cake shop. She is able to make an average of 2.0 cakes an hour. Her workday is 8.5 hours. How many cakes does Kim make on an average day?
Answer:
Kim can make 4 cakes.
Step-by-step explanation:
since you can't sell half a cake and it takes 2 hours for her to make a cake she can only make 4 cakes on an average day. hope this helps good luck in the future
need help!!!!!!!!!!1
Answer:
-2 5/9
Step-by-step explanation:
-5/9 - 4/3 - 2/3 =
-5/9 - 2 =
-2 5/9
Frannie put 1/3 of her music collection on an mp3 player. While on vacation, she listened to 1 /2 of the music on the player. How much of Frannie's music collection did she listen to while on vacation? Choose the correct values to describe how to solve the problem.
Answer:
the solution to the problem is that Frannie listened to 1/6 of her entire music collection while on vacation.
Step-by-step explanation:
Fraction of the music collection on the MP3 player: 1/3
Fraction of the music on the MP3 player listened to: 1/2
Fraction of the entire music collection listened to: 1/6
Frannie listened to [tex]\(\frac{1}{6}\)[/tex] of her music collection while on vacation.
To solve this problem, we need to calculate the fraction of Frannie's total music collection that she listened to on vacation.
Firstly, Frannie put [tex]\(\frac{1}{3}\)[/tex] of her music collection onto her mp3 player. This means that the music on the mp3 player represents [tex]\(\frac{1}{3}\)[/tex] of the whole collection.
While on vacation, she listened to [tex]\(\frac{1}{2}\)[/tex] of the music on the player. So, she listened to [tex]\(\frac{1}{2}\) of \(\frac{1}{3}\)[/tex] of her total collection.
To find out how much of the entire collection this is, we multiply the two fractions together:
[tex]\[ \frac{1}{2} \times \frac{1}{3} = \frac{1}{6} \][/tex]
This multiplication is justified because she listened to half of a third of her collection, which is the same as saying she listened to a sixth of her collection.
Therefore, Frannie listened to [tex]\(\frac{1}{6}\)[/tex] of her music collection while on vacation."
The shorter leg of a right triangle is 8 less than the hypotenuse. The longer leg is 1 less than the hypotenuse. Find the perimeter of the triangle.
Answer:
Perimeter is 30
Explanation:
short leg = h - 8
longer leg = h -1
(h-8)^2 + (h -1)^2 = h^2
h^2 - 16h + 64 + h^2 - 2h + 1 = h^2
h^2 - 16h + 64 + h^2 - 2h + 1 - h^2 = 0
h^2 - 18h + 65 = 0
(h - 13 )(h - 5 ) = 0
h-13 = 0 ---> h = 13 ---> short leg is 5 and long leg is 12 ---> perimeter is 30
h-5 = 0 ---> h = 5 --> short leg is -3 and long leg is 4 <--- disqualified because leg measure cannot be negative
short leg is 5, long leg is 12, hypotneuse is 13
5^2 + 12^2 = 25 + 144 = 169 = 13^2 <--- pythagorean check
perimeter is 5 + 12 + 13 = 30
Find the difference 9/4 - 4/3?
Answer: fraction = 11/12 or decimal = 0.91
What is The factor to this problem?
A.(x+2)(x-9)
B.(x-3)(x-6)
C.(x-2)(x+9)
D.(x+18)(x-1)
Answer:
C) (x+9)(x-2)
Step-by-step explanation:
You need 2 numbers that will add up to be 7 and multiply to be -18
The velvet bag contains 10 gold coins and 7 silver coins. A coin is randomly drawn from the bag and NOT replaced. Then a second coin is randomly drawn. What is the probability that both coins are gold?
Answer:
45/136 or 0.3309
Step-by-step explanation:
Total = 10 + 7 = 17
10/17 × 9/16
= 45/136
Or 0.3308823529
Final answer:
To determine the probability of drawing two gold coins in a row from a velvet bag containing 10 gold coins and 7 silver coins without replacement, we multiply the probability of drawing a gold coin on the first and second draw, which is 45/136.
Explanation:
The question involves calculating the probability of drawing two gold coins in succession from a bag containing 10 gold coins and 7 silver coins, without replacement. First, we calculate the probability of drawing one gold coin on the first draw. With 10 gold coins out of a total of 17 coins, this probability is 10/17. After drawing one gold coin, there are now 9 gold coins left out of 16 total coins. The probability of drawing a second gold coin, given the first was already drawn and not replaced, is 9/16. To find the overall probability of both events happening, we multiply the probabilities of each independent event: (10/17) * (9/16) = 90/272. Simplifying this, we get the final probability as 45/136.
PLEASE HELP:/ Find the approximate length of segment EF.
If it's on the Cartesian plane, you find the difference between the x coordinates (let's call that value a), and you find the difference between the y coordinates (let's call that value b)
You square a and b, and add them together (to get [tex]a^2 + b^2[/tex])
You find the square root of the sum you attained and get:
[tex]\sqrt{a^2 + b^2}[/tex]= EF
please i need help and i need need need this.
Answer:
No.
Step-by-step explanation:
Given inequality:
[tex]$5h>-15; h=-5$[/tex]
[tex]5(-5)>-15\\-15>-15[/tex]
-15 is not greater than -15, it is equal.
If the inequality symbol were [tex]\leq or \geq[/tex], it would be true.
What is the measurement of the unknown fourth interior angle of this quadrilateral?
Answer:
114 degrees
Step-by-step explanation:
Please help!! A picture measuring 4 inches by 6 inches is placed inside a frame which has equal width around the entire picture. If the area of the frame and the picture is 63 square inches, what is the width of the frame?
Answer:
Width of Frame = 1.5 inches
Step-by-step explanation:
The area of the picture is 4 by 6, or
4 * 6 = 24
The frame is same width all sides, let that width of frame each side be "x".
So,
Width of frame (and pic) = 4 + x + x = 4 + 2x
Height of frame (and pic) = 6 + x + x = 6 + 2x
Total area of frame and pic is 63, so we can write:
[tex](4+2x)(6+2x)=63[/tex]
Now, we multiply and solve for "x":
[tex](4+2x)(6+2x)=63\\24+8x+12x+4x^2=63\\4x^2+20x+24=63\\4x^2+20x-39=0\\x=-6.5,1.5[/tex]
We disregard -6.5 since width can't be negative. So, we conclude:
Width of Frame = 1.5 inches
Answer:
1.5 is right
Step-by-step explanation:
Give that dude brainliest
Need help like now please
Answer:
-46 -35 -10 y -7 7 8 13 35 x
Step-by-step explanation:
Erin washed the car 4 minutes slower than half of the amount of time it took time it took
Tad to mow the lawn. In total, the two jobs took Erin and Tad 62 minutes. The amount of
minutes that the jobs took Erin (x) and Tad (y) are given with the system of equations.
X=1/2y-4 x+y=62 How many minutes did it take Erin to wash the car?
Final answer:
By solving the system of equations step by step, we find that Erin took 18 minutes to wash the car.
Explanation:
The question involves solving a system of linear equations to find out how many minutes it took Erin to wash the car. We have two equations, x = 1/2y - 4 and x + y = 62, representing the time it took Erin (x) and Tad (y) to complete their tasks. To find the value of x, we can substitute the expression for x from the first equation into the second equation.
Let's solve the system step by step:
Express x in terms of y: x = 1/2y - 4.Substitute x in the second equation: (1/2y - 4) + y = 62.Combine like terms: 1.5y - 4 = 62.Add 4 to both sides: 1.5y = 66.Divide both sides by 1.5: y = 44.Now, we know Tad took 44 minutes. Substitute y back into the equation for x: x = 1/2(44) - 4.Calculate: x = 22 - 4.Finally, Erin took 18 minutes to wash the car.
A barge that is used to transport wheat is the shape of a rectangular prism and is 90 feet long, 35 feet wide, and 12 feet deep. What volume of wheat can the barge hold?
Answer: 37,800
Step-by-step explanation: 35x90x12= 37,800
Final answer:
The barge, which is shaped like a rectangular prism and measures 90 feet in length, 35 feet in width, and 12 feet in depth, can hold up to 37,800 cubic feet of wheat.
Explanation:
To determine the volume of wheat that a rectangular prism-shaped barge can hold, we use the formula for the volume of a rectangular prism: Volume = length × width × height. Given that the barge is 90 feet long, 35 feet wide, and 12 feet deep, we calculate the volume as follows:
Volume = 90 feet × 35 feet × 12 feet
Volume = 37,800 cubic feet
Therefore, the barge can hold up to 37,800 cubic feet of wheat.
John has 1 ½ hours of homework each day from Monday through Friday and 2 ¾ hours over the weekend. How much work does John have in a week?
Answer:
10.25 (10 1/4)
Step-by-step explanation:
1 1/2 = 1.5
Monday through Friday = 5 days.
1.5 hours of homework times 5 = 7.5
2 3/4 = 2.75 (his homework over the weekend)
7.5 plus 2.75 = 10.25
John would have 10.25, or 10 1/4 hours in a week.
Final answer:
John has 10.25 hours of homework in a week by calculating his daily homework hours and weekend hours.
Explanation:
To calculate the total amount of homework John has in a week:
John has 1 ½ hours of homework each day from Monday through Friday, totaling 1.5 hours/day x 5 days = 7.5 hours.
John has 2 ¾ hours over the weekend, which is 2.75 hours.
Adding the weekday and weekend hours together, John has a total of 7.5 hours + 2.75 hours = 10.25 hours of homework in a week.
PLZ HELP ASAP 35 PTS WILL MARK BRAINLIEST IF CORRECT
What is the equation of this trend line?
Enter your answers by filling in the boxes.
K=(box)J+(box)
Answer:
K = -2J+ 28
That is the equation for the line.
The regression equation you found for the
water lilies is y = 3-915(1.106)*.
N
In terms of the water lily population change the
value 3.915 represents:
The value 1.106 represents:
DONE
Answer:
- the value of 3.915 is the initial number of water lilies
- it is approximately 4, which matches the data
- the value 1.106 is the growth rate
- the rate represents growth for each day
- the percentage growth each day is 10.6%
The value of 3.915 is the initial number of water lilies and the value of 1.106 is the growth rate.
What is a regression line?A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.
We have a regression line:
y = 3.915(1.106)×
Plug x = 0
y = 3.915
The value of 3.915 is the initial number of water lilies
The value of 1.106 is the growth rate and the rate represents growth for each day.
Thus, the value of 3.915 is the initial number of water lilies and the value of 1.106 is the growth rate.
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What is the area of the rectangle: 6/7 x 1 yard
Answer:
0.857142857 yards
Step-by-step explanation:
I need help please due today
Answer:
hi calm down I am here for you in the image there is a step by step explanation
x=3
y=-5
z=-4
Find the slope of each line.
1) y=− x−5
2) y=− x−1
1) slope = -1
2) slope = -1
Carter is deep-sea diving with two friends. Anita is exploring a coral reef 60 feet in front of Carter, and Gabe is floating on the surface directly above Carter. If Gabe and Anita are 87 feet apart, how far apart are Carter and Gabe?
63 feet
Explanation: if you do 87 squared subtracted by 60 squared you get 63 squared and if you square root that you get 63
Answer:
63 feet
Step-by-step explanation: