A cereal company is determining the nutritional information of a new recipe. They took a random sample of 20 servings of the cereal and measured
the number of calories in each serving. The number of calories in each serving are listed.
143, 145, 147, 150, 150, 152, 157, 159, 160, 160, 161, 163, 164, 165, 165, 168, 173, 175, 177, 180
The box plot shown is a summary of the data. Move numbers to the spaces to label the values and complete the box plot.
143
180
not drawn to sale
145
150
151
160.5
160.7
165
166.5
177
Answers
Answer:
Minimum is 143, second whisker is 150, median is 160.5, 3rd quartile is 166.5, maximum is 180
Step-by-step explanation:
The first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5
How does a boxplot shows the data points?A box plot has 5 data description.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.What are quartiles?When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.
Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Similarly, second quartile (also called median) is approximately in mid of the data.
Third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
Left to right is said in assumption that data was arranged increasingly from left to right
For this case, the data is:
143, 145, 147, 150, 150, 152, 157, 159, 160, 160, 161, 163, 164, 165, 165, 168, 173, 175, 177, 180
It is already sorted. There are 20 values.
We have to find the limits of box and the mid line, which are the three quartiles.
Dividing 20 in 4 equal parts give size of 5
Thus, 5-5-5-5 groups will be made by the three quartiles of this data.
The fifth value is 150, and sixth is 152. Any number between 150 and 152 can be taken as the first quartile, as before it will lie 25% of values and 75% of the data after that value. By tradition, we take average of these two values, so its 151 as the first quartile of the considered data set.
In the similar way, the second quartile or median is mean of 10th and 11th value which evaluates to (160+161)/2 = 160.5
And, the third quartile is the mean of 15th and 16th value of this data set, which evaluates to (165+168)/2 = 166.5
Thus, the first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5
Learn more about quartiles here:
brainly.com/question/9260741
Related Questions
What are the answers here?
Answers
2r = -2
r =-1
Answer:
Step 1: Subtract 8 to -10 because it is a positive
Step 2: Divide 2r by -18
Step-by-step explanation:
Little help with my math please
Answers
Зу + 9x = 12
y=mx+b
Answers
Answer:
y = -3x + 4
Step-by-step explanation:
3y + 9x = 12
subtract 9x
3y = 12 - 9x
divide by 3 on both sides
y = 4 - 3x
or
y = -3x + 4
Answer:
y=-3x + 4
Step-by-step explanation:
Convert standard form equation into y-intercept form
3y +9x=12
3y= 12-9x
Divide both sides by 3 to isolate the y (you can flip the equation if it is easier)
y= -3x+4
hope this helps and have a great day :)
how do I solve this
Answers
Answer:
4 hours
Step-by-step explanation:
120-72=48
48÷12=4
Answer:
4
Step-by-step explanation:
The total amount was $120.
A portion of the $120 was for parts.
The rest of the $120 was for service. Service cost $12 per hour.
Start with $120.
Subtract $72 to find the amount spent on service.
$120 - $72 = $48
$48 was spent on service.
The service costs $12 per hour.
$48/($12/hour) = 4 hours
Answer: 4 hours
Check:
$72 in parts + 4 hours * $12/hour = $72 + $48 = $120
4 hours is correct.
Mile is obsessed with her new book she started. She read 185 pages in 2 days. If she keeps up this pace about how many pages will she have read after 5 days
Answers
Answer:
462.5 pages
Step-by-step explanation:
You find out how many books she reads in 1 day then you can multiply it by 5 to get 5 days.
If she reads 185 in 2 days. Divide 185 by 2 to get 1 day.
185/2 = 92.5 pages
Now multiply 92.5 by 5 to get how many pages she read after 5 days.
92.5 x 5 = 462.5 pages
18 bottles of water cost $9. How much does it cost for one bottle of water? How much bottles can you buy with $6?
Answers
Answer:
Water cost 2$ you can buy 3 water bottles with 6$
Step-by-step
I did myself
Answer:
one bottle of water is 0.5 dollars. You can buy three bottles of water for $6
Step-by-step explanation:
since 9 divided by 18= 0.5, this is how it goes
18 bottles broken up into sections of one (one bottle in each section)
so you have to break up the dollars into cents to put an equal amount with each bottle. So you get 100 pennies for each dollar. There's only 9 dollars, so you split the pennies (that you broke from the 9 dollars) and put one in each section (each section still has one bottle) so each bottle with get one more penny with every round. The bottles take turns getting pennies. After you do all of them you will get 0.5 dollars for each bottle so that's how much the bottles cost.
The bottles cost 0.5 dollars.
Now we do this with 6 dollars instead of 9. You now know that each bottle cost 0.5 dollars so you have to do this
0.5 x 6 which = 3.
You can buy 3 bottles with $6.
I hope this helps!
solve x for triangle
Answers
Answer:
x = 69
Step-by-step explanation:
By exterior angle theorem:
x° + 43° = 112°
x° = 112° - 43°
x ° = 69°
x = 69
24/58 as a whole number percent
Answers
Answer:
41.379310344828
Step-by-step explanation:
I used my paper
Can someone help me plz
Answers
Answer:Titus is going to invest $500. Bank A offers a simple interest rate of 4%, while Bank B offers an interest rate of 3% compounded annually. In the long run, after many years, which bank account will grow the largest?
Step-by-step explanation:
The sum of the perimeters of 2 different squares is 68 feet, and the difference between their perimeters is 12 feet. What is the side length of
each square?
Answers
9514 1404 393
Answer:
10 ft7 ftStep-by-step explanation:
The side lengths are 1/4 of the perimeter, so we can say ...
the sum of side lengths is 68 ft/4 = 17 ft
the difference of side lengths is 12 ft/4 = 3 ft
Using x to represent the side length of the smaller square, we have ...
x + (x +3) = 17 . . . . . . the larger square has side length x+3
2x = 14 . . . . . . . . . subtract 3
x = 7 . . . . . . . . divide by 2
The side lengths of the squares are 7 feet and 10 feet.
brainliest or whatnot just answer it
Answers
Answer:
the answer is y=2x-3
Step-by-step explanation:
4/2=2 slope
1-4= -3 y-intercept
hope this helps!
The ratio of red pens to black pens is 2:9, the ratio of black pens to blue pens is 5:4. Show less than 50% of the pens are black
Answers
Answer:
is that all?
Step-by-step explanation:
Combine like terms to simplify the expression:
2 + 7x + 3 – 5x - 1 =
A.4 + 2x
B.4 - 2x
C.6x
D.5-2x
E.5+12x
Answers
Answer:
A. 4 + 2xStep-by-step explanation:
2 + 7x + 3 – 5x - 1
= 2 + 3 - 1 + 7x - 5x
= 4 + 2x
For the following, select an equivalent expression in standard form: (6n4 – 9n + 2) - (-51"+17n4 + 5).
Answers
Answer:
56/5
Step-by-step explanation:
[tex] \frac{0 \frac{4 \frac{y1 \frac{ { {. \frac{ {x}^{?} }{?} }^{2} }^{2} \times \frac{?}{?} \times \frac{?}{?} }{?} \times \frac{?}{?} \times \frac{?}{?} }{?} }{?} }{?} [/tex]
[tex] {4445xx \frac{51}{?} \times \frac{?}{?} }^{?} [/tex]
Answer: The answer is D
5n^7 - 11n^4 - 9n - 3
Step-by-step explanation:
5+2x+6=x +10
Solve this equation and show ur work
Answers
Answer:
x = -1
Step-by-step explanation:
5 + 2x + 6 = x + 10
11 + 2x = x + 10
-x -x
11 + x = 10
-11 -11
x= -1
Answer:
1
1
+
2
=
+
1
0
Step-by-step explanation:
it was the aaaa the we as be the
What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?
16 inches
12 feet
4 m 3
15 cm 2
Answers
Answer:
15 cm
Step-by-step explanation:
6x5 divide by 2
Answer:
15 cm^2
Step-by-step explanation:
17. Pour faire des petits cadeaux à ses proches, Johanne a décidé d'acheter
des petites feuilles en sucre d'érable au coût de 1,14$ chacune. Si elle a
dépensé 13,68$ au total, combien de feuilles a-t-elle achetées ?
Answers
Answer:
12
Step-by-step explanation:
divisez 13.68 par 1.14 et vous obtenez 12.
Pour confirmer votre réponse, multipliez 1.14 par 12 et vous obtiendrez 13.68 (ce avec quoi vous avez commencé)
plssss say this makes sense i know absolutely nothing about french
Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.
What does X equal?
Answers
Answer:
3.2 plz help me to
Step-by-step explanation:
Answer:
3.2
Step-by-step explanation:
A bread recipe calls for 1/4 tsp of salt. How much salt is needed to make 6 loaves of bread?
Answers
Answer:
1 1/2 tsp
Step-by-step explanation:
How many times greater is the area circle 1( radius 12) of than the area circle 2( radius 4) of ?
Answers
Answer:
The area of circle 1 is 9 times greater than area of circle 2.
Step-by-step explanation:
Given that:
Radius of circle 1 = 12
Area of circle 1 = πr²
Area of circle 1 = [tex]3.14*(12)^2 = 3.14*144[/tex]
Area of circle 1 = 452.16
Radius of circle 2 = 4
Area of circle 2 = [tex]3.14*(4)^2 = 3.14*16[/tex]
Area of circle 2 = 50.24
Let,
x be the number of times circle 1 is bigger than circle 2.
Area circle 1 = x * Area circle 2
[tex]\frac{452.16}{50.24}=\frac{50.24x}{50.24}\\\\x=9[/tex]
Hence,
The area of circle 1 is 9 times greater than area of circle 2.
Two cars are heading toward the same intersection. Car A travels due east at 20 miles per hour, and Car B travels due north at 50 miles per hour. At what rate, in miles per hour, is the distance between the two cars decreasing when Car A is 0.375 miles from the intersection and Car B is 0.5 miles from the intersection?
Answers
Answer:
the distance between them is decreasing at a rate of 2 mph.
Step-by-step explanation:
List all given rates and the unknown rate.
Write the formula that relates the variables in the problem: x, y, and s.
There’s a right triangle in the diagram, so you use the Pythagorean Theorem:
For this problem, x and y are the legs of the right triangle, and s is the hypotenuse, so
Differentiate with respect to t.
Use the Pythagorean Theorem again to solve for s.
x = 0.4
y = 0.3
You can reject the negative answer because s obviously has a positive length. So s = 0.5.
Now you’ve got everything you need to substitute into the differentiation result and solve for ds/dt.
This negative answer means that the distance, s, is decreasing. Thus, when car A is 3 blocks north of the intersection and car B is 4 blocks east of the intersection, the distance between them is decreasing at a rate of 2 mph.
Which equation can be used to find the missing angle?
a. X + 90 = 180
b. X + 40 = 90
c. 180 - 40 = x
Answers
Answer:
A, all three angles of a triangle equal 180
Answer:
b. x + 40 = 90
Step-by-step explanation:
This is a right triangle, so we already know one of the angles is 90 degrees. The other angles combine to make the other 90 degrees. So, we have to figure out what the other angle is, as the second one is 40 degrees. To figure that out, use the equation x + 40 = 90. (This is extra, but x is 50, right?)
Find the Slope of the line that passes through the given coordinates. Enter as a fraction please
(11,7) and crosses the y-axis at 17
Answers
Answer:
follow the steps and you'll understand the question
What is 12 divided by 2/3 and why? Please help
Answers
Answer:
8
Step-by-step explanation:
12/3=4
4 times 2=8
2x + 7 = 19
X=?
Which one is the answer
Answers
Answer:
x=6
Step-by-step explanation:
first you subtract 7 and 7 and you also have to subtract 7 and 19 and the answer will be 12 then you divide 2 and 2 to make it only x so if you divide 2 and 2 you also have to divide the 12 so 12 divided by 2 equal 6 so the x is equal to 6
Please help, I’m literally crying
Answers
Answer:
1 because 91-18=1
Step-by-step explanation:
help pls due in 5 minutes
Answers
Answer:
the answer to this is 7 7/10
Answer:
4th option
Step-by-step explanation:
[tex]5\frac{1}{2}*1 \frac{2}{5}=\frac{11}{2} *\frac{7}{5} =\frac{77}{10}=7\frac{7}{10}[/tex]
When you make a cake the diameter should be 12 inches. The Bakers of
America accept a variance of .5 inch. Therefore, 12 – 12.5 Find the
least acceptable diameter for your cake.
Answers
Answer:
11.5 inches
Step-by-step explanation:
Just subtract the .5 inch from 12. The max of variance that it can have.
Evaluate the expression, if x = 6, y = 8, and z = 4. 6x - y N
Answers
because you need to reduce the expression if possible by canceling the common factor
7
Step-by-step explanation:
first plug in all your numbers to get
6×6-8
4
then do the multiplication to get
36-8
4
next do you subtraction to get
28
4
last you divide to get
7
Why did most ancient cultures writ out their mathematical texts in words
Answers
Answer:
They had no numeral for zero in their number system.
Without a zero, it is hard to accurately represent real world problems. This makes it easier to use words rather than numbers.
Step-by-step explanation:
make it braintliest please