Researchers collected data on calories per serving for 77 brands of breakfast cereal. The histogram displays the data
30
25-
20
1
Frequency
15
What is the approximate center of this distribution?
The center of the distribution is between 120 and 130
calories.
The center of the distribution is between 90 and 100
calories.
The center of the distribution is between 110 and 120
calories.
The center of the distribution is between 80 and
90 calories.
The center of the distribution is between 130 and 140
calories.
10
-
50 60 70 80 90 100 110 120 130 140 150 160
Calories
Answers
Histogram attached
Answer and explanation:
To find the center of the distribution, we find the mean of the distribution.
Mean= sum of all values/number of values
To calculate the mean of the distribution using the histogram(attached) with given frequencies, we find the mid point of each class and multiply by its frequency to get the sum of the values(estimated) and then divide by the number of values(sum of the frequencies of the classes)
midpoint of 50-60=50+60/2=55
midpoint of 70-80=150/2= 75
midpoint of 80-90=170/2=85
midpoint of 90-100=190/2=95
midpoint of 100-110=210/2=105
Midpoint of 110-120=230/2=115
Midpoint of 120-130=250/2=125
Midpoint of 130-140=270/2=135
Midpoint of 140-150=290/2=145
Midpoint of 150-160=310/2=155
Sum of the values= 55*frequency= 55*3+75* 2+85*1+95*7+105*17+115*29+125*10+
135*2+145*3+155*3
Sum of all values =8605
Number of values= 3+2+1+7+17+29+10+2+3+3=77
Mean= 8605/77= 111.753
Therefore the center of the distribution is between 110 and 120 calories.
Related Questions
Item 1
Order the numbers from least to greatest.
−3/4, 0.5, 2/3,−7/3, 1.2
Answers
Answer:
-7/3, -3/4, .5, 2/3, 1.2
Step-by-step explanation:
negatives are always the least number
Answer:
-7/3, -3/4, 0.5, 2/3, 1.2
Hope this helps! Sorry if it's wrong!
Janet answered 4 out of 5 correctly on her test. What percent of the questions did she answer
correctly?
Answers
Answer:
80%
Step-by-step explanation:
you divide 4 and 5. Which equals 80
Answer:
80%
Step-by-step explanation:
Celeste is making fruit baskets for her service club to.
take to a local hospital. The directions say to fill the
boxes using 5 apples for every 6 oranges. Celeste is
filling her baskets with 2 apples for every 3 oranges.
Is Celeste using the correct ratio of apples to oranges?
Answers
Answer:
c
Step-by-step explanation:
Which expression is equivalent to 6x2 – 19x – 55?
Answers
Answer: (x - 5)(6x + 11)
Step-by-step explanation:
Let's factorie the given expression using middle term splitting method.
Thus, we have ;
=> 6x² - 19x - 55
=> 6x² - 30x + 11x - 55
=> 6x(x - 5) + 11(x - 5)
=> (x - 5)(6x + 11)
Hence,
The equivalent expression of 6x² - 19x - 55 is :
(x - 5)(6x + 11).
The points (20, 80) and (30, 120) form a proportional relationship. What is the slope of the line that passes through these points?
Answers
(120-80)/(30-20)
= (90)/(10) = 9
The slope is 9
Henry puts 19 candies in each gift bag. He uses 551 candies. How many gift bags did he fill?
Answers
Answer:
29
Step-by-step explanation:
551/19=29
ASAP PLS....I need this for tomorrow:(
Answers
Answer:
your answer is 2x2y
Step-by-step explanation:
that's it
i will give u brainliest
Answers
Answer:
0.8
Step-by-step explanation:
Divide the numerator and denominator together to find the answer.
19 / 24 = 0.79166...
Round to the nearest tenth.
0.79166... → 0.8
Best of Luck!
Answer:
0.8
Step-by-step explanation:
numerator ÷ denominator = 0.791..
19 / 24 = 0.791..
0.791 to the tenth is 0.8
Hope this helps :)
plz solve anyone question
Answers
x^20-1=0,how many real roots does each have
Answers
Answer:
x = 1,-1 2 real roots
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
It cost $510 to get your car fixed. If it was $375 for parts, how much did the mechanic charge for the work to fix your car?
Answers
PLEASEEEE HELPPPPP ASAPPPP
Answers
PLEASEE HELP! ASAP!!
If a figure starts off in a Quadrant I and is reflected along the x-axis and then rotated 180 degrees about the origin, what quadrant will it land on?
Answers
Answer:
Quadrant 2
Step-by-step explanation:
First you reflect and it goes to Quadrant 4(Positive,Negative). When rotating 90 degrees you go to the next quadrant. In this case it is 180 degrees, so it ends up two quadrants away. The final location is quadrant 2
hey bro's help me!!
Answers
Answer:
3x+10
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
the probability is 1/2
Giving brainliest!!! HELP PLEASE! I can send money also if you can do it for me.
Answers
Answer:
(-4,1)
Step-by-step explanation:
The solution of these two linear equations in where the two lines meet. This means that when plugged into equation the x ( in this case -4) would allow you to get y = 2 (which is the y). Hope this helped you as I know the answer and if you want refinement.
Your Point
Here is your ordered pair plotted as a point, together
with the linear equation 2
(If you can't see your point, maybe you didn't type it
correctly, or maybe it's outside the graph window.)
Is your ordered pair correct? How do you know?
Yes
NO
a Explain your thinking
Submit
Answers
Answer:
I know my ordered pair is correct because it's on the line.
Yes, the ordered pairs are accurate as estimated by our theoretical calculations.
What is the graph?A graph, which is a mathematical representation of a network, describes the relationship between lines and points. A graph is made up of a few points and the arcs that connect them. Neither the location of the points nor the length of the lines matters.
Given that, the equation of a line is y=x+2.
Substitute x=0, 1, 2, 3, 4, 5 and 6 in the equation y=x+2, we get
y = 2, 3, 4, 5, 6, and so on.
So, the coordinate points are (0, 2), (1, 3), (2, 4), (3, 5) and (4, 6).
In the obtained graph, we got the points (0, 2), (1, 3) and (2, 4), they are accurate as we calculated.
Yes, the ordered pairs are accurate as estimated by our theoretical calculations.
To learn more about the graph visit:
brainly.com/question/14375099.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
Here is your ordered pair plotted as a point, together with the linear equation y=x+2
(If you can't see your point, maybe you didn't type it
correctly, or maybe it's outside the graph window.)
Is your ordered pair correct? How do you know?
PLEASE HELP ASAP
Name the special segment
Answers
Answer:
altitude
Step-by-step explanation:
Please help me with my work
Answers
Answer:
1) -1/4
2) -1/2
3) 1/3
Step-by-step explanation:
perpendicular lines' slopes are opposite reciprocals so you flip it and change the positive or negative sign
parallel lines have the same slope
3) Ashley is buying a bagel for her friends for lunch. The person in front of her buys a half a dozen bagels (6) for $38.35. How much would she pay for her and 8 friends bagels?
Answers
Answer:
38.35/6 * 8
Step-by-step explanation:
I’ll give brainliest
Answers
Answer:
1 1/9
Step-by-step explanation:
The answer is 1 1/9. Hope it is correct! You can give a brainliest if it is correct.
Decimal form: 1.1(ones repeating)
Mixed number form: 1 1/9
Did it on a calculator so best of luck!
Shawn uses 45N of force to stop the cart 1 meter from running his foot over. How much work does he do?
Answers
Answer:
[tex]\boxed {\boxed {\sf 45 \ Joules}}[/tex]
Step-by-step explanation:
Work can be found by multiplying the force by the distance traveled in the direction of the force.
[tex]W=F*d[/tex]
The force is 45 Newtons.
The distance traveled is 1 meter.
[tex]F=45 \ N \\d= 1 \ m[/tex]
Substitute the values into the formula.
[tex]W=45 \ N * 1 \ m[/tex]
Multiply.
[tex]W=45 \ N*m[/tex]
1 Newton meter is equal to 1 Joules.
Therefore our answer of 45 Newton meters is equal to 45 Joules.
[tex]W= 45 \ J[/tex]
The work done is 45 Joules.
Step-by-step explanation:
[tex]\sf Required\:Answer\begin{cases} \sf Force_(f)=45N \\ \sf Distance_(d)=1m \\ \sf As\:we\:know\:that \\ {\boxed{\sf Work_(w)=Force_(f)\times Distance_(d)}} \\ \sf W=45 \times 1Nm \\ \sf =45Nm \\ \longrightarrow {\underline{\boxed{\bf W=45Joule}}}\end {array}[/tex]
A person with a mental age of 21 and a chronological age of 20 has an IQ of 105. What is the chronological age of a person with a mental age of 35 and an IQ of
Answers
Answer:
The answer is "25 years".
Step-by-step explanation:
In the question the value of IQ is missing that is = 140
Given value:
IQ= 140
MA=35
CA=?
Formula for calculating the chronological age:
[tex]\to CA = (\frac{MA}{IQ})\times 100[/tex]
[tex]= (\frac{35}{140})\times 100\\\\ = \frac{35}{14}\times 10\\\\=2.5 \times 10\\\\= 25[/tex]
Please help me with my homework!!!!
Answers
Answer:
1. m = 5 2. v = -19 3. x = 10
4. x = 3 5. x = 32 6. x = -50
Step-by-step explanation:
My mom told me I know everything :D
don't guess!! pls help!!
THERE'S 4 IMAGES.
Answers
Answer:
pic one is rock cycle, pic 2 crystaline structure, and pic three and 4 are the same pictures as question 2
Step-by-step explanation:
How do I write an equation in slope-intercept form for the line with slope 2/3 & y-intercept -3
Answers
Answer:
Step-by-step explanation:
ok equation are like fraction but let me put it like this lets say x+y=7;x+2y=11 thats how you do eqution done.
Use FOIL to explain how to find the product of
(a + b)(a − b). Then describe a shortcut that you could use to get this product without using FOIL.
Answers
Answer:
A² + 2AB - B²
Step-by-step explanation:
Answer:
Multiply the first, outside, inside, and last terms of the binomials.
Multiply a times a, a times -b, b times a, and b times -b.
This is the same as just squaring a and squaring b.
A shortcut is to add a squared and b squared
Step-by-step explanation:
Feel free to copy and paste!! Hope this helps!! Have a great day!! : )
Callan goes for a hike every Saturday. Callan hikes at a rate of 3 miles per hour.
Complete the table for the given ratio.
Answers
Answer:
(1) 27 meters. (2, 3) Both distances in miles (y) are 10 miles (y)
Step-by-step explanation:
For the first question, every mark represents 9 meters. and 9 multiplied by 3 is 27.For the second half, look at the y section and see that the dots are a line higher than 9. So they both have 10 as y.
Find BA
CB + BA = CA
7x-2 + 5x+1 = 23
Answers
Answer:
BA = 11
Step-by-step explanation:
CB + BA = CA , substitute values
7x - 2 + 5x + 1 = 23, that is
12x - 1 = 23 ( add 1 to both sides )
12x = 24 ( divide both sides by 12 )
x = 2
Thus
BA = 5x + 1 = 5(2) + 1 = 10 + 1 = 11
sub. in all the values :
7x - 2 + 5x + 1 = 23
find the value of x :
7x + 5x = 23 + 2 - 1
12x = 24
x = 2
sub. in the value of x into (5x + 1),
BA = 5(2) + 1
BA = 10 + 1
BA = 11
5) Ziegler is using paper for an art project
thatis 0.025 mm thick. If she glues a layer
of thepaper onto a construction board with
athickness of 7 * 10^-2 mm, what will the
total thickness of the paper and the
construction
board be? Write your ansicer
in scientific notation
Answers
Answer:
9.5 * 10^-2 mm
Step-by-step explanation:
To find the total thickness, we proceed to add the two thickness that we have
Mathematically, this will be;
0.025 mm + 7 * 10^-2 mm
7 * 10^-2 mm = 0.07
So we have;
0.025 mm + 0.07 mm = 0.095
In scientific notation, this is 9.5 * 10^-2 mm
1) The sum of two consecutive integers is greater than 21. Find the smallest possible values for the integers.
Answers
i think it is 10 and 11
The smallest possible values for the integers will be 11 and 12.
What exactly is simplification?Simplifying means making something easier to do or comprehend, as well as making something less difficult.
Let the two consecutive integers will be x and y.
From the given conditions the sum of two consecutive integers is greater than 21;
x+y>21
11 and 12 are the only two consecutive digits has the sum of 21.
11+12>21
22>21
Hence, the smallest possible values for the integers will be 11 and 12.
To learn more about the simplification, refer to:
https://brainly.com/question/23509407
#SPJ2