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

Answer 1

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.

Researchers Collected Data On Calories Per Serving For 77 Brands Of Breakfast Cereal. The Histogram Displays

Related Questions

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]

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.

The points (20, 80) and (30, 120) form a proportional relationship. What is the slope of the line that passes through these points?

Answers

Slope = (y2-y1)/(x2-x1)
(120-80)/(30-20)
= (90)/(10) = 9
The slope is 9

ASAP PLS....I need this for tomorrow:(​

Answers

Answer:

your answer is 2x2y

Step-by-step explanation:

that's it

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.

^They have the correct answer !! Go with that

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

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

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.

Exact form: 10/9

Decimal form: 1.1(ones repeating)

Mixed number form: 1 1/9

Did it on a calculator so best of luck!

PLEASEEEE HELPPPPP ASAPPPP

Answers

Answer: f(n) = 8n + 20

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

since CB + BA = CA,
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

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!!   : )

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 :)

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?

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]

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:

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).

PLEASE HELP ASAP

Name the special segment

Answers

Answer:

altitude

Step-by-step explanation:

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

Isn’t it just 510 minus 375? Which is 135?? Maybe I’m wrong but I think it’s 135

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


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!

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:


1) The sum of two consecutive integers is greater than 21. Find the smallest possible values for the integers.

Answers

i can help

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

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

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:

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:

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

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

plz solve anyone question​

Answers

Here you go. Should be solved

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.

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

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