Use the information given to find a convenient dass width. Then list the class boundaries that can be used to create a relative frequency histogram. (Round your class with up to the nearest multiple of 5. Use the minimum value as the smallest class boundary. Enter your class boundaries as a comma separated list.)
8 classes for 75 measurements; minimum value-20; maximum value = 175
class width
class boundaries

Answer:

A cylinder 10 cm high with a circumference of 30 cm would have a greater volume

Step-by-step explanation:

Volume of a Cylinder

Given a cylinder of radius r and height h, the volume is calculated as:

[tex]V=\pi r^2h[/tex]

It's given a rectangular strip of aluminum 30 cm long and 10 cm wide. If we roll it to form a cylinder we can do it in two ways.

Rolling it across its length will make the cylinder have a height of h=10 cm and the circumference of the base equal to 30 cm.

The circumference of a circle of radius r is:

[tex]C=2\pi r[/tex]

Thus the radius is:

[tex]\displaystyle r=\frac{C}{2\pi}[/tex]

[tex]\displaystyle r=\frac{30}{2\pi}=\frac{15}{\pi}[/tex]

Thus the volume of the cylinder is:

[tex]V=\pi ( \frac{15}{\pi})^2*10[/tex]

[tex]V=\pi ( \frac{225}{\pi^2})*10[/tex]

[tex]V= \frac{2250}{\pi}[/tex]

If we rolled the strip across its width, then the height will be h=30 cm and the circumference C=10 cm, thus the radius is:

[tex]\displaystyle r=\frac{10}{2\pi}=\frac{5}{\pi}[/tex]

And the volume is:

[tex]V'=\pi ( \frac{5}{\pi})^2*30[/tex]

[tex]V'=\pi ( \frac{25}{\pi^2})*30[/tex]

[tex]V'= \frac{750}{\pi}[/tex]

Dividing V/V' = 3. The first volume it 3 times as much as the second volume.

A cylinder 10 cm high with a circumference of 30 cm would have a greater volume

Answer:th hypotenuse and the height can’t possibly be the same size because the Pythagorean theorem is a^2 +b^2=c^2

Step-by-step explanation:

Answer:

hypotenuse is equal to side of this square.

but hypotenuse is never be equal to hieght of the triangle.

Answer:

21

Step-by-step explanation:

Answer:

1.67

Step-by-step explanation:

25/15 = 1.67

The mean is estimated by dividing the total of the values by the range of values.

Answer:

18, 21

Step-by-step explanation:

By finding the difference between each term, you can find the pattern. 9-6=3, 12-9=3, 15-12=3, so we know that each term is 3 more than the last.

Therefore, by following the pattern of +3, the next term is 15+3=18 and the one after that is 18+3 = 21

Answer:

the next two terms would be 18 and 21

Step-by-step explanation:

A.

po sana makatulong po

3x+20=100

Now you would need to move the constant to the right side and change within it’s sign

3x=100-20

Now you would subtract the numbers so for 100-20 would give you 80

So now you then do 3x=80

But if you want to divide the equation, divide it by both sides by 3

Which would give you x=80/3, x=26.6 or x=26 2/3

The difference 0.2−0.05 is equal to 0.15.

To find the difference between 0.2 and 0.05.

The larger number  is 0.2.

The smaller number is 0.05.

When you subtract 0.05 from 0.2, you align the decimal points and subtract each digit accordingly:

[tex]0.2 - 0.05[/tex]

[tex]= 0.15[/tex]

So, the difference between 0.2 and 0.05 is 0.15.

To learn more on Equation:

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Answer:

14

Step-by-step explanation:

To make 166 a supplementary angle you should add 14 because supplementary angles equal 180.

Answer:

14

Step-by-step explanation:

Supplementary angles add to 180 degrees.

Let x be the unknown supplement

x+166 = 180

x+166-166 = 180-166

x =14

The unknown supplement is 14

it is 9a+2-6a is 3a+2

it is -p^6 is -531441

5n^2 is 25n2

-10n^4+9-7n^5n^6 i di not know

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

[tex]6x + 3y = 12[/tex]

[tex]4x + y = 14[/tex]

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

[tex]6x + 3y = 12[/tex] becomes

[tex]6 * 5 + 3 * -6 = 12[/tex]

[tex]30-18 = 12[/tex]

[tex]12 = 12[/tex]

[tex]4x + y = 14[/tex] becomes

[tex]4 * 5 - 6 = 14[/tex]

[tex]20 - 6 = 14[/tex]

[tex]14 = 14[/tex]

Because both solutions are true, then (5,-6) is a solution

Answer:

Amount on 11% note = $106,666.67

Amount on 8% note = $43,333.33

Step-by-step explanation:

Let the amount for the ​short-term note at ​11% interest be x.

Thus, the amount for the ​short-term note at ​8% interest will be (150000 - x)

Now we are told that the total interest paid is $15,200.

Thus;

0.11x + 0.08(150000 - x) = 15200

0.11x + 12000 - 0.08x = 15200

Rearranging gives;

0.03x = 15200 - 12000

0.03x = 3200

x = 3200/0.03

x = $106666.67

Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33

Answer:

Sum = 900 degrees.

Step-by-step explanation:

Sum = (n-2)180

=(7-2)180

=(5)180

=900

Answer:

900 degrees

Step-by-step explanation:

The formula for calculating the sum of the interior angles of a regular polygon is : ( n - 2) × 180°. when n is number of sides.

Sum of angles = ( n-2) × 180

Sum of angles = (7-2) × 180

Sum of angles = 5 × 180

Sum of angles = 900 degrees

Answer:your answer is D.

Step-by-step explanation:

When dividing fractions you must flip the numerator and denominator so that would leave you with 6/1 divided by 3/4, solve this and then you have an improper fraction so after you multiply by 3 you must divide because of the improper fraction and you will divide by 4.

Answer:

d .the total area multiplied by 3 divided by 4

Step-by-step explanation:

.

the total area multiplied by 3 divided by 4

Answer:

y = 10x + 30

Slope is 10

Y intercept is 30

Clint pays $80

Step-by-step explanation:

Let me know if you need any explanations

Step-by-step explanation:

log8 64 = a

cut log and base^a

64 = 8^a

8^a = 64

or a = 2

Answer:

[tex]8^a = 64[/tex], which gives [tex]a=2[/tex].

Step-by-step explanation:

When you see [tex]\log_8(64)=a[/tex], think: [tex]a[/tex] is the number such that [tex]8^a = 64[/tex]. Mathematical intuition gives us that [tex]a=2[/tex] immediately, but we can also work this out more methodologically:

[tex]8^a = 64\\(2^3)^a = 2^6\\2^{3a} = 2^6\\3a = 6\\a = 2[/tex]

And this solution suffices.

Answer:

w = 6

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

[tex]\frac{w-[-10]}{10-8}=8\\\\\frac{w+10}{2}=8\\\\w+10= 8*2\\[/tex]

w +10  = 16

        w = 16 - 10

         w = 6

Answer: If you divide 202/4=50.5 or 50 1/2

Step-by-step explanation:

Answer:

2. 38

3. 12

5. 7

9. 13

Answer:

9.375 grams

Step-by-step explanation:

30 days = 3(10 days)

m = 75·0.5³ = 9.375 grams

Answer:

x = 11

Step-by-step explanation:

sides of triangle measure: 'x', '4x-2' and '4x-2' since isosceles means both legs are equal

perimeter is the sum of all sides, so set up equation:

95 = 4x - 2 + 4x - 2 + x

95 = 8x - 4 + x

95 = 9x - 4

99 = 9x

x = 11

Answer:

B

Step-by-step explanation:

5(70)= 350

5(2)= 10

350+10=360

72(5)= 360

i hope this helps!

Answer: 0.887

Step-by-step explanation:

Answer:

Work out the Mean (the simple average of the numbers)

Then for each number: subtract the Mean and square the result.

Then work out the mean of those squared differences.

Take the square root of that and we are done!

Answer:

The initial weight of the bar soap is 123g

Step-by-step explanation:

No options but the question can still be solved.

Given

[tex]y = -5.6x + 123[/tex]

Required

What does the y intercept mean

Start by calculating the y intercept (i.e. when x = 0)

The equation becomes

[tex]y = -5.6*0 + 123[/tex]

[tex]y = 0 + 123[/tex]

[tex]y = 123[/tex]

This means that the initial weight of the bar soap is 123g

Answer:

7

Step-by-step explanation:

average of 7th grade - average of 8th grade = 7

average of 7th = (52+55+57+57+58+60+60+62+64+65)/10

= 590/10

= 59

average of 4th = 44+48+48+51+52+52+54+54+57+60

= 520/10

= 52

59 - 52 = 7

please give me brainliest if it is helpful for you

Answer: Hoped I help

7 and there is more variability in the height of 7th grade girls

Step-by-step explanation:

4th grade

44+48+48+51+52+52+54+54+57+60

found the median which is 52 and 52 but you add them and divide them by 2 to get the median which is 104/2= 52

7th grade

52+55+57+57+58+60+60+62+64+65

median is 60 + 58=118/2= 59

59-52= 7

and

there is more variabilty in the hieght f 7th grade girls. because 4th grade has a lot of modes already while 7th grade has only like two so 7th grade will have more variability.

Answer:

A

Step-by-step explanation:

Answer:

Pilot error = 347 / 1487 = 0.233 = 23.3%

Other human error = 83 / 1514 = 0.055 = 5.6%

Weather = 596 / 1487 = 0.401 = 40.1%

Mechanical problem = 374 / 1487 = 0.233 = 23.3%

Sabotage = 114 / 1487 = 0.077 = 7.7%

Step-by-step explanation:

Given the data :

Pilot error = 347

Other human error = 83

Weather = 596

Mechanical problem = 374

Sabotage = 114

Cummlative sum = (347 + 83 + 596 + 374 + 114) = 1487

Relative frequency :

Pilot error = 347 / 1487 = 0.233 = 23.3%

Other human error = 83 / 1514 = 0.055 = 5.6%

Weather = 596 / 1487 = 0.401 = 40.1%

Mechanical problem = 374 / 1487 = 0.233 = 23.3%

Sabotage = 114 / 1487 = 0.077 = 7.7%

Based on the relative frequency estimate, Weather is the most serious threat to aviation safety.

Deployment of more weather monitoring technologies

Answer:

It's D, Sammi's work. Hope it helps! Remember your perfect, your awesome, your worth it, just the way you are, you deserve this world! Have an amazing day!

Step-by-step explanation:

Answer:

The person above me is correct.

Answer:

I think this is what you meant not sure tho

Step-by-step explanation:

|8| = correct as it is

|-8| = correct as it is

-|8| = |-8|

-|-8| = |8|