Veronica randomly surveyed a group of students to find out how they arrived at school each day; her findings are recorded in the table below. using the data from the table, estimate how many students drive to school if the total school population is 500 students.

Answer:

The volume of cube b is 1.

Step-by-step explanation:

1×1×1

Answer: volume of cube b is 24 and it would take 4 cube a's to fill cube b.

Step-by-step explanation:

Answer: Doctor A: 751.6   Doctor B: 755.2   Doctor B has an average of 3.6 more patients wearing corrective lenses than Doctor A.

Step-by-step explanation:

To find the mean for corrective lenses, add up all of the numbers and divide by the number of data points.

Doctor A's mean:

Add up the data points: 745+726+769+765+756+742+747+748+770+738 = 7516. Count the number of data points to get 10. Divide 7516 by 10. 7516/10 = 751.6.

Doctor B's mean:

Add up the data points: 763+736+735+759+748+756+765+761+768+761 = 7552. Divide by 10. 7552/10 = 755.2

Difference:

755.2-751.6 = 3.6

Answer:

Doctor A: 751.6 Doctor B: 755.2 Doctor B has an average of 3.6 more patients wearing corrective lenses than Doctor A.

stop deleting my answer

you scarmer

Step-by-step explanation:

Answer:1496

Step-by-step explanation:

just plug in to the formula for hexagonal prism volume and it equals 1496.49 which rounds to 1496 if you're rounding to the nearest whole number

Answer:

Step-by-step explanation:

1. 1:4

2. 1:2

3. 5:1

Answer:

x= -9/7

y= -38/7

so it has A. exactly one solution

Step-by-step explanation:

Substitute into one of the equations: 5x+1= -2x-8

Rearrange unknown terms to the left side of the equation: 5x+2x=-8-1

Combine like terms:7x=-8-1

Calculate the sum or difference: 8x=-9

Divide both sides of the equation by the coefficient of variable: x=-9/7

Substitute into one of the equations:y=-2×(-9/7)-8

Write as a single fraction:y=2×9/7-8

Calculate the product or quotient:y=18/7 -8

Convert the expression into a fraction: y=18/7 -8/1

Expand the fraction to get the least common demominator:y=18/7-8x7/1x7

Calculate the product or quotient: y=18/7-56/7

Write the numerators over common denominator:y=18-56/7

Calculate the sum or difference: y=-38/7

Rewrite the fraction: y= -38/7

The solution of the system is:

x= -9/7

y= -38/7

Answer:

48

Step-by-step explanation:

You add 4 to the 5 and the 3 (because there are 2 sides equal to 2). You multiply that to get the area of the entire figure(63), then subtract the area of the small rectangle (15) and get 48

Hope this helped!

Answer:

The answer is 8

Step-by-step explanation:

Red Team:160*.70=112

Blue Team:160*.75=120

120-112=8

Answer:

D

Step-by-step explanation:

the ratio of rows to flowers is 1:4, so for every 1 row, there are 4 flowers. so the equation would be f = 4r. do you understand how I got to that?

Answer:

−2.5d−0.7

Step-by-step explanation:

1 Expand by distributing terms.

-(2.5d+5)+4.3

2 Remove parentheses.

-2.5d-5+4.3

3 Collect like terms.

-2.5d+(-5+4.3)

4 Simplify.

-2.5d-0.7

Answer:

Step-by-step explanation:

well,

300/6 = 50

360/6 = 60

since 360 is closer,

360/6

360>342

it is also an overestimate

Answer:

52

Step-by-step explanation:

since HI and JK are parallel lines, angle K is congruent to angle I.

Now that you know that, we just need to know that a triangle's angles always add up to 180 degrees which means that x is 180-62-66

Answer:

Angle x = 52

Step-by-step explanation:

Angle HIA = Angle JKI = 63

This is because both angles are corresponding angles HI//JK

Angle x = 180 - 66 - 62

             = 52

Answer:

A bag contains 9 pennies, 8 nickels and 5 dimes: 22 coins total

5/30 = 1/6

22 + 8 = 30

 8 quarters would give the needed 30 coin total

P(dime) = 5/30 = 1/6

Step-by-step explanation:

No quarters should be added to the bag so the probability of drawing a dime is 1/6

Let x be the number of quarters to be added to the bag.

The probability of drawing a dime can be found by dividing the number of dimes in the bag by the total number of coins in the bag after adding x quarters.

The total number of coins in the bag before adding any quarters is:

9 pennies + 8 nickels + 5 dimes = 22 coins

After adding x quarters, the total number of coins in the bag becomes:

9 pennies + 8 nickels + 5 dimes + x quarters = 22 + x coins

The probability of drawing a dime is given as 1/6.

So, we can set up the equation:

5 / (22 + x) = 1/6

30 = 5(22 + x)

30 = 110 + 5x

-80 = 5x

x = -16

Since x represents the number of quarters to be added, it cannot be negative. Therefore, it is not possible to add any quarters to the bag so that the probability of drawing a dime is 1/6.

Hence, the answer is zero quarters.

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Answer:

200

Step-by-step explanation:

10x4x5 is $200 so that is the cubic centimeter

Answer:

471 cubic centimeters

Step-by-step explanation:

The empty space in the far is a cylinder with a height of 10 -4+6 centimeters and a radius of 5 centimeters. So, about 471 cubic centimeters of salsa are missing from the jar. 41.

Answer:The total  square inches of construction paper  Jenny needs for her project is 244 + 108 = 352 square inches

Step-by-step explanation:

Area of first rectangle:

Area of the second rectangle :

Answer: she needs 3281/12 sq inches

Step-by-step explanation:

12 * 12.25 = 147 sq inches

31/3 * 41/4 = 126 5/12

147+126 5/12

she needs 3281/12 sq inches

Answer:

C

Step-by-step explanation:

what is it you don't understand about this ?

the question only asks about a wallpaper border, which is a strip.

so, we don't need any areas, we only need the perimeter of the room.

that means we need to add up all sides.

the little "missing corner" on the top right would hurt us for the area of the room, but not for the perimeter.

just imagine, the room would be a perfect rectangle.

how long would the top side be ?

right, identical to the bottom side : 8 ft.

and how long would the right side be ?

right, identical to the left side : 4 yds.

now, look closely, did we lose (or add anything) of/to the side lengths by the missing corner up there ?

we lost area, but ... we did not lose perimeter distance !

i know, this sounds funny, but it is true. look again.

the short right side plus the long right side are together still the same length as the left side : 4 yds.

and the long top side and the shorter lower top side together are still the same length as the bottom line : 8 ft.

attention trap : the left and right sides are in yds.

1 yd = 3 ft !

so, long story short, the perimeter is as for a normal rectangle

2×length + 2×width = 2×8 + 2×4×3 = 16 + 8×3 = 40 ft

and the border costs $3 per ft, so we get

3×40 = $120

as the total price for the border.

Answer:

40in^2

Step-by-step explanation:

Add all the sides up

Answer:

2. triangular pyramid

3. square pyramid

4. rectangular prism

6. triangular prism

Step-by-step explanation:

Hoped this helps:)

:DDDDDD

Answer:

b. 119

c. 119

Step-by-step explanation:

Answer:

-5/6(x+6.2)= 7.5

or

3. Negative StartFraction 5 over 6 EndFraction (x + 6.2) = 7.5

Answer:

5/6(x+6.2)= 7.5

3. Negative StartFraction 5 over 6 EndFraction (x + 6.2) = 7.5

Step-by-step explanation:

Answer:

295

Step-by-step explanation:

y=157 because the other angle is 23

x = 138 because the other angle is 42

Answer:

Square

Step-by-step explanation:

A square has four right angles and four equal sides.

Answer:

square

Step-by-step explanation:

4 sides with the same length is a square because  if not the answer would be incorrect

2nd the shapes only with 4 right angles is a square or a rectangle anyways

sorry if this user name is weird my brother made this account

Answer:

Barbra’s front porch is 7 meters wide. Jakes front porch is 7,000 millimeters wide. Who has the wider porch.

Step-by-step explanation:

[tex]\Large\textsf{\textbf{Answer\;:}}}[/tex]

[tex]\large\textsf{refer\:to\:the\:"calculations"\:section\:of\:this\:ans}[/tex]

[tex]\Large\textsf{\textbf{Calculations\::}}[/tex]

[tex]-\displaystyle\frac{1}{2} :1\frac{3}{4}[/tex]

First , convert the mixed number (the fraction we are dividing by in the given maths problem) into an improper fraction .

Multiply the whole part (1) times the denominator (4) and add the numerator . The result is the numerator of our fraction , and the denominator stays the same .

So now our maths problem looks as follows :

[tex]-\displaystyle\frac{1}{2} :\frac{7}{4}[/tex]

Now turn the fraction you are dividing by over :

[tex]-\displaystyle\frac{1}{2} *\frac{4}{7}[/tex]

Now multiply the numerator of the first fraction times the numerator of the second fraction :

4

Perform the same operation with the denominators :

-4/14

So the result is :

[tex]-\displaystyle\frac{4}{14}[/tex]

Since the above fraction is not in it's simplest form , we divide the top and bottom by 2 (a common factor of both 4 and 14) :

[tex]-\displaystyle\frac{2}{7}[/tex]

[tex]\footnotesize\textsf{hope\:helpful~}[/tex]

Answer:

1) t < 7 degrees

2) x >( the sign needs to be underlined) 42

3)r >(the sign needs to be underlined) 125

Step-by-step explanation: There you go, I did my best =)

Answer:

Jayce should not use either option. Option 1 is likely to be based so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.

Step-by-step explanation:

Given:

Jayce volunteers for the local library. The librarian wants to find out whether the patrons prefer paperback books or e-books. Jayce cannot decide which method to use for polling the patrons.

Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day.

Option 2: Poll every third patron who enters the library on Technology Appreciation Day.

Since, Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day. It biased because since it paperback lovers day thus, it would be likely that most people like the paperback which make it biased.

Since, Option 2: Poll every third patron who enters the library on Technology Appreciation Day. It biased because since it technology appreciation day thus, it would be likely that most people don't care about these stuff since people coming in are for technology appreciation.

Therefore, the answer is:

Jayce should not use either option. Option 1 is likely to be based so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.

Kavinsky

Length of the coffee table will be 12.25 inch

What is Area of square?

The area of square is length time width.

Given that;

Area of square coffee table = 150 square inches.

Now,

Area of square = (side)²

Substitute the value of area of square,

Side² = 150

Take square root both sides,

Side = √150

Side = 12.247

After rounding it,

Side = 12.25

Thus, Length of the coffee table will be 12.25 inch.

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Answer:

[tex]\displaystyle \int {4x^6 - 2x^3 + 7x - 4} \, dx = \boxed{ \frac{4x^7}{7} - \frac{x^4}{2} + \frac{7x^2}{2} - 4x + C }[/tex]

General Formulas and Concepts:
Calculus

Integration

Integration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify given integral.

[tex]\displaystyle \int {4x^6 - 2x^3 + 7x - 4} \, dx[/tex]

Step 2: Integrate

We can find the indefinite integral using basic integration techniques listed under "Calculus":

∴ we have found the indefinite integral.

___

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___

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

[tex]\dfrac{4}{7}x^7-\dfrac{1}{2}x^4+\dfrac{7}{2}x^2-4x+\text{C}[/tex]

Step-by-step explanation:

Integration is the "opposite" of differentiation.

Fundamental Theorem of Calculus

[tex]\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))[/tex]

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration (C).

[tex]\boxed{\begin{minipage}{5 cm}\underline{Integrating a constant}\\\\$\displaystyle \int n\:\text{d}x=nx+\text{C}$\\(where $n$ is any constant value)\end{minipage}}[/tex]

Just add an x to the constant.

[tex]\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}[/tex]

Increase the power by 1, then divide by the new power.

[tex]\boxed{\begin{minipage}{5 cm}\underline{Terms multiplied by constants}\\\\$\displaystyle \int ax^n\:\text{d}x=a \int x^n \:\text{d}x$\end{minipage}}[/tex]

If the terms are multiplied by constants, take them outside the integral.

Given indefinite integral:

[tex]\displaystyle \int (4x^6-2x^3+7x-4)\:dx[/tex]

Integrate each term separately and take the constants outside the integrals:

[tex]\implies \displaystyle 4 \int x^6\:\text{d}x - 2 \int x^3 \:\text{d}x + 7 \int x \:\text{d}x - \int 4 \:\text{d}x[/tex]

Integrate, using the rules given above:

[tex]\implies 4 \cdot \dfrac{x^7}{7}-2 \cdot \dfrac{x^4}{4}+7 \cdot \dfrac{x^2}{2}-4x+\text{C}[/tex]

Simplify:

[tex]\implies \dfrac{4}{7}x^7-\dfrac{1}{2}x^4+\dfrac{7}{2}x^2-4x+\text{C}[/tex]

As one calculation:

[tex]\begin{aligned}\displaystyle \int (4x^6-2x^3+7x-4)\:dx & = \displaystyle 4 \int x^6\:\text{d}x - 2 \int x^3 \:\text{d}x + 7 \int x \:\text{d}x - \int 4 \:\text{d}x\\\\& = 4 \cdot \dfrac{x^7}{7}-2 \cdot \dfrac{x^4}{4}+7 \cdot \dfrac{x^2}{2}-4x+\text{C}\\\\& = \dfrac{4}{7}x^7-\dfrac{1}{2}x^4+\dfrac{7}{2}x^2-4x+\text{C}\end{aligned}[/tex]