If you were given a fractional strip, that did not have any subdivisions marked like this one pictured below, how would you determine the fractional amount of the bar that is shaded?

If You Were Given A Fractional Strip, That Did Not Have Any Subdivisions Marked Like This One Pictured

Answers

Answer 1

9514 1404 393

Answer:

  it depends on the accuracy and resolution required of the answer

Step-by-step explanation:

The shaded portion appears to be about half the length of the unshaded portion, suggesting the shaded amount is 1/3.

__

Using a pair of dividers, one could determine the number of times the shaded portion fits into the whole bar. Depending on how much is left over, the process could repeat to determine the approximate size of the remaining fraction relative to the bar or to the shaded portion. (Alternatively, one could replicate the length of the bar to see what integer number of shaded lengths fit into what integer number of whole lengths.)

One could measure the shaded part and the whole bar with a ruler, then determine the relative size of the shaded part by dividing the first measurement by the second. The finer the divisions on the ruler, the better the approximation will be.


Related Questions

write cos2x as sinx
please help with this ​

Answers

Answer:

[tex]\cos(2\, x) = 1 - 2\, (\sin(x))^2[/tex].

Step-by-step explanation:

Angle sum identity for cosine: [tex]\cos(a + b) = \cos(a) \, \cos(b) - \sin(a) \, \sin(b)[/tex].

Pythagorean identity: [tex](\cos(a))^{2} + (\sin(a))^{2} = 1[/tex] for all real [tex]a[/tex].

Subtract [tex](\cos(x))^{2}[/tex] from both sides of the Pythagorean identity to obtain: [tex](\sin(a))^{2} = 1 - (\cos(a))^{2}[/tex].

Apply angle sum identity to rewrite [tex]\cos(2\, x)[/tex].

[tex]\begin{aligned}&\cos(2\, x)\\ &= \cos(x + x) \\ &= \cos(x) \, \cos(x) - \sin(x)\, \sin(x) \\ &= (\cos(x))^{2} + (\sin(x))^{2}\end{aligned}[/tex].

[tex](\sin(a))^{2} = 1 - (\cos(a))^{2}[/tex] follows from the Pythagorean identity. Hence, it would be possible to replace the [tex](\cos(x))^{2}[/tex] in the previous expression with [tex](1 - (\sin(x))^{2})[/tex].

[tex]\begin{aligned}&(\cos(x))^{2} - (\sin(x))^{2}\\ &= \left[1 - (\sin(x))^{2}\right] - (\sin(x))^{2} \\ &= 1 - 2\, (\sin(x))^{2} \end{aligned}[/tex].

Conclusion:

[tex]\begin{aligned}&\cos(2\, x) \\ &= (\cos(x))^{2} + (\sin(x))^{2} \\ &=1 - 2\, (\sin(x))^{2}\end{aligned}[/tex]

Suppose that 48% of high school students would admit to lying at least once to a teacher during the past year and that 25% of students are male and would admit to lying at least once to a teacher during the past year.20 Assume that 50% of the students are male. What is the probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year? Be sure to show your work and indicate all the rules that you use to find your answer.

Answers

Answer:

0.73 = 73% probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year.

Step-by-step explanation:

I am going to treat these events as Venn probabilities, considering that:

Event A: Lying to the teacher.

Event B: Male

48% of high school students would admit to lying at least once to a teacher during the past year and that 25% of students are male and would admit to lying at least once to a teacher during the past year

This means that [tex]P(A) = 0.48, P(A \cap B) = 0.25[/tex]

Assume that 50% of the students are male.

This means that [tex]P(B) = 0.5[/tex]

What is the probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year?

This is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Considering the values we were given:

[tex]P(A \cup B) = 0.48 + 0.5 - 0.25 = 0.73[/tex]

0.73 = 73% probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year.

1.
What is the slope of the line through the points (-2, -1) and (8, -3)?

Answers

Answer:

The slope of the line is [tex]-\frac{1}{5}[/tex]  in fraction form or -0.2 in decimal form.

Step-by-step explanation:

To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like [tex]\frac{rise}{run}[/tex], but in terms of finding a slope, it looks like [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

For finding the slope of this line with the points (-2,-1) and (8,-3), start by writing down the information given from the question.

[tex]y_{2}= -3[/tex]

[tex]y_{1}=-1[/tex]

[tex]x_{2}=8[/tex]

[tex]x_{1}= -2[/tex]

Next, plug in the information given from the question into the formula, and the formula will look like [tex]\frac{-3-(-1)}{8-(-2)}[/tex]. Then, simplify the equation, which will look like [tex]\frac{-2}{10}= -\frac{1}{5}[/tex]. The final answer will be [tex]-\frac{1}{5}[/tex]  in fraction form or -0.2 in decimal form.

what percentage of the appies are yellow?

Answers

5*6=30
6 yellow apples
6/30=.2
.2*100=20
20%

Answer:

20%

Step-by-step explanation:

6 out of 30. = 1/5 = multiply 5*20= 100 and 1*20= 100 so it is 20% of 100.

in a triangle the angle with the smallest measure is always the opposite the​

Answers

Answer:

in a triangle, the angle with the smallest measure is always opposite the shortest side.

Step-by-step explanation:

Add the following fractions. See the image below

Answers

Answer:

[tex]\dfrac{19}{840}[/tex]

Step-by-step explanation:

The given fraction is:

[tex]\dfrac{1}{168}+\dfrac{3}{180}[/tex]

We need to solve it.

The LCM of 168 and 180 is 2520.

So,

[tex]\dfrac{1}{168}+\dfrac{3}{180}=\dfrac{15+3\cdot14}{2520}\\\\=\dfrac{19}{840}[/tex]

So, the required answer is equal to [tex]\dfrac{19}{840}[/tex].

DFGI is a trapezoid with midsegment EH. What is DI?
D
8 cm
F
7 cm
EH = 6.00 cm
FG = 4.00 cm
5 cm
G
6 cm
H

Answers

Answer:

a. 8 cm

Step-by-step explanation:

Given:

EH = 6 cm

FG = 4.00 cm

Based on the mid-segment theorem of a trapezoid, we have:

EH = ½(FG + DI)

Plug in the values

6 = ½(4 + DI)

Multiply both sides by 2

6*2 = 4 + DI

12 = 4 + DI

12 - 4 = 4 + DI - 4

8 = DI

DI = 8 cm

6. Roll a pair of dice. What is the probability that a total of 12 will be face up?

Answers

Answer:

The Probability would be 2.78%

Step-by-step explanation: Hope this helps :)

If Sarah turns 15 on august 27 and her graduation year is 2024 how old will she be when she graduates high school?

Answers

Answer:

She will be 17

Step-by-step explanation:

My sister is like that but she's graduating in 22'

It sort of depends where Sarah lives -.-  

But if she starts high school when she's 15 (in 2021) and she graduates in 2024 it means high school is three years.

So 15 plus 3.

Sarah will be 18 when she graduates high school.

In Problem, p is in dollars and q is the number of units.
(a) Find the elasticity of the demand function
p2 + 2p + q = 49 at p = 6.
(b) How will a price increase affect total revenue?

Answers

Answer:

-14

Explanation:

Elasticity of demand is the degree of change in demand after a change I'm price, basically demand's sensitivity to price change.

Formula for calculating price elasticity is: change in price/change in quantity =dq/dp

Since we are given p²+2p+q=49 and not initial and current amount of price and quantity, we differentiate to find demand elasticity, thus:

2p+2+dq/dp=0

dq/dp=-2p-2

Given p =6, we substitute:

dq/dp=-2×6-2

dq/dp=-12-2

dq/dp=-14

With a demand elasticity of -14 there is an inverse relationship between price and demand. While price increases, demand falls.

Find the value of n?

Answers

Answer:

[tex]n^{2} -3=39.2=78\\n^2=78+3=81\\n=\sqrt{81} \\n=9[/tex]

Step-by-step explanation:

Which compound inequality could be represented by the graph?
–4 ≤ x ≤ 4
–2 ≤ x ≤ –1
x ≤ –1 or x ≥ 0
x ≤ 3 or x ≥ –1

Answers

Answer:

It is D.

Step-by-step explanation:

x ≤ 3 or x ≥ –1

Answer:

D) X <_ 3 or X _> -1

Whole Unit Test Review Answers:

1) D

2)D

3)B

4)C

5)D

6)A

7)B

8)C

9)A

10)B

11)D

12)D

13)B

14)B

15)D

(I got a 100%, and these were my answers, hope they help!)

(The pic below is a screenshot of the 100%, for reassurance)

what values of x makes -6x =12 true

Answers

Answer:

=> —6x = 12=> —x = 12/6=> —x = 2

=> x = —2

Step-by-step explanation:

hope it's helpful :-)

-6x=12

12 /-6 = -2

therefore, -2 make the value of x true

Jack is 2 years older than his sister jill. The sum of their ages is 24 years. If jack is x years, find x

Answers

Answer:

x = 13

Jack is 13 years old and Jill is 11 years old.

====================================================

Explanation:

x = Jack's age

x-2 = Jill's age, since she is 2 years younger than Jack

Add up the ages and set the sum equal to 24 to solve for x

x+(x-2) = 24

2x-2 = 24

2x = 24+2

2x = 26

x = 26/2

x = 13

Jack is 13 years old and his sister is x-2 = 13-2 = 11 years old

Check: 13+11 = 24, so the answer is confirmed.

What is the slope intercept form of the equation of the line shown below

Answers

Answer:

[tex]y=\frac{4}{3}x-4[/tex]

Step-by-step explanation:

----------------------------------------

The slope-intercept form formula is: [tex]y=mx+b[/tex]

The [tex]m[/tex] stands for the slope and the [tex]b[/tex] stands for the y-intercept.

By looking at the graph, I can figure out that the y-intercept is -4 because y-intercept is where the lines cross the y-axis and in this graph, the line crosses the y-axis at (0,-4).

The slope is [tex]\frac{4}{3}[/tex] because to get to the ordered pair (3,0), from (0,-4), you would have to go up 4 and over 3 to the right so it's [tex]\frac{4}{3}[/tex]

So now, if we insert the values in the formula, it would be [tex]y=\frac{4}{3}x-4[/tex]

----------------------------------------

Hope this is helpful.

Answer:

y = 4/3x -4

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

    = ( 0 -  -4)/( 3 - 0)

   = (0+4)/( 3-0)

   = 4/3

The y intercept is -4

The slope intercept form of the equation is

y = mx+b  where m is the slope and b is the y intercept

y = 4/3x -4

Find the correct algebraic representation of the dilation shown below.




a- (1/2x,1/2y)
b-(2/7x,2/7y)
c-(7/2x,7/2y)
d-(7x,7y)

Answers

Given:

The diagram of triangle DEF and triangle D'E'F' on a coordinate plan.

To find:

The algebraic representation of the dilation.

Solution:

The vertices of triangle DEF are D(0,7), E(7,-7) and F(-7,-7).

The vertices of triangle D'E'F' are D'(0,2), E(2,-2) and F(-2,-2).

We know that, the dilation factor is:

[tex]k=\dfrac{x\text{ or }y\text{ coordinate of the dilated point}}{x\text{ or }y\text{ coordinate of the corresponding original point}}[/tex]

For point D' the y-coordinate is 7 and for point D the y-coordinate is 2. So,

[tex]k=\dfrac{2}{7}[/tex]

The rule of dilation is:

[tex](x,y)\to \left(kx,ky\right)[/tex]

[tex](x,y)\to \left(\dfrac{2}{7}x,\dfrac{2}{7}y\right)[/tex]

The algebraic representation of the dilation is [tex]\left(\dfrac{2}{7}x,\dfrac{2}{7}y\right)[/tex].

Therefore, the correct option is b.

The net of a rectangular prism is shown.
8 in.
2 in.
2 in.
8 in.
2 in.,
1
1
1
6 in.
1
2 in. :

Answers

1

is the correct answer lol ez stuff

Multiple choice math problem

Answers

Answer:

ok so its a triangle with one side being

11

on side being

2

and one side is x

so we just use the formula

11^2+2^2=c^2

11^2+2^2=125

125 squared is 25

so

3 times the square root of 13 is 10.8166538264

so no

5 times the square root of 5 is 11.1803398875

so the answer i guess might be a?

Hope This Helps!!!

?????xxxxxxxxxxxxxxx ????? ?????xxxxxxxxxxxxxxx ?????xxxxxxxxxxxxxxx ?????xxxxxxxxxxxxxxx ????? xxxxxxxxxxxxxxx ?????xxxxxxxxxxxxxxx ?????

11x+7y=17
solve for y

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {\: y = \frac{17 - 11x}{7} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]\\11x + 7y = 17[/tex]

[tex] \\➺ \: 7y = 17 - 11x[/tex]

[tex]\\➺ \: y = \frac{17 - 11x}{7} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

The table represents the equation y= 8x what y= value is missing from the table?

Answers

Answer:

24

Step-by-step explanation:

y=8(3)= twenty four

you just fill in the x

A medical device company knows that the percentage of patients experiencing injection-site reactions with the current needle is 11%.

What is the probability that an injection-site reaction occurs for the first time on the 6th patient of the day?

0.0001
0.0614
0.3685
0.4970

Answers

Answer:

0.4970

Step-by-step explanation:

I might be wrong

The probability that an injection-site reaction occurs for the first time on the 6th patient of the day will be 0.4970. Then the correct option is D.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

A medical device company knows that the percentage of patients experiencing injection-site reactions with the current needle is 11%.

The probability that an injection-site reaction occurs for the first time on the 6th patient of the day is given as,

P = (1 - 0.11)⁶

P = (0.89)⁶

P = 0.4970

The probability that an injection-site reaction occurs for the first time on the 6th patient of the day will be 0.4970. Then the correct option is D.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

35 of 39
Complete the item by determining if the equation is true or false,
5x 3 1/2 = 3 x 5 1/2
0 17.5 = 16.5 (false)
O 17.5 = 17.5 (true)
O 18,5 = 18,5 (true)
O 18.5 = 19.5 (false)

Answers

Step-by-step explanation:

5x 3 1/2 = 3 x 5 1/2 is false

Pls Helppppp meeeeee!!​

Answers

Answer:

G

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals in the expression

[tex]\sqrt{52}[/tex]

= [tex]\sqrt{4(13)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{13}[/tex]

= 2[tex]\sqrt{13}[/tex]

------------------

[tex]\sqrt{117}[/tex]

= [tex]\sqrt{9(13)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{13}[/tex]

= 3[tex]\sqrt{13}[/tex]

Then

[tex]\sqrt{52}[/tex] + [tex]\sqrt{117}[/tex]

= 2[tex]\sqrt{13}[/tex] + 3[tex]\sqrt{13}[/tex]

= 5[tex]\sqrt{13}[/tex] → G

Problem:-

[tex]{\small\sf{The\:expression \sqrt{52} + \sqrt{117} \:is \: equivalent \: to}}[/tex]

[tex]\small\bf{F.} \: \sf{13} [/tex]

[tex]\small\bf{G.}\sf \:5 \sqrt{13} [/tex]

[tex]\small\bf{H.}\sf\:6 \sqrt{13} [/tex]

[tex]\small\bf{J.}\sf\:13 \sqrt{13} [/tex]

Solution:-

[tex]\small\sqrt{52}+\sqrt{117}\sqrt{4•13} +\sqrt{9•13}\tiny\sf\purple{(Product\:Property)}[/tex]

[tex]\small{ \: \:\: \: \: \: \: \:=\sqrt{2²•13}+\sqrt{3²•13}\tiny\sf\purple{(Prime\:Factorization)}}[/tex]

[tex]\small{\: \:\: \: \: \: \: \:=\sqrt{2²}\sqrt{13}+\sqrt{3²}\sqrt{13}\tiny\sf\purple{(Product\:Property)}}[/tex]

[tex]\small{\: \:\: \: \: \: \: \:=2\sqrt{13}+3\sqrt{13}\tiny\sf\purple{(Simplify)}}[/tex]

[tex]\small{\: \:\: \: \: \: \: \:=5\sqrt{13}\tiny\sf\purple{(Simplify)}}[/tex]

Answer:-

So, the correct option is D.

=======================

#Hope it helps!

(ノ^_^)ノ

Mr. Smith wants to know if he can fit 4 trapezoid tables like the one shown below into a room. What is the total area of 4 trapezoid tables? Answer without units. NUMBER ONLY!

Answers

Answer:

(1/2)(2)(5+3)

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The area of a trapezoid is:

( a + b ) ÷ 2 x h

Where a & b are the bases, and h is the height.

Use formula with the given measurements:

(3 + 5) ÷ 2 x 2

= 8 ÷ 2 x 2

= 4 x 2

= 8

Hope this helps

Một đề thi trắc nghiệm có 10 câu, mỗi câu có 4 phương án trả lời và chỉ có một đáp án đúng. Một sinh viên trả lời một cách ngẫu nhiên, xác suất để sinh viên được 5 điểm là

Answers

Câu trả lời:

0,0584

Giải thích từng bước:

Câu hỏi đưa ra đáp ứng điều kiện cần thiết cho phân phối xác suất nhị thức:

Số câu hỏi, số lần thử, n = 10

Xác suất, p = 1 / số lựa chọn = 1/4 = 0,25

q = 1 - p = 1 - 0,25 = 0,75

Tính xác suất để sinh viên đó được 5 điểm, x = 5;

Gợi lại:

P (x = x) = nCx * p ^ x * q ^ (n-x)

P (x = 5) = 10C5 * 0,25 ^ 5 * 0,75 ^ 5

P (x = 5) = 252 * 0,25 ^ 5 * 0,75 ^ 5

P (x = 5) = 0,0584

an electric guitar costs $790 with a 235 full replacement warranty if the manufacturer sells 500 and 98,274 warranties and has to honor 11% of them, how much profit did the manufacturer gain from the warrenties

Answers

Answer:

i got Profit = $125,129,007.1

Step-by-step explanation:

find the radius of this circle.

Answers

Answer:

r = 5 units

Step-by-step explanation:

Given:

Angle subtended at the centre (∅) in radians = 2π/3

Arc length (S) = 10π/3

radius (r) = ?

Required:

Radius (r)

Solution:

Formula for arc length given the central angle in radians is:

S = r∅

Make e the subject of the formula by dividing both sides by ∅

S/∅ = r∅/∅

r = S/∅

Plug in the values

r = (10π/3) / (2π/3)

Change the operation sign to multiplication and turn the fraction by your right upside down

r = 10π/3 × 3/2π

r = (10π × 3)/(3 × 2π)

Cross out terms that can divided each other

r = 5

For how many minutes did Lynn run at a greater speed
than Kael?
0 12
O 17
O 23
O 28

Answers

12-40=28 so the answer to this is D

Answer:

D. ✔ 28

Step-by-step explanation:

E 2021

A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
10h
3
31
34

Answers

Answer: Choice C) 31

==============================================

Explanation:

The recursive rule

f(n+1)=f(n)-3

can be rearranged to

f(n) = f(n+1)+3

after adding 3 to both sides

----------------

Now let's say we plug in n = 3

f(n) = f(n+1)+3

f(3) = f(3+1)+3

f(3) = f(4)+3

f(3) = 22+3

f(3) = 25

Repeat for n = 2

f(n) = f(n+1)+3

f(2) = f(2+1)+3

f(2) = f(3)+3

f(2) = 25+3

f(2) = 28

Each time we keep adding 3 to get the previous term (since the original recursive rule says to subtract 3 to get the next term; we just go backwards of what the instructions say).

Lastly, we can find that f(1) = f(2)+3 = 28+3 = 31 making the answer to be choice C.

15 points What’s the area‼️‼️‼️‼️‼️ please help me attach work too if you can

Answers

Answer:

66

Step-by-step explanation:

5x2= 10

7x8= 56

10+56= 66

Answer:

106

Step-by-step explanation:

split the shape, so you have 2 rectangles.

Multiply 8 and 7 = 56

add 2 and 8 =10, then multiply 10 by 5. =50

add 50 and 56

therefore your answer is 106.

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