anna, ben, and cindy are standing in a line. anna and ben are 10 feet apart, cindy and ben are 12 feet apart, and cindy and anna are 2 feet apart. who is standing in the middle?

Answer:

Anne Hathaway: 0.154 = 15.4%

Angelina Jolie: 0.048 = 4.8%

Melissa Leo: 0.029 = 2.9%

Meryl Streep: 0.231 = 23.1%

Kate Winslet: 0.714 = 71.4%

Step-by-step explanation:

Odds to probability:

Odds of a:b

The probability is given by:

[tex]p = \frac{a}{a+b}[/tex]

Anne Hathaway 2:11

So [tex]p = \frac{2}{2+11} = \frac{2}{13} = 0.154[/tex]

Angelina Jolie 1:20

So [tex]p = \frac{1}{1+20} = \frac{1}{21} = 0.048[/tex]

Melissa Leo 1:33

So [tex]p = \frac{1}{1+33} = \frac{1}{34} = 0.029[/tex]

Meryl Streep 3:10

So [tex]p = \frac{3}{3+10} = \frac{3}{13} = 0.231[/tex]

Kate Winslet 5:2

So [tex]p = \frac{5}{5+2} = \frac{5}{7} = 0.714[/tex]

Answer:

y = [tex]\frac{b}{1-m}[/tex]

Step-by-step explanation:

In order to get y by itself, we need to pull y out of 1 and m on the right side.

b = y(1 - m) since y(1 - m) is the same as y - my.

Once we have pulled y out of 1 and m, we can divide both sides by 1 - m

[tex]\frac{b}{1 - m}[/tex] = [tex]\frac{y(1 - m)}{1 - m}[/tex]

We can cancel out the 1 - m on the right side since (1 - m) / (1 - m) = 1

Finally we get our answer:

[tex]\frac{b}{1-m}[/tex] = y

This is the same as y = [tex]\frac{b}{1-m}[/tex]

For the given triangle the statement that is true for length x is -

x < 9

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

The length of 1 side is = 5 units

The length of second side is = 4 units

A key geometrical concept that connects the lengths of a triangle's sides is the triangle inequality theorem.

It stipulates that the length of the remaining side must be greater than the sum of the lengths of any two sides of a triangle.

The triangle inequality theorem can be written out as follows if a, b, and c are the lengths of a triangle's sides:

b + c > a

a + c > b

b + a > c

Since the sum for the given triangle is 5 + 4 = 9

So, the third side must be less than 9.

Therefore, the inequality is x < 9.

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Answer:

Theres 3, 8 8 8

or 111, 111*8=888.

Two correct answers

Step-by-step explanation:

Answer:

Step-by-step explanation:

28 cows × 6 days = 168 cow-days

(168 cow-days)/(21 cows) = 8 days

If a field of grass feeds 28 cows for 6 days, the number of days that the same field would feed 21 cows is 8 days.

This question involves the use of inverse proportion to solve.

According to this question, a field of grass feeds 28 cows for 6 days. The number of days it would take 21 cows is calculated as follows:

28 cows is fed for 6 days

21 cows will be fed for (28 × 6) ÷ 21 = 8 days.

Therefore, If a field of grass feeds 28 cows for 6 days, the number of days that the same field would feed 21 cows is 8 days.

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Answer:

177

Step-by-step explanation:

If the top 5 performers are not considered, the average drops by 2.

Thus,average without top 5 performers = 85 - 2 = 83

Total scored with 5 table toppers = 52 × 85 = 4420

Total scored without 5 table toppers = 47 × 83 = 3901

Total scores of top 5 table toppers = 4420 - 3901 = 519

We are told that each of the 5 top scorers had distinct integral scores.

Also, all of them will score greater than 83.

Thus,possible maximum score of table topper = 519 - (84 + 85 + 86 + 87) = 177

Answer:

look it up

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

multiply the hieght by the base you will get 56 then divide it by 2

Answer:

Step-by-step explanation:

In parallelogram, diagonals bisect each other

DP = IP

7x - 8 = 3x

7x       = 3x + 8

7x - 3x = 8

      4x = 8

       x = 8/4

     x = 2

NP = YP

3y = 7x - 2

3y = 7*2 - 2

3y = 14 - 2

3y = 12

y = 12/3

y = 4

Answer:

Isosceles triangle has two equal sides and two congruent bases.

Step-by-step explanation:

Isosceles triangle has three sides out of which two are equal. It has two congruent sides. The angle opposite to base is vertex. The two sides of the triangle are congruent and the angles opposite to these sides are also congruent. It is a special type of triangle which is also called equilateral triangle.

Answer:

0

Step-by-step explanation:

The given expression is :

[tex]8.29 \times \frac{ - 5.62 + 5.62}{5.62}[/tex]

We can solve the expression as follows :

[tex]\frac{ - 5.62 + 5.62}{5.62}=\dfrac{0}{5.62}[/tex] (As -5.62+5.62 equals to 0)

Any number multipled to 0 gives 0.

Hence, the value of the given expression is equal to 0.

Answer:

i dont understand either

Step-by-step explanation:none

Answer:

[tex]3tan(2x+15)=4\\or, \frac{tan2x+tan15}{1-tan2x.tan15} =\frac{4}{3}\\or, 3tan2x+3tan15=4-4tan2x.tan15 \\or, 3tan2x+4tan2x.tan15=4-3tan15\\or, tan2x(3+4tan15) = 4-3tan15\\or, tan2x = \frac{4-3tan15}{3+4tan15}\\or, 2x =tan^{-1}(\frac{4-3tan15}{3+4tan15})\\or, x = \frac{tan^{-1}(\frac{4-3tan15}{3+4tan15})}{2} = 19.06505118 (approximate)\\[/tex][tex]Note: tan30 = \frac{2tan15}{1-tan^{2}15}\\or, \frac{1}{\sqrt{3} } = \frac{2tan15}{1-tan^{2}15}\\or, 1-tan^{2}15 = 2\sqrt{3}tan15\\or, tan^{2}15+2\sqrt{3}tan15-1=0\\Solve~using~the~quadratic~formula~to~get~tan15^o=2-\sqrt{3}.[/tex]

Answer:

1.)

P(E) = 0.5

P(A) = 0.2

P(N) = 0.3

Conditional probability ;

0.47

Step-by-step explanation:

Let :

E = Excellent ; A = Average ; N = not up to standard

P(E) = 0.5

P(A) = 0.2

P(N) = 0.3

If Leo shows up ; this type of probability is called a conditional probability. It is the likelihood of an event based on a certain or already satisfied condition.

The probability that Leo is coming :

Leo ; Excellent = 0.7

Leo ; Average = 0.3

Leo; Not up to standard = 0.2

Hence, probability they Leo is coming :

(0.5 * 0.7) + (0.2 * 0.3) + (0.3 * 0.2)

0.35 + 0.06 + 0.06

= 0.47

Answer:

Both are supplementary angles so

(2x-3) +71 = 180

2x - 3= 180 - 71 = 109

2x = 109 +3 =112

X = 112 / 2= 56

x = 56

Answer:

“Help with what?“

Step-by-step explanation:

Answer:

did you forget the pic?

Step-by-step explanation:

Answer: 61,000

Step-by-step explanation:

61,360 is nearest to 61,000 then too 62,000

Answer:

61,000

Step-by-step explanation:

if its under 5 rather it being 5 50 500 etc you put it to the smallest number in this case you look at the hundreds which is a 3.

The number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that, John works two jobs. He earns $10 an hour babysitting his neighbour's children and $15 an hour mowing lawns in his neighbourhood. Last week he worked a total of 20 hours and earned a total of $240.

Let the x be the number of hours he spent babysitting and y be the number of hours he spent mowing lawns last week,

Establishing the equation, we get,

x+y = 20

x = 20-y......(i)

10x+15y = 240.......(ii)

Using the equation (i) in (ii), we get

10(20-y)+15y = 240

200-10y+15y = 240

5y = 40

y = 8

Put y = 8 in eq(i)

x = 20-8

x = 12

Hence, the number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.

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Answer:

8x + 245

Step-by-step explanation:

8(x + 30) + 5

8x + 240 +5

8x + 245

good luck, i hope this helps :)

Answer:

5 chicken wings per person

Step-by-step explanation:

if they cooked 34 to begin with then added 11 so

34+11=45

then you divide 45 by 9 equals 5

Answer:

She earned $12.60 per hour

Step-by-step explanation:

Pay was $412.65

Hours worked = 16.5 + 16.25 = 32.75 hrs

hourly rate = $$/hrs = 412.65/32.75  = 12.6

She earned $12.60 per hour

Step-by-step explanation:

distance = -6-(-2) and 4-2

-6+2 and 2

-4 and 2 is distance

Answer:

[tex]d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]

d = √(4 - (-2))² + (2 - (-6))²

d = √36 + 64

d = 10

Answer:

Tan 50 = H/24

Step-by-step explanation:

The set up will give a right angled triangle;

Given the following

angle of elevation = 50degrees

Distance of elevation from the flagpole base = 24m (Adjacent)

Required

Height of the flagpole (Opposite) = H

Using the SOH CAH TOA identity

Tan theta = opposite/adjacent

Tan 50 = H/24

H = 24tan50

H = 24(1.1918)

H = 28.60

Hence the required expression is Tan 50 = H/24 where H is the height of the flagpole

The height of the flagpole is 28.60.

Given

The angle of elevation to the top of a flagpole is 50 degrees.

The angle of elevation was measured 24 from the base of the flagpole.

The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.

Let the height of the flagpole be H.

Then,

The height of the flagpole is given by;

[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\ \rm Tan50=\dfrac{H}{24}\\\\H = 24 \times tan50\\\\H = 24\times 1.91\\\\H=28.60[/tex]

Hence, the height of the flagpole is 28.60.

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Answer:40b simplified

Step-by-step explanation: