Resolve into factors. ​

The theoretical probability of landing on tails is P = 0.5, and out of the 250 contestants, around 125 will win the game.

The coin has two possible outcomes, so if it is a fair coin, the probability for each of the outcomes will be 0.5 (this is the theoretical probability for a fair coin, where all the outcomes have the same probability).

Now, we know that a person wins if the coin lands tails up, and the probability of landing on tails is 0.5

Then, for a sample N, we can expect that about 0.5*N of the participants win.

In this case, the sample is 250, then we can expect that:

0.5*250 = 125

Around 125 of the contestants win the game

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Answer:

Below in bold.

Step-by-step explanation:

tan 150 = -tan 30

= -1/√3 = y/x    (1)

This is a unit circle so the hypotenuse = 1.

so sin 150 = y/1 = y

y = 1/2

So substituting in equation (1)

1/2 / x =  -1/√3

-x = √3/2

x = -√3/2.

The value of x in the unit circle is -√3/2.

Option B is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

Since the angle is 150 degrees, we know that it is in the second quadrant, where the x-coordinate is negative and the y-coordinate is positive.

Since the circle has a radius of 1, the y-coordinate is sin(150) = 1/2.

To find the x-coordinate, we can use the formula x = cos(θ), where θ is the angle in radians.

To convert 150 degrees to radians, we multiply by π/180:

150 degrees x π/180 = 5π/6 radians

So,

x = cos(5π/6) = -√3/2.

Therefore,

The value of x is -√3/2.

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Answer:

136 tickets

You have to do 8x17

Answer:

[tex]\sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

Step-by-step explanation:

Given equation

[tex] \sf {x}^{2} - 9x + 20 [/tex]

Rules for factorisation,

distribute the middle term in such a way that constant of each term when multiplied outputs the last number.

The middle term -9x can be written as sum of -5x and -4x, and when we multiply -5 with -4 it turns+20.

rewriting equation,

[tex] \sf \hookrightarrow {x}^{2} - 5x - 4x + 20 \\ \sf \hookrightarrow x(x - 5) - 4(x - 5) \\ \sf \hookrightarrow \: (x- 4)(x - 5)[/tex]

[tex] \sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

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Answer:

[tex] \: [/tex]

Step-by-step explanation:

So, here we have to factorise the polynomial :

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 9x + 20\\ \\[/tex]

We are to find two numbers such that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p \times q = 20 \:}}} \\ \\[/tex]

The two numbers are 4 and 5, so

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 5x - 4x+ 20\\ \\[/tex]

Finding common factors :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad {x} (x - 5) - 4(x - 5) \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x - 5) (x - 4) \:}}} \\ \\[/tex]

Some points to know :

Answer:

The answer is in the image

Step-by-step explanation:

Answer:

[tex]beinggreat78~here~to~help![/tex]

The price increased by %60. Why? Because 160% of 500 is 800, so that must mean the percent only increased by 60.

Answer:

d is equal to 3/6 or 1/2

Step-by-step explanation:

to solve this you need to convert 1/3 to have the demoninator of 6 by multiplying the top and bottom by a factor of 2 to get 2/6. then move 2/6 to the other side of thr equation by subtracting so 5/6 - 2/6 which is 3/6 or 1/2

Answer:

slope of perpendicular: [tex]\sf \bold{\frac{1}{5} }}[/tex]

slope of parallel: -5

rewrite in slope intercept form:                           [ y = mx + b ]

comparing with y = mx + b       [ where m is slope, b is y-intercept ]

Parallel slope is same

formula: m₁ = m₂

slope of parallel: -5

Perpendicular slope is negatively reciprocal

formula: m₁ = -(m₂)⁻¹

slope of perpendicular: 1/5

Answer:

Slope of the line that is parallel: -5

Slope of the line that is perpendicular: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

-5x - y = 1 <== add 5x to both sides

+5x      +5x

-y = 5x + 1 <== divide both sides by -1

/-1      /-1

y = -5x - 1

The slope of the line that is parallel to this line is -5.

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-5)

2. Flip it (-1/5)

3. Change the sign (1/5)

For a slope of -5, the reciprocal would be: [tex]\frac{1}{5}[/tex]

Hope this helps!

Answer:

It is translation

the car stays the same when it moves from BLUE to B"L"U"E"

Step-by-step explanation:

if it was a rotation, the car would be upside-down in the final product.

if it was a reflection, the car would also be upside-down.

if it was a dilation the final product would be smaller.

This is how we know is a translation.

Answer:

The answer is 6y :)

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

6

Step-by-step explanation:

if you calculate it all in, 6x4 is 29. so you do 1/2x29 and divide it by three, then add 2 to that and in conclusion its equal to 6 (im sure!!) ive double checked so go ahead put that answer in.

Answer:

yes, an expression is at least 2 terms
an equation requires two sides

Answer:

yes

Step-by-step explanation:

Answer:

ok it's a good question... so answer to that is... I also don't know..

Answer:

C. [tex](4+ (-6.5)) +11.5[/tex]

Step-by-step explanation:

Just exchange:

11.5 + (4 + ( - 6.5  ) )

⇒  (4+ (-6.5)) +11.5

After applying the property the expression would be  (4+ (-6.5)) +11.5.

Changes to the order of the addends have no effect on the sum, according to the associative feature of addition.

For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) or (2 + 3) + 4

Given:

11.5+ (4+ (-6.5))

In Above case we can use the  Associative property over addition.

For this we just need to exchange the position of number along with their signs.

So, 11.5+ (4+ (-6.5))

=  (4+ (-6.5)) +11.5

Hence, after applying the property the expression would be  (4+ (-6.5)) +11.5.

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Usando el concepto de seno, hay que la escalera debe formar un angulo de 41.8º con el suelo.

El seno de un angulo viene dada por el cambio vertical dividido por el cambio diagonal.

En este problema:

Por eso:

[tex]\sin{\alpha} = \frac{8}{12}[/tex]

[tex]\alpha = \sin^{-1}{\left(\frac{8}{12}\right)}[/tex]

[tex]\alpha = 41.8^\circ[/tex]

La escalera debe formar un angulo de 41.8º con el suelo.

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Answer:

James will need to buy 3 boxes of crackers for the party.

Step-by-step explanation:

remember: 16oz=1 pound

If James needs 3 pounds of crackers, and each box is 20oz, that means each box is a little over 1 pound. (1.25 pounds to be exact). So, we know that he needs to buy 3 boxes of crackers. This is because 20×3=60 ounces which is 3.75 pounds. Meaning, 3 boxes is the correct answer since we can't cut a box in half.

The surface area of the cylindrical tank on which the Michael is painting is 7065 ft².

Surface area of cylinder is the area of each faces by which it is enclosed. The surface area of cylinder can be calculated with the following formula;

[tex]A=2\pi rh+2\pi r^2[/tex]

Here, (h) is the height of the cylinder and (r) is the radius.

Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank so that he knows how much paint to purchase.

Put the values in the above formula,

[tex]A=2(3.14) (15)(60)+2(3.14)(15)^2\\A=7065\rm\; ft^2[/tex]

Thus, the surface area of the cylindrical tank on which the Michael is painting is 7065 ft².

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Answer:

[tex]=-\frac{82}{105}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3}+\left[\frac{3}{5}+\left(-\frac{5}{7}\right)\right][/tex]

[tex]\frac{3}{5}+\left(-\frac{5}{7}\right)[/tex]

[tex]=-\frac{4}{35}[/tex]

[tex]=-\frac{2}{3}-\frac{4}{35}[/tex]

[tex]=-\frac{82}{105}[/tex]

[tex]\huge\text{Hey there\bf!}[/tex]

[tex]\mathsf{-\dfrac{2}{3} + [\dfrac{3}{5} + -\dfrac{5}{7}]}[/tex]

[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} + - \dfrac{5}{7}}[/tex]

[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} - \dfrac{5}{7}}[/tex]

[tex]\mathtt{-\dfrac{2\times35}{3\times35} + \dfrac{3\times21}{5\times21} - \dfrac{5\times15}{7\times15}}[/tex]

[tex]\mathtt{= -\dfrac{70}{105} + \dfrac{63}{105}- \dfrac{75}{105}}[/tex]

[tex]\mathtt{= \dfrac{-70 + 63 - 75}{105 + 0 - 0}}[/tex]

[tex]\mathtt{= \dfrac{-7 - 75}{105 - 0}}[/tex]

[tex]\mathtt{= \dfrac{-82}{105}}[/tex]

[tex]\mathtt{= -\dfrac{82}{105}}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathtt{\mathtt{= -\dfrac{82}{105}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Ronnie's purchase is not an example of impulsive buying because he had an intention to buy electronic device Impulsive Buying

Impulsive buying is simply a situation buyers are faced with when they purchase items they do not really need or no intention prior to the time of purchase.

However, in this situation Ronnie purchase is not an example of impulsive buying because he had intention to purchase an electronic device, hence he walked into and electronic store.

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Answer:

i cant really tell because there is no real explannation

Step-by-step explanation:

The mean is said to be an arithmetic mean. The mean of the snowfall is 17.9 inches then the correct option is C.

Mean is simply defined as the average of the given set of numbers. The mean is considered one of the measures of central tendencies in statistics. It is the ratio of the sum of the observation to the total number of observations.

A town's yearly snowfall in inches over a 10-year period is recorded in this table.

Year          Snowfall in inches

1997                      15

1998                      11

1999                      18

2000                     25

2001                       13

2002                     20

2003                      16

2004                     28

2005                     15

2006                      18

Then the mean will be

[tex]\rm Mean = \dfrac{15+11+18+25+13+20+16+28+15+18}{10}\\\\Mean = \dfrac{179}{10}\\\\Mean = 17.9[/tex]

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Answer:

C

Step-by-step explanation:

17.9

Answer:

please help the question

Step-by-step explanation:

Answer:

4x - 5

Step-by-step explanation:

To make this 2 terms, we'll have to first identify if we have to distribute anything.

Since 10 - 4x is inside a parenthesis and [tex]\frac{1}{2}[/tex] is beside that, we know that we'll have to distribute the expression.

[tex]-\frac{1}{2}[/tex] (10 - 4x) = [tex]-\frac{10}{2}[/tex] + [tex]\frac{4}{2}[/tex]x = -5 + 2x.

Then, combine like terms:

2x - 5 + 2x = 4x - 5.

Remember, the coefficient always goes before the constant.

Your answer should be 4x - 5.

Answer:

the fourth graph, bottom left, is the correct one

Step-by-step explanation:

the line, also known as a line of best fit is best graphed to make sure that it covers all of the points, not including outliers. You want to make sure that the line of best fit has an fairly similar amount of points on either side, but there may be one or two outliers that are way far apart; you shouldn't need to worry about them.

Answer:

10 nickels

9 dimes

5 quarters

Step-by-step explanation:

Answer:

10 nickels, 9 dimes, 15 pennies, 5 quarters

Step-by-step explanation:

I'm a little confused by the question, but, I'll assume that each one is separated by a space.

4 quarters + 5 dims = 1.50. So, there would be 10 nickels.

10 pennies + 3 quarters + 5 nickels = 10+75+25=110. So, 9 dimes

2 quarters + 12 dimes + 3 nickels= 50 + 120 + 15 = 15. So, 15 pennies

4 dimes + 6 nickels + 5 pennies = 40+30+5=75. So, 5 quarters

Answer:

Let the number be x

when it is 8less than 4times the x the inequality equation we get is:

4x-8<56 (since it says it's less than 56)

4x<56+8

4x<64

x<64÷4

x<16

the possible values are all numbers less than 16

254.47cm^2

Step-by-step explanation:

A= pi x 3x3

= 9pi

x2 (there is 2 circles)

18pi

C=pi x D

= pi x 6

= 6pi

Width of rectangle wrap perfectly around the circle, so the circumference of 6pi will become the width of the rectangle

Rectangle:

A=lxw

= 10.5 x 6pi

= 63pi

Add up:

63pi + 18pi = 81pi

81pi = 254.469.....

Round to nearest 100th would be 254.47cm^2

(100th is 1/100= 0.01)

Hope this helps!

Answer:

2 out of 24

Step-by-step explanation:

Two days, meaning each day there will be a chance that Justin is chosen to take away that chance for one of his fellow classmates.