slope if (5,6) and (-7,5)

Answer:

three  consecutive numbers that add up to 84 are 27,28 and 29

Step-by-step explanation:

27+28=55

55+29-=84

Answer:

Step-by-step explanation:

since this has something to do with chance im guessing maybe percentage of winnign this

so

4/14 x 100 so 28.57% probability of winning this game i believe

Exact answer as a fraction = 1/91

Approximate answer in decimal form = 0.010989

Approximate answer in percent form = 1.0989%

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

Explanation:

Let's think of the problem another way.

Let's say that we have 14 ping pong balls labeled 1 through 14. Furthermore, lets set up the first four balls {1,2,3,4} to be labeled with a star sticker. The rest don't have a star. The star stickers indicate a winning ball. All of the ping pong balls are then put into a bag where we will randomly pull out 3 of them. Replacements will not be made (ie the ball won't be put back). The goal is to get 3 star stickers in a row.

One possible combination is {1,2,7} which is close but not a winner since that 7 is there. Another possible combination is {5,8,12} which is not even close to a winner (since we didn't get 1,2,3 or 4).

---------

We have two questions we need to answer:

We'll use the nCr combination formula

[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]

We use the combination formula, instead of the permutation formula, because order does not matter. Something like {1,2,7} is the same as {7,1,2}.

If you plug in n = 14 and r = 3, you should find that 14 C 3 = 364.

I'll list the steps in the attached image below (to save space here).

This means there are 364 different ways to play the game. In other words, there are 364 ways to pull out three ping pong balls.

---------

That wraps up question 1. Now onto question 2.

We have 4 winning balls and 3 slots to fill, so we will plug n = 4 and r = 3 into the combination formula. I'll skip the steps because they're fairly similar to earlier. You could also use Pascal's Triangle to help. Whichever method you use, you should find that 4 C 3 = 4.

note: we have 4 winning balls and 3 slots to fill, so you can think of it like "how many ways are there to not choose a ball?" and that answer would be 4.

So this means there are 4 ways to win the game.

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

In summary so far, we found

This means the probability of winning is 4/364 = 1/91

Use your calculator to find that 1/91 = 0.010989 approximately which converts over to the approximate percentage of 1.0989%

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

To find a rational number by the mean method.

Add the 2 fractions and divide the result by 2

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]

To add the fractions we require them to have a common denominator.

The LCM of 2 and 3 is 6 ← required common denominator

Multiply numerator/denominator of first fraction by 3

Multiply numerator/denominator of second fraction by 2

= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]

= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )

= [tex]\frac{5}{6}[/tex]

Now divide by 2

[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )

= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]

= [tex]\frac{5}{12}[/tex]

This is the fraction midway between the 2 given fractions

Answer:

f(x)=-4x^2+10x-8

Step-by-step explanation:

well x normally equals 1 so replace all X's with 1 and solve

4*1=4 to the power of 2 is 16

10*1=10 subtract 8 equals  2 so

16-2= 14

F(x) is 14

the Y would be 14

Answer:

Here are Both Anwsers

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Since both the arcs centered at A and B are drawn as radius AB.

Therefore, AB = BC = AC

So, triangle ABC will be an equilateral triangle.

Since, AB = 5 CM

THEREFORE,

AC = 5 CM

BC = 5CM

Measure of each angle of equilateral triangle is 60°

Therefore,

Angle A = 60°

Angle B = 60°

Angle C = 60°

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 20 is about 4.472. Thus, the square root of 20 is not an integer, and therefore 20 is not a square number.

The reason why 20 is not a square number is because it's square root is not an integer.

It follows from the task content that we explain why 20 is not a square number.

First, a square number is one whose square root is an integer. Hence, such a number is a perfect square.

On this note, 20 is not a square number because it's square root is not an integer.

Read more on perfect squares;

https://brainly.com/question/8776355

#SPJ2

Answer:

The answer is y=8/3x+5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=1-5/(-1.5)-0

m=-4/-1.5

m=8/3

y-y=m(x-x1)

y-5=8/3(x-0)

y-5=8/3x-0

+5 +5

y=8/3x+5

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -3)/(4 -5) = -2/-1

  m = 2

The slope of the line is 2.

Answer:

2

Step-by-step explanation:

ΔY = 1 – 3 = -2

ΔX = 4 – 5 = -1

two negatives make a positive

Answer:

x = 0

Step by step explanation:

g ( x ) = 2x + 3

If x = 0,

g ( 0 ) = 2 (0) + 3

or, g ( 0 ) = 3

Hope that helped :)

Answer:

139 degrees

Step-by-step explanation:

Answer:

turkey=$32.786

ham=$26.086

Answer:

I believe that each turkey would be 47.94$ for each piece And the ham would be 41.51$ for each piece.

Step-by-step explanation:

Hope this helps!

Answer:

[tex]P(A\ n\ B) = 6\%[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.2[/tex]

[tex]P(B) = 0.3[/tex]

Required

Determine [tex]P(A\ n\ B)[/tex]

Since both events are independent;

[tex]P(A\ n\ B) = P(A) * P(B)[/tex]

[tex]P(A\ n\ B) = 0.2 * 0.3[/tex]

[tex]P(A\ n\ B) = 0.06[/tex]

Convert to %

[tex]P(A\ n\ B) = 0.06 * 100\%[/tex]

[tex]P(A\ n\ B) = 6\%[/tex]

Given:

Polynomial is [tex]3x^2+15x-56[/tex].

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

[tex]3x^2+15x-56+(x-8)^2[/tex]

[tex]=3x^2+15x-56+x^2-2(x)(8)+8^2[/tex]    [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]=3x^2+15x-56+x^2-16x+64[/tex]

On combining like terms, we get

[tex]=(3x^2+x^2)+(15x-16x)+(-56+64)[/tex]

[tex]=4x^2-x+8[/tex]

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is [tex]4x^2-x+8[/tex].

Answer:

A

Step-by-step explanation:

8.5 x 8.5= 72.25

so basically it's the closest answer

Answer:

y = -3

Step-by-step explanation:

The equation of the line is y = -x -2

We plug in the given x value into the equation to find y.

y = -(1) - 2

Simplify.

y = -3

Given:

Total number of people who signed up = 76

Each boat can transfer = 9 peoples

To find:

The number of boats required.

Solution:

We know that,

[tex]\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}[/tex]

On substituting the values, we get

[tex]\text{Required number of boats}=\dfrac{76}{9}[/tex]

[tex]\text{Required number of boats}=8.44...[/tex]

Number of required boats must be a whole number. So, approximate the data to the next whole number.

[tex]\text{Required number of boats}=9[/tex]

Therefore, the required number of boats is 9.

Answer:

I think it's the 2rd equation

Answer:

x= 16/3 now change in mixed fractions

no 2

For the value of x =20 will result in lines m and n being parallel

a line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects, though they may exist in two, three, or higher dimension spaces.

In the given figure, we need to find the value of x which makes the lines m and n are parallel.

parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.

In the given figure we have two angles 6x+14 and 134.

We need to equate these to find the value of x.

6x+14=134

Subtract 14 from both sides

6x=134-14

6x=120

Divide both sides by 6

x=20

Hence for the value of x =20 will result in lines m and n being parallel

To learn more on Straight lines click:

https://brainly.com/question/29223887

#SPJ2

Answer:

Value of x = 12 unit

Step-by-step explanation:

Given:

tw = 3x+5

wx = 10

tx = 5x-9

Find:

Value of x

Computation:

tw + wx = tx

3x + 5 + 10 = 5x - 9

3x + 15 = 5x - 9

2x = 24

x = 12

Value of x = 12 unit

Answer:

90%

Step-by-step explanation:

You can make the votes simple by dividing 8 on 80 and 72

80 becomes 10

72 becomes 9

You can do this because we done the same thing to both sides

now it is Yoko got 9 out of 10 and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote

Answer:

90%

Step-by-step explanation:

You can make the votes simple by dividing 8 on 80 and 72

80 becomes 10

72 becomes 9

You can do this because we done the same thing to both sides

now it is Yoko got 9 out of 10

and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote

Hope this helps!

Answer:

Step-by-step explanation:

Area formula

Given

Then the area is:

Answer:

4 ÷ 7 = 0.571428

Step-by-step explanation:

4 ÷ 7 = 0.571428

Answer:

he will have 28 pieces

Step-by-step explanation:

75*3=250

250/8=28

Answer:

The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])

Step-by-step explanation:

∵ y = 14x + 3 ⇒ (1)

∵ y = 2x + 10 ⇒ (2)

→ Equate equations (1) and (2) to find x

∵ 14x + 3 = 2x + 10

→ Subtract 2x from both sides

∴ 14x - 2x + 3 = 2x - 2x + 10

∴ 12x + 3 = 10

→ Subtract 3 from both sides

∴ 12x + 3 - 3 = 10 - 3

∴ 12x = 7

→ Divide both sides by 12 to find x

∵ [tex]\frac{12x}{12}[/tex] [tex]\frac{7}{12}[/tex]

∴ x = [tex]\frac{7}{12}[/tex]

→ Substitute the value of x in equation (1) or (2) to find y

∵ y = 2([tex]\frac{7}{12}[/tex]) + 10

∴ y = [tex]\frac{7}{6}[/tex] + 10

∴ y = [tex]\frac{67}{6}[/tex]

∴ The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])

Answer:

1a. 250

1b. 140

2a. 2530

2b. 250

Step-by-step explanation:

Answer: The probability is 1/9.

Step-by-step explanation:

First, let's define the possible outcomes of each dice:

Red: Forward (4 times), Backward (2 times)

Green : {1, 1, 2, 2, 3, 4}

We want to find the probability of moving backward 2 spaces.

Then we need to find the probability of rolling a "backward" in the red dice, and a 2 in the green dice.

First, the probability of rolling a backward in the red dice is equal to the quotient between the number of outcomes that are "backward", and the total number of outcomes in the dice (there are 2 backwards and 6 outcomes in total), this is:

p1 = 2/6 = 1/3.

And the probability of rolling a 2 in the green dice is equal to the quotient between the number of outcomes with a 2, and the total number of outcomes. (The 2 appears two times, and there are 6 possible outcomes):

p2 = 2/6 = 1/3.

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities, then the probability of moving backwards 2 spaces is:

P = p1*p2 = (1/3)*(1/3) = 1/9.

Answer:

To the nearest tenth of a meter, this is 3,309.4 m

Step-by-step explanation:

Here, we want to convert the jogging distance to meters only

we have 2 miles 120.3 yards

5,280 ft = 1 mile

2 miles will be 5,280 * 2 = 10,560 ft

3 ft = 1 yard

x ft = 120.3 yards

x = 120.3 * 3 = 360.9 ft

Adding both together to give ft only, we have

360.9 + 10,560 = 10,920.9 ft

1 m = 3.3 ft

x m = 10,920.9 ft

x = 10,920.9/3.3

x = 3,309.363636363636

To the nearest tenth of a meter, this is 3,309.4 m

Answer:

√89

Step-by-step explanation:

I assume you have to find the short cut, right?

5² + 8² = 25 + 64 = 89 = ( √89 )²