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Answer:

[tex]Pr = \frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]n = 4[/tex]

Required

Probability that you seat on the far left

First, we calculate the total possible seat arrangements.

This is calculated using:

[tex]Total =n![/tex]

[tex]Total =4![/tex]

[tex]Total =4*3*2*1[/tex]

[tex]Total =24[/tex]

Next, the possible seat arrangements if you seat at the far left.

This implies that you can only seat 1 spot while your friends (3) can seat on any of the remaining 3 seats.

i.e.

[tex]You \to 1[/tex]

[tex]Friend\ 1,2,3 \to 3,2,1[/tex]

The number of arrangement is:

[tex]Arrangement = 1 * 3 *2 *1[/tex]

[tex]Arrangement = 6[/tex]

The required probability is:

[tex]Pr = \frac{Arrangement}{Total}[/tex]

[tex]Pr = \frac{6}{24}[/tex]

Simplify

[tex]Pr = \frac{1}{4}[/tex]

Answer: 0.5

Step-by-step explanation:

Given

There are 3 blue and 1 yellow marble

The chance of picking two marble out of 3 is [tex]^3C_2[/tex]

The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]

Therefore, the probability of picking 2 blue marbles

[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]

Step-by-step explanation:

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Answer:

w = 28.4 yds

Step-by-step explanation:

P = 12.7 + 4 + 2w

73.5 = 16.7 + 2w

56.8 = 2w

w = 56.8/2

w = 28.4

Answer:

w = 28.4 yards. Sorry need the points.

Answer:

Step-by-step explanation:

9x-4>4x+7

-4x

5x-4>7

+4

5x>11/5

x>2.2

Answer:

9x-4x>7+8

5x > 15

X >3

So the answer is x >3

Answer:

I took this a few days ago and if I remember correctly, it was B.

Answer:

it would be option B. I used a calculator, so I should be right.

Answer:

x= 5

Step-by-step explanation:

pythagorean theorem 3^2+4^2=5^2

And it is a 3-4-5 triangle

The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.

To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.

In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:

diagonal = √(side^2 + side^2 + side^2)

Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:

diagonal = √(7^2 + 7^2 + 7^2)

diagonal = √(49 + 49 + 49)

diagonal = √147

diagonal ≈ 12.124 inches

Therefore, the correct answer is:

12 inches

This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.

For more such questions on metal rod

https://brainly.com/question/14071390

#SPJ8

Answer:

ASA

Step-by-step explanation:

The ASA (angle side angle) identity states that if 2 triangles share 2 angles and one side in between the angles with each other, they are congruent. Since that is the case here, it is the answer.

Answer:

ASA

Step-by-step explanation:

When you have 2 angles and a side, look and see if the side is between the 2 angles.  What that means is that both angles share the one side.

If that happens, then the solution to congruence is ASA.  I'd be very careful about using SSA. There are exceptions and you should not choose it if you have a choice. Sometimes it works and sometimes it does not.

Answer:

V≈163.36ft³

Step-by-step explanation:

V=π(d 2)2h=π·(4 2)2·13≈163.36282ft³

Diameter= 4ft

Height=13ft

Heart me pls

Answer:

Step-by-step explanation:

D bc yes

Answer:

24.9475803

Step-by-step explanation:

9514 1404 393

Answer:

  line m: 3x -y = 8

Step-by-step explanation:

The dilation scale factor affects only the constant in a linear equation. The scaled lines are parallel to each other, so the slope, or ratio of coefficients, does not change.

3x -y = 4 scaled by a factor of 2 becomes 3x -y = 8.

Answer:

D

Step-by-step explanation:

Answer:

immma send you the link friend me on hereStep-by-step explanation:

Answer:

Choice A

Step-by-step explanation:

y-intercept = -3

double-checked on calculator

Answer:

the formula used gives surface area instead of volume

Answer:

A) One Solution

Step-by-step explanation:

3x + 4 = -x

4 = -4x

x = -1

y = 3(-1)+4

y = 1

One Solution

Answer:

Q'(1, -5)

R'(1, 1)

S'(5, -5)

Step-by-step explanation:

Since you're reflecting deflecting across x equals to 1 ,also our Q and R Coordinates are on the line x equals to 1 so it's going to stay same only the S coordinates would change. the X value for the coordinates gonna be +ve and Y value gonna be -ve. Because after the reflection of the point the point would lie in the fourth quadrant and in the Forth quadrant Xvalue is positive and Y value is negative.

Answer:

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

Step-by-step explanation: .

Answer:

πr

Step-by-step explanation:

We know the perimeter of the circle is 2πr , half the perimeter will be equal to ,

=> 2πr/2

=> πr

Answer:

Kai is right.

Step-by-step explanation:

Absolute Value is always positive.

Answer:

Kia is Right.

Step-by-step explanation:

14 always stay positive and when it is like -14, So -14 Is a negative number so just take out the negative sign and you well be all set.

Answer:

Function 1 has a greater slope

Step-by-step explanation:

Answer:

function 1 has a great slope

Answer:

I believe the answer is (A) 15.

Step-by-step explanation:

If she buys 15 pizzas and gives each student half a pizza, then that would be 30 halves. Meaning she needs to buy 15.

Answer:

Perimeter = 55.4

Step-by-step explanation:

8 + 8 + 8.7 + 8.7+ 11 + 11 = 55.4

Hope this helps!

Answer: rectangles all have two parralel sides and all they all have 4 right angles.

Step-by-step explanation:

Answer:

Kathleen, a professional golfer, had an average score last season

of 80 points. This season, her average score has been 72 points.

What is the percent of decrease in Kathleen's average score

Answer:

C

2/3 dividido 1/3 = 2

Step-by-step explanation: