Professor Rosencrantz flips a fair coin once. Professor Guildenstern flips a fair coin three times. What is the probability that Professor Rosencrantz obtains more heads than Professor Guildenstern

Answer:

x = 8

Step-by-step explanation:

It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.

30 ÷ 25 = 1.2

Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;

1.2 (35) = 4x + 10

Simplify,

42 = 4x + 10

Inverse operations,

42 = 4x + 10

32 = 4x

8 = x

Answer:

Step-by-step explanation:

Use proportions to solve this and the similarity from smaller side to corresponding larger side:

[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:

1050 = 25(4x + 10) and

1050 = 100x + 250 and

800 = 100x so

x = 8

Answer:

(5, - 3 )

Step-by-step explanation:

Under a refection in the line y = x

a point x, y ) → (y, x ), then

(- 3, 5 ) → (5, - 3 )

The reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

The vector is (-3, 5)

The reflection line is y = x

The transformation rule:

(x, y) → (y, x)

(-3, 5) → (5, -3)

Thus, the reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).

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Answer:

Mean=2.53

median=2

mode=2

range=3

Step-by-step explanation:

1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4

MEAN

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

38/15=2.53

MEDIAN

Arrange data values from lowest to the highest value

The median is the data value in the middle of the set

If there are 2 data values in the middle the median is the mean of those 2 values.

MODE

Mode is the value or values in the data set that occur most frequently.

RANGE

18-15=3

Answer:

add 33 to both sides

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] x - 33 = 33 ( add 33 to both sides )

- [tex]\frac{1}{2}[/tex] x = 66 ( multiply both sides by - 2 to clear the fraction )

x = - 132

Answer:

First step is to make x the subject of the equation.

Step-by-step explanation:

[tex]-\frac{1}{2} x - 33 = 33\\\\-\frac{1}{2} x= 33 + 33\\\\-\frac{1}{2} x = 66\\\\- x = 2 \times 66 = 132\\x = -132[/tex]

Answer:

n = 6

Step-by-step explanation:

f(n) = 0 is on the n- axis at (6, 0 )

When f(n) = 0 then n = 6

Answer:

its do9ne

Step-by-step explanation:

Answer:

its the one next to the yellow one. hope it helps.

Step-by-step explanation:

The area of the base of the first sandbox is 64 square feet

Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.

The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.

The area of a square is given by the formula: A = s², where s is the length of one side of the square.

In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:

A = 8² = 64 square feet.

So, the area of the base of the first sandbox is 64 square feet

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Answer:

Check the explanation below please! :)

Step-by-step explanation:

"It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The color options for each item are: yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats        Pants

Y              Y

Y              G

Y              B

G              Y

G              G

G              B

B              Y

B              G

B              B

There are a total of 9 possible selections."

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Answer:

Step-by-step explanation:

Answer:

9.50x+130 > 700

Step-by-step explanation:

Answer:

9.50x+130> 700 I believe is the right answer.

Step-by-step explanation:

You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.

x equals how may hours

9.50x + 130 > 700

Answer:

[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]

Step-by-step explanation:

Simplify each term.

you are correct

Step-by-step explanation:

mark me as a brainlist

Answer:

[tex]2\sqrt{2} \text{ mi}[/tex]

Step-by-step explanation:

See the attached image for a picture of the situation.  The angle of depression lets you find the angle next to it but inside the triangle.  It, too, must measure 45 degrees.

That means the triangle is an isosceles triangle (two legs of equal length).

Apply the Pythagorean Theorem.

[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]

Answer:

1 hour or 60 minutes.

Answer:

slope=y2-y1/x2-x1

=-5+5/7-2

=0/5

=0

Step-by-step explanation:

Answer:

For #7, the answer is 30.3 yd

For #8, the answer is 32.34 in

For #9, the answer is 56.26 ft

Explanation: The formula for an area of a parallelogram is ( A=bh)

Hope that helped!!

Answer:

[tex]\huge\boxed{Law \ Of \ Sines \hookleftarrow}[/tex]

[tex]\huge\bold{\frac{a}{ \sin (A)} = \frac{b}{ \sin \: (B) } = \frac{c}{ \sin \:( C) }} [/tex]

➟ In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

angle R = 37

angle Q= 114

angle p = 29

Step-by-step explanation:

(3x+3) +(x-8) +(x) =180

5x-5=180

x=185/5

x=37

Answer:

16 ft

Step-by-step explanation:

Area = Side^2 = (s)^2 = 256, Side = 16.

So, 16 ft.

Mark this as Brainliest if this was correct! I really appreciate it! :D

Answer:

16ft

Step-by-step explanation:

Answer:

It is C.

First of all, we can see that angle 1 is 132 degrees because they are the same angles/measurements. Therefore, angle 1 and angle 3 are also supplementary as they create a straight line, or 180 degree angle. As they are supplementary, angle 1 + angle 3 = 180. We know that angle 1 is 132, so we have 132 + angle 3 = 180, and angle 3 is 42 degrees.

Answer: the answer is either e or d but I guessed d

Step-by-step explanation:

The equivalent set to set S will be {12, 16, 20, ..., 36} thus, option (E) is correct.

A set is a collection of distinct values where each variable's meaning must be the same.

For instance, the set of natural numbers 1, 2, 3, 4, 5, and 6 is made up of variables that each represent a different natural number.

As per the given,

x is the multiple of 4,

4,8,12..

But is it restricted in the domain as, 9 ≤ x < 37

Thus, {12, 16, 20, ..., 36} will be correct.

Hence "The equivalent set to set S will be {12, 16, 20, ..., 36}".

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Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5

Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5

Answer:

12 ft by 15 ft

Step-by-step explanation:

set up a proportion of inches over feet equals inches over feet:

.5/10 = .6/x

cross-multiply to get:

.5x = 6

x = 12

.5/10 = .75/y

cross-multiply to get:

.5y = 7.5

y = 15

Answer:

∴[tex]Cos A=\frac{AC}{AB}[/tex]

➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]

➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]

➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]

➛ [tex]x=18[/tex] ✓

➛[tex]AC=18[/tex] ✓

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

hope it helps...

have a great day!!

Answer:

C. 8.66 in

Step-by-step explanation:

Using the formula of circumference of a circle

[tex]2\pi \: r [/tex]

then,

first find r by plagging in the given data.

so, r = 4.33 in

since it's diameter needed, then

r + r = d

4.33 in + 4.33 in = 8.66 in

Answer:

t = 59°

Step-by-step explanation:

t and 59° are vertically opposite angles and are congruent , so

t = 59°

Answer:

3 and 5 show how to convert 18 inches into yards

Answer:

Numer 3 and number 5.

Answer:

x = -4

Step-by-step explanation:

-18 = 6+6x

-18 -6 = 6x

-24 = 6x

-24/6 = x

x = -4

Checking Part:

-18 = 6 + 6x

-18 = 6 + 6(-4)

-18 = 6 -24

-18 = -18

Answer:

-4

Step-by-step explanation:

Subtract 6 to get X by itself and that leaver you with - 24=6x now divide by 6 to get x=-4

Hope this helps

Answer:

meter probably

Step-by-step explanation: