An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the obtcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 6. Event B: The sum is divisible by 4. Write your answers as fractions. ​

The expected value of N will be given as:- Money =  N² -  5.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

It is given in the question that:-

So from the given information, the expression will be:-

N be a random variable that corresponds to your net winnings in dollars.

Money =  N² -  5.

From the above equation, we can calculate the amount earned by the spinner number that comes.

Therefore the expected value of N will be given as:- Money =  N² -  5.

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Hello! In this question, we are trying to solve the expression with a given value.

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Explanation:

In this question, we were given our f(x) equation: f(x) = x² - 3

We were also given the value of our variable "x": -3

To solve the expression, we would plug in our "x" value, -3, into the "x" variables in our expression and solve.

Solve:

f(x) = x² - 3

f(-3) = (-3)² - 3

= 9 - 3

= 6

Therefore, the value of f(-3) is 6.

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Answer:

f(-3) = 6

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To solve this problem, you will substitute an existing value into a function in order to find the y-coordinate at that x-coordinate.

Given the function f(x) = x² - 3, evaluate the function at f(-3) by substituting in x = -3:

[tex]f(-3) = -3^2-3[/tex]

Use BPEMDAS, which stands for:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First, evaluate -3².

[tex]-3\times-3=9[/tex]

Then, evaluate the rest of the expression by subtracting 3 from 9:

[tex]9 - 3 = \boxed{6}[/tex]

The final answer is f(-3) = 6.

Step-by-step explanation:

180 ° - 146°=34°

Where by isosceles triangle is 180

Answer: 15.9

Step-by-step explanation:

Answer:

[tex]\frac{3}{20}[/tex]

Step-by-step explanation:

slope/gradient=[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

                        =[tex]\frac{-9.75+9}{-1-4}[/tex]

                        =[tex]\frac{3}{20}[/tex]

The surface area of solid Y given the ratio of volume to surface area of solid X is 2,369.25cm²

Volume:

Surface area:

Ratio of volume to surface area of solid X and Y respectively

64 : 208 = 729 : x

64/208 = 729/x

64 × x = 208 × 729

64x = 151,632

x = 151,632 / 64

x = 2,369.25cm²

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A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The correct option is A, the difference between two cylinders with the same height and different radii.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Since the shape of a paper towel is like a cylinder, therefore, the composition that produces a solid with the same shape and dimensions as the roll of the paper towel is a difference between two cylinders with the same height and different radii.

Hence, the correct option is A.

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Answer:

464 units²

Explanation:

Part A

Length × Width = 8 × 16 = 128 units²

Part B

Length × Width = 24 × 8 = 192 units²

Part C

Length × Width = 12 × 4 = 48 units²

Part D

Length × Width = 24 × 4 = 96 units²

Total Area: 128 + 192 + 48 + 96 = 464 units²

Answer:

464 units²

Step-by-step explanation:

The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.

(see attached diagram)

Total area of the rectangle = width × length

                                             = 24 × (16 + 4 + 4)

                                             = 24 × 24     ← the shape is actually a square!

                                             = 576 units²

Missing Area 1

Top left square = 8 × 8

                         = 64 units²

Missing Area 2

Bottom right rectangle = 4 × 12

                                      = 48 units²

Total area = area of rectangle - missing area 1 - missing area 2

                 = 576 - 64 - 48

                 = 512 - 48

                 = 464 units²

Answer:

C) (3 , 2)

Step-by-step explanation:

y is greater than 2x - 7.

Note the point values (x , y). y, in this case, must be greater than x after it is simplified.

~

(3 , -2)

Plug in 3 for x, and -2 for y:

(-2) > 2(3) - 7

-2 > 6 - 7

-2 > -1

(False).

~

(4 , 1)

Plug in 4 for x, and 1 for y:

(1) > 2(4) - 7

1 > 8 - 7

1 > 1

(False).

~

(3 , 2)

Plug in 3 for x, and 2 for y:

(2) > 2(3) - 7

(2) > 6 - 7

2 > 1

(True).

~

∴ C) (3 , 2) is your answer.

~

Step-by-step explanation:

we have a right-angled triangle :

the Hypotenuse (baseline opposite of the 90° angle) is the 850 ft cable from the top of the tower down to the point on the ground 360 ft away from the tower.

then the ground distance (360 ft) and the height of the tower are the 2 legs.

so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse.

in our case

850² = 360² + height²

height² = 850² - 360² = 592,900

height = 770 ft

the tower is 770 ft tall.

Answer:

770 feet

Step-by-step explanation:

Given

Solving

Answer:

135 cubes

Step-by-step explanation:

Volume of cuboid :

Volume of a small cube :

Number of cubes :

Answer:

a) angle A = angle Z

angle B = angle X

angle C = angle Y

b) AB= ZX

AC=ZY

BC=XY

c) triangle CAB=YZX

hope it helps you

Answer:

1, 2, 3, 6, 13, 26, 39, 78

Step-by-step explanation:

The factors of a number are the numbers that "go into" 78 "evenly" that is, without a remainder. You can make a factor tree or divide to find the prime factors. Any combination "goes into" 78. That's why we'll include 6 and 26 on this list.

1×78

2×39

3×26

6×13

all make 78!

Answer:

46.77 cm

Step-by-step explanation:

Perimeter of the semicircle = Circumference + 2r

Answer:

why don't u send the pictures so I can help u out

[tex]~~~~~~~\cos 45^{\circ} = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \dfrac 1{\sqrt 2} = \dfrac{\sqrt 3}{x}\\\\\\\implies x = \sqrt 3 \cdot \sqrt 2\\\\\\\implies x = \sqrt {3 \times 2}\\\\\\\implies x = \sqrt 6[/tex]

Answer:

Step-by-step explanation:

Formula

speed = distance / time

Givens

speed = ?

distance = 162 miles.

Time = 3 hours.

Solution

speed = 162 / 3

speed = 54 miles per hour.

Vector components are expressed in the form (x, y). The measure of tan m given the coordinate Q is -√32/12

Vector components are expressed in the form (x, y). Given the  coordinates of point Q are (−12,√32), the measure of the angle is expressed as;

m = arctan(y/x)

m = arctan (-√32/12)

Take the tan of both sides

tan m = tan arctan(-√32/12)

tan m = -√32/12

Hence the measure of tan m given the coordinate Q is -√32/12

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Answer:

7.065 in^2

Step-by-step explanation:

Answer:

7.06858...in²

if we are using 3.14

7.065in²

Step-by-step explanation:

3 / 2 = 1.5

A = πr²

A = π(1.5²)

A = π(2.25)

A = 7.068in²

(if we are using 3.14 for pi)

A = πr²

A = 3.14(1.5²)

A = 3.14(2.25)

A = 7.065in²

Answer:

The given equation is expansion of (a-b)² = a²-2ab+b²

[tex]\sqrt{81-18\sqrt{7}+7} \\ \sqrt{ {9}^{2} -2 \times 9 \times \sqrt{7}+ { \sqrt{7} }^{2} } \\ \sqrt{ {(9 - \sqrt{7})}^{2} } \\ {(9 - \sqrt{7})}[/tex]

hope that help.

Answer:

[tex]9-\sqrt{7}[/tex]

Step-by-step explanation:

Given expression:  [tex]\sqrt{81-18\sqrt{7}+7}[/tex]

To simplify the given expression, use the "A minus B Whole Square" identity.

A minus B Whole Square identity

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Comparing  [tex]81-18\sqrt{7}+7[/tex]  to the right side of the identity:

Therefore:

[tex](9-\sqrt{7})^2=81-18\sqrt{7}+7[/tex]

Finally:

[tex]\sqrt{81-18\sqrt{7}+7}=\sqrt{(9-\sqrt{7})^2}=9-\sqrt{7}[/tex]

Step-by-step explanation:

Hello all beautiful your day

Answer:

0.96%

Step-by-step explanation:

We are looking for the percent that represents "6 out of 625"

Divide to find the decimal answer:

6/625 means

6 ÷ 625

= 0.0096

Then multiply by 100 to change to a percent.

0.0096 × 100

= 0.96%

Answer:

16 boys

Step-by-step explanation:

in ratio form girls are represented by 5 so if 5 equals to 20 what about 4 and that's how I got the answer good day.

The number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

Mixed numbers are the number which are used to write the whole number and the fraction number combined. As the whole number and fraction number are expressed together, thus these numbers are called mixed numbers.

Jeff is making a fruit salad. He has 1 1/3 cups blackberries. In the fractional number,

[tex]\text{Blackberries}=1\dfrac{1}{3}\\\text{Blackberries}=\dfrac{3+1}{3}\\\text{Blackberries}=\dfrac{4}{3}[/tex]

Jeff has 2 1/2 cups of strawberries. In the fractional number,

[tex]\text{strawberries}=2\dfrac{1}{2}\\\text{strawberries}=\dfrac{4+1}{2}\\\text{strawberries}=\dfrac{5}{2}[/tex]

Thus, the number of cups of blackberries does he have for every 1 cup of strawberries,

[tex]r=\dfrac{\dfrac{4}{3}}{\dfrac{5}{2}}\\r=\dfrac{4\times2}{3\times5}\\r=\dfrac{8}{15}[/tex]

Hence, the number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

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Answer:

21.25=4.25p

Step-by-step explanation:

Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her

strawberries. one pound of strawberries costs $4.25.

1/5

The equation to represent the situation is 4.25p=21.25.

Ms. Diaz buys 5 pounds of strawberries.

A mathematical statement that is made up of two expressions connected by an equal sign.

Given:

Mr. Diaz pays for strawberries = $21.25

price for one pounds = $4.25

Then,

Number of pounds * cost  = Total cost for strawberries.

p * 4.25 = 21.25

p = 21.25 / 4.25

p = 5

Hence, the equation that can represent 4.25p=21.25

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[tex]\huge{\color{magenta}{\fbox{\textsf{\textbf{Answer}}}}}[/tex]

x = -1

Step-by-step explanation:

[tex] \sf\frac{x}{x - 2} + \frac{x - 1}{x + 1} = - 1[/tex]

Taking LCM

[tex] \sf \hookrightarrow \frac{x(x + 1) + (x - 1)(x - 2)}{(x - 2)(x + 1)} = - 1 \\ \\ \sf \hookrightarrow \frac{ {x}^{2} + x + {x}^{2} - 3x + 2 }{ {x}^{2} - x - 2} = - 1 \\ \\ \sf \hookrightarrow \frac{2 {x}^{2} - 2x + 2 }{ {x}^{2} - x - 2 } = - 1[/tex]

Cross multiplying

[tex] \sf \hookrightarrow 2 {x}^{2} - 2x + 2 = - 1( {x}^{2} - x -2) \\ \\ \sf \hookrightarrow 2 {x}^{2} - 2x + \cancel2 = - {x}^{2} + x + \cancel2 \\ \\ \sf \hookrightarrow 3 {x}^{2} - 3x = 0[/tex]

Taking 3 common

[tex] \sf \hookrightarrow {x}^{2} - x = 0 \\ \\ \sf \hookrightarrow x(x - 1) = 0 \\ \\ \sf \hookrightarrow x - 1 = 0 \\ \\ \\ \green{\boxed{ \hookrightarrow x = 1}}[/tex]

Taking x as 1

[tex] \sf \implies\frac{x}{x - 2} + \frac{x - 1}{x + 1} = - 1 \\ \\ \sf \implies \frac{1}{1 - 2} + \frac{1 - 1}{1 + 1} = - 1 \\ \\ \sf \implies - 1 + 0 = - 1 \\ \\ \sf \implies - 1 = - 1[/tex]

Answer:

3/5+1/3= 9/15+5/15= 14/15

Step-by-step explanation:

Hi there!

To make fractions have a common denominator, multiply both the numerator and the denominator by a number. In this case, 3/5= 9/15, because both the numerator and denominator are multiplied by 3. 1/3= 5/15, using the same rule. 9/15+5/15=14/15

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Step-by-step explanation:

the original retail price was 120% of the manufacturer price (100% manufacturer price + 20% markup).

now, the whole retail price is reduced by 12%.

that means we have to subtract 12% from the 120%.

but careful, we cannot just do 120-12=108.

that is simply because these 120% are now for this calculation the new basic amount and therefore 100%.

we actually need to calculate and subtract 12% of 120 to get the new percentage over the manufacturer price.

we do this by multiplying 120 by (100-12)/100 = 88/100 = 0.88 :

120 × 0.88 = 105.6%

so, the new retail price is now only 5.6% over the manufacturer price.

Answer:

The store makes $21 per sweater.

This is the same as the constant of proportionality between the profit made and the number of sweaters sold.

Step-by-step explanation:

$286−$55

Total Profit=$231

Profit Per Sweater=11/$231

Profit Per Sweater=$21

If store buys 11 sweaters for $55 and sells them for $286 then the  store makes a profit of $21 per sweater.

To calculate the profit per sweater, you need to subtract the cost per sweater from the selling price per sweater.

Cost per sweater = Total cost / Number of sweaters

= $55 / 11

= $5

Selling price per sweater = Total selling price / Number of sweaters

= $286 / 11

= $26

Profit per sweater = Selling price per sweater - Cost per sweater

= $26 - $5

= $21

So, the store makes a profit of $21 per sweater.

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