Probability maths Please help

Step-by-step explanation:

The area of any 2-d quadrilateral is equal to the base of the shape times the height, though we can just sub in length and width here. The key bits of information here is the aspect ratio (4:3) and the given area (300 in^2).

So far this gives us L∗W=300in2

Now, the aspect ratio given implies for every 4 inches in length, there will be 3 inches in width. This allows us to factor out a 4 and a 3 from the Length and Width respectively and give them the same constant variable, like so:

4x∗3x=300in2

Now, some might be tempted to go ahead with 12x here, but let’s expand the left side out to see what’s really going on:

4∗x∗3∗x=300in2

From here, let’s resolve like terms Our constants will multiply together and give us 12, and x * x of course gives us x^2 to give us the following:

12x2=300in2

From here, simply divide through by 12 to isolate x on one side,x2=25

And finally take the square root of both sides to work out what your common factor is,

x=5

Now that we have out common factor, let’s plug it back into our original formula to find our Length and Width, like so.

(4∗5)in∗(3∗5)in=300in2

20in∗15in=300in2

Therefore, the Length of our rectangle is 20in, and the Width of our rectangle is 15in

Answer:

it is a function

because when we will draw vertical line . then the line will touch at only one point

Answer:

1 3/4 lbs of skittles

Step-by-step explanation:

Easy way: 3lbs - 1 1/4lbs = 1 3/4lbs

Complex way:

(I'm assuming "1/1/4" means "1 1/4")

This is simply ~Subtraction~

The total is 3lbs(t) and 1 1/4 of that 3lbs is gummy worms(g). What is left of the 3lbs is skittles(s).

So we need to know what added to 1 1/4 equals 3.

Equation: t= 1 1/4 + s

Equation: t= 1 1/4 + s

We can replace (t) with 3 because we know this variable.

1. 3= 1 1/4 + s

To isolate the variable (s) we need to subtract 1 1/4 on both sides of the equation

2. 3(- 1 1/4)= 1 1/4(- 1 1/4) + s

The right side cancels out = 0 and the left = 1 3/4

3. 1 3/4= s

Flip it around for the traditional view

4. s = 1 3/4

In word form: Skittles equal 1 3/4 (don't forget to add lbs or pounds back into the final answer)

Answer:

37

Step-by-step explanation:

LMN is one big line

LM=22

LM=15

LN=22+15=37

Answer:

LN = LM + MN = 37

Step-by-step explanation:

L————————-M———————-N

22. 15

L————————-37———————-N

Answer:

Step-by-step explanation:

There's a small trick here. You have to double the thickness. Why? Because the outside diameter goes through the thickness twice.

Inside diameter = outside diameter - 2 * thickness

outside diameter = 1 1/4 inches

thickness = 5/16

Inside diameter = 1 1/4 - 2 * 5/16

inside diameter = 5/4 - 10/16

Inside diameter = 5/4 - 5/8

Inside diameter = 10/8 - 5/8

Inside diameter = 5/8

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]

Answer: 1.5 miles per minute

Step-by-step explanation:

The ratio for the hours is 90 Miles : 60 Minutes

Since 1 hour is 60 minutes, then 1 minute is 1/60 of a hour.

So, 1/60 will be the constant.

[tex]\frac{90}{1/60}[/tex]=1.5

9514 1404 393

Answer:

  15 ft below the top of the water

Step-by-step explanation:

We can let distances "below the top of the water" be represented by negative numbers. Then the initial height of Jesse's hook was -12 ft. Adding line allowed his hook to sink further:

  -12 +(-3) = -15

The depth of Jesse's hook now is 15 feet below the water surface.

Answer:

assuming that this is just an algebra problem and not some graphing

problem that you are trying to fin the slope vale m in y-mx+b

-m/3 = -4

-m = -4*3

-m = -12

m=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the other end point be (a,b)

Then the midpoint p(0,-1) is between the two end points (-1,0) and (a,b)

So

(0,-1) = ( (-1+a)/2 , (0+b)/2)

So we have

0 = (-1 +a) /2

0 = -1 + a

a =1

and

-1 = (0+b)/2

-2 = 0+b

b = -2

So the other end point is ( 1, -2)

To find the distance between those two points you would need to

do, -6 - (8), which is -14, and than take away the minus sign, and the length of AB is 14 units.

Answer:

14 = AB

Step-by-step explanation:

When finding length, absolute value is the way to go! So if A is -6 and b is 8, then we need to find the distance between them. You can physically count on a number line like I see you did, which would be -5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8=14 numbers

or you can set up the expression---

| -6-8 |

which equals

| -14 |

or

14

because 14 is the same as | -14 |

Answer:

-220

Step-by-step explanation:

2,300-1 then we go into the negatives 0- -2,300

so if -5 is further from 0 than -4 that means the larger number is further

Answer:

1= 1 7/8 or 1.875

2= 235.75

3= 10 1/2 or 10.5

4=191.53

5=1 5/12 or 1.4166667

6=239.13

hope this helps

Answer:

1.

[tex] \frac{9}{4} [/tex]

2. 235.75

3.

[tex] \frac{21}{2} [/tex]

4. 191.53

5.

[tex] \frac{17}{12} [/tex]

6. 239.13

Step-by-step explanation:

1.

[tex]3 \times \frac{3}{8} - 1 \times \frac{1}{2} = 2 \times \frac{1}{4} or \: \frac{9}{4} [/tex]

2. 168.45 + 67.3 = 235.75

3.

[tex]6 \times \frac{3}{5} + 3 \times \frac{9}{10} = \frac{21}{2} [/tex]

4. 249.6 - 58.07 = 191.53

5.

[tex] \frac{5}{6} + \frac{7}{12} = \frac{17}{12} [/tex]

6. 334.16 - 95.03 = 239.13

Answer:

Answer: 3^-2

Step-by-step explanation:

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

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Evaluate the power

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

Divide

[tex]\frac{1}{9}[/tex]

0.0015 in scientific notation

= 1.5 × 10-3

1.5×10^3

hope i helped!

Answer:

y=95

Step-by-step explanation:

17x5=85

180-85=95

y=95

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.

∠1 = ∠3

5x° = 85°

x = 85° / 5

x = 17°

Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,

∠1 + ∠2 = 180°

5x + y = 180°

Substitute the value of x,

5(17°) + y = 180°

85° + y = 180°

y = 180° - 85°

y = 95°

Hence, the value of x and y is 17 and 95, respectively.

The complete question is mentioned below.

Learn more about Vertical Angles here:

https://brainly.com/question/24460838

#SPJ2

Answer:

208

Step-by-step explanation:

First term = a = 4

Common difference = d = a2 - a1 = 9 - 3 = 6

35th term = a + (35 - 1)d

4 + (35 - 1)6

4 + (34)6

4 + 204

208

Answer:

207

Step-by-step explanation:

An=A1+(n-1)×R

A35=3+(35-1)×(9-3)

A35=3+34×6

A35=3+204

A35=207

Answer:

Step-by-step explanation:

[tex] \frac{1}{7} \times x = 1[/tex]

[tex]7 \times \frac{1}{7} x = 7 \times 1[/tex]

[tex]7 \times \frac{1}{7} x = 7[/tex]

[tex]\boxed{\green{x = 7}}[/tex]

◇◇•◇◇

[tex]x \times \frac{1}{11} = 1[/tex]

[tex] \frac{1}{11} x = 1[/tex]

[tex]11 \times \frac{1}{11} x = 11 \times 1[/tex]

[tex]11 \times \frac{1}{11} x = 11[/tex]

[tex]\boxed{\green{x = 11}}[/tex]

♤♤•♤♤

[tex]1 \div \frac{1}{5} = 1 \times \frac{5}{1} [/tex]

[tex]1 \times 5[/tex]

[tex] \boxed{\green{= 5}}[/tex]

Answer:

X =8

Step-by-step explanation:

DF = DE + EF

15 = X+1 + X-2

16 = 2X

X = 8

Answer:

32.5cm

Step-by-step explanation:

Using the formula A=h_b*b/2

We get 5*13/2=32.5

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

Step-by-step explanation:

Hi! I'm happy to help!

To solve this, we first have to understand the terms and the way they arrange the equation.

First, we have the difference of ____and_____=. (the "is" after 4 refers to equals)

We will write this as:

_______-_______= ,because difference means subtraction.

For our first blank, we have 3 times a number. Because we do not know this number, we will use a variable.(n) 3 times a number is 3 multiplied by a number. We can just write 3n, because it represent multiplication.

3n-______=

Now, we see the part of the equation after the "and". We just see 4, so we can insert that here:

3n-4=

Now, we see what is shown after the "is".

We just have -19, so we can insert that here:

3n-4=-19

Now, let's solve (not sure if I need to):

To solve for n, we have to isolate it on one side of the equation. To do this, let's cancel out the -4 on the left side of the equation by adding 4 to both sides:

3n=-15

From here, we need to get rid of the 3 next to the n by dividing both sides by 3:

n=-5

So, we write it as 3n-4=-19, and n=-5.

I hope this was helpful, keep learning! :D

Answer:

b its a trinominal with a degree of 2

The polynomial, 3x - 4 + 5x², is a trinomial with a degree of 2.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

We have the polynomial,

3x - 4 + 5x²

To find the degree of a polynomial:

We take the highest powered variable, and the order of that variable is equal to the degree of the polynomial.

Here, the highest power is 2.

So, the degree is 2.

And the polynomial has three terms.

So, the polynomial is trinomial.

Therefore, it is a trinomial with a degree of 2.

To learn more about the Polynomials;

brainly.com/question/11536910

#SPJ5

Answer:

7x + 3

Step-by-step explanation:

old - new =

(4x**2 + 7x + 3) - (4x**2) = 7x + 3

Answer:

104 = -13 x -8

Step-by-step explanation:

The reason you got it wrong is, I'm assuming, because of the way you formatted it. Try this and see if it works.

Answer:

X=x=−5y/3

y=x=−5y/3

Step-by-step explanation:

2x+y/3⋅1/x−3y=1/3⋅1/2=x=−5y/3

Answer:

x = [tex]\frac{5}{7}[/tex] , y = - [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Given 2 equal matrices then the corresponding elements in each matrix are equal, then

2x + y = 1 → (1)

x - 3y = 2 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate y

6x + 3y = 3 → (3)

Add (2) and (3) term by term to eliminate y

7x + 0 = 5

7x = 5 ( divide both sides by 7 )

x = [tex]\frac{5}{7}[/tex]

Substitute this value into (1) and evaluate for y

[tex]\frac{10}{7}[/tex] + y = 1 ( subtract [tex]\frac{10}{7}[/tex] from both sides )

y = [tex]\frac{7}{7}[/tex] - [tex]\frac{10}{7}[/tex] = - [tex]\frac{3}{7}[/tex]