Simplify:

6−4(3x−2)+4x


16x−2

−8x+14

−8x−2

Part (a)

The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26

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Part (b)

Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3

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

Part (c)

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.

Answer:

Step-by-step explanation:

[tex] \sqrt[3]{64} [/tex]

[tex] = \sqrt[3]{4 \times 4 \times 4} [/tex]

= 4 (Ans)

Answer:

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

[tex]x(a-b)=a(b-x)\\\\x(a-b)=ab-ax\\\\x(a-b)+ax=ab\\\\x(a-b+a)=ab\\\\x(2a-b)=ab\\\\\\x=\dfrac{ab}{2a-b} \ if\ 2a-b\neq 0[/tex]

Answer:

[tex]{ \sf{x(a - b) = a(b - x)}} [/tex]

Open the brackets:

[tex]{ \sf{ax - bx = ab - ax}} \\ { \sf{2ax - bx= ab }}[/tex]

Factorise out x:

[tex]{ \sf{x(2a - b) = ab}} \\ { \sf{x(2a - b) = ab}} \\ { \sf{x = \frac{ab}{2a - b} }}[/tex]

Answer:

Step-by-step explanation:

D

Step-by-step explanation:

Jdnskdjendkdjd ndjwudjf

Answer:

SOH-CAH-TOA

TAN(30) = 3/x

[tex]x=3\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

underoot 27....or 5.3(approx )or 3_/3

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

x = 0.5 to the nearest 1/10.

Step-by-step explanation:

3^-x = x^3 + x

y = x^3 - 3^-x + x = 0

Using a graphing calculator to draw the graph of the above:

The graph crosses the x-axis at x = 0.4798

Answer:

x≈ .5

Step-by-step explanation:

x ≈ 0.479822322350589

Rounding to the nearest tenth

x≈ .5

There is either an error in the equation or the solution key

Answer:

8 cups

Step-by-step explanation:

1 cup = 2/3

so,2/3 x 12 = 8 cups

Answer:

8 cups

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

point A(x,y) becomes A'(-x,-y).

So point E (-3,-5) becomes  E'( 3,5)

F (-1,-1) becomes F'(1,1)

and G (0,-5) becomes G'( 0,5)

A two-way table is such that has two categorical variables and as such, the data are presented in rows and columns.

The correct row and column headings for the given dataset are:

Column: above 60°F, below 60°F, Row: sunny, not sunny

Given that:

[tex]Above\ 60^oF=14[/tex]

[tex]Below\ 60^oF=17[/tex]

[tex]Sunny = 19[/tex]

The two-way table would have the following representations;

The following representations are also possible

Base on the above representations, we can conclude that options (b) is true

Read more about two-way tables at:

https://brainly.com/question/20608299

Answer:

34

Step-by-step explanation:

This is because you will have to simply divide 782 by 23.

782 / 23 =

34 :D

Answer:

9.6kg

Step-by-step explanation:

If the mean mass is 2.1 we can count the mass of these six pumpkins

the total mass of the pumpkins divided by the quantity of them is equal 2.1

TO find the mass multiply 2.1 by the quantity of them (6)

2.1*6=12.6 - the summary weight of six pumpkins

12.6-3=9.6 - the remainder after using the heaviest pumpkin

Answer:

6

Step-by-step explanation:

"Index" is another name for exponent.

Answer:

x^2 + 13x + 2

Step-by-step explanation:

The perimeter is all of the sides added up.

11 + 3x + x^2 + 2 -(-6x+5) + 2/5(10x-15)

11 + 3x + x^2 + 2 + 6x -5 + 4x - 6

x^2 + 13x + 2

Basically, we combine like terms and you will get a final answer of:

x^2 + 13x + 2.

This is the simplified expression! I hope this helped.

Answer:

8 hours 10 minutes

I hope this answers your question

Answer: paul has been away from home for 7 hours and 50 minutes.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(5x -2y) / y

Let x = -4 and y = -4

(5*-4  - 2*-4) / -4

(-20 +8) / -4

-12/ -4

3

Hey there!

5x - 2y / y

= 5(-4) - 2(-4) / -4

5(-4)

= -20

(2)(-4)

= -8

= -20 - (-8) / -4

= -20 + 8 / -4

-20 + 8

= -12

= -12 / -4

= 3

Therefore, your answer is: 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

we will solve this question according to BODMAS rule...

B for bracket

O for of

D for division

M for multiplication

A for addition

S for Subtraction

10+4-4

14-4

10 Answer..

Answer:

10

Step-by-step explanation:

Using order of operations as stated in PEMDAS , that is

division is performed before addition/ subtraction , then

10 + 8 ÷ 2 - 4

= 10 + 4 - 4

= 14 - 4

= 10

Answer:

Step-by-step explanation:

Question 5

Part A

if Sin(x) = - 3/5  and tan(x) < 0

you are told 3 things

tan(x) = Sin(x)/cos(x)

tan(x) = -3/5 // 4/5

Tan(x) = -3/4

Part B

cos(2x) = cos^2(x) - sin^2(x)

cos(2x) = (4/5)^2 - (-3/5)^2

cos(2x) = 16/25 - 9/25

cos(2x) = 7/25

Part B

x + y = 90

sin(x +y) = 1

Sin(x - y) =

Sorry can't do this part. I don't know what this is equal to.

Step-by-step explanation:

The program I used tells me the lengths, though I could use the law of cosines or Pythagoras's Therom for this.

AB: 2

BC: 3

AC: About 3.61

Also, point A is (-2, 4), point B is (-2, 2), and point C is (1, 2)

Hope this helps!

Answer:

tax=31.83 and total=278.67

Step-by-step explanation:

310.50×10.25/100

Tax=31.83

Total=310.50-31.83

=278.67

Answer:

A

For something to be a function every x value bust have at most 1 y value and in A 9 has 2 y values so it cant be a function

Answer:

48 minutes

240 at 60mph = 4 hrs.

240 at 50 mph = 4.8 hrs.

it would take an extra 60*.8 or 48 minutes

Step-by-step explanation:

The trip will be of 48 minutes longer when the speed is decreased by 10 miles per hour.

What is the formula for time?

The time is given by distance/speed. The unit of time is minutes or seconds.

When distance of 240 miles is cover by the speed of 60 miles per hour then the time take to travel this distance will be 240/60=4 hours

When distance of 240 miles is cover by the speed of 50 miles per hour then the time take to travel this distance will be 240/50=4.8 hours

The difference between 4.8 hours and 4 hours is of 0.8 hours or 0.8*60=48 minutes.

Therefore, the trip will be of 48 minutes longer.

Learn more: brainly.com/question/21061928

#SPJ2

Answer:

100 degrees

Step-by-step explanation:

We can start by finding angle y, which is supplementary to 160.

180-160=20

angle y = 20 degrees.

With that, we can find angle w using the interior-exterior sangle theorem (or whatever name you use for it) which states that "the measure of an exterior angle of a triangle equals the sum of the measures of two remote interior angles". In other words:

angle w = angle y + 80

angle w = 20+80

angle w = 100.

The final answer is 100 degrees.

I hope this helped! :D

Answer:

Hello,

w=100

Step-by-step explanation:

y=180-160 (angles supplementaries)

y=20

w is a externel angle of the triangle is equal to the sum of non adjacents angles:

w=80+20=100

Answer:

You ordered 5 tickets for a show on line...

The cost was $5 a ticket Plus a one time ordering fee of $15.

you total cost was $45 ....

Solving for x will determine the cost of one ticket

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a taxi charges $5 a mile plus $15 "pull fee" ...

you ride cost a total of $45 ... x is the number of miles that you got driven

Step-by-step explanation:

You rent a car for a down payment of $15 and $5 is charged per mile driven. The total charge is therefore, $45. In essence, x is the no. of miles driven.

According to the question;

In essence, x is the no. of miles driven in this scenario.

By solving for x in 5x + 15 = 45, we may determine the no. of miles driven.

Read more:

https://brainly.com/question/2319353

Step-by-step explanation:

volume of triangular prism= area of cross section *length

volume of triangular prism= area of cross section *lengthv=(1/2bh)l

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40 =(1/2*5*7)40

volume of triangular prism= area of cross section *lengthv=(1/2bh)lv=?,b=5,h=40 =(1/2*5*7)40 =(35/2)40

=17.5*40

=700cm³

The volume of triangular prism is 700cm³

Answer:

Step-by-step explanation:

Good luck

Answer:

[tex]3\sqrt{3}[/tex]

[tex]\left(\frac{\left(6\cdot \:\:\:sin\left(30\right)\right)}{sin\left(90\right)}\right)^2+x^2=36[/tex]

Step-by-step explanation:

Answer:

8a^3-64p^3-36a^2+54a-27

Step-by-step explanation:

since it no common variable so it can not be further solved

The ratios of oxygen atom and sulfur atom is an illustration of equivalent ratios.

There are 12 oxygen atoms, when the number of sulfur atom is 6.

From the diagram, we have:

[tex]S = 1[/tex]

[tex]O_x = 2[/tex]

So, the ratio is:

[tex]S : O_x = 1 : 2[/tex]

When there are 6 sulfur atoms, the equation becomes

[tex]6 : O_x = 1 : 2[/tex]

Express as a fraction

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

Multiply both sides by 6

[tex]O_x = 2 \times 6[/tex]

[tex]O_x =12[/tex]

Hence, there are 12 oxygen atoms

Read more about equivalent ratios at:

https://brainly.com/question/18230617

Answer:

12 pounds of Kenyan French Roast coffee

8 pounds of Sumatran coffee

Step-by-step explanation:

if you use x pounds of Kenyan French Roast coffee and y pounds of Sumatran coffee then you know that

11x + 10y = 10.6 * 20

x+y=20

10x+10y=200

11x+10y=212

x=12

y = 20-x = 20-12 = 8

so you want to use

12 pounds of Kenyan French Roast coffee

8 pounds of Sumatran coffee

Answer:

4.107

Step-by-step explanation:

115/28=4.107