Factor completely x^2 - 81

Answer:

0.0250047

Step-by-step explanation:

Given that :

Proportion who need correction glasses = 70%

Number of trials = 7

Probability that exactly 2 needs correction glasses :

Using a binomial probability formula :

P(success) = p = proportion who need glasses = 0.7

P(x =x) = nCr * p^x * (1 - p)^(n - x)

P(x = 2) = 7C2 * 0.7^2 * 0.3^(7 - 2)

P(x = 2) = 7C2 * 0.7^2 * 0.3^5

P(x = 2) = 21 * 0.49 * 0.00243

P(x = 2) = 0.0250047

first of all, lets set up the equation

3x + 2y = 31

9x + 8y = 103

+--------------------

now make them equal

12x + 8y = 124

9x + 8y = 103

+----------------------

x=7

y=5

it's d just put them together to equal y

Answer:

The answer is D, lll only.

Step-by-step explanation:

Just took the test on e d g e!

The statement that most directly applies to capitalism is III only.

Option D is the correct answer.

It is a system of the economy where means of production and distribution are owned by the private, not the government.

We have,

The economic system of capitalism is characterized by private ownership of the means of production and distribution of goods and services, as well as the profit motive as the driving force behind economic activity.

Based on this definition, statement III most directly applies to capitalism, as it highlights the central role of market forces in determining prices and availability of goods.

On the other hand,

Statement I, which suggests heavy government regulation of the industry, is not a typical feature of capitalism, as it implies a more interventionist approach by the government in the economy.

Capitalism generally favors a more limited role for the government in economic affairs, although some government regulations may still be present.

Statement II, which suggests that individuals can start some, but not all, kinds of enterprises, is also not a defining characteristic of capitalism.

In a capitalist system, individuals are generally free to start any kind of enterprise that they wish, provided they can obtain the necessary resources and meet any legal or regulatory requirements.

Therefore,

The statement that most directly applies to capitalism is III only.

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Answer: James earns $50 more in commission than Rhoda for each laptop sold.

Step-by-step explanation:hope it helps

James earned $50 more than Rhoda.

A collection of information obtained through measurements, study, observations, or analysis is referred to as data. Facts, numbers, names, figures, or even descriptions of things may be included. In the form of graphs, charts, or tables, data is arranged.

Basic facts and entities like names and numbers are referred to as data. Weights, costs, sales volume, employee names, product names, addresses, tax identification numbers, and registration marks are just a few types of data.

Given:

In one month, Rhoda earns $2000 in commission for selling 10 laptops.

For, one laptop = 2000/10

                         = 200

Now, as from the graph

In one month, James earns $2500 in commission for selling 10 laptops.

For, one laptop = 2500/10

                         = 250

So, James earned $50 more than Rhoda.

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Answer:

C.

X = -5

Step-by-step explanation:

Step-by-step explanation:

or, 2x° + (3x +5)° = 90° [ Complementary angles]

or, 5x° + 5 = 90°

or, 5x° = 90°- 5

or, x = 85/5

: x=17°

Answer:

11 boxes

Step-by-step explanation:

14 didived by 4 is 10.25 so if you round you should get 11 .

Answer:

4, If you round.

Step-by-step explanation:

If you divide the 14 by 4, you get 3.5 and you can't really break the box in half.

So, you would have to use 5.

Answer:

7 6/7 or 7.8571429

Step-by-step explanation:

The simplest form of the given expression (3/7) x (2/3) is 2/7.

The expression is given as:

(3/7) x (2/3)

The numerator will be 3 x 2 = 6, and the denominator will be 7 x 3 = 21.

So, the simplified form of (3/7) x (2/3) is 6/21.

However, we can further simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3.

Dividing 6 and 21 by 3 gives us 2 and 7 respectively.

Therefore, the simplest form of (3/7) x (2/3) is 2/7.

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Answer:

If Tim actually earned 62 points . Therefore Tim's percent error is 58.1 % .

Step-by-step explanation:

Answer:

1.03

Step-by-step explanation:

i multiplied 14.68×.07

hope this is correct and helps

Answer:

1.03

Have a good day! :)

Answer:

x = 2

AB = 14

DC = 14

Step-by-step explanation:

If opposite sides are congruent, then:

AB = DC

AB = 3x + 8

DC = x + 12

Thus:

3x + 8 = x + 12

Collect like terms

3x - x = -8 + 12

2x = 4

Divide both sides by 2

x = 2

AB = 3x + 8

Plug in the value of x

AB = 3(2) + 8 = 14

DC = x + 12

Plug in the value of x

DC = 2 + 12 = 14

Answer:

its 24x trust me I did this

Answer:

$20 bills = 310,  $10 bills = 190

Step-by-step explanation:

To solve this problem, we must make a system of equations

Let x = the number of $20 dollar bills and let y = the number of $10 dollar bills

A $20 bill is 20 dollars and a $10 dollar bill is 10 dollars. The money added together will equal $8100, so an equation for this would be:

20x + 10y = 8100

The number of 20 dollar bills and 10 dollar bills added together will be 500 bills, so that equation would be:

x + y = 500

Now we have our system of equation! To solve this, we will use substitution.

If x + y = 500, then x = 500 - y.

We can substitute this into x in the first equation.

20x + 10y = 8100 will become:

20(500 - y) + 10y = 8100

10000 - 20y + 10y = 8100

10000 - 10y = 8100

We can add 10y to both sides and subtract 8100 from both sides

1900 = 10y

Now divide both sides by 10.

190 = y

There are 190 10 dollar bills.

Plugging this value into the equation, we have:

x + y = 500

x + 190 = 500

Subtract 190 from both sides

x = 310

There are 310 20 dollar bills

Answer: Graph A and Graph C hope this helps

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

They both pass though the origin.

Answer:

F

Step-by-step explanation:

Ghstgnmootfwr

Answer:

7?

Step-by-step explanation:

Steps:

See attachment.

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

For more steps and graph see the attachment.

Answer: k=−x

Hope this helps.

Answer:

The null hypothesis would be

H0: μ1=μ2=μ3     (all the means of the three sites are equal)

Step-by-step explanation:

Site I          Site II          Site III

28                47               46

54                22               27

44                65               40

16                 56               22

21                 17                58

36

The null hypothesis would be

H0: μ1=μ2=μ3     (all the means of the three sites are equal)    against the claim

Ha:  μ1≠μ2≠μ3  (all the means of the three sites are not equal)

Which if H0 is true, has an F -distribution with v1=k-1 and v2= n-k degrees of freedom.

ANOVA (one way of analysis of variance ) can be applied to test this hypothesis.

The bounded region in question is a triangle in the second quadrant. The line y = 2x + 6 has intercepts (0, 6) and (-3, 0), so revolving the triangle about the x-axis forms a cone with height 3 and whose circular base has radius 6. Its volume would then π/3 • 6² • 3 = 36π ≈ 113.1 units³.

But you're probably supposed to use calculus. Using the disk method, the integral for the volume is

[tex]\displaystyle V=\pi\int_{-3}^0 (2x+6)^2\,\mathrm dx[/tex]

[tex]\displaystyle V=\pi\int_{-3}^0(4x^2+24x+36)\,\mathrm dx[/tex]

[tex]V=\pi\left(\dfrac43x^3+12x^2+36x\right)\bigg|_{-3}^0=\boxed{36\pi}[/tex]

as expected.

Answer:

y=9x+18

Step-by-step explanation:

to get 9, use the rise over run way. Using that, I got 9/1, which is equivalent to 9. Then you MUST add x after, so then you get 9x. The last number is always the y intercept, or where the line meets the vertical line.  That was 18.

Hope I helped :)

Answer:

The Formula D 16t 2

The formula s=16t^2 is used to approximate the distance s, in feet, that an object falls freely from the rest in t seconds. The height of a building is. The formula s=16t^2 is used to approximate the distance s, in feet, that an object falls freely from the rest in t seconds.

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

Multiply -1 by -8

Answer:

30 degrees

Step-by-step explanation:

Keep this in mind, ALL triangles must equal 180 degrees.

This is an acute triangle, hence one of the angles is 90 degrees. To find the other two angles, we must solve for x. Since we know the sum of all angles in this triangle must equal 180 degrees, we know for setting up our equation, all the angles should equal 180.

[tex]90 + (x+37) + (x+67) = 180\\[/tex]

Now solve for x by isolating x

[tex]2x + 194 = 180\\2x=-14\\x=-7[/tex]

Our x is -7, now that we know that the numerical value of x is -7, replace x with -7 for angle A.

-7 + 37 = 30

<A is 30 degrees.

Check your work

Plug in -7 where you see x.

[tex]90 + (x+37) + (x+67) = 180\\90 + (-7+37) + (-7+67) = 180\\90 + 30 + 60 = 180\\180 = 180[/tex]

Turns out this was a 30-60-90 triangle. ✅

Answer:the answer is 66.98

Step-by-step explanation:

Answer: its b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Answer: -6

Step-by-step explanation: 8-2= 6 and 3-4= -1. So 6/-1 is -6