(x-5)^2 - (x+1)^2+ (x+3)*(x-3)

Answer:

The margin of error associated with a 90% confidence interval that estimates the proportion of them that are involved in an after school activity is 0.0764.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

A simple random sample of 49 8th graders at a large suburban middle school indicated that 88% of them are involved with some type of after school activity.

This means that [tex]n = 49, \pi = 0.88[/tex]

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.645\sqrt{\frac{0.88*0.12}{49}}[/tex]

[tex]M = 0.0764[/tex]

The margin of error associated with a 90% confidence interval that estimates the proportion of them that are involved in an after school activity is 0.0764.

Answer:

49 bricks

Step-by-step explanation:

because it's getting smaller my 4

Answer:

1. x=1

2. x=0

Download gauthmath and it will help

Recall that

cos²(x) + sin²(x) = 1

Then in the equation

1 - cos(x) = 2 - 2 sin²(x)

we can rewrite as

1 - cos(x) = 2 (1 - sin²(x))

1 - cos(x) = 2 cos²(x)

2 cos²(x) + cos(x) - 1 = 0

Factorize the left side as

(2 cos(x) - 1) (cos(x) + 1) = 0

so that

2 cos(x) - 1 = 0   or   cos(x) + 1 = 0

cos(x) = 1/2   or   cos(x) = -1

On the interval (-π, π) (note that this interval is open, so we don't allow x = π), we have

• cos(x) = 1/2 for x = π/3 and x = -π/3

• cos(x) = -1 for x = π

Answer:

[tex]cos\Theta =\frac{adj}{hyp}[/tex]

[tex]cos 32=\frac{12}{x}[/tex]

[tex]x=12/cos32[/tex]

[tex]=14.2[/tex]

[tex]OAmalOHopeO[/tex]

Answer:

[tex]\huge\boxed{x=14.2}[/tex]

Step-by-step explanation:

Use a cosine:

[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]

We have:

[tex]adjacent=12\\hupotenuse=x\\measure\ of\ angle=32^o[/tex]

Look at the picture or use the calculator.

[tex]\cos32^o=0.8480[/tex]

Substitute:

[tex]0.848=\dfrac{12}{x}\\\\\dfrac{0.848}{1}=\dfrac{12}{x}[/tex]

cross multiple

[tex]0.848x=12[/tex]

divide both sides by 0.848

[tex]x=\dfrac{12}{0.848}\\\\x=14.2[/tex]

Answer:

this was from plato

Step-by-step explanation:

Answer:

Any point on the circle must be at a distance from the center equal to the length of the circle’s radius. In this example, the radius is 3.61 units, AC = 4.24, and AD = 3.61. Point D, which lies on the circle, has the same distance from the center as the length of the radius. Point C, which lies outside the circle, is at a different distance from the center than the length of the radius.

Answer:

(–1, –1), (0, 0), (1, 1), (2, 8)   (y = x^2)

(–1, 1), (0, 0), (1, 1), (2, 4)   (y = x^3)

Answer:

C

Step-by-step explanation:

Answer:

x is ten

Step-by-step explanation:

9 times ten is 90, then minus 40 is 50, and 3 times ten is 30, plus 20 is 50

Answer:

(2.236067978)(2.236067978)

=5 ans.

If this is incorrect forgive me

I hope this will help you

stay safe

Answer:

These kind of questions are called simply.

According to simply, there's a rule of solving which is BODMAS.

BODMAS stand for bracket of Divide, Multiple, Add, Subtraction.

> (9)2-4

> 18-4

> 16

• (6+3)2-4 = 16

2. 23+(14-4)÷2

> 23+10÷2

> 23+5

> 28

• 23+(14-4)÷2 = 28

Step-by-step explanation:

Hope it helps you

A

Steliên hợp p-by-step explanaliên hợp ion:

Answer:

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

[tex]2 * \pi * 3 * \frac{20}{360}[/tex]

120[tex]\pi[/tex]/360 = [tex]\frac{\pi }{3}[/tex]

Step-by-step explanation:

Answer:

45/139 green or 20/139 yellow

Step-by-step explanation:

1. Add up total number of candles- thats your denominator

2. The total number of green or yellow candles is your numerator

3. Simplify your fractions if you have to

Answer:

24 + 28 + 21 + 23 = 96

step by step follow

Answer:

24x^4

Step-by-step explanation:

((2x²) (3x) (4x)

Add the exponents when multiplying

2*3*4 x^(2+1+1)

24x^4

The given tax rates are as follows:

Single Taxpayers: Income Brackets

Tax Income          Rate Bracket             Tax Owed              

O to 9,525          10%                     10% of taxable income

9,526 to38,700    12%                $952.50 plus 12% of  38,700 the excess                                                                                        over

$38,701 to 82,500  22 %                $4,453.50 plus 22% of 38,701                                                                                     the excess over

82,501 to 157,500     24%    $14,089.50 plus 24%  of the excess over

                                                                 157,500

157,501 to  200,000     32%     $ 32089.50  plus 32% of the excess over

200,001 to   500,000     35%      45,689.50 plus 35% of the excess over

500,000 >                37%         $150,689.50 plus 37% of 500,000 of the    

                                                               excess over

The taxable income lies in the tax rate range of   $38,701 to 82,500.

Therefore the tax would be  

 $4,453.50 + 22% of (39,000-38,701=299)

 $4,453.50 + 22% of 299

 $4,453.50 + 65.78

= $ 4519.28

The taxable income lies in the tax rate range of  $38,701 to 82,500.

Due and effective tax rate is $4,453.50 plus 22% of 38,701 the excess over

The calculated tax is $ 4519.28

https://brainly.com/question/1105919

https://brainly.com/question/1160723

Answer:

$4,519.50 and 22%

Step-by-step explanation:

i got it right

Answer:

hope it was helpful!! You are welcome to ask any question

Answer:

Step-by-step explanation:

1) 7 - ( 3+4) = 7 + [- (3+ 4)] =  7 + (-3) + (-4)    

(-) is distributed to 3 and 4

A

2) C

I (-3) -  4 I

3) 5 + 3 = 8 miles

B

Answer:

Gradient or slope at x=1 is -3

Step-by-step explanation:

[tex]y=x^2-5x+6\\\frac{dy}{dx} =2x-5\\at ~x=1\\\frac{dy}{dx} =2(1)-5=-3[/tex]

Answer:

Step-by-step explanation:

Correct choice is B

Answer:

B. 3i√3

Step-by-step explanation:

[tex]\sqrt{-27} = \sqrt{-1*3*3*3}=3\sqrt{-1*3}[/tex]

we have

-1=i²

so

=[tex]3\sqrt{i²*3}[/tex]

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

Option B.3i[tex]\sqrt{3}[/tex]

The reasonable estimate for the solution is (2.29, -4.87)

The reasonable estimate for the solution is the point where the two lines intersect each other.

To get the point where they intersect, we will simply equate the system of equations given as shown:

[tex]-3x+2=\frac{1}{2}x-6\\Collect \ the \ like \ terms\\-3x-\frac{1}{2}x=-6-2\\\frac{-7x}{2}=-8\\-7x=-16\\x=\frac{16}{7} \\x=2.29[/tex]

Substitute x = 2.29 into any of the equation

Using the equation y = -3x+2

y = -3(2.29)+2

y = -6.87+2

y =-4.87

This shows that the reasonable estimate for the solution is (2.29, -4.87)

Further explanation about the system of equations can be found here https://brainly.com/question/19713330

The point of intersection of the linear equations is approximately [tex](x,y) = (2.286, -4.857)[/tex].

The most quickest approach that offers a reasonable solution consist in representing both linear functions graphically by means of a graphing tool (i.e. Desmos). As there is a system of two equation and two variables, the system can be represented by 2D-graphing tool.

The solution of this system is represented by the point, in which both lines intercepts each other. Let be the following two linear functions:

[tex]y = 3\cdot x + 2[/tex] (1)

[tex]y = \frac{1}{2}\cdot x - 6[/tex] (2)

The result from graphic tool is presented below and the point of intersection is approximately [tex](x,y) = (2.286, -4.857)[/tex].

Answer: A. 3/5

Step-by-step explanation:

Assuming that they are colorful blocks,

Blue blocks: 1, 2

Even blocks: 2, 4, 6, 8, 10

The net total of blue and even blocks:

However, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.

We analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}[/tex]  .

Use distributive property.

[tex]\frac{1}{2}ab*(3a^{2}-5b^{2}a+10a^{2}b)=\frac{1}{2}ab*3a^{2}-\frac{1}{2}ab*5b^{2}a+\frac{1}{2}ab*10a^{2}b\\\\\\[/tex]

                                         [tex]=\frac{3}{2}a^{1+2}b -\frac{5}{2}a^{1+1}*b^{1+2}+5*a^{1+2}*b^{1+1}\\\\\\=\frac{3}{2}a^{3}b-\frac{5}{2}a^{2}b^{3}+5a^{3}b^{2}[/tex]

[tex]\bf \rightarrow \:(5 {x}^{2} - x - 3) \: \: (2x + 6) \\ \\ \bf \small \rightarrow \:10 {x}^{3} - 2 {x}^{2} - 6x + 30 {x}^{2} - 6x - 18 \\ \\ \bf \rightarrow \:10 {x}^{3} + 28 {x}^{2} - 12x - 18[/tex]

༆ Option D is the correct answer༆

Answer:

E ||M

Step-by-step explanation:

This is based upon the postulate if A=B and B=C then A=C. picture it like this, you have 3 lines. The top and middle are parallel. The bottom and middle are parallel. so obviously the top and bottom are too

Answer:

l || m

Step-by-step explanation: