Factor completely
2n^2+ 5n + 2

Answer:

Height of the building is 40 feet

Step-by-step explanation:

From the figure attached,

Height of the person DE = 5 feet

Let height of the building BC = h feet

Since, ΔABC ~ ΔADE,

Their corresponding sides will be proportional,

[tex]\frac{DE}{BC}=\frac{AD}{AB}[/tex]

[tex]\frac{5}{h}=\frac{13}{104}[/tex]

h = [tex]\frac{104\times 5}{13}[/tex]

h = 40 feet

Therefore, height of the building is 40 feet.

Answer:

[tex]z=\frac{20.5-20}{\frac{1.9}{\sqrt{35}}}= 1.557[/tex]

And using the normal standard distribution and the complement rule we got:

[tex]P(z>1.557) =1-P(z<1.557) = 1-0.940 = 0.06[/tex]

Step-by-step explanation:

For this case we define our random variable X as "fat content per hot dog" and we know the following parameters:

[tex]\mu = 20, \sigma =1.9[/tex]

We select a sample of n=35 and we want to find the following probability:

[tex] P(\bar X>20.5)[/tex]

For this case since the sample size is >30 we can use the central limit theorem and we use the z score formula given by:

[tex]z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

Replacing we got:

[tex]z=\frac{20.5-20}{\frac{1.9}{\sqrt{35}}}= 1.557[/tex]

And using the normal standard distribution and the complement rule we got:

[tex]P(z>1.557) =1-P(z<1.557) = 1-0.940 = 0.06[/tex]

Answer:

y = x-1

Step-by-step explanation:

y = x + 4

This is in slope intercept form  ( y = mx+b where m is the slope and b is the y intercept).  The slope is 1

Parallel lines have the same slope

y = 1x+b

Using the given point

5 = 6*1+b

5-6 = 6+b-6

-1 =b

The equation becomes

y =1x-1

y = x-1

Answer:

its b ). y = -1/3 x + 7

Step-by-step example

Answer:

¿Consideras que la gente que discrimina por aspectos como el color de la piel, clase social, por el género, etc., no saben lo que las personas valen y por eso no las valoran?

¿Consideras que la gente que discrimina por aspectos como el color de la piel, clase social, por el género, etc., no saben lo que las personas valen y por eso no las valoran?

Answer: 1/2900

Step-by-step explanation: if they are both in the same population and they are both being randomly selected then they both have the same possibility of being picked

Answer:

everywhere except between 2 and 5

(between -inf and 2 and between 5 and inf)

Step-by-step explanation:

The parametrization shown below,

            [tex]x(t),y(t),z(t)=10cost,5,10sint[/tex]

Given equation of sphere,

                 [tex]x^{2} +y^{2} +z^{2} =125[/tex]

Substitute y = 5 in above relation.

         [tex]x^{2} +z^{2}=125-25=100\\ \\x^{2} +z^{2}=10^{2}[/tex]

For parametrization,

Substitute [tex]x=rcos(t),z=rsin(t)[/tex] and [tex]r=10[/tex]

So that,  [tex]x(t),y(t),z(t)=10cost,5,10sint[/tex]

Learn more:

https://brainly.com/question/23070611

Answer:

  yes

Step-by-step explanation:

The lateral area of a cylinder is ...

  LA = πdh

Putting in the given numbers, we find the area to be ...

  LA = π(1.1 m)(1.4 m) ≈ 4.838 m²

At 25 mL per m², the amount of paint Tublu needs is ...

  (4.838 m²)(25 mL/m²) = 120.95 mL

2 liters is 2000 mL, so Tublu easily has enough paint for one layer.

___

The amount he has is enough for more than 16 coats of paint, so he could paint inside and out with the paint he has.

Answer:

he should.

Step-by-step explanation:

Answer:

x^2 -2x+1

Step-by-step explanation:

(x - 1)^2

(x-1) * (x-1)

FOIL

first: x^2

outer: -1x

inner: -1x

last: 1

Add together

x^2 -1x-1x+1

Combine like terms

x^2 -2x+1

Answer:

[tex] \boxed{\sf D. \ {x}^{2} - 2x + 1} [/tex]

Step-by-step explanation:

[tex] \sf Expand \: the \: following: \\ \sf \implies {(x - 1)}^{2} \\ \\ \sf \implies (x - 1)(x - 1) \\ \\ \sf \implies x(x - 1) - 1(x - 1) \\ \\ \sf \implies (x)(x) - (1)(x) - (1)(x) - (1)( - 1) \\ \\ \sf \implies {x}^{2} - x - x - ( - 1) \\ \\ \sf \implies {x}^{2} - 2x - ( - 1) \\ \\ \sf \implies {x}^{2} - 2x + 1[/tex]

Answer:

Question 2 is the right answer.

Step-by-step explanation:

Answer:

Question 2

Step-by-step explanation:

Temperature in the morning =  2°F  above normal temperature = + 2

Temperature at dinner time = 2° F lower than the morning = -2

+2 - 2 = 0° F

Answer:

Its 69.1 cm

Step-by-step explanation:

To find circumstance of any circle main formula is 2*pie*r .

Here pie is equal to 3.14 approx and r =11 cm

so

2*3.14*11 = 69.08 cm

This little difference is just because of pie's approximately value used

Answer:

A) According to the regression equation, regardless of whether or not smoking is allowed in bars, the number of cigarette packs sold per 1000 people decreases by approximately 1424 for each additional dollar of cigarette tax.

Step-by-step explanation:

Given the regression equation:

PACKS i= 57221.431732 − 1423.696906TAXi + 155.441784BARSi + eᵢ.

BARS i= 1 if city i allows smoking in bars

BARSi = 0 if city i does not allow smoking in bars

R2 = 0.351292

P-value = 0.086529

Conlusion:

Simnce p value, 0.0865 is greater than level of significance, 0.05, BARS is not significant. Thus, allowing smoking in bars increase cigarette sales, since the coefficient of BARS is positive.

Correct answer is option A.

According to the regression equation, regardless of whether or not smoking is allowed in bars, the number of cigarette packs sold per 1000 people decreases by approximately 1424 for each additional dollar of cigarette tax.

Answer:

Step-by-step explanation:

Using the formula for calculating margin error to tackle the question.

Margin error = [tex]\frac{Z \sigma}{\sqrt{n} }[/tex]

Z is the value at 95% confidence

[tex]\sigma[/tex] is the standard deviation

n is the sample size to be estimated

Since the  mean monthly income is within $20 or less, our margin error will be $20

Given [tex]\sigma[/tex] = $110, Z value at 95% confidence = 1.96 we can calculate the sample side n.

Making n the subject of the formula from the equation above;

[tex]M.E = \frac{Z \sigma}{\sqrt{n} }\\\\\sqrt{n} = \frac{Z \sigma}{M.E } \\\\[/tex]

[tex]n = (\frac{Z \sigma}{M.E })^{2}[/tex]

Substituting the give value into the resulting expression;

[tex]n = (\frac{1.96 * 110}{20})^{2}\\\\n = (\frac{215.6}{20}) ^2\\\\n = 10.78^2\\\\n = 116.21[/tex]

This shows that the sample size that should be selected to obtain a 0.95 probability of estimating the mean monthly income within $20 or less is approximately 116.21

Answer:

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

Step-by-step explanation:

[tex]2 + 4x - 4 = 0 \\ 2 + 4x = 0 + 4 \\ 2 + 4x = 4 \\ 4x = 4 - 2 \\ 4x = 2 \\ \frac{4x}{4} = \frac{2}{4} \\ x = \frac{1}{2} [/tex]

Answer:

x = 1/2

Step-by-step explanation:

2 + 4x - 4 = 0

4x = 0 + 4 - 2

4x = 2

x = 2⁽²/4

x = 1/2

Answer:

0.01958mol

Step-by-step explanation:

you want to go from grams to mols so when set up it looks like this

6.7 x [tex]\frac{1mol}{the mass of aluminum sulfate}[/tex]

(you want what your multiplying to cancel out with the denominator(g cancel out g so your left with mols))

to get the mass of aluminum sulfate you must first find the chemical formula which is

Al2(SO4)3

get the amount of every element

so there is:

2 Al

3 S

12 O

(multiply the three to everything inside the parenthesis)

next find the total mass of everything

Al=26.982g x 2

S=32.06g x 3

O=16g x 12

add everything together and you get 342.144g so you plug that number into the first equation

6.7 x[tex]\frac{1mol}{342.144g}[/tex] → [tex]\frac{6.7}{342.144}[/tex]→0.01958mol

Answer:

3/13

Step-by-step explanation:

There are a total of 13 fish (6+ 7 = 13). There are 3 small, red fish. (1/2 · 6 = 3). Put the number of small, red fish over the total number of fish because the small, red fish is being selected from the entire tank of fish. 3/13 cannot be simplified any further.

Answer:

( 2,1) is the center of dilation and -2 is the scale factor

Step-by-step explanation:

We can use the formula

A' = k( x-a) +a, k( y-b)+b  where ( a,b) is the center of dilation and k is the scale factor

(0,0) becomes (6,3)

( 6,3) =  k( 0-a) +a, k( 0-b)+b

6 = -ka+a

3 = -kb+b

We also have

(4,0) becomes (-2,3)

( -2,3) =  k( 4-a) +a, k( 0-b)+b

-2 =4k -ka+a

3 = -kb+b

Using these two equations

6 = -ka+a

-2 =4k -ka+a

Subtracting the top from the bottom

-2 =4k -ka+a

-6 = ka -a

-------------------

-8 = 4k

Divide by 4

-8/4 = 4k/4

-2 = k

Now solving for a

6 = -ka +a

6 = - (-2)a +a

6 = 2a+a

6 = 3a

Divide by 3

6/3 =3a/3

2=a

Now finding b

3 = -kb+b

3 = -(-2)b+b

3 = 2b+b

3 = 3b

b=1

Answer:

hope this helps uh.....

Answer:

  (5x +4y)^2

Step-by-step explanation:

The first and last terms are both perfect squares, and the middle term is twice the product of their roots. That means the trinomial is the perfect square trinomial ...

  25x^2 +40xy +16y^2 = (5x +4y)^2

_____

It matches the pattern ...

  a^2 +2ab +b^2 = (a +b)^2

Answer:

(5x +4y)^2

Step-by-step explanation:

Hello!!

Circumference of a circle = 2πr

and

Given, 2πr = 44cm

So,

πr = 44/2 = 22

r = 22 × 7/22

r = 7cm is the answer.

Stay safe and God bless!

- eli <3

Answer:

7 cm

Step-by-step explanation:

Circumference of a circle is 2 π r

2πr = 44

Solve for radius.

r = 44/(2π)

r = 7.002817

Answer:

190 cans

Step-by-step explanation:

Total cans collected by Jacob and Dustin for the school can job = 245

Amount of cans they both gave to Dustin's little sister = 55

Now because they gave out cast out of the total they initially had, there would be a deduction in the amount both boys would now have.

To determine the amount the boys are left with, we would deduct 55 casts from the amount they had which 245.

Amount of cans left = 245-55 = 190

Amount of cans left for the boys class = 190 cans

Answer:

[tex]a_n = 10-3(n - 1)[/tex]

10 + 7 + 4 + 1 + -2 + -5

Step-by-step explanation:

Explicit Arithmetic Formula: [tex]a_n = a_1 + d(n-1)[/tex]

To find d, take the common difference between 2 numbers.

To find the other terms of the sequence, plug them into the explicit formula or subtract 3 from the given numbers.

Answer:

The population of four years ago was 100,783 inhabitants

Step-by-step explanation:

The population of the city after t years is given by the following equation:

[tex]P(t) = P(0)(1-r)^{t}[/tex]

In which P(0) is the initial population and r is the decrease rate, as a decimal.

2 years later, that is to say two years ago, the population of this same city was 81,000 inhabitants and today it is 65,610.

This means that:

[tex]P(2) = 81000, P(4) = 65610[/tex]

We are going to use this to build a system, and find P(0), which is the initial population(four years ago).

P(2) = 81000

[tex]P(t) = P(0)(1-r)^{t}[/tex]

[tex]81000 = P(0)(1-r)^{2}[/tex]

[tex](1-r)^{2} = \frac{81000}{P(0)}[/tex]

P(4) = 65610

[tex]P(t) = P(0)(1-r)^{t}[/tex]

[tex]65100 = P(0)(1-r)^{4}[/tex]

[tex]65100 = P(0)((1-r)^{2})^{2}[/tex]

Since [tex](1-r)^{2} = \frac{81000}{P(0)}[/tex]

[tex]65100 = P(0)(\frac{81000}{P(0)})^{2}[/tex]

Using P(0) = x

[tex]65100 = x(\frac{81000}{x})^{2}[/tex]

[tex]65100 = \frac{6561000000x}{x^{2}}[/tex]

[tex]65100x^{2} = 6561000000x[/tex]

[tex]65100x^{2} - 6561000000x[/tex]

[tex]x(65100x - 6561000000) = 0[/tex]

x = 0, which does not interest us, or:

[tex]65100x - 6561000000 = 0[/tex]

[tex]65100x = 6561000000[/tex]

[tex]x = \frac{6561000000}{65100}[/tex]

[tex]x = 100,783[/tex]

The population of four years ago was 100,783 inhabitants

Answer:

a) [tex]0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799[/tex]

[tex]0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847[/tex]

The 95% confidence interval would be given by (0.799;0.847)

b) [tex]n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79[/tex]  

And rounded up we have that n=622

c) [tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]  

And rounded up we have that n=1068

Step-by-step explanation:

Part a

[tex]\hat p=\frac{823}{1000}=0.823[/tex]

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]

The confidence interval for the mean is given by the following formula:  

[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

If we replace the values obtained we got:

[tex]0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799[/tex]

[tex]0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847[/tex]

The 95% confidence interval would be given by (0.799;0.847)

Part b

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79[/tex]  

And rounded up we have that n=622

Part c

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]  

And rounded up we have that n=1068

Answer:

F(4)=1/3*4^4

F(4)=256/3

Step-by-step explanation:

4^4=256

(1/3)*(256)=

256/3

Simply replace X with 4

Answer:

F(4)=1/3*4^4

F(4)=256/3

Step-by-step explanation:

4^4=256

(1/3)*(256)=

256/3

Answer:

8.) $7325.98

9.) $8218.10

Step-by-step explanation:

Compounded Interest Rate Formula: A = P(1 + r/n)^nt

Simply plug in our known variables into the formula:

A = 6000(1 + 0.04/12)^60 = 7325.98

A = 5000(1 + 0.05/4)^40 = 8218.10

Answer:

6

Step-by-step explanation:

Arrange the data from smallest to largest

1,3,6,7,9

The median is the middle number

1,3   ,6,   7, 9

The middle number is 6

Answer: D, 6

Step-by-step explanation:

Match each side from XYZ to ABC (you are trying to find the scale factor of triangle 1 to triangle 2)  into a fraction then simplify

Ex 30/5= 6 or  24/6= 6 or 18/3

Answer:

Step-by-step explanation:

(a) The linear approximation of g(x) at x=b will be ...

  g(x) ≈ g'(b)(x -b) +g(b)

Using the given relations, this is ...

  g'(3) = 3² +7 = 16

  g(x) ≈ 16(x -3) -1

Then the points of interest are ...

  g(2.95) ≈ 16(2.95 -3) -1 = -1.8

  g(3.05) ≈ 16(3.05 -3) -1 = -0.2

__

(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)

Answer:

Assuming a Poisson distribution for the weekly sales, the probability that the store will sell exactly seven card tables in a given week is 0.060

Step-by-step explanation:

In order to calculate the probability that the store will sell exactly seven card tables in a given week we would have to calculate the following formula:

probability that the store will sell exactly seven card tables in a given week= e∧-λ*λ∧x/x!

According to the given data furniture store sells four card tables in a week, hence λ=4

Therefore, probability that the store will sell exactly seven card tables in a given week=e∧-4*4∧7/7!

probability that the store will sell exactly seven card tables in a given week=0.060

Assuming a Poisson distribution for the weekly sales, the probability that the store will sell exactly seven card tables in a given week is 0.060

Answer:

7.5 rating points

Step-by-step explanation:

The computation of the rating for Men 18-34 for program X is shown below:

Given that

Number of men 18 -34 watched a program X = 15,000 = X

Number of men 18 - 34 watched in a same time = 32,000

And, the total households in the market = 200,000 = Y

So, the rating for men 18-34 for program x is

[tex]= \frac{X}{Y}[/tex]

[tex]= \frac{15,000}{200,000}[/tex]

= 7.5 rating points

We simply applied the above formula