Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation? {–11, –1} {–11, 1} {11, –1} {11, 1} , PLEASE HURRY !! :( THANK YOU!

a. The population of taxi drivers in Greece falls between 3.3766 meters and 4.0234 meters.

b. The assumption is that the sample of 50 taxi drivers is representative of the population.

a.

To construct a 95% confidence interval for the population mean following distance while talking on a mobile phone, we can use the formula:

Confidence Interval = sample mean ± (critical value × standard error)

The standard error:

Standard Error = sample standard deviation / √(sample size)

Standard Error = 1.17 / √(50)

Standard Error = 0.165

Since the sample size is large (n > 30), we can use the Z-table to find the critical value.

For a 95% confidence level, the critical value is approximately 1.96.

Now we can construct the confidence interval:

Confidence Interval = 3.70 ± (1.96 × 0.165)

Confidence Interval = 3.70 ± 0.3234

Confidence Interval = (3.3766, 4.0234)

Interpretation: We are 95% confident that the true population means following distance while talking on a mobile phone for the population of taxi drivers in Greece falls between 3.3766 meters and 4.0234 meters.

b.

The assumption that must be made to generalize this confidence interval to the population of all taxi drivers in Greece is that the sample of 50 taxi drivers is representative of the population. It is assumed that the sample was randomly selected and that the taxi drivers included in the study are a fair and unbiased representation of all taxi drivers in Greece.

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Answer:

542.9

Step-by-step explanation:

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Answer:

She raised: $542.9

12.2 × 44.5 = 542.9

Answer:

6 × 15 equals 90, and the sine of 90° = 1.  That gives us 1 + 3.  The answer then is 4.

Answer:

A has 263 calories

B has 257 calories

Step-by-step explanation:

system of equations:

a + 2b = 777

2a + b = 783

I multiplied the first equation by -2 to eliminate the 'a' terms

  -2a - 4b = -1554

+ 2a  + b =    783

         -3b = -771

b = 257

solve for 'a'

a + 2(257) = 777

a + 514 = 777

a = 263

Answer:

[tex]\theta \approx 1.23^\circ[/tex]

Step-by-step explanation:

The expression has been given as:

[tex]tan(\theta) = \frac{50}{18}[/tex]

Required: Find [tex]\theta[/tex]

Simplify the fraction

[tex]tan(\theta) = 2.7778[/tex]

Take arc tan of both sides

[tex]\theta = tan^{-1}(2.7778)[/tex]

[tex]\theta \approx 1.23^\circ[/tex]

Answer:

Step-by-step explanation:

a₆ = a₁r⁶⁻¹ = (-2)4⁵ = -2048

The sixth term of the given sequence is required.

The required term is option G -2048.

a = First term = -2

r = Common ratio = 4

n = Required term = 6

The general formula to find a term of the sequence is given by

[tex]a_n=ar^{n-1}[/tex]

Substituting the values we get

[tex]a_6=-2\times 4^{6-1}\\\Rightarrow a_6=-2\times 4^5\\\Rightarrow a_6=-2\times 4\times 4\times 4\times4\times 4\\\Rightarrow a_6=-2048[/tex]

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Answer:

x < -33 ( mark me as the brainliest )

Step-by-step explanation:

1) -4x > 132

2) -4x/4 > 132/-4

3) x < -33

Answer:

12

Step-by-step explanation:

if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.

After he cuts the 4 bars, there are 12 pieces Jacob have.

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

Jacob has 4 granola bars.

He cuts them into pieces that are 1/3 of a bar each.

After he cuts the 4 bars.

After he cuts the 4 bars, how many pieces Jacob has is determined in the following steps given below.

[tex]\rm = \dfrac{Total \ granola \ bars}{Cut \ pieces}\\\\= \dfrac{4}{\dfrac{1}{3}}\\\\=\dfrac{4}{0.33}\\\\= 12.12\\\\= 12 \ apporx[/tex]

Hence, After he cuts the 4 bars, there are 12 pieces does Jacob have.

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Answer:

A-(-5)

Step-by-step explanation:

Answer:

A-(-5)

Step-by-step explanation:

Answer:

C:21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

range is the difference between the lowest and highest value. 22-1=21

Answer:

-90, -80, -47, -33, 5, 44

Step-by-step explanation:

So think of a timeline:

There, it is like going back in negative an forward positive you can keep going to find the place.

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Answer:

-15

Step-by-step explanation:

Answer:

(-5) x 3 + -15

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] \frac{3}{4} + \frac{3}{4} + \frac{2}{3} + \frac{2}{3} \\ = \frac{6}{4} + \frac{4}{3} \\ = \frac{18 + 16}{12} \\ = \frac{34}{12} \\ = \frac{17}{6} [/tex]

Hope it will help :)❤

Answer:   It is 217

360-(114+29)=217

114 + 29 = 143

Step-by-step explanation: Srry if its wrong

Answer:

I have no clue good luck tho:)  

Step-by-step explanation:

None :(

I cannot necessarily "make" a triangle, but I do know that the dimensions or measurements of the triangle would be:

area = 36 units

base = 9 units

height = 8 units

2 nickles

4 quaters=1.25

2 nickles

Answer:

52

Step-by-step explanation:

55 - 3 = 52

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Answer:

He needs to run 7 miles per day. 217/31 = 7m

Step-by-step explanation:

Answer:

the area of the polygon is 240cm^2

Answer:

x=6

Step-by-step explanation:

x-7=-1 add -1 to other side of the equation

x-6=0 add six to the zero

x=6

The correct answer is D hope this helps you.

Answer:

Option 4

Step-by-step explanation:

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and 'h' is the height between the bases.

Area of the composite figure = Area of two trapezoids given

                                                = [tex]\frac{1}{2}(12+12)14+\frac{1}{2}(25+31)11[/tex]

                                                = [tex]\frac{1}{2}(24)(14)+\frac{1}{2}(56)(11)[/tex]

                                                = 168 + 308

                                                = 476 square ft

Option 4 is the answer.