Romeo looks up at Juliet in her second-floor balcony at an angle of 57o. Of the balcony is 10 feet above the ground, how far is Romeo standing from the base of her house

Answer:

a) mean = 0.2

variance = 0.0391

standard deviation = 0.198

b) The average hurricane is aprox. category 2.*  (B)

Step-by-step explanation:

In order to find the mean, variance, and standard deviation, let us for a table for the data:

level            x

1             0.411

2            0.278

3            0.221

4            0.080

5            0.010

Calculating the mean ([tex]\bar{x}[/tex])

[tex]\bar{x} = \frac{x_1+x_2+x_3+x_4 + x_5}{n}\\\\\bar{x} = \frac{0.411 + 0.278 + 0.221 + 0.080 + 0.010}{5}\\\bar{x} = \frac{1}{5}\\ \bar{x} = 0.2[/tex]

∴Mean = 0.2

level            x         [tex]x- \bar{x}[/tex]         [tex](x - \bar{x})^2[/tex]  

1             0.411         0.211         0.0445  

2            0.278       0.078        0.0608

3            0.221        0.021         0.000441    

4            0.080        -0.12         0.0144

5            0.010         -0.19         0.0361

                                              [tex]\sum(x - \bar{x})^2 = 0.1562[/tex]

[tex]variance = \frac{\sum(x - \bar{x})^2}{n-1} \\variance = \frac{0.1562}{4} \\variance = 0.0391[/tex]

standard deviation = √(variance)

Standard deviation = √(0.0391)

Standard deviation = 0.198

b) the average hurricane is aprox.  category 2 (B)

Answer:

30

Step-by-step explanation:

RST=RSV-TSV

2x+8=11x+10-101

2x-11x=10-8-101

-9x=-99

x=99/9

x=11

--->RST=2(11)+8

RST=30

Answer:

A)i) Population: Total number of people that reside in Florida..

II) Sample: 62348 people that took part in the random survey.

B) No, the estimates are not close to the truth of the entire population.

Step-by-step explanation:

A)i) The population is the total number of people that reside in Florida.

II) The sample is the 62348 people that took part in the random survey.

B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.

Answer:

hope the pics below helps!!

Plz mark brainliest :DD

The groomer charges is an illustration of a piece-wise function, where different functions are used to handle different inputs.

The piece-wise function is:

[tex]f(x) = \left[\begin{array}{ccc}35,&x \le 15\\40, &15 < x \le 40\\2x - 40,&x > 40\end{array}\right[/tex]

Let:

[tex]x \to[/tex] weight of dog

[tex]y \to[/tex] charges

Dogs that weigh 15 pounds or under

This means that: [tex]x \le 15[/tex]

And the charges is [tex]y = 35[/tex]

Dogs that weigh between 15 and 40 pounds

This means that: [tex]15 < x \le 40[/tex]

And the charges is [tex]y = 40[/tex]

Dogs that weigh over 40 pounds

This means that: [tex]x > 40[/tex]

And the charges is [tex]y = 40 + (x - 40) \times 2[/tex]

Simplify

[tex]y = 40 + 2x - 80[/tex]

Collect like terms

[tex]y = 2x +40- 80[/tex]

[tex]y = 2x - 40[/tex]

So, the piece-wise function is:

[tex]f(x) = \left[\begin{array}{ccc}35,&x \le 15\\40, &15 < x \le 40\\2x - 40,&x > 40\end{array}\right[/tex]

See attachment for the graph of the piece-wise function

Read more about piece-wise functions at:

https://brainly.com/question/19338550

Answer:

We substitute

12 = -x - 2

14 = -x or -x = 14

so the answer is -14!

I am in honors high school algebra and I am 11. Trust me bro.

Step-by-step explanation:

Answer:

13/20

Step-by-step explanation:

Simple answer.

You will have to replace a, with the given numbers.

For the 1st one)

70-25² since a=25. 70-625=-55

2nd)

70-1²=70-1=69

3d)

70-10²=70-100=-30

Hope this helped.

Answer: A

Step-by-step explanation:

The sum of [tex]8.7 \times 10^9[/tex] and [tex]4.58 \times 10^9[/tex] in scientific notation is [tex]13.28 \times 10^9[/tex].

To find the sum of [tex](8.7 \times 10^9)[/tex] and [tex](4.58 \times 10^9)[/tex] and express it in scientific notation.

we need to add the coefficients and keep the same exponent.

[tex]8.7 \times 10^9 + 4.58 \times 10^9[/tex]

[tex]= (8.7+4.58)\times 10^9[/tex]

[tex]= 13.28 \times 10^9[/tex]

Therefore, the sum of [tex]8.7 \times 10^9[/tex] and [tex]4.58 \times 10^9[/tex] in scientific notation is [tex]13.28 \times 10^9[/tex].

To learn more on Number system click:

https://brainly.com/question/1763119

#SPJ6

Complete question:

Find the sum. Express the answer in scientific notation.

(8.7 x 10⁹)+(4.58 x 10⁹)

1.328x10⁸

1.328 x 10¹⁰

13.28 x 10⁹

13.28 x 10¹⁸

Answer:

21

Step-by-step explanation:

A ratio of 3:4 means that for every 3 boys there are 4 girls and vice versa.

12 girls / 4 girls = 3

3 boys * 3 = 9 boys

There are 9 boys in the class.

9 boys + 12 girls = 21 total students

Answer:

54 + 42 = 6(9 + 7)

Step-by-step explanation:

Using distributive property on the right side of the equality, you multiply 6 and nine and 6 and 7 to get rid of the parenthesis.

Answer:

its the last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:

-7

Step-by-step explanation:

6r+3=4r-11

distributive property

6r-4r=-11-3

2r=-14

r=-7

Answer:

105

Step-by-step explanation:

When finding the perimeter add them together

Answer:

10

I hope this helps!

Answer:

Point of the flower garden  R ( 11, 44 )

Step-by-step explanation:

Let´s call   P (  3, 14 ) The center of the herb garden, and Q ( 7 , 29 ) the birdbath point

Differences in coordinates of these two points are:

x axis        7 - 3   = 4

y axis     29 - 14  = 15

Then the point Q ( x , y ) will be at:  Q ( 11, 44)

x axis    x = 11 because    7 + 4 = 11 means that the coordinate 7 is just halfway way between coordinates (x)  3 and 11  ( 4 above 3, and 4 below 11)

Reasoning the same way we conclude y = 44 in this case 29 is just halfway between coordinates  (y) 14 and 44 ( 15 above 14 and 15 below 44)

We can probe getting distance d₁  between P and Q  and d₂ distance between Q and R as:

d₁ = √ (7-3)² + ( 29-14)²

d₁ = √ 16 + 225

d₂ = √ (11 - 7)² +  ( 44 - 29)²

d₂ = √ 16 + 225

Answer:

1

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

a - b + c

a = 4

b = 2

c = -1

Step 2: Solve

Answer:

5/2

Step-by-step explanation:

Because that is the answer

Answer:

5/2

Step-by-step explanation:

Because it is an improper fraction so you move it to the top.

Pls Brainliest! ;) It would mean a lot!

Answer:

$6300

Step-by-step explanation:

A = P(1 + rt)

   A = Total Accrued Amount (principal + interest)

   P = Principal Amount

   I = Interest Amount

   r = Rate of Interest per year in decimal; r = R/100

   t = Time Period involved in months or years

P = $4500

t = 5 years

r = 8% = .08

A = P(1 + rt)

A = 4500 ( 1 + (.08*5))

A = 4500 ( 1 + .4)

A = 4500 (1.4)

A = $6300

Susan will pay $6300 for the furniture

________________________________________________________

The equation I used is the same as what you were given:

I = Prt

A = I + P   Re-write as I = A - P

So you plug in A - P for I:

A - P = Prt      Add P to each side

A - P + P = Prt + P

A = Prt + P     Pull P out

A = P(rt + 1)   Re-arrange

A = P(1 + rt)

Same equation!

Answer:

-2.4 meters

Step-by-step explanation:

-86 + 83.6 = -2.4

Answer:

Class width

Step-by-step explanation:

Class width is the difference between two consecutive lower limits (or two consecutive lower class boundaries) in a frequency distribution.

Answer:

Rational

Step-by-step explanation:

You are able to put 18.18 in a fraction.

Hope this helped, Have an AMAZING day/night!

Answer:

Angle 7

Step-by-step explanation:

It is on the same side down from 3 so it would be congruent because they are lined up.

The density of a substance is the mass per unit volume. The mass of the metal bar is 3.95 kg.

The density of a substance is the mass per unit volume.

It can be given as,

[tex]\rho=\dfrac{m}{v}[/tex]

Here, [tex]m[/tex] is the mass of the substance and [tex]v[/tex] is the volume of hte substance.

Given information

A metal bar has the D of 7.9 g/mL .

Volume of the bar is 500 mili liter.

Suppose the mass of the metal bar is [tex]m[/tex] grams. Thus put the values in the above formula as,

[tex]\rho=\dfrac{m}{v}\\7.9=\dfrac{m}{500}\\[/tex]

Solve for m,

[tex]m=500\times7.9\\m=3950[/tex]

Thus the mass of the metal bar is 3950 grams. Convert it into the kg as divide by 1000. Thus,

[tex]m=\dfrac{3950}{1000}\\m=3.950[/tex]

Hence the mass of the metal bar is 3.95 kg.

Learn more about the density of the substance here;

https://brainly.com/question/952755

Answer:

9/2:1/2

Step-by-step explanation:Here's the answer

Answer:

what do I need to do to answer

Step-by-step explanation:

Answer:No Solution

Step-by-step explanation:

Consistent dependent like 0=0 or x=x

Rewrite 1 1/5 as 6/5

Now you have 12 / 6/5

When dividing by a fraction, flip the fraction over and multiply:

12 / 6/5 = (12 x 5) /6 = 60/6 = 10

The answer is 10

Answer:

8

Step-by-step explanation:

Answer:

A. [tex]C(x,y) = (3,-1)[/tex], [tex]r = 2[/tex], x-Intercepts: [tex]x = 3\pm\sqrt{3}[/tex], y-Intercepts: none.

Step-by-step explanation:

Let [tex]x^{2}+y^{2}-6\cdot x + 2\cdot y + 6 = 0[/tex] be the general equation of the circle, we must transform the expression into standard form to determine its center, radius and intercepts. The procedure is shown below:

1)  [tex]x^{2}+y^{2}-6\cdot x + 2\cdot y + 6 = 0[/tex] Given.

2) [tex](x^{2}-6\cdot x)+(y^{2}+2\cdot y) +6= 0[/tex] Commutative and associative properties.

3) [tex](x^{2}-6\cdot x)+(y^{2}+2\cdot y) + 6 + 3 + 1 = 3 + 1[/tex] Compatibility with addition.

4) [tex](x^{2}-6\cdot x +9)+(y^{2}+2\cdot y +1) = 4[/tex] Definition of addition/Commutative and associative properties.

5) [tex](x-3)^{2} + (y+1)^{2} = 4[/tex] Perfect square trinomial/Result.

The equation of the circle centered in (h, k) in standard form is defined as:

[tex](x -h)^{2} + (y-k)^{2} = r^{2}[/tex] (Eq. 1)

Where:

[tex]h[/tex], [tex]k[/tex] - Coordinate of the center of the circle, dimensionless.

[tex]r[/tex] - Radius of the circle, dimensionless.

By direct comparison we find that circle is centered in [tex]C(x, y) = (3, -1)[/tex] and has a radius of 2.

Finally, we obtain the intercepts of the given function:

x-Intercepts ([tex]y = 0[/tex])

[tex](x-3)^{2} + (0+1)^{2} = 4[/tex]

[tex]x^{2}-6\cdot x +9+1 = 4[/tex]

[tex]x^{2}-6\cdot x +6=0[/tex]

Roots are found analitically by Quadratic Formula:

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

y-Intercepts ([tex]x=0[/tex])

[tex](0-3)^{2}+(y+1)^{2} = 4[/tex]

[tex]9+y^{2}+2\cdot y +1 = 4[/tex]

[tex]y^{2}+2\cdot y +6 = 0[/tex]

Roots are found analitically by Quadratic Formula:

[tex]y = -1\pm i\,\sqrt{5}[/tex]

In a nutshell, there are no y-Intercepts.

We include a graphic including circle, center and x-Intercepts.

Finally, we came to the conclusion that correct answer is A.

Answer:

100

Step-by-step explanation:

if 1 is 50 then the measure of 2 would be 100

Answer:

The measure of angle 2 is

Step-by-step explanation:

angle 1 is 50 degrees and it creates a linear pair (adds up to 180) with the angle right under it.

so we can say that 50+x=180  (x represents angle 2)

subtract x from both sides ,  50-50+x=180-50

x= 130