A city council is considering funding a proposal to create a new city park. The council members will fund the proposal if they conclude that more than 60 percent of the city residents support the proposal. A survey of 2,000 randomly selected city residents will be conducted to investigate the level of support for the proposal. Let X represent the number of city residents in the sample who support the proposal. Assume that X is a binomial random variable.
A. Determine the mean and standard deviation of the random variable X, assuming that 60 percent of city residents support the proposal
B. Assume that 60 percent of city residents support the proposal. Use a normal approximation and the mean and standard deviation from part a to determine the values of k1 and k2 (the left and right boundaries of the middle .997 area)
C. The survey was conducted, and 1293 of the 2000 city residents supported the proposal. Do your answers in part b and the survey support the funding of the proposal? Justify your answer.

Answer:

C

Step-by-step explanation:

the cos of an angle of 45° is equal to √2/2~=0,7071

Do you want the full explanation?

Answer:

Step-by-step explanation:

Use the formulas supplied in the picture attached. There's nothing to really learn here, it is just a plug-and-chug formula:

[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(3x-2x)-cos(3x+2x)][/tex]

[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(x)-cos(5x)][/tex]

Moving on to the second problem:

[tex]cos(a)sin(b)=\frac{1}{2}[ sin(a+b)-sin(a-b)][/tex]

Therefore:

[tex]2cos(a)sin(b)=sin(a+b)-sin(a-b)[/tex]

Where:

[tex]a+b=5x[/tex]

[tex]a-b=3x[/tex]

Solve for 'a' using the second equation to get:

[tex]a=3x+b[/tex]

Plug this into the first equation to get:

[tex]3x+b+b=5x[/tex]

[tex]3x+2b=5x[/tex]

[tex]2b=2x[/tex]

[tex]b=x[/tex]

Therefore:

[tex]a+x=5x[/tex]

[tex]a=4x[/tex]

Finally:

[tex]sin(a+b)-sin(a-b)=2cos(4x)sin(x)[/tex]

Answer: the center is (-5, 5) and the radius is 15

Step-by-step explanation:

the standard form of a circle is

(x-h)^2 + (y-k)^2 = r ^2 where h is the x coordinate and k is the y coordinate of the center of the circle

(h,k) = the center of the circle

r = radius

therefore,

(x+5)^2 + (y-5)^2 = 225 means that x has to be -5 since subtracting a negative creates a positive and y must be 5 as it is negative in the equation

think of it as making the sum/difference 0 within the parentheses:

(x+5) -5+5 = 0 so x=-5

(y-5) 5-5 = 0 so y =5

so the center of the circle is (-5,5)

the radius is simply 225 square rooted which is 15

hope this helps :)

Answer:

-5

Step-by-step explanation:

[tex]gradient=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

              =[tex]=\frac{-8-2 }{3-1}[/tex]

             =-5

Hope it helps:)

[tex]\textsf{The gradient of a line passing through two}[/tex][tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]

[tex]\green{ \underline { \boxed{ \sf{ Gradient =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]

Here,

Putting Values:-

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Gradient =\frac{-8-2}{3-1} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{\cancel{-10}}{\cancel{2}} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf -5 \\\end{gathered} \end{gathered} [/tex]

>>The gradient of the line segment is -5

Answer:

C. 2027.4 m^3

Step-by-step explanation:

volume = (1/3) · π · r^2 · h

volume = (1/3) · π · 8.8^2 * 25

volume = (1/3) · π · 1936

volume = (1/3) · 1936π

volume = 2027.4 m^3

Answer:

760 in^2

Step-by-step explanation:

2(22*10)+2(22*5)+2(5*10) = 760in^2

Answer:

down below

Step-by-step explanation:

no squares and rectangles are not the same because a square has all 4 sides of the square are the same length while for rectangles have do not have same length for all four sides so therfore squares are not also rectangles

The y-intercept will be where it crosses the y-axis. The y-axis is the line that goes up and down also know a vertically.

We can organize the data by making a board (i can't draw one so i'll do it in another way)

First, we have to see how many different values are there :
19 ; 21 ; 22; 23 ; 24 ; 25 ; 26 ; 27 ; 28 ; 29 ; 30 ; 31 ; 32 ; 34 ; 35 ; 36 ; 37 ; 39 ; 40 ; 43 ; 44 ;45 ; 46

Frequency :
19 : 1 time
21 : 3 times
22 : 1 time
23 : 1 time
24 : 5 times
25 : 3 times
26 : 2 times
27 : 4 times
28 : 3 times
29 : 2 times
30 : 2 times
31 : 3 times
32 : 2 times
34 : 2 times
35 : 4 times
36 : 2 times
37 : 1 time
39 : 1 time
40 : 1 time
43 : 2 times
44 : 1 time
45 : 1 time
46 : 1 time
47 : 1 time

(that was so long, now you can construct the board yourself right xd)

Answer:

they are both prime numbers

have a nice day

The answer is below.

So, this is what they have in common.

#LearningWithBrainly

~NatLikesAnime!

Answer:

the answer is simple 4

Step-by-step explanation:

10n4 simple just like 10 to the 4th power

Answer:

9000 grams

Step-by-step explanation:

Keep in mind the conversion 1 kilogram = 1000 grams, as 1 kilo means 1000.

⇒ 1 kilogram = 1000 grams

⇒ Ben's dog = 9 kilogram = x kilograms = 1000x grams

⇒ x = 9

⇒ Ben's dog = 9 kilogram = 1000x grams

                                            = 1000(9) grams

                                            = 9000 grams

Answer:

Your answer is,

9000 grams

Step-by-step explanation:

Hope this helps you :)

pls mark brainliest <3

`

`

`

``Tori

Answer:

194,711

Step-by-step explanation:

1,000,000 - 805, 289 = 194,711

Let's break this problem down in a few steps

Since these two fractions are equal to each other, let's solve for x

  [tex]\frac{x}{6}=\frac{5}{6} \\6x=30\\x = 5[/tex]

Thus x = 5

Hope that helps!

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Step 1:  Convert to an expression

x over 6 equals 10 over 12

[tex]\frac{x}{6}=\frac{10}{12}[/tex]

Step 2:  Cross multiply

[tex](x * 12) = (6 * 10)[/tex]

[tex]12x = 60[/tex]

Step 3:  Divide both sides by 12

[tex]\frac{12x}{12} = \frac{60}{12}[/tex]

[tex]x = 5[/tex]

Answer:  [tex]x = 5[/tex]

Answer:

2. x = 34 and 1. x = 39

Step-by-step explanation:

1. 39 is the right answer because x = 56 - 17 equals 39 which means you have to subtract.

Answer:

Divide y by x. The answer is 8

For example 252 divided by 30 equals 8.4

Round it out to 8.

Answer:

The answer is A

Step-by-step explanation:

you divide the Y by the X

Answer:

D = 1120

Step-by-step explanation:

Given:

Substitute the values into the equation:

⇒ D = WT²

[tex]\text{D = WT}^{2} \ \text{can also be written as D = (W)(T)(T)}[/tex]

⇒ D = (W)(T)(T)

⇒ D = (70)(4)(4)

Simplify the RHS:

⇒ D = 280(4)

⇒ D = 1120

Answer:

2

Step-by-step explanation:

Four years from now: h+4

Hozumi will be 2 years younger than 4 times her present age: 4h-2

h+4=4h-2

6=3h

h=2

Explanation:

Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.

Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.

Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.

Choice D is ruled out for similar reasoning as choice A. Recall that [tex]\sec(x) = \frac{1}{\cos(x)}[/tex]

Answer:

0 ≤ sin x < 1/2.

Step-by-step explanation:

sin π6 = 1/2

sin 5π/6 = 1/2

sin 0 and sin 180 = 0

The dotted line indicates that the value of the sine is less than 1/2 and the solid line indicates that value  is greater or equal to zero.

So the inequality is 0 ≤ sin x < 1/2

Answer:

tanC = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{36}{15}[/tex] = [tex]\frac{12}{5}[/tex]

Answer:

27

Step-by-step explanation:

So in the triangle, we've got the angle as 64°. And, there's only an opposite value and the hypotenuse value therefore the trig function is sin.

  According to SOHCAHTOA,

sin=opp/ hyp

sin 64°=x / 30

Cross- multiply, then

x= 30 × sin 64°

x= 26.963

x= 27.0(nearest tenth)

Answer:

9.7

Step-by-step explanation:

sqrt(12^2-7^2) = sqrt(95) or 9.7

Answer:

42000(1.0175)^12 = $51720.45

Step-by-step explanation:

Answer:-7,0,1.5

Step-by-step explanation: they are lower then number three

20 units²

[tex]Becanse\ simple\ form:[/tex]

[tex]S=(4+6)\times4\times\frac{1}{2}[/tex]

  [tex]=10\times 2\\ =20\ units\ ^2[/tex]

[tex]algorithm\ rule)[/tex]

I hope this helps you

:)

The area of the shape is 20 square units.

An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.

Given that a shape is in trapezoid form.

The dimensions of the parallel sides are 4 and 6 units.

And a perpendicular side is 4 units.

The formula for the area of a trapezoid is:

Area = (1/2) × (sum of parallel sides) × (perpendicular distance between them)

In this case, the parallel sides have lengths 4 and 6 units, and the perpendicular distance between them is 4 units.

Substituting these values into the formula, we get:

Area = (1/2) × (4 + 6) × 4

Area = (1/2) × 10 × 4

Area = 20 square units

Therefore, the area of the trapezoid is 20 square units.

To learn more about the trapezoid;

https://brainly.com/question/8643562

#SPJ7

Answer:

2329.69 is the answer......

give me a brainliest

Step-by-step explanation:

- will be cancel

then

815/35= 23.28

keeping in mind that Mt Everest is 8000 meters, or namely 8 Kilometers, Check the picture below.