A stairway handrail has a rise of 12 feet and a run of 24 feet. What is the slope of the handrail?

Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The mean and the standard error are given by:

[tex]\mu = p = 0.62[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141[/tex]

The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.59 - 0.62}{0.0141}[/tex]

[tex]Z = -2.13[/tex]

[tex]Z = -2.13[/tex] has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

Answer:

b=34.2m

Step-by-step explanation:

equation for area of parallelogram

a=b×h

in which b is the base(length) and h is the height

[tex]690.84 = b \times 20.2[/tex]

[tex]b = \frac{690.84}{20.2} [/tex]

b=34.2m

Answer:

40

Step-by-step explanation:

64 female

ratio of men to women is 5:8

5x:8x

where 8x = 64

so x = 8

5(8):8(8)

40:64

So there are 40 men.

Answer:

  y = x³ +2x² +x -1

Step-by-step explanation:

The attachment shows the four points we can read from the graph and the cubic regression function that fits them.

  y = x³ +2x² +x -1

_____

Additional comment

It is useful to become familiar with the regression function capability of your graphing calculator or spreadsheet. Free or inexpensive apps are available for tablet or phone, and on the web.

Answer:

21litres

Step-by-step explanation:

2/5 of 35litres of water was left in the tank

2/5 × 35 = 14litres

14litres remained

Amount of water poured out= 35-14

= 21litres

Step-by-step explanation:

Perimeter of rectangle = 2(a+b) or 2a +2b

a=perimeter of the first side of the rectangle

b=perimeter of the second side of the rectangle

Perimeter = 2(3x+5 + 2x-1)=52

Open the bracket by multiplying the number outside by the number inside

=6x+10+4x-2=52

C.L.T ( Collect like terms), that means put the terms that have co-efficients together (those with variables "X") and those that don't have in the other side of the equation. While collecting like terms, if a number is taken to the other side, the sign changes

6x+4x=52-10+2

10x=44

D.B.S by 10, to make variable X subject

x=4.4

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The dimension of the rectangle is (3x + 5) and (2x - 1).

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be given as,

2[(3x + 5) + (2x - 1)] = 52

Simplify the equation, then we have

2[(3x + 5) + (2x - 1)] = 52

3x + 5 + 2x - 1 = 26

5x + 4 = 26

5x = 22

x = 22 / 5

x = 4.4

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ2

Step-by-step explanation:

C(x) = 1550 - 50x

With C(x) the cash you have every month (x).

Now we solve:

1550 - 50x < 0

So it becomes:

50x > 1550

x > 31

The 32nd month you'll be broke.

Answer:

A = 210 cm²

Step-by-step explanation:

Perimeter of the triangle = the sum of the sides of the triangle.

70 = (3x - 1) + (4x + 1) + (3x)

70 = 10x  

7 = x     The length of the sides of the triangle are 3x - 1 = 20;  4x + 1 = 29 and                

             3x = 21.

 Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.

Trying a² + b² = c² to see if it is a right triangle.   20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21.   The longest side is the hypotenuse in a right triangle

A = 1/2bh

A = 1/2 (20)(21)

A = 10 · 21

A = 210 cm²

I can't see anything dude, you on something?

Step-by-step explanation:

#3. 3^⅓ × 9^⅓ ......make the bases the same

3^⅓ × (3²) ^⅓

3^⅓ × 3^⅔ .....since the bases are the same, add the powers

3^ (⅓+⅔)

3^1

3

#4. ( x +6) ^ 3/5 = 8¹....multiply both sides by the reciprocal of 3/5

(x + 6) ^3/5 *5/3= 8^¹*5/4

x + 6 = 8^5/3

x + 6= ( 3√8)^5

x + 6 = 2^5

x + 6 = 32

x = 32 -6

x = 26

hope this helps!

Not sure though

Answer:

7/16

Step-by-step explanation:

80 is the given amount which would become the denominator then you get the number of young adults in those sections and add them up to equal 35

then simplify

Answer:

1. 5 calories per minute

2.1/2 is your slope.

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

Find out what percent 91 is of 140

91÷140 = 0.65

Then find out how much was reduced by subracting 0.65 from 1

1 - 0.65 =0.35

The coat was reduced by 35%

Answer:

75FT  B

Step-by-step explanation:

if the building is 150 feet, then the tree is about 50% the height of the building it is 75 feet tall or answer B

Answer:

Screenshot 1 = Option B (5x-1)²

Screenshot 2 = (x+9)(x+9)

Screenshot 3 = Option 3 100x²-20x+1

Step-by-step explanation:

Screenshot 1 -

(5x-1)² = (5x-1)(5x-1)

5x · 5x = 25x²

5x · -1 = -5x

5x · -1 = -5x

(-1) · (-1) = 1

25x²- 5x- 5x + 1 = 25x² - 10x + 1

Screenshot 2 -

(x+9)(x+9)

x · x = x²

x · 9 = 9x

x · 9 = 9x

9 · 9 = 81

x² + 9x + 9x + 81 = x² + 18x + 81

Screenshot 3 -

100x²-20x+1

(10x-1)(10x-1)

10x · 10x = 100x²

10x · (-1) = -10x

10x · (-1) = -10x

(-1) · (-1) = 1

100x² - 10x - 10x + 1 = 100x² - 20x +1

Answer: 3r+8

Step-by-step explanation:

4r-r=3r

and 14-6=8

therefore it would be 3r+8

Answer:

Commutative property

Step-by-step explanation:

Answer:

Associative property I think

Step-by-step explanation:

[tex]y +11 = -2(x+1.5)\\\\\implies y = -2x -3 -11\\\\\implies y = -2x - 14\\\\\text{The above equation is in a form of y = mx +b,}~\text{where}~~ b = -14~\text{ is the y-intercept.}[/tex]

Answer:

[tex]i = \sqrt{ \frac{p}{r} } [/tex]

Answer:

Step-by-step explanation:

let price of Orange=x

price of Apple=2x

x+2x=20

3x=20

x=20/3

cost of Apple=2x=2×20/3=40/3=$13 1/3

Answer:

I think its OC

Hope it helps

Answer:

if 1cm is for 1km there are 12km

Step-by-step explanation:

it can depend on the size of the map but if there is a scale which shows how many km per cm then multiply by 12

Answer:

Step-by-step explanation:

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

? = 2x -x = x

Answer:

Answer is x = 31.5

Step-by-step explanation:

Explanation is in the picture. Pls give brainliest. :D

Answer:

Step-by-step explanation:

Answer:

Britain's goal with the Dominion of New England was to conglomerate all the governance of the colonies under one governor, a governor that would be able to properly enforce British laws. Before the Dominion was created, New England colonies were ruled under individual charters that allowed for self-government.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

_6x -9y =15

_6x÷3=-2x

9y÷3=3y

15÷3=5

so,_2x -3y =5

Answer:

static electricty

Step-by-step explanation:

it is preserved charge

Answer:

its electroboom not boy

Step-by-step explanation:

lol its static

Answer:

The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.

Step-by-step explanation:

hope this helps you mark me brinilylist