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Naddik [55]
3 years ago
15

The sampling distribution of the proportion follows the normal distribution when the values np and nq are greater than or equal

to
Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0
I dont know. So i am sorry ask someone alse. Thanks

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determine the volume of a rectangular container van with length,width, and height of 52m,13 m and 20m respectively.
icang [17]

\huge \boxed{ \green{ANSWER}}

\underline{v = 13 \: 520 \:  {m}^{3}  }

\huge \boxed{ \red{SOLUTION}}

v = lwh \\  = (52m) \: (13m) \: (20m) \\  \implies \underline{v = \: 13 \: 520 \:  {m}^{3}  }

<h3>#CarryOnLearning</h3>

\mathfrak{WatanabeHaruto}

6 0
2 years ago
Find the inequality represented by the graph.
iris [78.8K]

Answer:

<h2>x \geqslant  \frac{y + 4}{3}</h2>

Explanation;

Associated line with this equation is:

y=mx+c

when,

X=0

y=-4

so, c=-4

X=1

y=-1

- 1 = m- 4 \\  - m =  - 4 + 1 \\  - m =  - 3 \\ m =3 \\

y = 3x - 4 \\ or \: y + 4 = 3x \\ or \:  \frac{y + 4}{3}  = x

Inequality representated by graph:

x \geqslant  \frac{y + 4}{3}

Hope this helps...

Good luck on your assignment...

7 0
3 years ago
A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in t
Zinaida [17]

Answer:

a) p(x) = 300 - 3

b) P(x) = -3 x² + 285 x

c) Price of per room per day  = $ 157.5

when Number of rooms occupied , x = 47.5

Step-by-step explanation:

Given - A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in the charge per room per day, one more room is vacant. Each occupied room costs an additional $15 per day to maintain.

To find - a) Find the demand function, expressing p, the price charged for each room per day, as a function of x, the number of rooms occupied.

             b) Find the profit function P(x).

             c) Find the price of per room per day the motel should charge in order to maximize its profit.

Proof -

a)

Let

(x, y) be the point

where x represents number of rooms occupied

and y represents price of room per day.

Now,

Given that,

a room is priced at $60 per day, all 80 rooms of the motel are occupied.

So, point becomes (80, 60)

And  given that For every $3 rise in the charge per room per day, one more room is vacant.

So, point becomes (79, 63)

Now, we have two points (80, 60), (79, 63)

Let us assume that,

p(x) be the price charged for each room per day

Now,

By using point - slope formula , we get

p -60 = \frac{(63 - 60}{(79 - 80)} (x - 80)

⇒p -60 = (-3)(x-80)

⇒p-60 = 240 -3 x

⇒p(x) = 240 + 60 -3 x

⇒p(x) = 300 - 3 x

b)

Given that,

Each occupied room costs an additional $15 per day to maintain.

Let C(x) be the cost function,

Then C(x) =15 x

now,

Revenue function,

R(x) =x*p

      = x*(300 -3 x )

      = 300 x - 3 x²

⇒R(x) = 300 x - 3 x²

Now,

We know

Profit function = Revenue function - Cost function

⇒P(x) = R(x)-C(x)

⇒P(x) = (300 x -3 x²) -15 x

⇒P(x) = -3 x² + 285 x

c)

P'(x) = -6 x +285

For Maximize profit , Put P'(x) = 0

⇒-6 x+ 285 =0

⇒6 x= 285

⇒x = \frac{285}{6}

⇒x= 47.5

∴ we get

Maximize profit is when price, p = 300 - 3x

                                                      = 300 -3(47.5)

                                                      = $157.5

⇒Price of per room per day  = $ 157.5

when Number of rooms occupied , x = 47.5

5 0
2 years ago
The circumference of a circle is 60? cm. what is the length of an arc of 140'?
My name is Ann [436]
I hope this helps you



Circumference =2.pi.r


60=2.3,14.r


r=30/3,14


Arc Length = 140/360.2.3,14.30/3,14


Arc Length =70/3
3 0
3 years ago
The function f(x) = x2 – 6x + 9 is shifted 5 units to the left to create g(x). what is g(x)?
allsm [11]
The correct answer is C.  The form for shifts is (x-h)^2 +k where h=the x variable ( horizontal shift left or right) and k = the y  variable  (vertical shift up or down) The confusing part for many students is remember that if you are moving left it's subtraction So in the form x-h it is actually x - (-h) so it gets turned into a positive/ addition sign. 
7 0
3 years ago
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