Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent report notes that 20% of island residents of a country have reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from a city on this island find the probability of each of the following events.

a. All five qualify for the favorable rate
b. At least four qualify for the favorable rates

Answers

Answer 1

Answer: a. 0.00032    B. 0.00672

Step-by-step explanation:

Given: Proportion of  island residents of a country have reduced their electricity usage (p) = 20%= 0.20

Here, residents have two choices either reduced electricity usage or not , hence it follows binomial distribution

Let X be a binomial variable that represents the number of successes .

Binomial distribution formula:

[tex]P(X)=^nC_xp^x(1-p)^{n-x}[/tex], n= sample size.

a.

[tex]P(X=5) = ^5C_5(0.20)^5(1-0.20)^{5-5}=(1)(0.20)^5(1)\\\\=0.00032[/tex]

b. [tex]P(X\geq4)=P(4)+P(5)[/tex]

[tex]^5C_4(0.20)^4(1-0.20)^{5-4}+0.00032\\\\=(5)(0.20)^4(0.80)+0.00032\\\\=0.0064+0.00032\\\\=0.00672[/tex]


Related Questions

200% of d is 18. What is d?

Answers

Answer:

9

Step-by-step explanation:

Should be correct.

Max is paid on a weekly commission basis .he is paid a base salary of $340 on a weekly quota $8000 and commission of 4.74% on sales in excess of quota.
If max sales for lastweek $11340 what wad his gross earning.
What was max average per hour earning in 35 hours

Answers

Answer:

$498.32$14.24

Step-by-step explanation:

Max gross earning was:

340 + (11340 - 8000)*4.74/100 = $498.32  rounded to nearest cent

Average per hour:

498.32/35 = $14.24 rounded to nearest cent

Find the volume of a pyramid with a square base, where the side length of the base is 10.9 m and the height of the pyramid is 4.7 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

[tex]V=186.1\ m^3[/tex]

Step-by-step explanation:

Volume of a Pyramid

The volume of a pyramid with base area Ab and height H is given by:

[tex]\displaystyle V=\frac{A_b*H}{3}[/tex]

If the base is a square of side length L, then its area is:

[tex]A_b=L^2[/tex]

Thus, substituting the above equation in the first:

[tex]\displaystyle V=\frac{L^2*H}{3}[/tex]

The side length is L=10.9 m and the height is 4.7 m, thus the volume is:

[tex]\displaystyle V=\frac{10.9^2*4.7}{3}[/tex]

[tex]\displaystyle V=\frac{558.407}{3}[/tex]

[tex]\boxed{V=186.1\ m^3}[/tex]

Answer:186.1

Step-by-step explanation:

Marta just started a new job as an engineer. She is given a $9,000 sign on bonus and paid $4,500
per month. Write and solve an equation to determine the number of months that Marta must work
before she earns $27.000.

Answers

9000 + 4500 x n = 27000

4500 x n = 18000

n = 18000 : 4500

n = 4

4 months of work

From 2:15 pm to 5:15 pm, a car traveled 90 miles. How many miles did the car travel per hour? *

Answers

From 2:15 to 5:15 that will be 3 hour.
And if the car traveled 90 miles.
So you have to divide 90 by 3.
90/3= 30 miles
So the answer is 30 miles per hour.

Show all work for full credit. Given: f (x) = -2x + 1, find f (1) x Clear h Undo​

Answers

Answer:

I hope this helps

Step-by-step explanation:

five percent

√7÷3 ..simplify and denominator relalization

Answers

Answer:

1.5, or 1 R 5.

Step-by-step explanation:

The equation is...

[tex]\sqrt{(7 /3)}[/tex]

Find the value of 7 divided by 3. It is 2, remainder 3 because...

3 goes into 7, 2 times.

Now, square root the value of the division. In short words, find factors.

1/3 is a reduction of 2/3, that means it could be put as 2/3 if you substitute for this situation.

[tex]\frac{1}{3} \leq \frac{2}{3}[/tex]

[tex]\frac{1}{3}[/tex] is also looked at as 1.5

Therefore, your answer is 1.5

1 2/3 × 2 4/5

Please answer and explain how to do this problem.

Answers

Answer:

4 2/3

Step-by-step explanation:

First do:

5/3x14/5=

5x14

--------

3x5

=70/15

=4 2/3

Two minor league baseball players got a total of 364 hits. Washington had 18 more hits than Sanchez. Find the number of hits for each player.
Question content area bottom
Part 1
Washington had enter your response here
hits. Sanchez had enter your response here
hits.

Answers

364=s+(s+18)

364-18=346

346/2=173

173+18=191

173=sanchez

191=washington

364=173+(173+18)

Please help me on this question. What is the chicken saying in the last panel of the attached picture?

Answers

Answer:

12.6 kilograms

Step-by-step explanation:

I was going to go with 4. somethin until i noticed that in all of the pictures there are only 2 chickens so on the last picture instead of going down 2 you would go up two from the first picture.

Hope this helps. Btw it is just an educated guess.

Answer:

12.6 kg

Step-by-step explanation:

Let the weight of each chicken be:

Big - b, medium - m, small - s

In the pictures we have:

b + m = 10.6 kgb + s = 8.5 kgm + s = 6.1 kg

Add all together:

2b + 2m + 2s = 10.6 + 8.5 + 6.12(b + m + s) = 25.2b + m + s = 25.2/2b + m + s = 12.6

The chicken in the last panel says 12.6 kg

The answer is 12.6 kg

Please help me out with this assignment..

Answers

Answer:

(a) 3, (b) 96, (c) No

Step-by-step explanation:

(a) Since we have [tex]p = 150 - 6q^2[/tex] and [tex]p = 10q^2 + 2q[/tex], we can set up a quadratic equation by [tex]150 - 6q^2 = 10q^2 + 2q[/tex], moving all values to one side.

The equation is: [tex]16q^2 + 2q - 150 = 0[/tex].

Let's use the quadratic formula to find q,

we obtain that [tex]q = 3[/tex] or [tex]q = -3.125[/tex]

We can ignore [tex]-3.125[/tex] because supplying a negative quantity is impossible.

Hence, the answer of (a) is 3

(b) Simply substitute [tex]q = 3[/tex] into either equations given in the question to find p, and the answer of (b) is 96.

(c) We want to find if there is an exact quantity that makes the TR exactly 1500.

We substitute TR = 1500,

[tex]1500 = 85q - 2q^2[/tex]

Use the quadratic formula again, and we will find that the answer is "undefined".

As a result, there is not output level in which the total revenue is exactly 1500.


Click on the photo

Answers

Answer:

I think its B. y is all real numbers.

Step-by-step explanation:

Sorry if that is incorrect

Marsha sold 2 cameras in January, 4 in February, 7 in march, and 11 in April. If the number sold increases at the same rate, how many cameras will she sell in December?

Answers

Answer:

she should sell 79 cameras on Dec.

Find the value of x




please help :(

Answers

Answer:

x=7

Step-by-step explanation:

Since the angles are the same, the sides have to be the same length

x=7

Answer: x = 7

We see that the angles in the triangle are the same length. So, they have the same value as each other.

x = 7

WILL BE MARKING BRAINLIEST!!! HELPPP EASY Give the dimensions of all the different rectangles that can be made with 48 units [ i mean in terms of area]

Answers

If you are only considering sides that are whole numbers, then you're basically looking for all the possible ways to multiply two numbers to get 48. In other words, we're listing all the ways to factor 48.

That list is

1*482*243*164*126*8

The order for each pairing doesn't matter. Something like 3*16 is the same as 16*3.

If x and y were not positive integers, but instead positive real numbers, then x*y = 48 has infinitely many (x,y) solutions.

A^2 when a=3/4?? Thank you

Answers

Step-by-step explanation:

Given:-

[tex]a = \frac{3}{4} [/tex]

Therefore,

[tex] {a}^{2} = ( { \frac{3}{4} })^{2} \\ \: \: = \frac{ {3}^{2} }{ {4}^{2} } \\ = \frac{9}{16} [/tex]

Solution:

Given:

[tex]a = \dfrac{3}{4}[/tex]

Square both sides of the given equation:

[tex]a = \dfrac{3}{4}[/tex]

[tex]\rightarrow (a)^{2} = \text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}^{2}[/tex]

Simplify the equation:

[tex]\rightarrow a^{2} = \text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}\text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}[/tex]

[tex]\rightarrow a^{2} = \text{\huge{[}}\dfrac{3^{2} }{4^{2} }\text{\huge{]}}[/tex]

[tex]\rightarrow \boxed{a^{2} =\dfrac{9 }{16 }}[/tex]

PLEASE HELP PLEASE I WILL GIVE BRIANLEST
But this time Area the other one was perimeter

Answers

Answer:

84cm²

Step-by-step explanation:

A = L x W

A = 12cm x 7cm

A = 84cm²

I hope this helps!

Answer: 38 I hope this help it is right

What measure of central tendency requires the data set to be listed in ascending or descending order?

Answers

Answer:

The median.

Step-by-step explanation:

You need to find the middle value of the data

The Computer Club has a budget of $90 for a pizza party. The club can get large pizzas for $10 and cases of soda for $3.50. The club would like to buy at least 5 large pizzas and at least 3 cases of soda.
a. Write a system of linear equations that describes the given information. Use x for the number of large pizzas and y for the number of cases of soda the club will buy.
b. Graph the system you wrote in part (a).
c. Can the club buy 6 pizzas and 4 cases of soda? Explain.
d. Find the maximum number of cases of soda the club can buy if the club decides to buy 7 pizzas.

Answers

Answer: Doing the most I can answer

Step-by-step explanation:

yes they can buy 5 large pizzas and 3 cans of soda.

Yes they can buy 6 large pizzas and 4 cans of soda

If they buy 7 pizzas, they can get 5 cans of soda,

Serena needs fabric and ribbon for a sewing project the relationship between the number of yards of fabric x and the yards of fabric y needed is show in the graph

Answers

Answer: 1.5, 3.5, 4.5, 6.5, 8.5

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Question
A sportswear manufacturer is introducing a new line of sneakers. To introduce the new line, the company must pay out a
fixed cost of $1.5 million for advertising and equipment, plus there is a cost of 40 cents per pair of sneakers manufactured.
It plans to sell the sneakers for $75 per pair.
Let x be the number of pairs of sneakers manufactured. If the firm only manages to sell 15,000 sneakers, what is the total
loss?

Answers

Answer:

  $381,000 loss

Step-by-step explanation:

Profit is the difference between revenue and cost. Cost is the sum of fixed cost and variable cost. Revenue is the product of selling price and quantity sold.

__

If we assume the company only manufactures as many sneakers as it sells, then the profit can be found from ...

  R(x) = 75x . . . . . revenue from selling x sneakers

  C(x) = 1,500,000 +0.40x . . . . . . cost to manufacture x sneakers

  P(x) = R(x) -C(x) . . . . . profit from making and selling x sneakers

  P(x) = 75x -(1,500,000 +0.40x)

  P(x) = 74.60x -1,500,000 . . . . . profit from x sneakers

  P(15000) = 74.60·15,000 -1,500,000 = 1,119,000 -1,500,000

  P(15000) = -381,000

The total loss from making and selling 15,000 sneakers is $381,000.

Find the area of the polygon with the given vertices.
G(2,2) H(3,-1) J(-2,-1)

Answers

Hypotenuse and the x where is ur graph?

Please help!!! Question 6

Answers

A is your answer! Hope it helps!

What is the product in simplest form? −6/11x3/4

Answers

Answer:

In fraction: -9/22

In decimal: -0.409 with repeating over the 09

Step-by-step explanation:

Thirteen is about what percent of 20

Answers

13 is what percent of 20? = 65.



13: 20*100 =

(13*100): 20 =

1300: 20 = 65



Percentage solution with steps:

Step 1: We make the assumption that 20 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=20$100%=20​.

Step 4: In the same vein, $x\%=13$x%=13​.

Step 5: This gives us a pair of simple equations:

the governor of state A earns $53,545 more than the governor of state B. If the total of their salaries is $310,365, find the salaries of each.​

Answers

Answer:

Governor of State A earns $181,955 and Govermoe of State B earns $128,410

Answer:

the governor of state B = $128,410

the governor of state A = $ 181,955

Step-by-step explanation:

Lets say that:

the governor of state B = x

the governor of state A = x+$53,545

x+x+$53,545=

2x+$53,545= $310,365

2x=$256,820

x=$128,410

the governor of state A = $128,410 +$53,545 = $ 181,955

A square is cut into identical rectangles. Find the perimeter of each rectangle if the perimeter of the square is 48 cm​

Answers

Answer:

Given ,

Perimeter of square = 48 cm

In the question , it has been said that the square is cût into identical rectangles. Therefore ,

length of rectangle = side of squarebreadth of rectangle = side of square / 2

To find - Perimeter of each rectangle formed by cûtting the square into half.

[tex]\huge\red{ ★\:Aᥒsᥕᥱr -}[/tex]

[tex]\bold{perimeter \: of \: square = 48 \: cm} \\ \\\bold{ 4 \times side = 48 \: cm} \\ \\\bold{side = \cancel\frac{48}{4}} \\ \\ \fbox\blue{side\:of\:square= 12 \: cm}[/tex]

thus , as stated above ,

[tex]\bold{length \: of \: rectangle = 12 \: cm} \\\bold{ breadth \: of \: rectangle = \frac{12}{2} = 6 \: cm}[/tex]

Therefore ,

[tex]\bold{perimeter \: of \: rectangle = 2(l + b)} \\ = 2(12 + 6) \\ = 2(18) \\ \fbox\pink{Perimeter\:of\:rectangle\: = 36 \: cm}[/tex]

hope helpful ~

Mille milliards tableau

Answers

Answer:

That means trillion table in French.

How to pronounce:

Me-lee-Mil-e-are-ta-blue

Which term in the sequence 15,12,9..... Is equals to - 39​

Answers

Answer:

33,39

Step-by-step explanation:

prince owe R24000 every month he pays R600 . determine after how many months will she owe R3000​

Answers

Answer:

  35

Step-by-step explanation:

If prince owes ₹3000, the debt will have been reduced by ₹24000-3000 = ₹21000. The amount of time it takes to reduce the debt by that amount is ...

  ₹21000/(₹600/mo) = 35 mo

After 35 months, prince will owe ₹3000.

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