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MArishka [77]
3 years ago
8

Suppose that 20% of students at high school A and 18% of students at high school B participate on a school athletic team. Indepe

ndent random samples of 30 students from each school are selected and asked if they participate on a school athletic team. Let ˆ p A represent the sample proportion of students at school A who participate on a school athletic team and ˆ p B represent the sample proportion of students at school B who participate on a school athletic team.
What is the value of n A p A ?
What is the value of n A ( 1 − p A ) ?
What is the value of n B p B ?
What is the value of n B ( 1 − p B ) ?
Is the shape of the sampling distribution approximately Normal?
____, these values _____ all at least 10.
Mathematics
1 answer:
daser333 [38]3 years ago
7 0

Answer:

let me answer this and i will come back

Step-by-step explanation:

You might be interested in
. If a landfill has a density of 1,200 pounds per cubic yard, what would be the volume required for 15- years worth of MSW to th
bazaltina [42]

Here is the full data for the question.

Each person in the state of Texas generate roughly 7.5 pounds of municipal solid waste each day. Of this amount, roughly 35 percent of the waste is currently recycle in Texas. Studies have shown that the maximum amount of waste that could be realistically recycled or otherwise diverted from the landfill is 50 percent.

(NOTE: for tons, use I ton -2,000 pounds unless otherwise specified)

11. For a community/service area of 200,000 people, calculate the amount:

Total MSW each year, in pounds?<u>              </u> ? Tons?<u>               </u>

<u />

II. Total MSW currently recycled each year, in pounds?<u>              </u> Tons?<u>          </u>

<u />

III Amount of the MSW that could realistically be diverted from the landfill if recycling was maximized to the nearest pound.

12. Using the current recycling rate, calculate the amount of MSW sent to a landfill over 15 years period to the nearest pound.

13. If a landfill has a density of 1,200 pounds per cubic yard, what would be the volume required for 15- years worth of MSW to the nearest cubic yard?

Answer:

Step-by-step explanation:

11)

I) The amount of total MSW generated per day in pounds is = 1,500,000 Pounds

The total MSW generated per day  in tons is = 750 Tons

The amount of the total MSW generated per year in pounds will be:

= 1,500,000 × 365

= 547,500,000 Pounds

The amount of the total MSW generated per year in tons is

= 750 × 365

= 273,750 Tons

II)

The amount of the total MSW currently recycled per day is pounds

= 1,500,000 × (35/100)

= 525,000 Pounds

Total MSW currently recycled per day in tons is

= 750 × 35/100

= 262.5 Tons

The amount of the total MSW currently recycled per year in pounds is

= 525,000 × 365

= 191,625,000 Pounds

The amount of the total MSW currently recycled each year in tons is

= 262.5 × 365

= 95812.5 Tons

III) The required amount of MSW which could realistically be diverted from the landfill suppose that the recycling was maximized (for each person) is

= 7.5 × (50/100)

= 3.75 Pounds

≅ 4 Pounds

The required amount of MSW which could realistically be diverted from the landfill suppose recycling were maximized (for the total population) is:

= 1,500,000 × (50/100)

= 750,000 Pounds

12)

Applying the current rate of recycling, the amount of MSW sent to landfill over a 15 year period (for each person) is:

= 7.5 × (100-35)/100

= 4.875 Pounds each day

= 4.875 × 365 × 15

= 26690.625 Pounds/ 15 years/person

≅ 26,691 Pounds/ 15 years/person

<u>For 1 year period:</u>

By applying the current rate of recycling, the required amount of MSW sent to landfill over (for total population) is:

= 547,500,000 × (100-35)/100)

= 355,875,000 Pounds

<u>For 15 years period:</u>

By applying the current rate of recycling, the amount of MSW sent to landfill  (for total population) is:

= 355875000 × 15

= 5,338,125,000 Pounds

13)

The volume required for the landfill for 15 years worth of MSW is:

= 5,338,125,000/1,200

= 4,448,437.5 Cubic yard

≅ 4,448,438 Cubic yard

3 0
3 years ago
If y = 12 when x = 6, determine y when x = 18 write an equation
Aleksandr [31]
If y=12 when x=6, then y=36 when x=18 by the equation y=2x.
4 0
3 years ago
A plane intersects a double-napped cone so that it contains the generating line.
mr Goodwill [35]

To understand this picture 2 cones that are stacked one on top of another. A double-napped cone is created when a generator is rotated about a fixed vertical axis. A line is created when the cone is cut by a plane containing the generator. Please see the attachment to help you understand this.



I hope this helps, Regards.




4 0
3 years ago
Absolute value of -392
Tema [17]

Answer:392

i need help plz help and here is a explanation i hope this helped

step-by-step :

Formally, the absolute value of a number is the distance between the number and the origin. This is a much more powerful definition than the "makes a negative number positive" idea. It connects the notion of absolute value to the absolute value of a complex number and the magnitude of a vector.

The absolute value of x, denoted "| x |" (and which is read as "the absolute value of x"), is the distance of x from zero. This is why absolute value is never negative; absolute value only asks "how far?", not "in which direction?" This means not only that | 3 | = 3, because 3 is three units to the right of zero, but also that | –3 | = 3, because –3 is three units to the left of zero. You can see this on the following number line:

abs(-3) = abs(3) = 3

Warning: The absolute-value notation is bars, not parentheses or brackets. Use the proper notation; the other notations do not mean the same thing.

It is important to note that the absolute value bars do NOT work in the same way as do parentheses. Whereas –(–3) = +3, this is NOT how it works for absolute value:

Simplify –| –3 |.

Given –| –3 |, I first need to handle the absolute-value part, taking the positive of the insides (the "argument of" the absolute value) and then converting the absolute value bars to parentheses:

–| –3 | = –(+3)

Now I can take the negative through the parentheses:

–| –3 | = –(3) = –3

As this illustrates, if you take the negative of an absolute value (that is, if you have a "minus" sign in front of the absolute-value bars), you will get a negative number for your answer.

Side note: When typing math as text, such as in an e-mail, the "pipe" character is usually used to indicate absolute values. The "pipe" is probably a shift-key somewhere north of the "Enter" key on your keyboard. While the "pipe" denoted on the physical keyboard key may look like a "broken" line, the typed character should display on your screen as a solid vertical bar. If you cannot locate a "pipe" character, you can use the "abs()" notation instead, so that "the absolute value of negative 3" would be typed as "abs(–3)".

Here are some more example simplifications:

Simplify | –8 |.

| –8 | = 8

Simplify | 0 – 6 |.

| 0 – 6 | = | –6 | = 6

Simplify | 5 – 2 |.

| 5 – 2 | = | 3 | = 3

Simplify | 2 – 5 |.

| 2 – 5 | = | –3 | = 3

Simplify | 0(–4) |.

| 0(–4) | = | 0 | = 0

Why is the absolute value of zero equal to "0"? Ask yourself: How far is zero from 0? Zero units, right? So | 0 | = 0.

Simplify | 2 + 3(–4) |.

| 2 + 3(–4) | = | 2 – 12 | = | –10 | = 10

Simplify –| –4 |.

–| –4| = –(4) = –4

In the next three examples, pay particular attention to the difference that the location of the square makes, with respect to the "minus" signs.

Simplify –| (–2)2 |.

–| (–2)2 | = –| 4 | = –4

Simplify –| –2 |2

–| –2 |2 = –(2)2 = –(4) = –4

Simplify (–| –2 |)2.

(–| –2 |)2 = (–(2))2 = (–2)2 = 4

5 0
3 years ago
Find all solutions for a triangle with A = 30°, a = 4, and b = 8.
Artemon [7]
The answer will be b
5 0
3 years ago
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