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Firdavs [7]
3 years ago
5

Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. a sample of 100 items is drawn from

this population. what is the standard error of the mean?
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Solution: We are given:

μ=180,σ=25,n=100

Therefore the standard error of the mean is

\frac{standard deviation}{\sqrt{n}}

\frac{25}{\sqrt{100}}

2.5

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Can you give me answer to both questions am confused . Thank you .
Naddik [55]
For the first one, it would be 5/3 and 19/3
the second one would be 40
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3 years ago
1 121 12321 1234321.......56th​
Rudik [331]

Answer:

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3 0
3 years ago
A science teacher ordered $1848 worth of microscopes and dissection kits for the new science lab. A total of 30 microscopes and
andrezito [222]

Answer:

Microscopes cost $44 and Dissection Kits cost $11

Step-by-step explanation:

Using the information given, we can make the system of equations:

30x+48y=1848

x represents the price of microscopes and y represents the price of dissection kits.

We also know that microscopes will be 4x the price of dissection kits. Therefor:

x=4y

We can plug these two equations together to find the answer.

30(4y)+48y=1848

120y+48y=1848

168y=1848

y=11

Using the y-value, can find the x-value.

x=4(11)

x=44

4 0
3 years ago
98 POINTS! PLEASE HELP! I been stuck on this assignment for over 2 weeks. My teacher gave me a simple explanation when I asked f
Colt1911 [192]

See the attached picture.

  • Create an equation for the volume of the box, find the zeroes, and sketch the graph of the function.

The resulting box has a volume

V(x)=x(8-x)(12-x)=x^3-20x^2+96x

because the volume of a box is the product of its width (12-x), length (8-x), and height (x).

  • find the zeroes

You know right away from the factored form of V(x) that the zeroes are x=0,8,12. (zero product property)

  • sketch the graph of the function

Easy to plot by hand. You know the zeroes, and you can check the sign of V(x) for any values of x between these zeros to get an idea of what the graph of V(x) looks like. See the second attached picture.

Here's what I mean by "check the sign" in case you don't follow. We know V(x)=0 when x=0 and x=8. So we pick some value of x between them, say x=1, and find that

V(1)=1(8-1)(12-1)=7\cdot11=77

which is positive, so V(x) will be positive for any other x between 0 and 8. Similarly we would find that V(x) for x between 8 and 12, and so on.

  • What is the size of the cutout he needs to make so that he can fit the most marbles in the box?

It's impossible to answer this without knowing the volume of each marble...

  • If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be?

Thomas wants V(x)=12, so you solve

x^3-20x^2+96x=12

While this is possible to do by hand, the procedure is tedious (look up "solving the cubic equation"). With a calculator, you'd find three approximate solutions

x\approx0.1284

x\approx7.6398

x\approx12.2318

but you throw out the third solution because, realistically, the cutout length can't be greater than either of the sheet's dimensions.

  • What would be the dimensions of this box?

The box's dimensions are (x in) x (8-x in) x (12-x in).

If x\approx0.1284, then 8-x\approx7.8716 and 12-x\approx11.8716.

If x\approx7.6398, then 8-x\approx0.3602 and 12-x\approx4.3602.

8 0
3 years ago
Estimate the difference by rounding each number to the nearest hundred worksheets
Gnom [1K]

just round it into the nearest hundreds

1234 into 1200


7 0
3 years ago
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