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hodyreva [135]
2 years ago
7

For which sample size (n) and sample proportion (p) can a normal curve be

Mathematics
2 answers:
melomori [17]2 years ago
8 0
The answer i reallyyyyyyyyyyy d
larisa86 [58]2 years ago
4 0

Answer: Thank you so much !! I had the exact one!!

D. n=35 p =0.7

Step-by-step explanation:

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Sonbull [250]

0.36 squared is 0.1296

0.1296 as a fraction is 1296/10000

Simplified, it is: 81/625

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Which are partial products for 89 × 25?
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Investing money in a retirement fund is part of a plan for achieving
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Read 2 more answers
PLZ SHOW ALL WORK
lara31 [8.8K]

Part I
We have the size of the sheet of cardboard and we'll use the variable "x" to represent the length of the cuts. For any given cut, the available distance is reduced by twice the length of the cut. So we can create the following equations for length, width, and height.
width:  w = 12 - 2x
length: l = 18 - 2x
height: h = x

Part II
v = l * w * h
v = (18 - 2x)(12 - 2x)x
v = (216 - 36x - 24x + 4x^2)x
v = (216 - 60x + 4x^2)x
v = 216x - 60x^2 + 4x^3
v = 4x^3 - 60x^2 + 216x

Part III
The length of the cut has to be greater than 0 and less than half the length of the smallest dimension of the cardboard (after all, there has to be something left over after cutting out the corners). So 0 < x < 6

Let's try to figure out an x that gives a volume of 224 in^3. Since this is high school math, it's unlikely that you've been taught how to handle cubic equations, so let's instead look at integer values of x. If we use a value of 1, we get a volume of:
v = 4x^3 - 60x^2 + 216x
v = 4*1^3 - 60*1^2 + 216*1
v = 4*1 - 60*1 + 216
v = 4 - 60 + 216
v = 160

Too small, so let's try 2.
v = 4x^3 - 60x^2 + 216x
v = 4*2^3 - 60*2^2 + 216*2
v = 4*8 - 60*4 + 216*2
v = 32 - 240 + 432
v = 224

And that's the desired volume.
So let's choose a value of x=2.
Reason?
It meets the inequality of 0 < x < 6 and it also gives the desired volume of 224 cubic inches.
3 0
3 years ago
Identify the line of the axis of symmetry for the quadratic f(x)= x^2 +6x + 8
suter [353]
Negative x axis
Since , the value of x comes out to be -2and -4 .
;))))
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3 years ago
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