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lesya692 [45]
3 years ago
9

Is this sample of the coins likely to be representative?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer: yes

Step-by-step explanation:

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Maria put trim around a banner that is the shape of a triangle. each side is 22 inches long. maria has 1/2 foot of trim left. wh
marissa [1.9K]
Since Maria is going to put a trim around a triangle-shaped banner with 22 inches long per side, this means that for the banner, it has a total length of 66 inches. 66 inches would be equal to 5.5 foot. This means that the total length of the trim from the start is 7 foot. Hope this helps.
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Find z. Write your answer in simplest radical form.
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Determine the equation of the tangent of the hyperbola that is parallel to the given line:
marin [14]

The tangent line to the curve has slope equal to \frac{\mathrm dy}{\mathrm dx}. Use implicit differentiation to find this derivative.

9x^2-4y^2=32

\implies18x-16y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{-18x}{-16y}=\dfrac{9x}{8y}

The given line in slope-intercept form is

9x+2y-1=0\implies y=\dfrac{1-9x}2

and has slope -9/2. Any line parallel to this one has the same slope. The tangent to the hyperbola has this slope at points (<em>x</em>, <em>y</em>) such that

-\dfrac92=\dfrac{9x}{8y}\implies x=-4y

Find the points on the hyperbola where this condition is met.

9(-4y)^2-4y^2=140y^2=32\implies y^2=\dfrac{32}{140}\implies y=\pm\sqrt{\dfrac8{35}}\implies x=\pm4\sqrt{\dfrac8{35}}

Then use the point-slop formula to build the equations of these tangents:

y\mp\sqrt{\dfrac8{35}}=-\dfrac92\left(x\pm4\sqrt{\dfrac8{35}}\right)

8 0
3 years ago
What critical value of t should be used for a 95% confidence interval for the population mean based on a random
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Answer:

did you get this answer yet?

3 0
3 years ago
Peter made 3 different stacks of wooden blocks. The first stack was 4 blocks
larisa [96]

Answer:

We can go step by step for this problem by listing out how many blocks for each stack.

Stack 1: 4

Stack 2: 4+9=13

Stack 3: 13+4=17

Now we can sum up the number of blocks in each stack to get 4+13+17=34. The answer is 34.

5 0
3 years ago
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