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Bezzdna [24]
2 years ago
9

Simplify three to the negative ninth divided by three to the negative twelfth.

Mathematics
2 answers:
frutty [35]2 years ago
8 0
When you divide, the exponents subtract. -9 - (-12) = 3
3^3 = 27.
Ksenya-84 [330]2 years ago
5 0
3/-9 = 1/-3. 1/-3=3/-12. 3/-12=1/-4. 1/-3 ( -4/1) is -4/3.Multiply by the reciprocal in order to divide fractions.
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The heights of fully grown sugar maple trees are normally distributed, with a mean of 87.5 feet and a standard deviation of 6.25
Julli [10]

Answer:

20.33%

Step-by-step explanation:

We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12

They ask us for P (x <86)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (86 - 87.5) / (6.25 / (12 ^ 1/2))

z = -0.83

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <-0.83) = 0.2033

The probability is 20.33%

6 0
1 year ago
A door with width 4.20m has an arc as shown in the diagram. Find: a) the radius of the arc, to the nearest cm. b) the length of
Ksju [112]

Hi there!

~

R = \frac{2.1}{sin 67.5}

Arc = R \frac{3\pi }{4}

(A)

Hope this helped you!

5 0
1 year ago
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The a value of a function in the form f(x) = ax2 + bx + c is negative. Which statement must be true?
Savatey [412]
The correct answer for the question that is being presented above is this one: "The axis of symmetry is to the left of zero." The a value of a function in the form f(x) = ax2 + bx + c is negative. The statement must be true is this The axis of symmetry is to the left of zero.<span>
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11 0
1 year ago
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Which polynomial function could be represented by the graph below?
Svetllana [295]

Note that

1.

f(x)=x^3+x^2-6x=x(x^2+x-6)=x(x-2)(x+3)

The x-intercepts are at points x=-3, x=0, x=2. The graph should be increasing - decreasing - increasing.

2.

f(x)=x^3-x^2-6x=x(x^2-x-6)=x(x+2)(x-3)

The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing - decreasing - increasing.

3.

f(x)=-2x^3-2x^2+12x=-2x(x^2+x-6)=-2x(x-2)(x+3)

The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing - increasing - decreasing.

4.

f(x)=-2x^3+x^2+12x=-2x(x^2-x-6)=-2x(x+2)(x-3)

The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing - increasing - decreasing.

From the diagram you can see that x-intercepts are at points x=-3, x=0, x=2 and the graph is   decreasing-increasing-decreasing.

Answer: correct choice is 3.

7 0
2 years ago
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I need help with number 5 please
steposvetlana [31]

Answer: Would be 55% I hope this helps!

7 0
1 year ago
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