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Ipatiy [6.2K]
3 years ago
8

When dividing the polynomial 3x3 - 5x2 - 4x + 4 by (x - 2), the remainder is 0, making (x - 2) a factor.

Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0
(3x^3 - 5x^2 -4x + 4) / (x-2) = (3x-2)(x+1) when x ≠2
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The Highway Safety Department wants to study the driving habits of individuals. A sample of 40 cars traveling on a particular st
Ipatiy [6.2K]

Answer:

We need a sample size of at least 101

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is needed to estimate the true average speed to within 2 mph at 99% confidence?

We need a sample of at least n.

n is found when M = 2. So

M = z*\frac{\sigma}{\sqrt{n}}

2 = 2.575*\frac{7.8}{\sqrt{n}}

2\sqrt{n} = 2.575*7.8

\sqrt{n} = \frac{2.575*7.8}{2}

(\sqrt{n})^{2} = (\frac{2.575*7.8}{2})^{2}

n = 100.85

Rounding up

We need a sample size of at least 101

8 0
3 years ago
Read 2 more answers
Use the picture to answer. Which real number is not both a whole number and an integer? A. 423 B. 259 C. –156D. 0
Semmy [17]
Um A :)
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8 0
3 years ago
Which number would make this statement true
Alinara [238K]
3.3 is greater than 3.01

Hope this helps!
8 0
3 years ago
If a gardener fences in the total rectangular area shown in the illustration instead of just the square area, he will need twice
Norma-Jean [14]

Answer:

He needs 5x+56 ft

Step-by-step explanation:

To find how much of fencing he needs , we find the perimeter of the given figure

All sides are equal in a square

To find perimeter of the square we add all the sides

4 sides we have for the square

one side is x, so perimeter of square = x+x+x+x= 4x

Now we find perimeter of rectangle

Opposite sides of rectangle are equal

Here for rectangle we consider only three sides

because fourth side is common for rectangle and square

So perimeter of the rectangle (with 3 sides) = 28 +x+ 28 = 56+x

Total fencing = perimeter of square + perimeter of rectangle

4x + 56 + x= 5x+56


5 0
3 years ago
If Ill m, solve for x.<br> (4x - 7)<br> (7x-61)<br> X =
Mars2501 [29]
4x-7=7x-61
-7=3x-61
54=3x
Answer
X=18
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3 years ago
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