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nordsb [41]
3 years ago
11

What is the maximum number of relative extrema contained in the graph of this function?

Mathematics
1 answer:
morpeh [17]3 years ago
5 0

We are given with the function f(x) = 3x^3 - x^2 + 4x - 2 and is asked in the problem to determine the maximum number of relative extrema. The relative extrema is determined by differentiating the function and equating to zero. Hence the answer then is 2. 
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Whic number is a prime number below 65,56,53,90​
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Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a s
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 700

x = 46

p = 46/700 = 0.066

q = 1 - 0.066 = 0.934

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.066 ± 1.645√(0.066)(0.934)/700

= 0.066 ± 0.0094

The lower limit of the confidence interval is

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The upper limit of the confidence interval is

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5 0
3 years ago
If line T is a transversal of lines I and m, name the angel relationship of the given angle pairs
kolbaska11 [484]

Answer:

  a. corresponding angles (congruent)

  b. alternate exterior angles (congruent)

  c. same-side interior angles (supplementary)

Step-by-step explanation:

The vocabulary associated with angles created by a transversal and parallel lines is not so difficult.

If angles are on the same side of the transversal, they are <em>same-side</em> angles. If not, they are <em>alternate</em> angles.

If angles are between the parallel lines, they are <em>interior</em> angles. If not, they are <em>exterior</em> angles.

If the angles are in the same direction from the point of intersection of the transversal with the parallel line, they are <em>corresponding</em>. Corresponding angles are same-side; one is interior and the other is exterior.

These names generally apply to angles with different vertices.

__

a. Both angles are northwest of the intersection point; they are same-side, and one is interior and one is exterior. They are corresponding angles. (congruent)

__

b. The angles are on opposite sides of the transversal and are outside the parallel lines. They are alternate exterior angles. (congruent)

__

c. The angles are on the same side of the transversal, and both are between the parallel lines. The are same-side interior angles. (supplementary)

3 0
2 years ago
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