-3x + 2c = -3, solve for x

∠1 and ∠8 are alternate exterior angles while ∠3 and ∠6 are alternate interior angles.

step-by-step explanation:

When transversal l intersects lines m and n, the angles formed outside each line on the opposite side of the transversal constitute alternate angles (like ∠1 and ∠8). In contrast, alternate interior angles appear on opposite sides but are located between the two lines (like ∠3 and ∠6).

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Keywords: Transversal, angles

Step-by-step breakdown:

For the null hypothesis,

H0: p = 88

For the alternative hypothesis,

Ha: p < 88

In terms of population proportion, where the probability of success is p = 0.88

q represents the probability of failure = 1 - p

q = 1 - 0.88 = 0.12

Considering the sample,

Sample proportion, P = x/n

Where

x = number of successes = 21

n = total samples = 32

P = 21/32 = 0.66

Next, we determine the test statistic, which represents the z-score

z = (P - p)/√pq/n

z = (0.66 - 0.88)/√(0.88 × 0.12)/32 = - 3.83

The relevant p-value corresponds by referencing the normal distribution table for the area falling beneath the z-score. As a result,

P value = 0.00006

Answer:

Kayla is right; the center constitutes a fixed point located at the sphere's core.

Step-by-step explanation:

Kayla is indeed correct, whereas Raymond is mistaken since a point itself cannot represent a radius; a radius is defined as the line segment stretching from the center to the surface.

The center is indeed the stable point positioned at the center of the sphere.

Answer:

The exact population of Vermont in 2008 could have been around 618,000

Step-by-step explanation:

* Here's how rounding to the nearest ten thousand works:

- Numbers ending with the last four digits between 0001 and 4999 are rounded down to the nearest lower multiple of ten thousand

- Example: 83,525 rounds down to 80,000.

- If the last four digits are 5000 or above, round up to the next higher ten thousand

- Example: 58,988 rounds up to 60,000

* Applying this rule to the problem given:

Since the rounded population is 620,000 to the nearest ten thousand, the actual population could be any value with the last four digits from 0001 to 4999 (like 618,000) or from 5000 upwards (like 624,000).

Therefore, 618,000 might represent the actual population of Vermont in 2008

Answer:

The sequence decreases by 5

thus the subsequent numbers are

-13,-18,-23,-28