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2 years ago

What is the final elevation if a bird starts at 20 m and changes 16 m?

Mathematics

1 answer:

charle [14.2K]2 years ago

5 0

Answer:

36 meters

Step-by-step explanation:

The bird starts at 20 and (assuming it goes up) increases by 16 meters. You have to add to get 36. However, if the bird flies 16 meters down, the answer would be four meters. The answer 36 is assuming the bird flies upward.

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Given a polynomial f(x), if (x + 5) is a factor, what else must be true?

PolarNik [594]

Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

Using that rule, we can see that x+5 is really x-(-5) so k = -5.

Therefore,

p(k) = 0
p(-5) = 0

so the answer is choice D.

4 0

2 years ago

Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you tak

Alona [7]

Answer:

The standard deviation for the number of defective parts in the sample is 1.88.

Step-by-step explanation:

The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

68 defective out of 400:

This means that $p = \frac{68}{400} = 0.17$

From the shipment you take a random sample of 25.

This means that $n = 25$

Standard deviation for the number of defective parts in the sample:

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88$

The standard deviation for the number of defective parts in the sample is 1.88.

6 0

2 years ago

1<br> Which equation represents a line that has a slope of 3 and passes through point (-2, 1)?

enot [183]

Well if the first point is (-2, 1) and the slope is three than the other point would be (-1, 4)

4 0

2 years ago

HELP pls!!

Rudiy27

<h3>Answer: Choice B) x = 65, y = 10</h3>

====================================================

Work Shown:

The upper pair of angles 60 degrees and (2x-y) degrees are supplementary angles. This is because of the parallel lines. Note how they are same side interior angles. Therefore, (2x-y) and 60 combine to 180 degrees like so

(2x-y)+60 = 180

2x-y = 180-60 ... subtract 60 from both sides

2x-y = 120 ... call this equation 1

-------

Similarly, (2x+y) and 40 also combine to 180

(2x+y) + 40 = 180

2x+y = 180-40 ... subtract 40 from both sides

2x+y = 140 ... call this equation 2

------

Line up equation 1 and equation 2. Then add straight down

$\ \ \ 2x-y = 120\\+ 2x+y = 140\\\hrule\\\\\\ \ \ \ 4x+0y = 260\\\\$

That becomes 4x = 260 which solves to x = 65 when you divide both sides by 4.

------

If x = 65, then,

2x-y = 120

2(65)-y = 120

130 - y = 120

-y = 120-130

-y = -10

y = 10

2x+y = 140

2(65)+y = 140

130+y = 140

y = 140-130

y = 10

----------

Either way end up with x = 65 and y = 10

4 0

2 years ago

The veterinarian weighed Oliver’s new puppy, Boaz, on a defective scale. He weighed 46 pounds. However, Boaz weighs exactly 44.5

notka56 [123]

The percent error is the absolute difference of the actual and measured values, divided by the actual value, multiplied by 100. In here, the actual value is 44.5 lb, while the measured value is 46 pounds.

Percent error = |44.5 - 46|/44.5 * 100 = <em>3.37%</em>

8 0

2 years ago