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3 years ago

What is the vector sum of 7, 5 and 13, −5?

2 answers:

6 0

The answer is (20,0). We can determine the sum of two vector points by adding x1 to x2 and y1 to y2. This is like adding integers, the only difference is the answer is in vector form. In here, we have (x,y). x = 7+13 and y = 5+(-5). that is why we have the (20,0) as the answer.

morpeh [17]3 years ago

3 0

Answer:

⇒Here, point , (7,5) and (13, -5) are points in two dimensional vector plane.

⇒Points in two dimensional system is same as representation of point in vector plane,where, x y plane is represented as i j , plane.

Point , (7,5) when written in vector form = 7 i + 5 j

Point , (13,-5) when written in vector form = 13 i - 5 j

⇒Addition of two vectors is same as Addition of two numbers, that is i component is added with i component, and j with j component.

So, 7 i + 5 j + 13 i - 5 j

= 7 i + 13 i + 5 j - 5 j→→[Addition of vectors is commutative,which is , a + b=b +a]

= 20 i +0 j

= 20 i

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3 years ago

What is 7% of 40? Round to the nearest whole number if necessary.

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3 years ago

The Arc Electronic Company had an income of 7676 million dollars last year. Suppose the mean income of firms in the same industr

garri49 [273]

Answer:

0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Suppose the mean income of firms in the same industry as Arc for a year is 90 million dollars with a standard deviation of 7 million dollars.

This means that $\mu = 90, \sigma = 7$

What is the probability that a randomly selected firm will earn more than Arc did last year?

Arc earned 76 million, so this is 1 subtracted by the pvalue of Z when X = 76.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{76 - 90}{7}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year

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3 years ago

Find the area and perimeter of the shaded figure below.

Elza [17]

Answer:

Area= 6
Perimeter= 10

Step-by-step explanation:

The area is length x width, which in this case would be 3 x 2, giving the area of 6.

The perimeter is length + length + width + width, which in this case would be 3 + 3 + 2 + 2, giving the perimeter of 10.

Hope this helps :)!

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3 years ago

Read 2 more answers

Find (f-g)(x) when f(x)=3x+2 g(x)=2x^2-4 h(x)=x^2-x+7

Ad libitum [116K]

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

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3 years ago