Select the component form of the vector shown.

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

7 0

In this case always write i before j (because we need to follow the alphabetical order)
You will get 3i + 3j (+3)

so, the answer would be :
<3,6>

Hope this helps

seropon [69]3 years ago

6 0

Answer:

Step-by-step explanation:

Given is a line segment BC in the graph

The coordinates of C is (4,1) and coordinates of B (-2,-2)

In vector form C = 4i+j

B = -2i-2j

Hence vector BC = OC-OB

$= 4i+j-(-2i-2j)\\= 4i+j+2i+2j\\=6i+3j$

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professor190 [17]

Answer:

I believe the answer is $2.25

Step-by-step explanation:

To figure this out, first you need to find 25% as a decimal. 25% as a decimal is .25 . Then, you multiply 9 by .25 . 9 * .25 = $2.25. You are saving $2.25 with the discount.

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4 0

3 years ago

Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a

rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

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

$\alpha = \frac{1 - 0.95}{2} = 0.025$

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

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

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.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that $\sigma = 2$

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when $M = 0.5$ . So