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2 years ago

M(5,7) is the midpoint of RS the coordinates of S are (6,9) what are the coordinates of R

Mathematics

2 answers:

MaRussiya [10]2 years ago

7 0

Answer:

(4,5) i believe

krok68 [10]2 years ago

3 0

Answer:

(4, 5)

Step-by-step explanation:

Using the midpoint formula and equating x to 5 and y to 7, that is the coordinates of the midpoint M

let the coordinates of R be (x, y), then

0.5(x + 6) = 5 ( multiply both sides by 2 )

x + 6 = 10 ( subtract 6 from both sides )

x = 4

Similarly

0.5(y + 9) = 7 ( multiply both sides by 2 )

y + 9 = 14 ( subtract 9 from both sides )

y = 5

Thus coordinates of R = (4, 5 )

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Whitepunk [10]

Answer:

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Step-by-step explanation:

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2 years ago

Which of the following is an advantage of using systematic random sampling?

bekas [8.4K]

This is a question that asks about the advantages of a systematic random sampling. Thus, we first take a look at the types of sampling, and then we see the advantage of systematic random sampling.

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

Systematic:

One of the bigger advantages is that the systematic sampling eliminate clusters, which means that the last option is wrong.

Inadvertently missing patterns is a problem in systematic sampling, and not an advantage, thus the third option is also wrong.

It also does not reduce sampling variability, thus the first option is wrong.

From this, it can be concluded that the correct option is:

Systematic random sampling does not require a finite population size.

For another example of systematic random sampling, you can check brainly.com/question/21100042

8 0

2 years ago

Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due

ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

Formula : d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

Formula : D= $\sqrt{(x2-x1)^2+(y2-y1)^2}$