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2 years ago

6)

Mathematics

1 answer:

Arturiano [62]2 years ago

5 0

The answer is y=3x+4

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In DEF, C is the centroid if DM=45 , find DC and CM DC= ? Units

IgorC [24]

Answer:

DC=30

CM=15

Step-by-step explanation:

Given

Triangle DEF with C centroid

DM=45 (length of median)

centroid divides median in the ratio 2:1(larger side at vertex)

⇒

DC $=\frac{2}{3} \times DM=\frac{2}{3} \times 45= 2\times 15=30$

⇒DC=30

DC+ CM=DM

30+CM=45

⇒CM=15

7 0

2 years ago

What is the probability of flipping a coin 10 times and getting tails 7 times ? Round your answer to the nearest tenth of a perc

KatRina [158]

Answer:

Option C: 11.7%

Step-by-step explanation:

The number of elements in sample space when a coin is flipped 10 times will be:

$n(S) = 2^{10} \\= 1024$

Let A be the event that the tails appear 7 times:

Then,

$C_{(n,k)}=\frac{n!}{(k!)(n-k)!} \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_{(10,7)}= \frac{10!}{(7!)(10-3)!}\\= 120\\So, \\P(A) = \frac{n(A)}{n(S)} \\P(A) = \frac{120}{1024} \\= 0.1171\\$

Converting into percentage:

$P(A) = 0.1171*100=11.7%$

So, option C is correct ..

6 0

2 years ago

How to figure out how to do this problem

padilas [110]

The circumference should be 37.68 because area= pi *r^2. So if area=pi*36, then the radius must be 6 which makes the diameter 12 and circumference=pi*diameter and 3.14*12= 37.68. So circumference of the circle is 37.68!

5 0

1 year ago

Special taxes may be placed on an estate. true or false

kondor19780726 [428]

Answer:false

Step-by-step explanation:

5 0

2 years ago

When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel

xz_007 [3.2K]

Answer: option B. it has the highest y-intercept.

Explanation:

1) point -slope equation of the line

y - y₁ = m (x - x₁)

2) Replace (x₁, y₁) with the point (5,3):

y - 5 = m (x - 3)

3) Expand using distributive property and simplify:

y - 5 = mx - 3m ⇒ y = mx + 5 - 3m

4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept

⇒ slope = m

⇒ b = 5 - 3m = y - intercept.

Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.

Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).

7 0

2 years ago

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