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3 years ago

In circle D, if the measure of arc Gec is 230 , what is the measure of minor arc GFC

Mathematics

1 answer:

BabaBlast [244]3 years ago

8 0

Answer:

The measure of minor arc GFC is $130\°$

Step-by-step explanation:

we know that

In a circle the sum of the major arc plus the minor arc is equal to 360 degrees

see the attached figure to better understand the problem

Let

x------> the major arc GEC

y-----> the minor arc GFC

$x+y=360\°$

we have

$x=230\°$

substitute in the equation and solve for y

$230\°+y=360\°$

$y=360\°-230\°=130\°$

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X=5y how do you find y??

horsena [70]

You can divide both sides by 5, then you would have the answer:
X/5 = y

Hope this helps! :)

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3 years ago

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Thirty students in the fifth grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Green

Mars2501 [29]

Answer:

No, the events "brown hair" and "brown eyes" are not independent.

Step-by-step explanation:

The table that represents the hair and eye colors of thirty students of the fifth grade are given in table as:

Brown hair Blonde hair Total

Green eyes 9 6 15

Brown eyes 10 5 15

Total 19 11 30

No, the events "brown hair" and "brown eyes" are not independent.

Since, two events A and B are said to be independent if:

P(A∩B)=P(A)×P(B)

where P denotes the probability of an event.

Here we have:

A= students having brown hair.

B= students having brown eyes.

A∩B= students having both brown hair and brown eyes.

Now,

P(A)=19/30 (ratio of addition of first column to the total entries)

P(B)=15/30 ( ratio of addition of second row to the total entries)

Also,

P(A∩B)=10/30

Now as:

P(A∩B) ≠ P(A)×P(B)

Hence, the two events are not independent.

8 0

2 years ago

Help and explanation with this probability question would be really appreciated :)

GuDViN [60]

Answer:

Step-by-step explanation:

The probability (PB) is .4 or 4/10 or 2/5.

So, we'd do a proportion.

2/5=x/6

Cross multiply.

5x=12

Divide by sides by 5.

x=2.4

We round up to account for the .4

so b

I can't answer c right now, but I'll come back once my class is over :)

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3 years ago

A study was conducted to investigate the relationship between the resale price, y (in hundreds of dollars), and the age, x (in y

GaryK [48]

Answer:

a. $121.07

b. $60.9

C. $20.03

Step-by-step explanation:

From the equation given

Y=181.7-20.21x

Where y is in dollars and X is in years

a. To find the resale price after 3years we have, we substitute x=3 into the given equation.

We have

y=181.7-20.21(3)

y=181.7-60.63

y=121.07

The resale price after 3years is $121.07

b. To find the resale price after 6years we have, we substitute x=6 into the given equation.

We have

y=181.7-20.21(6)

y=181.7-120.72

y=60.98

The resale price after 3years is $60.98

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[(x=3)-(x=6)]/3

=(121.07-60.98)/3

$20.03

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2 years ago

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valkas [14]

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