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3 years ago

A point is chosen randomly on JM. Identify the probability that the point is NOT on JK or KL.

Mathematics

2 answers:

stiks02 [169]3 years ago

4 0

c.4/11

the correct answer

Eddi Din [679]3 years ago

3 0

Answer:

Step-by-step explanation:

4/11

The whole line is 8 + 34 + 24 units long, or 66 units.

Then since we're solving for not JK or JL, we look at the length of LM.

LM is 24 units long so the probability a point will be on LM will be 24/66.

We can simplify this fraction by dividing the top and the bottom by 6, which will result in 4/11.

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What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.

anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

$a_1=-12\\a_2=-7\\a_3=-2\\a_4=3$

$d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5$

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference$

Putting the values in the formula

$a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n$

Putting n=32 in explicit formula

$a_{32}=-17+5(32)\\=-17+160\\=143$

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

P = 4 + 2w - 5 for w

liq [111]

Answer:

w = P /2 + 1 /2

Step-by-step explanation:

6 0

3 years ago

Subtract: What is 20 - (-3) ?

MAVERICK [17]

Answer: 23

Step-by-step explanation: a P e X

4 0

3 years ago

55% as a fraction in simplest form.

nirvana33 [79]

Answer: 11/20
55/100 simplified is 11/20

3 0

3 years ago

A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train trav

Soloha48 [4]

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

7 0

3 years ago