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3 years ago

Look for a pattern and complete the conjecture.

Mathematics

2 answers:

denis-greek [22]3 years ago

4 0

Answer:

390

Step-by-step explanation:

The formula of sum of arithmetic sequence is $\frac{n}{2} (a+Tn)$

The number of this series are 2, 4, 6, 8, 10, 12, . . . . , 60.

The first term ( a ) = 2

The 30th even number is 60

The Tn is the term of the sequence

So the equation is

30/2 x ( 2 + $T_{30}$ )

$T_{30}$ = 60

30/2 x ( 2 + 60 )

30/2 x (62)

1860/2

390

ale4655 [162]3 years ago

4 0

390 is the answer to the problem

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What is 1/6 divided by 1/2

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The answer is 3

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aleksandrvk [35]

Answer:

It took Pedro 3.81 hours to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

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Formula for distance can be seen as:

$Distance = Speed\times Time$

Distance traveled by Mike = $4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles$

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2 years ago

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2 years ago

( 7x + 1/2) + ( 7x - 7 and 1/2) Simplify

pishuonlain [190]

Answer:

The answer will be 7(2x - 1)

Step-by-step explanation:

1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

$7x + \frac{1}{2} + 7x - \frac{7 \times 2 + 1}{2}$

2) Simplify 7 × 2 to 14 .

$7x + \frac{1}{2} + 7x - \frac{14 + 1}{2}$

3) Simplify 14 + 1 to 15.

$7x + \frac{1}{2} + 7x - \frac{15}{2}$

4) Collect like terms.

$(7x + 7x) + ( \frac{1}{2} - \frac{15}{2} )$

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$14x - 7$

6) Factor out the common term 7.

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2 years ago

The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a

Greeley [361]

The correct answer is 47.5%, or 0.475.

Explanation:
The empirical rule states that in any normal distribution:

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3 years ago

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