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kogti [31]
3 years ago
13

What is the sum of the arithmetic series below 2+5+8+...+56​

Mathematics
1 answer:
Naya [18.7K]3 years ago
7 0

Answer:

551

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}( first + last)

The number of terms is

a_{n} = a + (n - 1)d ← d is the common difference, a is the first term

d = 5 - 2 = 8 - 5 = 3, hence

2 + 3(n - 1) = 56

2 + 3n - 3 = 56

3n - 1 = 56 ⇒ 3n = 57 ⇒ n = 19

S_{19} = \frac{19}{2} ( 2 + 56 ) = 19 × 29 = 551

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Assume that emergency medical personnel in California are planning for future resources and it has been observed that the averag
larisa [96]

Answer:

Answer is 0.5

Step-by-step explanation:

The text implies that the number of traffic accidents determines the number of ambulances required on the road. Hence, 1 traffic accident requires 1 ambulance.

The time slot and time of day remain same in both the text and the question.

The average or mean number of accidents is 1.1

QUESTION: What then is the probability that there is need for exactly 2 ambulances on that road and in that time frame?

In other words, what is the probability that there'll be 2 accidents on that road and in that time frame?

Since the mean number of accidents is 1.1,  2 is above the mean.

Probability of 1.1 accidents is 1, since that's the mean (expected value).

Probability of 2 accidents is 1/2 which is = 0.5

4 0
3 years ago
Find the number of triangles with c =7, b=11, and B=21 degrees
muminat
<h3>Answer:</h3>

1

<h3>Step-by-step explanation:</h3>

The given angle is opposite the longest given side, so there will be exactly one solution.

_____

The number of solutions may be 0, 1, or 2 when the given angle is opposite the shortest given side.

6 0
3 years ago
Which pair of fractions is equivalent to this pair?
I am Lyosha [343]
The answer is B 10/18 and 3/18
8 0
3 years ago
A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?
Tpy6a [65]

Answer:

<h2>a = - 4.8</h2>

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

a \:  \:  \alpha  \:  \:  \frac{k}{b}

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

7.2=  \frac{k}{ - 4}

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

a =  -  \frac{28.8}{b}

When

b = 6

That's

a =  -  \frac{28.8}{6}

We have the final answer as

<h3>a = - 4.8</h3>

Hope this helps you

7 0
4 years ago
A loan officer makes $15 per hour working 2,000 hours each year. She also gets a fee of $35 for each loan she processes. If she
Afina-wow [57]

Answer:

$61,500

Step-by-step explanation:

For this problem, we will simply take her hourly wage and multiply that by the hours she worked and take her additional earnings for each loan processed and multiply that by the number of loans she processed.

Consider her hourly wage of $15 per hour. If she worked 2000 hours, then we can say she got paid ($15 * 2000) = $30000 for her work that year.

Consider her processing fee of $35 per loan processed. If she processed 900 loans, then we can say she got paid ($35 * 900) = $31500 for her processed loans that year.

Then, to find her yearly total earnings, we simply add those two values. $30000 + $31500 = $61500.

Thus the loan officer made $61500 that year.

Cheers.

7 0
3 years ago
Read 2 more answers
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