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Kisachek [45]
3 years ago
7

What is the sum of the geometric series in which a1 = 4, r = 2, and an = 512?

Mathematics
1 answer:
OLga [1]3 years ago
6 0
Geometric series is a series of numbers where the ratios of successive terms are the same. <span> To answer this problem, the information that we need to know are the first first term, the number of terms and the ratio of any successive terms. First we get the number of terms by the equation: 
an= a1(r)^(n-1) solve for n, which results to 8. 
Then the sum is computed by the equation:
Sn = a1(((r)^n)-1)/(r-1))
The answer is then A 1,020</span>
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Answer:

A. 7 pounds

B. $1.60

Step-by-step explanation:

For A you Divide 21 by 3

For B you Divide 14 by 9

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2 years ago
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13. Mr. Carmello drives 30 miles each
Sauron [17]

Answer:

240 miles

Step-by-step explanation:

he drives 30 miles there and back which is 60 miles and 6 times 4 is 24 so 60 times 4 is 240

8 0
3 years ago
enrollment in the ski/snowboard club increased by 30% this year. there are now 182 students in the club. how many students were
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Enrolement increased by 30% that means last year=100%
incease of 30%=30+100=130% now

now=182

percent means parts out of 100 so
130%=130/100=13/10


182=13/10 of x (x represents the number last year)
of means multipy so
182=13/10 times x
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3 years ago
The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of
Ipatiy [6.2K]

Answer:

a) 0.4121

b) $588

Step-by-step explanation:

Mean μ = $633

Standard deviation σ = $45.

Required:

a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?

We solve using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = $646

z = 646 - 633/45

z = 0.22222

Probability value from Z-Table:

P(x<646) = 0.58793

P(x>646) = 1 - P(x<646) = 0.41207

≈ 0.4121

b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)

Converting 0.16 to percentage = 0.16 × 100% = 16%

The z score of 16%

= -0.994

We are to find x

Using z score formula

z = (x-μ)/σ

-0.994 = x - 633/45

Cross Multiply

-0.994 × 45 = x - 633

-44.73 = x - 633

x = -44.73 + 633

x = $588.27

Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16

is $588

7 0
3 years ago
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