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Genrish500 [490]
3 years ago
11

A Sample Of 100 Clients Of An Exercise Facility Was Selected. Let X- The Number Of Days Per Week That A Randomly Selected Client

Uses The Exercise Facility X | Frequency | 1 15 2 30 3 28 4 1O Find The Number That Is 1.5 Standard Deviations BELOw The Mean. (Round Your Answer To Three Decimal Places.)
Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0

Answer: 1.013

Step-by-step explanation:

Given the following data :

X_______f___fx___fx²

1_______15__15___15

2______30__60__120

3______28__84__252

4______10__40___160

______ 83__199__547

Number that is 1.5 standard deviations below the mean :

Mean(m) :

Σfx /Σf

(15 + 30 + 28 + 10) / 83

= 199 / 83

= 2.3976

Standard deviation(s) :

Sqrt[(Σfx² - (Σfx)²/Σf) /Σf-1]

sqrt[(547 - (199)²/83) / 83 - 1]

sqrt[(547 - (39601/83) / 82]

sqrt[(547 - 477.12) / 82]

sqrt(0.8522)

Standard deviation = 0.9231

1.5 standard deviations below the mean:

Mean - 1.5(standard deviation)

2.3976 - 1.5(0.9231)

2.3976 -1.38465

= 1.01295

= 1.013

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Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (
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8 0
4 years ago
A total of $12,000 is invested at an annual interest rate of 9%. Find the balance
sineoko [7]

Answer:

$18,726.11

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First lets change 9% into a decimal:

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Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

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A=18,726.11

<u>The balance after 5 years is $18,726.11</u>

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4 years ago
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