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4 years ago

BC is parallel to DE What is AC?

Mathematics

2 answers:

Olenka [21]4 years ago

6 0

Answer:

the answer is indeed 12

DaniilM [7]4 years ago

3 0

ΔABC ~ ΔADE
AC/AE = AB/AD
AC/(AC+15) = 8/18
18AC = 8(AC+15)
18AC = 8AC + 120
18AC - 8AC = 120
10AC = 120
AC = 120/10
AC = 12

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krok68 [10]

Answer:

$-18x^2y^6$

Step-by-step explanation:

we have

$(3xy^2)(-6xy^4)$

Applying property of exponents

$x^{m} x^{n}=x^{m+n}$

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3 years ago

Victoria is interested in opening her own candy store. She has researched and found that of the 14 stores she investigated, the

Anna71 [15]

Answer:

99% confidence interval for the average start up cost is [76.575 , 123.425].

Step-by-step explanation:

We are given that of the 14 stores Victoria investigated, the average start up cost is 100 thousand dollars with a standard deviation of 29.1 thousand dollars.

So, the pivotal quantity for 99% confidence interval for the population average start up cost is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average start up cost = 100 thousand dollars

$\sigma$ = sample standard deviation = 29.1 thousand dollars

n = sample of stores = 14

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So, 99% confidence interval for the average start up cost, $\mu$ is ;

P(-3.012 < $t_1_3$ < 3.012) = 0.99

P(-3.012 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 3.012) = 0.99

P( $-3.012 \times {\frac{s}{\sqrt{n} }$ < ${\bar X - \mu}$ < $3.012 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

P( $\bar X-3.012 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +3.012 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

99% confidence interval for $\mu$ = [ $\bar X-3.012 \times {\frac{s}{\sqrt{n} }$ , $\bar X +3.012 \times {\frac{s}{\sqrt{n} }$ ]

= [ $100-3.012 \times {\frac{29.1}{\sqrt{14} }$ , $100+3.012 \times {\frac{29.1}{\sqrt{14} }$ ]

= [76.575 , 123.425]

Therefore, 99% confidence interval for the population average start up cost for a candy store is [76.575 , 123.425].

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3 years ago

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Answer:

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