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3 years ago

14

What is 15 liters increased by 60%

1 answer:

swat323 years ago

7 0

100%=15
increae by 60%
100+60=160
160% of 15
15 times 1.60=24

24 liters

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ratelena [41]

You can use either of these, depending on your teacher.
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3 years ago

20 points! And BRAINLIEST!

SVEN [57.7K]

Answer:

32 sq. ft.

Step-by-step explanation:

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3 years ago

Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation:

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Answer:

a

$\= x = 18.5$ , $\sigma = 5.15$

b

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c

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Step-by-step explanation:

From the question we are are told that

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$\sigma = \sqrt{\frac{\sum (x- \=x )^2}{n}}$

$\sigma = \sqrt{\frac{\sum ((21 - 18.5)^2 + (14-18.5)^2+ (13-18.5)^2+ (24-18.5)^2+ (17-18.5)^2+ (22-18.5)^2+ (25-18.5)^2+ (12 -18.5)^2 )}{8}}$

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Given that the confidence level is 90% then the significance level is evaluated as

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$Z_{\frac{ \alpha }{2} } = 1.645$

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$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

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$\= x - E < \mu < \= x + E$

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$18.5 - 2.995 < \mu < 18.5 + 2.995$

$15.505 < \mu < 21.495$

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Given that the confidence level is 95% then the significance level is evaluated as

$\alpha = 100-95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{ \alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E =1.96 * \frac{5.15 }{\sqrt{8} }$

=> $E = 3.569$

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$\= x - E < \mu < \= x + E$

substituting values

$18.5 - 3.569 < \mu < 18.5 + 3.569$

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3 years ago