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3 years ago

The area of the triangle below is 10.6 square centimeters. What is the length of the base?

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

4 0

Answer:

Length of base = 5.3 cm

Step-by-step explanation:

Area of triangle

$= \frac{1}{2} \times b \times h \\ \\ 10.6 = \frac{1}{ \cancel2} \times b \times \cancel 4 \\ \\ 10.6 = 2b \\ \\ b = \frac{10.6}{2} \\ \\ b = 5.3 \: cm$

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magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the respondents, % chose

Alex73 [517]

Complete Question

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12 % chose chocolate pie, and the margin of error was given as plus or minus 5 percentage points.What values do $\r p , \ \r q$ , n, E, and p represent? If the confidence level is 90%, what is the value of $\alpha$ ?

Answer:

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$E$ is the margin of error is $E = 0.05$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e $\r q = 1- \r p$

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Step-by-step explanation:

Here

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e

$\r q = 1- \r p$

$\r q = 1- 0.12$

$\r q = 0.88$

$E$ is the margin of error is $E = 0.05$

Generally $\alpha$ is the level of significance and it value is mathematically evaluated as

$\alpha = ( 100 - C )\%$

Where $C$ is the confidence level which is given in this question as $C = 90 \%$

$\alpha = ( 100 - 90 )\%$

$\alpha = 10\%$

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