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3 years ago

Find the area of a space figure is its a rectagle with triangle on each end

Mathematics

1 answer:

vladimir1956 [14]3 years ago

5 0

Formula for surface area of a triangular prism: bh+2ls+lb
(7*4)+2(8*5)+(8*7)
28+80+56
=164 cm^2

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Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sampl

lidiya [134]

Answer:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

$\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}$

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

$x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13$

$x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88$

$x_3 = \frac{11.76+13.50}{2} = \frac{25.26}{2} = 12.63$

$x_4 = \frac{13.51+15.25}{2} = \frac{28.76}{2} = 14.38$

$x_5 = \frac{15.26+17.00}{2} = \frac{32.26}{2} = 16.13$

So, the table becomes:

$\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}$

Next, calculate the mean

$\bar x = \frac{\sum fx}{\sum f}$

$\bar x = \frac{20*9.13 + 38 * 10.88+36*12.63+25*14.38+27*16.13}{20+38+36+25+27}$

$\bar x = \frac{1845.73}{146}$

$\bar x = 12.64$

Next, the sample variance is:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}$

So, we have:

$\sigma^2 = \frac{20*(9.13-12.63)^2 + 38 * (10.88-12.63)^2 +...........+27 * (16.13 -12.63)^2}{20+38+36+25+27-1}$

$\sigma^2 = \frac{2393.6875}{145}$

$\sigma^2 = 16.51$

The sample standard deviation is:

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{16.51}$

$\sigma = 4.06$

6 0

2 years ago

Find 18% of 14. Use a decimal.

posledela

Answer:

Step-by-step explanation:

2.52

4 0

2 years ago

Read 2 more answers

A total of 200 10-year-old children of similar intellectual abilities participated in a noise experiment in their classrooms. Th

Vladimir79 [104]

Answer:

The dependent variable for this experiment is the ability of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment which depends on the presence or absence of noise outside the classroom.

Step-by-step explanation:

In an experiment, the independent variable is the one whose value, form or outcome is not determined by any other variable in the experiment.

The dependent variable is the one whose value, form or outcome is determined by one or more other variable(s) in the experiment.

This experiment tests the abilities of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment.

This ability was made to depend on whether there was noise or no noise outside their classrooms.

Since, this variable to be measured is determined by another variable in the experiment, it is evident that this is the dependent variable for this experiment.

Hope this Helps!!!

6 0

3 years ago

Jamie went to the his 6 friends. For each friend, he spent $4.75 for a sandwich, $1.25 for a cold beverage, and $.56 for a piece

masha68 [24]

Answer:

Jamie spent $39.36 in total.

Step-by-step explanation:

First, add the money spent for the sandwich, beverage, and fruit together.

4.75 + 1.25 + .56 = 6.56

Then, multiply the amount spent for one friend by six to find the total.

6.56 x 6 =39.36

I hope this helped you!

8 0

3 years ago

Please help to answer this question I’m really confused

igor_vitrenko [27]

Answer:

It would be B!

Step-by-step explanation:

D has an obtuse angle, so it can be eliminated.

C has angles that are not vertical, but rather adjacent. Same goes for A!

Hope this helps!

3 0

2 years ago