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3 years ago

Please help have a lot of lessons

Mathematics

2 answers:

scZoUnD [109]3 years ago

5 0

Answer:

SA = 46 in^2

Step-by-step explanation:

SA = 2lh + 2lw + 2hw

SA = 2(5)(1) + 2(5)(3) + 2(1)(3)

SA = 10 + 30 + 6

SA = 46

just olya [345]3 years ago

3 0

Step-by-step explanation:

the surface area of rectangular prism is 46 inches square.

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3 years ago

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"Select the equation of the least squares line for the data: (34.0, 1.30), (32.5, 3.25), (35.0, .65), (31.0, 6.50), (30.0, 5.85)

yulyashka [42]

Answer:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

Step-by-step explanation:

We assume that the data is this one:

x: 34.0, 32.5, 35.0, 31.0, 30.0, 27.5, 29.0

y: 1.30, 3.25, 0.65, 6.50, 5.85, 8.45, 6.50

Find the least-squares line appropriate for this data.

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 34.0+ 32.5+ 35.0+ 31.0+ 30.0+ 27.5+ 29.0
=219$

$\sum_{i=1}^n y_i =1.3+3.25+0.65+6.5+5.85+8.45+6.5=32.5$

$\sum_{i=1}^n x^2_i = 34.0^2+ 32.5^2+ 35.0^2+ 31.0^2+ 30.0^2+ 27.5^2+ 29.0^2
=6895.5$

$\sum_{i=1}^n y^2_i =1.3^2+3.25^2+0.65^2+6.5^2+5.85^2+8.45^2+6.5^2=202.8$

$\sum_{i=1}^n x_i y_i =34*1.3 + 32.5*3.25+ 35*0.65+ 31*6.5+30*5.585 +27.5*8.45 +29*6.5=970.45$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6895.5-\frac{219^2}{7}=43.929$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=970.45-\frac{219*32.5}{7}=-46.336$

And the slope would be:

$m=-\frac{46.336}{43.929}=-1.055$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{219}{7}=31.286$

$\bar y= \frac{\sum y_i}{n}=\frac{32.5}{7}=4.643$

And we can find the intercept using this:

$b=\bar y -m \bar x=4.643-(-1.055*31.286)=37.643$

So the line would be given by:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

5 0

4 years ago

Melissa needs 3.87 feet of string to use as a border for her poster. Melissa finds a piece of string that is 4.25 feet long. How

Tasya [4]

[tex] 4.25 - 3.87 = .38ft [tex]

7 0

4 years ago

Maria and John have decided that once they live in a house, they want to have a pet. They go to an animal shelter and find sever

rosijanka [135]

Answer:

A. 0.47 ; B. 0.40 ; C. 0.73 ; D. 0.23 & 4.26

Step-by-step explanation:

Total Animals = Total Possible Outcomes = 8 + 12 + 6 + 5 + 11 = 42
Probability = No. of Possible Outcomes / No.of total outcomes
Odds in favour of event = Prob (Event) / Prob (No Event) ; Odds in against event = Prob (No Event) / Prob (Event)

A. Probability of choosing a Cat = All no. of cats / Total no. of animals

= ( 8 + 12 ) / 42 = 20 / 42 = 0.47

B. Probability of choosing a Common Cat or a Labrador Retriever :-

No. of common cats + no.of labrador retrievers / Total Animals

= (12 + 5) / 42 = 17 / 42 = 0.40

C. Probability of selecting non 'mixed breed' dog :-

No. of animals except mix breed dogs / Total Animals

= ( 8 + 12 + 6 + 5 ) / 42 = 31 / 42 = 0.73

D. Probability of choosing Siamese cat = Siamese Cat / Total Animals = 8 / 42 = 0.19 ; Probability Not choosing Siamese Cat = 1 - Prob (Siamese Cat) = 1- 0.19 = 0.81.

Odds in favour of choosing Siamese Cat :-

Prob (Siamese cat) / Prob (Not Siamese Cat) = 0.19 / 0.81 = 0.23

Odds against choosing Siamese Cat :-

Prob (Not Siamese Cat) / Siamese Cat = 0.81 / 0.19 = 4.26

4 0

3 years ago