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kotykmax [81]
3 years ago
8

Please answer the picture below!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Temka [501]3 years ago
7 0

Surface area of the base = 4^2 = 16 units^2.

Area of each triangular side = 1/2 * 4 * 3 = 6 unts^2

Total surface area of the pyramid = 16 + 4 * 6 = 40 unit^2 (answer)

Paraphin [41]3 years ago
7 0
The formula is:
SA = s2 + 2 × s × l where s is the base side pf the piramid which is 4, and "l" is the slant hight pf the piramid the imaginary line from the tip of the piramid going perpendicular on the piramid square surface.
SA = 4^2 + 2x4x3,60
SA = 44,8

SA is the Surface Area

For detailed solving check my picture attached!

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For neighborhood parks of a given size, the equation yˆ=7.219x+2.033 models the number of children at a park, where x is the num
Soloha48 [4]
I'm not 100% sure, but I believe the answer would be:
D. For every additional adult at the park, the number of children increases by about 7. 
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6 0
3 years ago
Read 2 more answers
A jacket cost $35.50 more than a pair of tennis shoes if the total cost of both items is $161.30 find the cost of each
Mice21 [21]

Answer:

$62.9 and $98.4

Step-by-step explanation:

Let the cost of tennis shoe be x

Since a jacket cost $35.50 more than a pair of tennis shoe,

Then cost of jacket would be

= $35.50 + x

Total cost of both items would be;

x + $35.50 + x = $161.30

2x = $161.30 - $35.50

2x = $125.8

x = $62.9

Therefore, cost of pair of tennis shoe is $62.9

Jacket cost would now be

= $35.5 + x

= $35.5 + $62.9

= $98.4

6 0
3 years ago
A linear regression model is fitted to the data x y 37.0 65.0 36.4 67.2 35.8 70.3 34.3 71.9 33.7 73.8 32.1 75.7 31.5 77.9 with x
andrey2020 [161]

Answer:

b0= 144.59

b= -2.12

Se²= 1.02

99%CI E(Y/X=35): [68.78; 71.99]

Step-by-step explanation:

Hello!

I've arranged the given data:

X: 37.0, 36.4, 35.8, 34.3, 33.7, 32.1, 31.5

Y: 65.0, 67.2, 70.3, 71.9, 73.8, 75.7, 77.9

The equation of the linear regression model is:

Yi= β₀ + βXi + εi

Where

Yi is the dependent variable

Xi is the independent variable

εi represents the errors or residues

β₀ is the intercept of the line

β is the slope

The conditions to make a linear regression analysis are:

For each given value of X, there is a population of Y~N(μy;σy²)

Each value of Y is independent of the others.

The population variances of each population of Y are equal.

From these conditions the following characteristic is deduced:

εi~N(0;σ²)

The parameters of the regression are:

β₀, β, and σ²

If the conditions are met then you can estimate the regression line:

Yi= bo * bXi + ei.

And the point estimation of the parameters can be calculated using the formulas:

β₀ ⇒ b0= (∑y/n)-b(∑x/n)

β ⇒ b= [∑xy- ((∑x)(∑y))/n]/(∑x²-((∑x)²/n))

σ²⇒ Se²= 1/(n-2)*[∑y²-(∑y)²/n - b²(∑x²-(∑x)²/n)]

n= 7

∑y= 501.80

∑y²= 36097.88

∑x= 240.80

∑x²= 8310.44

∑xy= 17204.87

b0= 144.59

b= -2.12

Se²= 1.02

The estimated regression line is:

Yi= 144.59 -2.12Xi

You need to calculate a 99%CI E(Y/X=35), the formula is:

(b0 + bX0) ± t_{n-2;1-\alpha /2}*\sqrt{S_e^2(\frac{1}{n}+\frac{(X_0-X[bar])^2}{sumX^2-(\frac{(sumX)^2}{n} )} )}

(144.59 + (-2.12*35)) ± 4.032*\sqrt{1.02(\frac{1}{7}+\frac{(35-34.4)^2}{8310.44-(\frac{(240.80)^2}{7} )} )}

[68.78; 71.99]

With a 99% confidence level youd expect that the interval [68.78; 71.99] contains the true value of the average of Y when X= 35.

I hope it helps!

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3 years ago
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6 x 3 is 18.  y is equal to 4.  18 minus 4 is 14.  The answer is 14.
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