223×5<br><img src="https://tex.z-dn.net/?f=223%20%5Ctimes%205%20%20%3D%20" id="TexFormula1" title="223 \times 5 = " alt="223 \t

olga nikolaevna [1]

The Answer is 1/7(x-1)

5 0

3 years ago

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted: rectangle with a leng

photoshop1234 [79]

Answer:

C

Step-by-step explanation:

A patio=(x+15)*(x+10)

A bench=5*1=5

A painted=A patio-A bench

A painted=(x+15)*(x+10)-5

thus, the answer is C

3 0

4 years ago

If the correlation between height and weight of a large group of people is 0.74, find the coefficient of determination (as a per

Vika [28.1K]

Answer:

B. The coefficient of determination is 54.76%. Therefore, 54.76% of the variation in weight can be explained by the regression line.

Step-by-step explanation:

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The coefficient of determination is a measure to quantify how a model explains an dependent variable.

The formula for the correlation coeffcient is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

The formula for the coefficient of determination is $r^2$

In our case the correlation coefficient obtained was 0.74

And the determination coefficient is $R=0.74^2 =0.5476$ , and if we convert this into % we got 54.76%

Assume that height is the predictor (X) and weight is the response (Y)

And the best answer for this case is:

B. The coefficient of determination is 54.76%. Therefore, 54.76% of the variation in weight can be explained by the regression line.

4 0

3 years ago

Someone help me with this question please

Naily [24]

Answer: $t\geq 1$

Step-by-step explanation:

you would multiply by 3 on both sides to get the division to go away.

then subtract 8 from both sides.

then you have your answer

5 0

3 years ago

(Photo attached) Trig question. Please explain and thanks in advance! :)

nirvana33 [79]

Answer:

0.2036

Step-by-step explanation:

u = arcsin(0.391) ≈ 23.016737°

tan(u/2) = tan(11.508368°)

tan(u/2) ≈ 0.2036

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You can also use the trig identity ...

tan(α/2) = sin(α)/(1+cos(α))

and you can find cos(u) as cos(arcsin(0.391)) ≈ 0.920391

or using the trig identity ...

cos(α) = √(1 -sin²(α)) = √(1 -.152881) = √.847119

Then ...

tan(u/2) = 0.391/(1 +√0.847119)

tan(u/2) ≈ 0.2036

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<em>Comment on the solution</em>

These problems are probably intended to have you think about and use the trig half-angle and double-angle formulas. Since you need a calculator anyway for the roots and the division, it makes a certain amount of sense to use it for inverse trig functions. Finding the angle and the appropriate function of it is a lot easier than messing with trig identities, IMO.

6 0

3 years ago