What is the slope that passes through

The admission fee at the Smithsonian Air & Space

mel-nik [20]

A. 1.50c+ 4.00a = 5050 (Money earned)
c + a =2200 (Guests in the museum)

6 0

3 years ago

Please consider the following values for the variables X and Y. Treat each row as a pair of scores for the variables X and Y (wi

Studentka2010 [4]

Answer:

The Pearson's coefficient of correlation between the is 0.700.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:

$r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}$

The formula to compute covariance is:

$Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y$

The formula to compute the variances are:

$V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}$

Consider the table attached below.

Compute the covariance as follows:

$Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y$

$=(5\times 165)-(30\times 25)\\=75$

Thus, the covariance is 75.

Compute the variance of X and Y as follows:

$V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\=(5\times 226)-(30)^{2}\\=230\\\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}\\=(5\times 135)-(25)^{2}\\=50$

Compute the correlation coefficient as follows:

$r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}$

$=\frac{75}{\sqrt{230\times 50}}$

$=0.69937\\\approx0.70$

Thus, the Pearson's coefficient of correlation between the is 0.700.

5 0

3 years ago

Rita earns $10 per hour. She puts 5% of her earnings in savings. Write inequality to find how many hours Rita must work to save

Rina8888 [55]

Answer:

Rita must work 50 days to save at least $25.

Step-by-step explanation:

The amount Rita earns per hour = $10

The saving percentage = 5%

So, the savings of Rita per hour = 5% of $10

⇒5% of $10 = $\frac{5}{100} \times 10 = 0.5$

or Rita saves $0.5 per hour.

The amount she wants to save at minimum = $25

So, let she works at the minimum of k Days.

⇒ $\textrm{The number of hours she has to work} = \frac{\textrm{Amount she needs saving}}{\textrm{Amount saved in 1 hour}}$

or, $k = \frac{25}{0.5} = 50$

The number of hours she has to work = 50 days

Hence, Rita must work 50 days to save at least $25.

3 0

3 years ago

Factor this expression completely, then place the factors in the proper location on the grid. (Hint: First, factor using differe

Anna [14]

Answer: x= y =

Step-by-step explanation:

3 0

3 years ago

I can’t figure this out at all.

Liula [17]

The fact that this triangle is a right angle triangle makes you now have 2 angles and the 1 side given, so it should be solvable.
First, You know that A=46 and C=90 as it is the right angle, and you know that the sum of any triangle's angles is 180. so now B=180-(90-46)=44
Now to the sides,
sin(B)=opp./hyp.=b/c=8/c=sin(44)
so, c=8/sin(44) which is approximately 11.52 unit length
now, use Pythagoras to find a,
a=√c²-b² =√11.52²-8² which is approximately 8.3 unit length.
Hope this helps.

6 0

3 years ago