The table shows how many of each type of movie are being shown at a theater.

Not sure f either of my answers would satisfy the question in the second picture

xz_007 [3.2K]

$\bf \begin{array}{llll}
tan(\alpha)=-\cfrac{80}{15}\qquad II\\\\
x=-15\\
y=8\\
r=17
\end{array} \qquad \qquad 
\begin{array}{llll}
cos(\beta)=\cfrac{5}{6}\qquad I\\\\
x=5\\
y=\sqrt{11}\\
r=6
\end{array}\\\\
-----------------------------\\\\
sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\\\\\
sin({{ \alpha}} + {{ \beta}})=\cfrac{8}{17}\cdot \cfrac{5}{6}+\cfrac{-15}{17}\cdot \cfrac{\sqrt{11}}{6}\implies \cfrac{40-15\sqrt{11}}{102}$

$\bf cos({{ \alpha}} + {{ \beta}})= cos({{ \alpha}})cos({{ \beta}})- sin({{ \alpha}})sin({{ \beta}})
\\\\\\
\cfrac{-15}{17}\cdot \cfrac{5}{6}-\cfrac{8}{17}\cdot \cfrac{\sqrt{11}}{6}\implies \cfrac{-75-8\sqrt{11}}{102}$

$\bf tan({{ \alpha}} + {{ \beta}}) = \cfrac{tan({{ \alpha}})+ tan({{ \beta}})}{1- tan({{ \alpha}})tan({{ \beta}})}
\\\\\\
tan({{ \alpha}} + {{ \beta}}) = \cfrac{-\frac{8}{15}+\frac{\sqrt{11}}{5}}{1-\left( -\frac{8}{15}\cdot \frac{\sqrt{11}}{5} \right)}\implies 
\cfrac{\frac{-8+3\sqrt{11}}{15}}{1+\frac{8\sqrt{11}}{75}}
\\\\\\
tan({{ \alpha}} + {{ \beta}}) =\cfrac{\frac{-8+3\sqrt{11}}{15}}{\frac{75+8\sqrt{11}}{75}}\implies \cfrac{-8+3\sqrt{11}}{15}\cdot \cfrac{75}{75+8\sqrt{11}}
\\\\\\
$

$\bf tan({{ \alpha}} + {{ \beta}}) =\cfrac{-8+3\sqrt{11}}{1}\cdot \cfrac{3}{75+8\sqrt{11}}\implies \cfrac{15\sqrt{11}-40}{75+8\sqrt{11}}$

6 0

4 years ago

The workers at a nursery plant 37 trees in each of 15 parks. They plant 42 trees in each of 23 parks.

Gekata [30.6K]

Answer:276

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers

3. Please answer the following questions: a. What criterion in regression are we trying to minimize when we estimate our regress

Damm [24]

Answer:

Regression : Impact of y on x ; Regression Function : y = a + b(x)

Optimum Least square criteria, with assumptions - linear parameters, homoscedasticity, no autocorrelation, no multicollinearity.

Step-by-step explanation:

Regression is a statistical tool used to calculate the impact of independent/ explanatory variable (x) on dependent variable (y). Eg : Impact of temperature on ice cream sales.

Population regression function is linear function, establishing a hypothetical theoretical relationship between independent variable x & dependent variable y.

Regression Equation is : y = a + b(x) ;

where : a is the autonomous value of dependent variable y ; b represents the coefficient of change in dependent variable y due to change in independent variable x.

Optimum Least Square method criterion is used while estimating regression model. The criteria minimises the squares of residuals, where residuals are the differences between observed values & estimated values. It is used as a measure of how well the estimated regression line fits the actual data.

Assumptions made while an OLS regression model are : Linear in parameters, Homoscedasticity (variables constant errors), No autocorrelation (errors correlation), No multicollinearity ( independent variables' correlation)

8 0

3 years ago

A certain type of plywood consists of six layers. The thickness of the layers are independent and normally distributed with mean

Ira Lisetskai [31]

Answer:

a.) The mean of the six layered plywood is 30 mm

The standard deviation is 0.49 mm

b.) That the thickness is less than 28 mm has a probability of 0.000022.

Step-by-step explanation:

There are six layers in a plywood that is considered. It is also given that the layers are independent and normally distributed.

The thickness of the layers of the plywood have a mean, $\mu$ = 5 mm