MATHEMATICS COLLEGE

89
80
? Find the exact length of the third side

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

if this was a triangle then 80+89=169 so if you add 11 then you get 180

Answer 2

Answer: It should be 11 I think that’s it

Related Questions

Lysera enjoys exploring her land on horseback with its lush green valleys and ancient forests. She can cover a great deal of ground on her horse, Princess Grey Dawn, traveling at 9 km/h. Unfortunately Lysera has allergies. How far would Lysera and Princess Gray Dawn have moved while Lysera’s eyes were shut for 0.50 s during a hard sneeze? (answer in kilometers)
Find the sum of 2x2 – 8x — 6 and 9x2 – 8.Answer:Submit Answer
Geometry proof help please
What is the distance between -34 and 16
Apply the Distributive Property 5(x + 3)

Which expression equals 24?

Answers

Answer:

Lots.

Step-by-step explanation:

12 + 12, 2 x 12, 48 divided 2, etc.

Lots of expressions make 24.

Answer:For this case we must find an expression equivalent to 24, including exponents. To do this, we decompose factor 24. By definition, factorial decomposition consists of writing a number as the multiplication of other numbers.

Then:

We have the "2" is written three times, then:

Answer:24 = 2 to the 3rd power x 3

Step-by-step explanation:

The profit on a teddy bear can be found by using the function P(x) = - 2x2 + 35x - 99 where x is the price of the bear.Calculate the price that maximizes profit.

Answers

Answer:

x=8.75

Step-by-step explanation:

The price x that maximizes profit is the maximum value of the function, and the maximum value of the function is located at a point where the first derivative of the function is equal to zero. The first derivative is:

$P(x) = - 2x^2+35x-99\nP'(x)=-2(2)x^((2-1))+35(1)-0\nP'(x)=-4x+35$

Using P'(x)=0:

$0=-4x+35\n4x=35\nx=35/4\nx=8.75$

The minimum value of the function is also at a point where the first derivative of the function is equal to zero. To differentiate if x=8. is a minimum or a maximum obtain the second derivative and evaluate it at x=8.75 if the value P''(x)>0 x is minimum and if P''(x)<0 x is a maximum.

$P'(x)=-4x+35\nP''(x)=-4(1)\nP''(x)=-4$

Evaluating at x=8.75:

$P''(8.75)=-4$

Therefore, x=8.75 is the maximum value of the function and it is the price that maximizes profit.

g let X be a normally distributed random variable with mean 3 and variance 4. a) Let Y = 5X+2. What is the distribution of Y? What are its mean and variance? b) Find P(Y<10). Find P(X<10). c) What is the 99th percentile of the distribution of Y? d) What is the 99th percentile of the distribution of X? e) What is the distribution of W = exp(Y)? What are its mean and variance?

Answers

a. Let $F_X(x)$ be the CDF of $X$ . The CDF of $Y$ is

$F_Y(y)=P(Y\le y)=P(5X+2\le y)=P\left(X\le\frac{y-2}5\right)=F_X\left(\frac{y-2}5\right)$

which is to say, $Y$ is also normally distributed, but with different parameters. In particular,

$E[Y]=E[5X+2]=5E[X]+2=17$

$\mathrm{Var}[Y]=\mathrm{Var}[5X+2]=5^2\mathrm{Var}[X]=100$

b. Using the appropriate CDFs, we have

$P(Y<10)=F_Y(10)=F_X\left(\frac{10-2}5\right)=F_X(1.6)\approx0.242$

$P(X<10)=F_X(10)\approx0.9998$

c. The 99th percentile for any distribution $D$ is the value of $d_(0.99)$ such that $P(D\le d_(0.99))=0.99$ , i.e. all values of $d$ below $d_(0.99)$ make up the lower 99% of the distribution.

We have

$P(Y\le y_(0.99))=0.99\implies y_(0.99)\approx40.26$

d. On the other hand, the 99th percentile for $X$ is

$P(X\le x_(0.99))=0.99\implies x_(0.99)\approx7.653$

e. We have

$F_W(w)=P(W\le w)=P\left(e^Y\le w\right)=P(Y\le\ln w)=F_Y(\ln w)$

which suggests that $\ln W$ is normally distributed, or $W$ is log-normally distributed. Recall that the moment-generating function for $Y$ is

$M_Y(t)=\exp\left(17t+\frac{100t^2}2\right)$

But we also have

$M_Y(t)=E[e^(tY)]=E[e^(t\ln W)]=E[W^t]$

Then

$E[W]=M_Y(1)=e^(67)$

and

$E[W^2]=M_Y(2)=e^(234)\implies\mathrm{Var}[W]=E[W^2]-E[W]^2=e^(234)-e^(134)$

In the diagram below of circle 0, GO = 8 andmZGOJ= 60°.
G
8
60°
What is the area, in terms of A, of the shaded
region?

Answers

Answer:

$\frac{80\pi}$

Step-by-step explanation:

Area of shaded region = θ/360 × πr²

Where,

θ = 360 - 60 = 300°

r = 8

Plug in the values

$area = (300)/(360) * \pi * 8²$

$= (5)/(6) * \pi * 64$

$= (5*\pi*64)/(6)$

$= \frac{5*\pi*16}$

$= \frac{80\pi}$

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept form)

Answers

Answer:

$\displaystyle y=-(1)/(2)x+4$

Step-by-step explanation:

Equation of a Line

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$