What is -5(2a-3b)+5(3b-2a) simplified?

Brian, a landscape architect, submitted a bid on each of three home landscaping projects. He estimates that the probabilities of

lesantik [10]

Answer:

a: 0.08, or 8% chance he wins all 3

b: 0.42, or 42% chance he wins 2

Step-by-step explanation:

P(win A) = 0.8

P(lose A) = 0.2

P(win B) = 0.5

P(lose B) = 0.5

P(win C) = 0.2

P(lose C) = 0.8

The situations are independent, so we multiply probabilities together.

To win all 3: P(win A)*P(win B)*P(win C) = 0.8*0.5*.02 = 0.08

To win 2 of the 3 there are 3 ways to do this. We add up the probabilities of the 3 situations...

P(win A)*P(win B)*(lose C) = 0.8*0.5*0.8 = 0.32

P(win A)*P(lose B)*P(win C) = 0.8*0.5*0.2 = 0.08

P(lose A)*P(win B)*P(win C) = 0.2*0.5*.02 = 0.02

0.32 + 0.08 + 0.02 = 0.42

5 0

3 years ago

iTunes and Amazon each have plans for downloading music. iTunes charges $5.00 to join and $0.75 per song. Amazon has no fee to j

aleksandrvk [35]

Answer:

20 songs.

Step-by-step explanation:

we are given that, iTunes charges $5.00 to join and $0.75 per song.

Amazon has no fee to join and charges $1.00 per song.

Let x songs would you have to download (same number of downloads for each company) so that the prices are the same.

Then we can write

$5+0.75x=1x\\\text{take like terms together by adding -0.75x on both the sides}\\5+0.75x-0.75x=1x-0.75x\\5=0.25x\\\text{Divide both the sides by 0.25}\\x=20$

7 0

3 years ago

Suppose that you need to create a list of n values that have a specific known mean. Some of the n values can be freely selected.

Leno4ka [110]

As the problem indicates, degrees of freedom are the number of values that can be independently selected before it is necessary to choose specific values to arrive at the desired result.

The average, on the other hand, results from the sum of a list of values divided by the amount of values in the summed list.

Assume that the mean sought is $x$ and consider that the list is composed of a single element $a$ , in that case no random number can be selected, since the mean $x$ must correspond to that number.

If the list were composed of two elements $a$ and $b$ , one of the two values could be chosen randomly, and according to the chosen value the second should be the one whose sum with the previous one results in $2x$ , this given that the formula of the average $\sum\limits_{i=1}^n \frac{ x_{i}}{n}$ .

With three values $a$ , $b$ and $c$ , it is possible to select two freely, since the thirteen must be the one that balances the sum of $a+b$ , that is $(a + b) + c = 3x$ .

Thus, in general, with n values, it is possible to select $n-1$ values freely whose sum must be balanced by the last value so that the whole sum is $nx$ .

Answer

In a list of $\bf{n}$ values you can assign $\bf{n-1}$ values freely, that is, you have $n-1$ degrees of freedom.

6 0

3 years ago

Simplify: -14cd-2c^2d^2+15cd+9c^2d^2-15cd

MaRussiya [10]

7c^2d^2-14cd

Hope this helps a bunch!!!!!!!!!!!!

7 0

3 years ago

A sector of a circle has a central angle of 100 degrees. If the area of the sector is 50pi, what is the radius of the circle

MrMuchimi

The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.

Learn more about the area of a sector at

brainly.com/question/22972014

#SPJ4

8 0

1 year ago