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Sever21 [200]
3 years ago
5

The tree diagram represents an

Mathematics
1 answer:
Vlad [161]3 years ago
6 0
<h3>Answer:  0.3</h3>

===============================================

Explanation:

Highlight the path that starts with A and then leads to D

Multiply the values highlighted to get 0.5*0.6 = 0.3

Effectively we've computed the following

P(A and D) = P(A)*P(D given A)

P(A and D) = 0.5*0.6

P(A and D) = 0.3

The notation "D given A" indicates we know event A has happened. We cannot simply say P(D) because there is another event D that happens on the lower branch B; so instead we say P(D given A). You can replace the word "given" with a vertical bar to write P(D | A), though in my opinion the vertical bar could be easily mistaken for the uppercase letter i, a lowercase letter L, or the numeric digit "one". I find its easier to describe what is going on rather than use the vertical bar notation.

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HELPPPPPPPPPPPPPPPPPPPP
SVEN [57.7K]
If x + y = 6, then solve for y to get: y = 6 - x.

Now replace y with 6 - x in both equations.

(5x)/3 + 6 - x = c

2(6 - x) = c - 4x

The upper equation is solved for c.
Now we solve the lower equation for c.

c = 2(6 - x) + 4x

c = 12 - 2x + 4x

c = 2x + 12

Since we have two equations solved for c, we substitute to get

(5x)/3 + 6 - x = 2x + 12

This is an equation in only x, so we can solve for x.

(5x)/3 - 3x = 6

5x - 9x = 18

-4x = 18

x = -9/2

Now we solve for y.

x + y = 6

-9/2 + y = 6

y = 9/2 + 12/2

y = 21/2

Now we solve for c.

c = (5x)/3 + y

c = (5 * (-9/2))/3 + 21/2

c = -45/6 + 21/2

c = -15/2 + 21/2

c = 6/2

c = 3

Answer: c = 3
7 0
3 years ago
The volume of this cone is 36π cubic units.
kap26 [50]

Answer:

108pi

Step-by-step explanation:

We do not need to know the height and radius, as the formula for the volume of a cone is just a third of the volume of a cylinder. So we have 36pi * 3 or 108pi.

4 0
3 years ago
The university is trying to compile a visual display of the different majors of honor roll students which type of display will g
nordsb [41]
I believe that the answer to the question provided above is that the <span>type of display will give them the best picture of her students data is a bar graph.</span>
Hope my answer would be a great help for you.    If you have more questions feel free to ask here at Brainly.
4 0
3 years ago
Read 2 more answers
A ________ is the complete collection of all measurements or data collected, whereas, a ________ is a subcollection of members s
telo118 [61]

Answer: Population and sample

Step-by-step explanation:

A population is the complete collection of all measurements or data collected, whereas, a sample is a subcollection of members selected from the complete collection

4 0
3 years ago
Read 2 more answers
A certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises
Firdavs [7]

Answer:

the required equation is; y = 21 sin(πt/6)

Step-by-step explanation:

Given the data in the question;

Water rises above sea level = 21 ft

Water drops below sea level = 21 ft

so

maximum = 21 ft and also

minimum = 21 ft

Amplitude = ( maximum + minimum ) / 2

Amplitude = ( 21 + 21 ) / 2

Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft

Period = 12 hours

and we know that; period = 2π/b

so

12 = 2π/b

12b = 2π

b = 2π / 12

b = π/6

Standard equation for simple harmonic is; y = asin(bt)

we substitute

y = 21 sin(πt/6)

Hence the required equation is; y = 21 sin(πt/6)

7 0
3 years ago
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