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KengaRu [80]
3 years ago
7

The weather forecast gives a 20% chance of rain tomorrow. If it is fine, the probability that Bernard will go sailing is 80%, bu

t if it rains, the probability that he will go sailing is only 10%. Display the sample space of possible outcomes on a tree diagram. Determine the probability that tomorrow:
a. is fine and Bernard goes sailing
b. is wet and Bernard does not go sailing
c. Bernard goes sailing.

help me! I've got the answer but doesn't if it's correct.
my answer:
a. 80%
b. 90%
c. 9/10​
Mathematics
1 answer:
diamong [38]3 years ago
6 0
It would be c if I am wrong don’t get mad plz
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given y>0 and dy/dx=(3x^2+4x)/yif the point (1,√10) is on the graph relating x and y, then what is y when x=0
jonny [76]
\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3x^2+4x}y\iff y\,\mathrm dy=(3x^2+4x)\,\mathrm dx
\implies\displaystyle\int y\,\mathrm dy=\int(3x^2+4x)\,\mathrm dx
\implies \dfrac12y^2=x^3+2x^2+C

When x=1 you have y=\sqrt{10}, so

\dfrac12(\sqrt{10})^2=1^3+2(1)^2+C\implies 5=1+2+C\implies C=2

and so the particular solution to the ODE is

\dfrac12y^2=x^3+2x^2+2

Then when x=0, you get

\dfrac12y^2=0^3+2(0)^2+2=2
\implies y^2=4
\implies y=2

where we omitted the negative root because it's given that y>0.
4 0
3 years ago
F(x)=2x-3, solve when x=0,-1,2 <br> answers <br> A-3, -1,1 <br> B-3,-5,1 <br> C3,-1,1 <br> D-3,-1,7
guajiro [1.7K]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Using long division to find the quotient, what changes do you first
lora16 [44]

Answer:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

Step-by-step explanation:

Given

Dividend = 125x^3 - 8

Divisor = 5x - 2

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

\frac{125x^3}{5x} =25x^2

Write 25x^2 at the top

Multiply 5x - 2 by 25x^2

= 125x^3 - 50x^2

Subtract from 125x^3 - 8

i.e.

125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8

Step 2:

Divide 50x^2 by 5x

\frac{50x^2}{5x} = 10x

Write 10x at the top

Multiply 5x - 2 by 10x

= 50x^2 - 20x

Subtract from 50x^2 - 8

i.e.

50x^2 - 8 - (50x^2 - 20x) = 20x - 8

Step 3:

Divide 20x by 5x

\frac{20x}{5x} = 4

Write 4 at the top

Multiply 5x - 2 by 4

= 20x - 8

Subtract from 20x - 8

i.e.

20x - 8 - (20x - 8) = 0

Hence:

\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4

8 0
3 years ago
Answers Jesse and Amir, write the system of equations using your answers from 1 and 2
babymother [125]

Answer:

? what are the answers from 1 and 2?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
GETS BRAINILIST!!!!!!!The table shows the relationship of how many pounds of cherries are needed to make a certain number of pie
dexar [7]

Answer:

Graph 3

Step-by-step explanation:

EXAMPLE    6=60

                    4= 40

SINCE THERE IS NO NORMAL NUMBERS AND THERE ARE 10 , 20 ,30 ETC..

THE NORMAL NUMBERS TURN INTO 10 20 AND SO ON..

HOPE IT HELPS

8 0
3 years ago
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