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maksim [4K]
3 years ago
14

What is the probability of the following.

Mathematics
1 answer:
julsineya [31]3 years ago
8 0

Answer:

Step-by-step explanation:

P(A)=1

P(B)=0

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jason mixed 8ml of a salt solution with 11ml of a 47% salt solution to make a 43%salt solution. find the percent salt concentrat
choli [55]

Let x% be the salt concentration of first solution.

Then in 8ml, amount of salt = \frac{8x}{100}

Given that to this 8ml solution, 11ml solution of a 47% salt solution is mixed.

amount of salt in 11ml of 47% salt solution is \frac{11*47}{100} = \frac{517}{100}

So, total amount of salt in new mixture = \frac{8x}{100} +\frac{517}{100} = \frac{8x+517}{100}

But given that this new solution is a 43% salt solution.

Hence amount of salt in new mixture of (8+11)=19ml solution of 43% salt solution is \frac{19*43}{100} = \frac{817}{100}

Hence \frac{8x+517}{100} = \frac{817}{100}

            8x+517 = 817

             8x=817-517 = 300

          x= 300/8 = 37.5

Hence the salt concentration in the first solution is 37.5%

8 0
3 years ago
Points J and K are midpoints of the sides of triangle FGH. Triangle F G H is cut by lines segment J K. Point J is the midpoint o
anastassius [24]

Answer:

Value of y = 7

Step-by-step explanation:

By the midpoint theorem of the triangles,

"Segment joining midpoints of the two sides of a triangle is parallel to the third side and measure half the length of the third side."

Therefore, from the figure attached,

In ΔFGH,

J and K are the mid points of the two sides GH and FH.

By theorem, segment JK║GF and m(JK) = \frac{1}{2}m(FG)

(2y+5)=\frac{1}{2}(5y+3)

(5y + 3) = 2(2y + 5)

5y + 3 = 4y + 10

5y - 4y = 10 - 3

y = 7

7 0
3 years ago
Read 2 more answers
What is the best approximation of the surface area of this right cone?
inn [45]
\bf \textit{total surface area of a cone}\\\\
s=\pi r\sqrt{r^2+h^2}+\pi r^2\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=12\\
h=9
\end{cases}
\\\\\\
s=\pi (12)\sqrt{12^2+9^2}+\pi (12^2)\implies s=12\pi \sqrt{225}+144\pi 
\\\\\\
s=12\pi (15)+144\pi \implies s=180\pi +144\pi \implies s=324\pi
8 0
3 years ago
What is a measurement 90 degrees called
romanna [79]
It would be a right angle
4 0
2 years ago
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Is (-3,4) a solution to the equation y=3x+107<br> O A solution<br> O Not a solution
Ira Lisetskai [31]

Answer:

no

Step-by-step explanation:

its is not a solution, however if the equal sign actually looks like

\leqslant

then it would be yes

4 0
2 years ago
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