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algol [13]
3 years ago
13

What's the probability? Please read carefully

Mathematics
1 answer:
Tamiku [17]3 years ago
5 0
Answer: 5/14

--------------------------------------------------

Explanation:

A = event of drawing a blue card on the first selection
B = event of drawing a blue card on the second selection

P(A) = probability of drawing a blue card on the first selection
P(A) = (number of blue cards)/(number of cards total)
P(A) = 5/8

P(B|A) = probability of getting a second blue card GIVEN the first card is blue
P(B|A) = (number of blue cards left after event A happens)/(number of cards left)
P(B|A) = 4/7

The fact that B depends on A is very important. This happens because the first card is not replaced

Multiply the fractions
P(A)*P(B|A) = (5/8)*(4/7)
P(A)*P(B|A) = (5*4)/(8*7)
P(A)*P(B|A) = 20/56
P(A)*P(B|A) = 5/14

Which is why the answer is the fraction 5/14
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Can someone help me with this problem://
fiasKO [112]

You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).

Multiply by 12

... 4(x -1) +3(x +5) = 6

... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses

... 7x +11 = 6 . . . . . . . . . . . .collect terms

... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11

... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient

_ _ _ _ _ _ _

Here it is the other way.

... x(1/3 +1/4) +(-1/3 +5/4) = 1/2

... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms

... x + 11/7 = 6/7 . . . . . . . multiply by 12/7

... x = -5/7 . . . . . . . . . . . subtract 11/7

At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.

8 0
3 years ago
Help show work due asap​
Vera_Pavlovna [14]

Answer:

77 pictures

Step-by-step explanation:

You are trying to find 18% of 430.

18/100 = 9/50 * 430

756/10 = 75.6

77 is the closest choice out of all the other choices.

3 0
3 years ago
Could i have some really really quick help?
nata0808 [166]

Answer:

1125 m

Step-by-step explanation:

Given equation:

h=-5t^2+150t

where:

  • h = height (in metres)
  • t = time (in seconds)

<u>Method 1</u>

Rewrite the equation in vertex form by completing the square:

h=-5t^2+150t

\implies h=-5t^2+150t-1125+1125

\implies h=-5(t^2-30t+225)+1125

\implies h=-5(t-15)^2+1125

The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point).  As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point.  Therefore, the maximum height is the y-value of the vertex: 1125 metres.

<u>Method 2</u>

Differentiate the function:

\implies \dfrac{dh}{dt}=-10t+150

Set it to zero and solve for t:

\implies -10t+150=0

\implies 10t=150

\implies t=15

Input found value of t into the original function and solve for h:

\implies -5(15)^2+150(15)=1125

Therefore, the maximum height is 1125 metres.

8 0
2 years ago
Read 2 more answers
A taxi cab driver charges $41 for a cab ride. the driver charges $8 as an initial rate and $3 per 0.5 miles. how many miles did
nadya68 [22]
He drove 66 miles. Hope that helps.
7 0
3 years ago
Solve for b. 5 + 2b = 9 Show your work for each step as you solve for b.
Dahasolnce [82]

Answer:

\boxed{\sf{b=2}}

Step-by-step explanation:

Isolate the b from one side of the equation.

<u>First, subtract by 5 from both sides.</u>

\sf{5+2b-5=9-5}

<u>Solve.</u>

<u />

<u>Subtract.</u>

9-5=4

2b=4

<u>Divide by 2 from both sides.</u>

2b/2=4/2

<u>Solve.</u>

<u />

<u>Divide the numbers from left to right.</u>

4/2=2

\Longrightarrow \boxed{\sf{b=2}}

Therefore, the correct answer is b=2.

I hope this helps, let me know if you have any questions.

6 0
2 years ago
Read 2 more answers
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