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sveta [45]
3 years ago
10

Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a spade and the sec

ond card is red? (Round your answer to three decimal places.)
Mathematics
1 answer:
Verizon [17]3 years ago
3 0

Answer:

The answer is 0.123.

Step-by-step explanation:

You want to find the intersection between P(Spade) and P(Red). Knowing that there's no replacement, the probability will be given by the formula:

⇒ P(Spade∩Red) = P(Spade)*P(Red/Spade)

⇒ P(Spade∩Red) = P(Red)*P(Spade/Red)

Either formula works, but I'm going to choose to work with the first formula.

Therefore:

P(Spade) = \frac{13}{52}

P(Red/Spade) =  \frac{26}{52-1}

So:

P(Spade∩Red) = \frac{13}{52}*\frac{26}{51}= \frac{13}{102} =  0.123

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cricket20 [7]

the answer is -32

you add -45 and 13

6 0
3 years ago
Please help if you can number 4
ra1l [238]
I think you are supposed to find the perimeter of it so you add all sides together to get your answer
6 0
3 years ago
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Bill and Mary Ann went to the Viola bakery. Bill bought 5 pies and 7 donuts for ​$12.65. Mary Ann bought 6 of each for ​$12.30.
sweet [91]

Answer:

Pies=$0.85

Donuts= $1.20

Step-by-step explanation:

In the equation let p stand for the number of pies and d stand for the number of donuts.

To solve this set up 2 equations, one representing bill and the other representing Mary Ann.

  • Bill's equation is 5p+7d=$12.65.
  • Mary Ann's equation is 6p+6d=$12.30

Then solve using a system of equations. Systems of equations can be solved using elimination or substitution. I will use substitution. Solve bill's equation for p. This gives you p=\frac{12.65-7d}{5}. Then, you can substitute that into Mary Ann's equation. This looks like 6\cdot \frac{12.65-7d}{5}+6d=12.3. Solve for d. Once you solve d=1.20. Finally, substitute 1.20 back into either Bill's or Mary Ann's for d and solve for p. No matter which equation you use p=0.85.

3 0
2 years ago
Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
HACTEHA [7]

Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.

<u>Solution:</u>

Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,

\Rightarrow0.5\text{ lbs }- 1.5\%

\Rightarrow x+0.5\text{ lbs }- 100\%

On writing the proportion,

\Rightarrow\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\\Rightarrow0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\\Rightarrow50=1.5x+0.75\\ \\\Rightarrow1.5x=50-0.75\\ \\\Rightarrow1.5x=49.25\\ \\\Rightarrow x=\dfrac{49.25}{1.5}\approx 32.833\ lbs

To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of syrup is 33.333 lbs.

7 0
3 years ago
Line s has an equation of y=1/3-X-5. Line t is perpendicular to line s and passes through (-2, 9). What is the equation of line
anyanavicka [17]

Answer:

y = 3x + 15

Step-by-step explanation:

1. Find the reciprocal of the slope and change signs: -3

2. y = 3x + b

3. Plug in x and y --> b = 15

4. Make your equation using y = mx + b: y = 3x + 15

6 0
2 years ago
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