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PIT_PIT [208]
3 years ago
10

Two cards are drawn without replacement from an ordinary deck, find the probabaility that the second is a face card, given thath

at the second is not a seven, given that the first is a seven. what is the conditional probability?
Mathematics
1 answer:
Greeley [361]3 years ago
6 0
Answer is 1.1% chance:
standard deck of cards has 52 cards
jack, queen, and king are face cards, and there are four suits, so in total there are  7 face cards in the deck. There are 4 seven cards in the deck. The probability that the first card is a seven is 0.076923077--> 7.7%, then there are 7 face cards so 7/51 chance 0.137254902--> 13.7% (but that is after 7.7% of 100% has already happened, so we are looking at 13.7% chance of 7.7% chance of 100% cards. Multiply both numbers and you get 0.010558069--> 1.1% chance 
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Which points are on the perpendicular bisector of the given segment? Check all that apply. Please explain how you got your answe
ser-zykov [4K]
First, you have to find the equation of the perpendicular bisector of this given line. 
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3 
step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10      (-5, 10)
so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)

now plug in all the given coordinates to the equation to see which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line. 

try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint. 

4 0
3 years ago
Read 2 more answers
Omas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola
Serga [27]

Answer:

Omas can buy 1 pound of walnuts.

Step-by-step explanation:

From the information given, you can say that the total cost would be equal to the result of multiplying the price per pound of granola for the number of pounds of granola plus the result of multiplying the price per pound of walnuts for the number of pounds of walnuts, which would be:

Total cost=2x+6y, where

x is the number of pounds of granola

y is the number of pounds of walnuts

Now, you can replace the values on the formula and solve for y:

12=(2*3)+6y

12=6+6y

6=6y

y=1

According to this, the answer is that Omas can buy 1 pound of walnuts.

4 0
2 years ago
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how do I solve 7v-(2v-16)=5(v+4) please explain if it is a one solution, no solution or infinite solution
Sergio039 [100]
Do the indicated mult. first:

7v - 2v + 16 = 5v + 20
     5v   +      = 5v  +20.  This is never true.  NO solution.
3 0
3 years ago
What percent is 680 of 2300
Usimov [2.4K]
29.5652% please give brainlest
8 0
3 years ago
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Find the slope of the line passing through (-8,6) and (6,6)
frosja888 [35]

Answer:

0

Step-by-step explanation:

6-6 equals 0 and -8 minus 6 equals -14 and 0 divided by equals 0

8 0
3 years ago
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