A card is drawn from a regular deck of 52 cards and is then put back in the deck. A second card is drawn. What is the probabilit
1 answer:
Answer:
0.5,0.25,0.125
Step-by-step explanation:
Given that a card is drawn from a regular deck of 52 cards and is then put back in the deck. A second card is drawn.
Since here we have the draws with replacement we can say each trial is independent of the other.
i.e. the first card does not affect the second card at all.
the probability that:
a) The first card is red.
=
(b) The second card is hearts given that the first is red.
=P(second is hearts)
= 0.25
(c) The first card is red and the second is hearts.
=
(since independent)
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Answer:
1a - no
1b - yes
1c - no
2 - 1.5 grams of protein
3 - a solution to this equation tells us how many grams of protein/fat there could be depending on how many grams of the other there are. a solution to this is 6 grams of protein and 4 grams of fat.
Step-by-step explanation:
1a
4(5)+9(2)=60
20+18=60
38=60
the equation is false
1b
4(10.5)+9(2)=60
42+18=60
60=60
the equation is true
1c
4(8)+9(4)=60
32+36=60
68=60
the equation is not true
2
plug in 6 for the f value
4p+9(6)=60
4p+54=60
subtract 54 from both sides
4p=6
divide both sides by 4 to get p alone
p=1.5
3
a possible solution can be seen by graphing the equation using the intercepts. the intercepts for this equation are (15,0) and (0,6.6). attached is an image of the graph. the points where the line crosses are possible solutions. the line crosses the point (6,4) on the graph, which represents 6 grams of protein and 4 grams of fat. you can also check this by plugging these values into the equation.
Answer:
30.7 km
Step-by-step explanation:
The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...
c = √(a² +b² -2ab·cos(C))
The angle measured between the two fires is ...
180° -(69° -35°) = 146°
and the distance is ...
c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015
c ≈ 30.74
The straight-line distance between the two fires is about 30.7 km.
