Enter decimal numbers in the boxes to complete the ordered pair that locates point Q on the coordinate plane.
1 answer:
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Y = 
x + 3
y = x - 4
Since both equations are equal to y, you can set the two values equal to each other and solve for x.
x + 3 = x - 4 Multiply both sides by 2
x + 6 = 2x - 8 Add x to both sides
6 = 3x - 8 Add 8 to both sides
14 = 3x DIvide both sides by 3
4
= x
Now, plug the x value into one of the original equations, I'll plug it into y = x - 4.
y = x - 4 Plug in the x value
y = 4 - 4 Subtract
y =
x = 4 and y =
y = x - 4
Since both equations are equal to y, you can set the two values equal to each other and solve for x.
x + 6 = 2x - 8 Add x to both sides
6 = 3x - 8 Add 8 to both sides
14 = 3x DIvide both sides by 3
4
Now, plug the x value into one of the original equations, I'll plug it into y = x - 4.
y = x - 4 Plug in the x value
y = 4
y =
x = 4
Answer:
0.0005 = 0.05% probability that all the cards are spades.
Step-by-step explanation:
The cards are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
52 cards means that N = 52.
13 of the cards are spades, which means that k = 13.
5 card hand means that n = 5.
What is the probability that all the cards are spades?
This is P(X = 5). So
0.0005 = 0.05% probability that all the cards are spades.