First, let's count:
there are 26 possible outcomes for E1 (black card)
there are 4x9 = 36 possible outcomes for E2, to pick a numbered card (any color)
there are 2x9 =18 possible outcomes for E1 (black) AND E2 (numbered, spade + clower)
the probability of E1 AND E2 is the ratio of the count of possible outcomes for E1 + E2 and the count of all possible outcomes (52 choices to pick a card from the deck):
P(E1 and E2) = 18/52 (34.6%)
And as asked:
P(E1) = 26/52 = 1/2 (50%)
P(E2) = 36/52 = 9/13 (69.2%)
Answer:
Equation Form: x=−2,y=−2
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
3/2x+1=−x−4
Solve 3/2x+1=−x−4
for x. x=−2
Evaluate y when x=−2.
y=−2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−2,−2)
The result can be shown in multiple forms.
Point Form:
(−2,−2)
Equation Form:
x=−2,y=−2
0.016 as a fraction is 16/1000 and in simplest form it is 2/125.
An easy way to figure out the fraction of a decimal is by the decimal places. As we can see, there are four numbers in our decimal (0.016).
The first decimal place = ones
The second decimal place = tenths
The third decimal place = hundredths
The fourth decimal place = thousandths
We stop at the thousandths place, so basically, take 16 and put it over 1000, which looks like 16/1000.
Answer:
x = 7 degrees
Step-by-step explanation:
4x-5 = 2x + 9
-2x -2x
2x-5 = 9
+5 +5
2x = 14
2x/2 =14 /2
x= 7
Answer:
Each of the 7 friends could be present or not present (2 cases) at the party giving total of 27 scenarios.
Since at least one must be present we exclude the case that none of them is present. So the answer would be:
27−1=127.
Step-by-step explanation:
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