Answer:
16.7%
Step-by-step explanation:
Probability is defined by the formula: the number of desirable outcomes over the total outcomes. The total number of outcomes is the sum of all shoes that he could possibly pick:
5 + 7 + 1 + 4 + 6 + 8 + 2 + 3 = 36
And the desirable outcomes are those where he picks brown boots, which is 6 outcomes.
Using the formula for probability, we get the expression: 6/36 to represent the probability. It simplifies to 1/6 which is about 16.7%
Volume = Length x Width x Height
Volume = 18 x 19 x 36 = 12312 in³
Answer: 12312 in³
So the actual meal was at most 130 dollars they paid minus the 20 dolars tip: 130-20=110 dollars.
it was 5 people: Dolores+5 friends, who presumably all paid the same (buffet).
then we have to divide the 110 among the 5 people: it's 110/5=22
so each of them paid at most 22 dollars:
x (the amount they paid)≤22
Answer:
x squared over 4 plus y squared over 8 equals 1
Step-by-step explanation:
The general equation of ellipse is given as;
(x²/a²) + (y²/b²) = 1
The coordinates of a foci are: (±c, 0) where;
c² = b² - a²
However, we know that equation of directrix is; x = ±a/e
Now, Directrix is given ±4
Thus, a/e = 4
a = 4e
We also know that c = ae from ellipse foci coordinates.
Thus, ae = 2
since ae = 2, then (4e)e = 2
4e² = 2
e² = 2/4
e = 1/2
Thus;
a = 4 × 1/2
a = 2
Since c² = b² - a²;
2² = b² - 2²
4 = b² - 4
b² = 8
From (x²/a²) + (y²/b²) = 1, we can put our values to get;
x²/4 + y²/8 = 1
Answer:
Square root of 30 is irrational because the answer is a non-terminating decimal.
4/7 is rational because it is a fraction.
21 divided by the square root of 4 is irrational because the result is a non-terminating decimal.
Pi is irrational because it's a non-terminating decimal.
-27 is rational because rational numbers can be positive or negative.
I hope this is correct! :-)
