Multiples of 11 between 1 and 30:
11, 22
So there are 2 numbers that are multiples of 11 in the bin. There are a total of 30 cards, so the probability is written as 2/30. Or we can simplify it to 1/15.
For the next question:
There are a total of 3 + 8 = 11 balls in the bag.
The probability of choosing a red ball is 3/11.
The probability of choosing a green ball is 8/11.
Multiply the three fractions:
3/11 * 3/11 * 8/11 = 72/1331
So the probability is 72/1331.
For the last question:
A standard deck of cards has 52 cards.
There are 4 queens and 4 kings in the deck.
Probability of choosing a queen is 4/52, and the probability of choosing a king AFTER you already chose a queen is 4/51.
Multiply the two fractions:
4/52 * 4/51 = 16/2652
So the probability is 16/2652 or 4/663
Answer:
Part 1) The radius of the circle is r=17 units
Part 2) The points (-15,14) and (-15,-16) lies on this circle
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The distance between the center of the circle and any point on the circle is equal to the radius of the circle
the formula to calculate the distance between two points is equal to
we have
(-7, -1) and (8, 7)
substitute
step 2
Find out the y-coordinate of point (-15,y)
The equation of the circle in standard form is equal to

where
(h,k) is the center
r is the radius
substitute the values


Substitute the value of x=-15 in the equation




square root both sides




therefore
we have two solutions
point (-15,14) and point (-15,-16)
see the attached figure to better understand the problem
The answer would be 95/100 = 0/100 I hope this helped ^^
Answer:
Sorry for the wait.
Step-by-step explanation:
5. the two bottom angles are the same btw

6. straight lines are 180

7. another 180

8. 90 degree angle

im assuming you wrote 4logsx instead of 4log5x here
Answer is a) log5x = 7
Just diving both sides by 4 to isolate the log