Answer:
v = -8
Step-by-step explanation:
First we would have to distribute the 8(-5 - 7v). To do this we would multiply 8 by -5 and 8 by -7v to get 
. After this, we would have to simplify like terms by subtracting 56v from -5v to get 
. We now have to get the variable on one side and to do that, we can add 40 to both sides to get 
. Finally to get the variable alone, we would have to divide both sides by -61 to get 
.
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7 is in the ten thousand place
5 is in the thousand place
3 is in the hundreds place
9 is in the tens place
1 is in the ones place
Answer:
Median = 45
Step-by-step explanation:
We are given the following data set:
21, 23, 76, 47, 55, 135, 45, 30, 17
Median is the number that divides the data into two equal parts.
Formula:
Sorted data:
17, 21, 23, 30, 45, 47, 55, 76, 135
Sample size = 9, which is odd
Median =
The median of given set of numbers is 45.
Answer:
Answer
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Answer with Step-by-step explanation:
For a given Binomial event with probability of success 'p' the probabolity of 'r' success in 'n' trails is given by
Thus for given 4 trails (n = 4) we have
Part 1)
Probability of 1 success is
Part 2)
Probability of 2 successes
Part 3)
Probability of at least 1 success
Step-by-step explanation:
Answer:
C. 18 cm
Step-by-step explanation:
The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio
3 : 4 : 5 = 9 : 12 : 15
Half of XY is 9 cm, so the length of the entire chord is 18 cm.
_____
The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).
The unknown side (a) can be found from ...
15² = 12² +a²
225 -144 = a² . . . . . . subtract 12²
81 = a² . . . . . . . . . . . simplify
9 = a . . . . . . . . . . . . . take the square root
The chord length is 2a, so is ...
2(9 cm) = 18 cm . . . . length of chord XY
