Hello from MrBillDoesMath!
Answer:
Choice D, x = 9
Discussion:
Triangles EFG and EDG are congruent by SAS.
* Side = they both have a side of length 13.
* Angle = base angles F and D are equal as the triangles are isosceles.
Because of that, angles FEG and DEG are equal
*Side = they both share EG
Hence corresponding parts are equal, so FG = DG or
5x - 17 = 3x + 1 => (adding 17 to both sides)
5x - 17 + 17 = 3x + 1 + 17 =>
5x = 3x + 18 => (subtract 3x from both sides)
5x -3x = 18 =>
2x = 18 =>
x = 9
which is choice D
Regards,
MrB
The probability you're asked to find is
where
is the event that either event occurs (A, B, or both), and
is the event that both events occur.
Recall that
which means
You're told that
,
, and (if I'm reading the diagram correctly)
.
So,
Another way of seeing this is that the event A consists of the regions "A not B" and "A and B". So the probability that "A not B" occurs is
Similarly, B consists of "B not A" and "A and B", so you have
So the probability that A or B, but not both, occur is
Answer: A. 12
WORKINGS
Given the data set for 11 seasons of play14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28
Quartiles (usually 3 in number; Q1. Q2 and Q3) divide a rank-ordered data set into four equal parts
14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28
First order the data set by rank
12, 14, 16, 19, 21, 22, 25, 27, 28, 30, 32
Q1 is the first quartile
Q2 is the second quartile
Q3 is the third quartile
Interquartile range = Q3 – Q1
The median value in the set, Q2 = 22
First half of the rank-ordered data set is therefore 12, 14, 16, 19, 21
While the Second half of the rank-ordered data set is 25, 27, 28, 30, 32
The median value in the first half of the set, Q1 = 16
The median value in the second half of the set, Q3 = 28
Interquartile range = Q3 – Q1
Therefore, interquartile range = 28 – 16
= 12
The interquartile range of the data is 12
Answer:
1) 10
Basic facts:
<em>we can tell a right angle if there is a small square drawn where the angle measuring should be done</em>
Step-by-step explanation:
<u>Main step</u>
<u>90-60=30</u>
<u>30=3x</u>
<u>divide by 3</u>
<u>10 =x</u>
the value of x is 10
so option 1
Answer:
It is c.
Step-by-step explanation:
It has the same amount of interest in less time so it's interest rate is more money per day.