Answer:
9.2
Step-by-step explanation:
Use law of sines
a/sinA = b/sinB
5/sin 31 = b/sin 108
b=9.2
Answer:
mean=134.3
median=65.5
mode=60
Step-by-step explanation:
Mean is computing by adding the all data values and then divided by number of values
mean=sum of all values/number of values
There are 20 data values.
mean=(88+50+66+60+360+55+500+71+41+350+60+50+250+45+45+125+235+65+60+110)/20
mean=2686/20
mean=134.3
For calculating median we arrange the data in ascending order
41 45 45 50 50 55 60 60 60 65 66 71 88 110 125 235 250 350 360 500
n/2=20/2=10 is an integer
So, the median is the average of n/2 and (n/2)+1 value
The median is average of 10th and 11th value
median=(65+66)/2
median=65.5
Mode is the most repeated value and we see that number of times the values are repeated are
45= 2 times
50= 2 times
60= 3 times
Thus, the most repeated value is 60 and it is the mode of data.
Mode=60
The entire race is 1 full race.
One full race is 1.
He ran 3/8 of 1, so he ran 3/8.
He needs to run the rest of the race.
The rest is unknown, so we call it x.
When you add 3/8 to the unknown, you get the full race.
The equation is
x + 3/8 = 1
Change 1 to a denominator of 8.
x + 3/8 = 8/8
Subtract 3/8 from both sides.
x = 5/8
Answer: He still needs to run 5/8 of the race.
ANSWER
The maximum y-value is 0.
EXPLANATION
The domain of the given absolute value function is (-∞, ∞) .
This means the function is defined for all real values of x.
The range of the function is (-∞, 0].
This can be rewritten as

This means that, the highest y-value on the gray of this absolute value function is 0.
Hence the maximum y-value of the function is 0.
Answer:
<h2>x = 140, y = 80</h2>
Step-by-step explanation:
