(a.)
Mean= sum / n
Mean= (123+116+122+110+175+126+125+111+118+117) / 10
Mean=1243 / 10
Mean= 124.3
Median:
Rearranged the data in order first
110,111,116,117,118,122,123,125,126,175
118 and 122 are at the middle
Median=1/2(n1 + n2)
Median=1/2(118+122)
Median=240/2
Median= 120
(b) 175 is the larger than the others value and larger than the mean, so it is the substantial difference between the mean and the highest value (175).
Answer:
m∠WXZ = 38°
m∠ZXY = 52°
Step-by-step explanation:
In the question
- ∠WXZ and ∠ZXY are two adjacent angles and formed together ∠WXY
- That means the measure of ∠WXY equal the sum of measures of ∠WXZ and ∠ZXY
∵ ∠WXY is a right angle
→ That means its measure is 90°
∴ m∠WXY = 90°
∵ m∠WXZ + m∠ZXY = m∠WXY
∵ m∠WXZ = (5x + 3)°
∵ m∠ZXY = (8x - 4)°
∵ m∠WXY = 90°
→ Substitute their values in the equation above
∴ (5x + 3) + (8x - 4) = 90
→ Add the like terms in the left side
∵ (5x + 8x) + (3 - 4) = 90
∴ 13x + (-1) = 90
∴ 13x - 1 = 90
→ Add 1 to both sides
∴ 13x - 1 + 1 = 90 + 1
∴ 13x = 91
→ Divide both sides by 13
∴ 
∴ x = 7
→ To find the measure of each angle substitute x by 7 in their measures
∵ m∠WXZ = 5x + 3
∴ m∠WXZ = 5(7) + 3
∴ m∠WXZ = 35 + 3
∴ m∠WXZ = 38°
∵ m∠ZXY = 8x - 4
∴ m∠ZXY = 8(7) - 4
∴ m∠ZXY = 56 - 4
∴ m∠ZXY = 52°
1. Carl's constant rate of speed is the slope of the straight line graph.
This straight line passes through: (0,0), (5,1), (10,2) etc
We can use the slope formula with any two points to find the slope of this line.
The slope formula is
.
Let
and 
Then
,
.
Carl's speed is
miles per minute.
But we must leave our answer in miles per hour
Hence Carl's speed is
miles per hour
After 2 hours, Carl will travel
miles.
2. The given line has equation 
We write this in slope-intercept form by solving for y.

This is in the form
, where
is the slope.
When x=3, 

When x=3, y=22
3. The given straight line graph that models the situation passes through:
(0,0) and (20,30).
The slope of this line is
Therefore the rate is $ 15 per ticket.
If the theater sells 150 tickets, the earnings will be:
dollars.
I have really know idea at all I'm so sorry this doesn't help
Total Drinks = 50
Orange Juice = 17
P( Orange Juice ) = 17 /50 = 0.34 = 34%
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Answer: P( Orange Juice ) = 17 /50 (fraction) = 0.34 (Decimal ) = 34% (Percentage)
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