C
there can be more than one mode. 20 and 30 have the same amount and are most frequent
8 x 6 = 42 add two zeros so 4200
Answer:
Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.
We can find sum of all 16 test scores = 84(16) = 1344
Outlier found = 78
If outlier is removed new sum = 1344-78 = 1266
Number of entries without outlier = 15
New average = 1266/12 =84.4
We find that average of new data increases.
Also whenever we remove outlier std deviation also would be reduced.
Step-by-step explanation:
Answer:
∅ = 90°
Step-by-step explanation:
Given;
sin2∅=2sin∅
sin2∅ = 2sin∅Cos∅
but, Sin²∅ + Cos²∅ = 1
Cos²∅ = 1 - Sin²∅
Cos ∅ = √(1 - Sin²∅)
sin2∅=2sin∅ ↓
2sin∅Cos∅ = 2sin∅
2sin∅(√(1 - Sin²∅)) = 2sin∅
Let Sin∅ = P
2P( √(1 - P²)) = 2P
Divide both sides by 2P
√(1 - P²) = 1
Square both sides
1 - P² = 1
P² = 1 - 1
P² = 0
P = 0
Recall, Sin∅ = P
Sin∅ = 0
∅ = Sin ⁻¹(0)
∅ = 90°
