Answer:
B = 60°; c = 30; b = 25.98
Step-by-step explanation:
1. Calculate ∠B
∠A + ∠B + ∠C =180°
30° + ∠B + 90° = 180°
∠B + 120° = 180°
∠B = 60°
2. Calculate c
sinA = a/c
sin30° = 15/c
½ = 15/c
c = 2 × 15 = 30
3 .Calculate b
sinB = b/c
sin60° = b/30
√3/2 = b/30
b = (30√3)/2 = 15√3 = 25.98
It will graph a straight horizontal line at -1
Answer:
It would look like this basically..
Step-by-step explanation:
If a function, f(x) is shifted to the left four units, the
function that represents the transformation would be f(x+4). Adding it would make it go right..
*If you ever need help graphing, use desmos!
Answer:
The first is not equivalent, second is.
Step-by-step explanation:
2x-3.9x+7.5=5.9x+7.5
The first is not equivalent, second is.
Answer:
3972.72 specimens
Step-by-step explanation:
We solve using the z score formula:
z = (x-μ)/σ where
x is the raw score = 73 cm
μ is the population mean = 147 cm
σ is the population standard deviation = 30 cm
N is the number of samples = 4000
For x > 73
z = 73 - 147/30
z = -2.46667
Probability value from Z-Table:
P(x<73) = 0.0068189
P(x>73) = 1 - P(x<73) = 0.99318
The probability of having a height greater than 73cm is: 0.99318
The number of specimens that have a height greater than 73cm is calculated as: 0.99318 × 4000
= 3972.72 specimens
