Answer:
Step-by-step explanation:
Given
log_3x = 3/2 can be rewritten as
3^1.5 = x
You calculator will give you the simplest answer to this. Look around for a key that looks like ^ or y^x or x^y.
Then you put the base (3) into your calculator and press your y^x key and put in 1.5
Answer:
x = 5.1962
Answer:
a) P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation = P(z > 1) = 0.159
Step-by-step explanation:
a) This question can be solved using binomial distribution function formula
Using Binomial,
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of refrigerators to be examined before getting 5 refrigerators with defective compressors = 6
x = Number of successes required = 5
p = probability of success = probability of examining a refrigerator with defective compressor out of the total 12 = 5/12 = 0.4167
q = probability of failure = probability of examining a refrigerator without defective compressor out of the total 12 = 1 - (5/12) = 7/12 = 0.5833
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833)⁶⁻⁵
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833) = 1(0.01256)(0.5833) = 0.04397
P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation represents Z-score of z > 1
Using the normal distribution tables,
P(z > 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159
Answer:
12.9
Step-by-step explanation:
sin 59 = opposite/hypotenuse
opposite is x, the dimension facing the angle 59
hypotenuse is the longest side = 15
sin 59 = x/15
x = 15sin59 = 15 x 0.8572 =12.858 = 12.9 in the nearest tenth
Answer:
d
Step-by-step explanation:
16 - 2v + 3
-2v + 3 + 16
-2v + 19
Answer d
Answer:
Distance between two point = 3.6 (Approx.)
Step-by-step explanation:
Given:
Coordinate;
(-4, -6) and (-1, -4)
Find:
Distance between two point
Computation:
Distance between two point = √(x1 - x2)² + (y1 - y2)²
Distance between two point = √(-4 + 1)² + (-6 + 4)²
Distance between two point = √(-3)² + (-2)²
Distance between two point = √9 + 4
Distance between two point = √13
Distance between two point = 3.6 (Approx.)