Answer:
As shown in picture, the area is divided into 4 parts: 3 triangles and 1 rectangles.
Total area:
A = smallest triangle + medium triangle + largest triangle + rectangle
= 2 x 2 x 1/2 + 2 x 6 x 1/2 + 4 x (2 + 2 + 6) x 1/2 + 2 x 2
= 2 + 6 + 20 + 4
= 32
Hope this helps!
:)
Answer:
1030 Smart TV's are in Picayune this year.
Step-by-step explanation:
25% of 824 is 206
800 ÷4=200
24÷4+6
For 206, then add that to the total, since it is a 25% increase, not just what that 25% is
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: When looking at a table of values for a quadratic function, the x-intercepts represent the x-values where y = 0. This corresponds to the x-values where f(x) is 0 in function notation.
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
There are two 1/4's, five 1/2's, and three 3/4's.
So this means,
There will be two x's above 1/4,
Five x's above 1/2,
And three x's above 3/4,
Line plot B is the only line plot that matches this.
Therefore option B is the answer.
