Answer:
Step-by-step explanation:
a) It is a binomial distribution.
n = 25
p = 0.15
b) mean = np = 25 * 0.15 = 3.75
variance = np(1 - p)
= 25 * 0.15 * (1 - 0.15)
= 3.1875
c) P(X = x) = nCx * px * (1 - p)n - x
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= 25C0 * (0.15)^0 * (0.85)^25 + 25C1 * (0.15)^1 * (0.85)^24 + 25C2 * (0.15)^2 * (0.85)^23 + 25C3 * (0.15)^3 * (0.85)^22 = 0.4711
d) P(X = 3) = 25C3 * (0.15)^3 * (0.85)^22 = 0.2174
Answer:
A number that is greater than 0 is called a positive number
Step-by-step explanation:
Any number greater than zero is called a positive number.
On the number line, all the numbers greater than zero are to the right of zero.
In the on xy coordinate plane, a number greater than zero is located above the x-axis.
Hence the word which best completes the given statement is positive number
Answer:
38°
Step-by-step explanation:
The measure of required angle can be obtained by using cosine law.
From the given triangle we find that:
a = 5, b = 3, c = 7,
Since,
cos (A) = (b^2 +c^2 - a^2) /2bc
Therefore,
cos (A) = (3^2 + 7^2 - 5^2) /(2*3*7)
cos (A) = (9 + 49 - 25) /(42)
cos (A) = (33) /(42)
cos (A) = 0.785714286
A = arccos(0.785714286)
A = 38.213210675°
A = 38°
5x-8y=1...(1)
3x+6y=-21...(2)
(1)*3:
15x-24y=3...(3)
(2)*5:
15x+30y=-105...(2)
(3)-(2):
15x-24y-(15x+30y)=3-(-105)
15x-24y-15x-30y=108
-54y=108
y=-2
Answer:
People like oranges
Step-by-step explanation:
Given:
Mo likes oranges. Jai likes oranges. Ben likes oranges.
We have a few different options;
Option A: People don't like other fruit, such as apples. This can't be possible because we have only been given people who like oranges.
Option B: People on like oranges. This can't be possible because only is the case where people do not like any fruit except oranges, and we are not sure of this.
Option C: People like oranges. This can be possible because Mo, Jai, and Ben likes oranges
Option D: People like fruit. This can't be possible because we are not sure if people like all fruits or not
