<em>C</em>
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.
<em>Explanation</em>
According to the empirical rule of normal distribution:
Approximately 68% of the data falls within ±1 standard deviation of the mean
2. Approximately 95% of the data falls within ±2 standard deviations of the mean
3. Approximately 99.7% of the data falls within ±3 standard deviations of the mean.
Therefore, among the given options, only option C adheres to the empirical rule of the normal distribution. Therefore, the option C is correct
The acute angles of a right triangle are complementary, so
α + β = 90
(5x/3 +20) + (2x/3) + 14) = 90 . . . . . . substitute given values
7x/3 +34 = 90 . . . . . . . . . . . . . . . . . . . collect terms
7x/3 = 56 . . . . . . . . . . . . . . . . . . . . . . . subtract 34
x = (3/7)*56 = 24 . . . . . . . . . . . . . . . . . multiply by 3/7
Then the value of α is ...
α = 5*24/3 +20 = 60
1)
x+10<-7
bring 10 to the other side
x<-10-7
x<-17
2)
-3x-4>5
bring -4 to the other side
-3x>9
divide -3 at the other side, since it is negative it changes to less than
x<-3
Answer:
Perimeter = 10x-2
Area = 6x²-x-2
Step-by-step explanation:
Perimeter=2L+2W
2(3x-2)+2(2x+1)
6x-4+4x+2
10x-2
Area=LW
(3x-2)(2x+1)
6x²+3x-4x-2
6x²-x-2
Answer: c) All of the above
Step-by-step explanation:
a) X=the number of color-blind males of the randomly chosen 20 individuals
Thus, X is binomial with n = 20 and p = 0.08.
Y represents the number of color-blind females of the randomly chosen 40 individuals
Thus, Y is also binomial with n = 40 and p = 0.01.
b) However, Z represents the total number of color-blind which is 60. The probability of being color-blind is not equal among all individuals as it is for X (0.08) and Y (0.09). Thus, Z is not binomial.
In conclusion both a and b are correct, which gives the correct answer number c) all of the above.
