Solution :
The data is normally distributed.
The standard deviation is 18 days
Here the data is normally distributed and 54 days is 3 days of standard deviation.
Therefore, the percentage of the births that would be
within the 54 days of the mean
length is given by :
= P( -3 < Z < 3)
= 0.9544
= 95 %
Therefore, about 95% of the births would be
within 54 days of the men
length.
Answer:
x = 2/3 or x = -2/3
Step-by-step explanation:
Solve for x over the real numbers:
9 x^2 = 4
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 9:
x^2 = 4/9
Hint: | Eliminate the exponent on the left-hand side.
Take the square root of both sides:
Answer:x = 2/3 or x = -2/3
Answer:
C.
Step-by-step explanation:
We are given that
In I year, number of participants=88
In V year, number of participants=115
We have to find the equation of the trend line that can be generated by using the data from years 1 and 5.
Rate of change of participants =
Rate of change of participants,m=6.75
Point-slope form:
Where m=Rate of change of participants per year

By using the formula
Substitute the values then we get




Hence, option C is true.
Let the four numbers be A,B,C,D in ascending order.
The key is in conditions 2 & 3.
B-C=-4, and B+C=0
therefore B=-2, C=2 by solving the two previous equations.
Given that the product of the two greatest numbers is 6, we have C*D=6, or
D=6/C=6/2=3
Now since the sum of all the four numbers is -6, we have
A+B+C+D=-6
A-2+2+3=-6
A=-6+2-2-3=-9
Check: we were told smallest divided by greatest = A/D=-9/3=-3 ok.
So the numbers are
A=-9, B=-2, C=2, D=3.