First, let's make 1/2 and 3/7 have the same denominator to make it easier to see. We know that there Least Common Multiple (LCM) is 14.
1/2=7/14
3/7=6/14
Wait a second... 3/7 is less than 1/2. This means that Winnie's statement is false because it is impossible that after adding more flour, she actually has less flour than what she started with.
Hope this helps! :)
Answer:
a) P(x=5) = 0.2456
b) P(x≥6) = 0.3526
c) P(x<4) = 0.1887
Step-by-step explanation:
We can model this as a binomial experiment, with sample size n=10 and p=0.49.
To calculate the probability of having k subjects with very little confidence in the sample of 10, we solve:
a) We have to calculate P(x=5).
For a binomial variable with n=10 and p=0.49, this can be calculated as:
b) We have to calculate P(x≥6). This can be calculated as:
c) We have to calculate P(x<4). That is:
The probability should be 1/60
Answer:
The vertex or top is ( 2, -9)
Step-by-step explanation:
Given y = (x - 5 ) * ( x + 1 )
x² - 4x - 5
See attachment.
The vertex of the parabola is the Top.
The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
If the coefficient of the x² term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x² term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.
The standard equation of a parabola is it
y = ax² + bx + c.
But the equation for a parabola can also be written in "vertex form": y = a(x−h)² + k
In this equation, the vertex of the parabola is the point (h,k) = (2, -9)
Answer:c
Step-by-step explanation: