Answer:
When A is positive there is a minimum vertex.
Step-by-step explanation:
When a parabola is positive the opening goes upwards. When a parabola is negative it goes downwards. The negative sign on the A coefficient means that you reflect your equation across the x-axis
this triangle has 3 sides one is 12, lets call this side a²
another side is 72, lets call this side c²
this triangle must follow Pythagoras therom if it is right angled, that is a²+b²=c²
where a and b are the two shorter sides and c is the longest side (called the hypotenuse) opposite the right angle
to find the last side you do 72² - 12² = 5040
but it is the square root of 5040 which is 70.99 (two decimal places) if you want it in decimal form, if you want it in surd form it is √5040
Answer:
6x-15 = 4x+12
Step-by-step explanation:
3*2x = 6x
3*-5 = -15
4*x=4x
4*3=12
6x-15 = 4x+12
Answer:
a) P(X=41)= 0.0086 = 0.86%
b) P(36≤X≤38)== 0.1215 = 12.15%
c) would be unusual that fewer that 20 murders were cleared because P(X≤20) = 0.000081 =0.0081%
Step-by-step explanation:
if the random variable X= number of cleared murders , then X follows a binomial distribution:
P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^(n-x)
where P(X=x)= probability of x cleared murders, n= number of murders selected=50 , p= probability for a murder to be cleared (67%)
therefore
a) P(X=41)=50!/[(50-41)!*41!]*0.67^41*0.33^(50-41)= 0.0086
b) P(36≤X≤38)= P(X≤38) - P(X≤36) = 0.9371- 0.8156 = 0.1215
c) P(X≤20) = 0.000081
therefore would be unusual that fewer that 20 murders were cleared
Answer:
the answer is 5 cups
Step-by-step explanation:
let x rep a cup of sugar
and y rep a cookie
and k be constant
x/kx=6y/30y
k=5
