Answer:
Probability of choosing a penny at random is 1/5 or 0.2
Step-by-step explanation:
For many probabilities like this one, you have to add the total of materials or items together, even if they are different colors, shape, coin type, etc.
you have 12 pennies, 19 nickles, 14 dimes, and 15 quarters. This adds up to a total of 60 coins. Twelve of those are pennies.
You have twelve possible pennies to choose at random from a total of 60 in a bag.
So 12/60/ This simplifies to a probability of 1/5. If you divide 1 by 5 than it would be 0.2
The probability of choosing a penny from a bag of coins is 1/5, or 0.2.
Hope this helps
Answer:
Step-by-step explanation:
From the given function,
f(x) = -3(x + 1)²+ 18
By comparing this equation with the standard equation of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex.
Part A
Vertex of the given equation → (-1, 18)
Part B
y-intercept → For the value of y at x = 0
y = -3(0 + 1)² + 18
y = -3 + 18
y = 15
y - intercept → (0, 15)
Part C
Since, the given function is opening downwards,
Function will have a maximum.
Part D
Coordinates of maximum point → (-1, 18)
Part E
Axis of symmetry → x = -1
Answer:
18
Step-by-step explanation:
The hypotenuse (longest side) = The 2 sides added together.
