Answer:
0.8808
Step-by-step explanation:
The objective is to calculate the probability of:
P(-1.20 ≤ z ≤ 2.64)
i.e. the probability that is the area between two z-values.
Thus;
P(-1.20 ≤ z ≤ 2.64) = P(z ≤ 2.64) - P( z ≤ 1.20)
From z table;
P(-1.20 ≤ z ≤ 2.64) = 0.9959 - 0.1151
P(-1.20 ≤ z ≤ 2.64) = 0.8808
We can see the shaded area under the standard normal curve from the image attached below.
Answer:
A parabola opens downward with vertex at (1,20)
Step-by-step explanation:
The function that models the height of bag of candies is

The graph of this function is a parabola that opens downward.
To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.
Factor -16 to get;

Add and subtract the square of half the coefficient of t.

Factor the perfect square trinomial:

The vertex is (1,20)
This means the maximum height after 1 second is 20 feet.
Answer:
18 servings
Step-by-step explanation:
Because 6 divided by 1/3 is the same as 6*3, we can just do it that way so it makes more sense.
6*3= 18
And there you have your answer!
Answer:
Claire will earn $25 in interest after 2 years.
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle ABC
-----> the cosine is the adjacent side to angle A divided by the hypotenuse
substitute the values and solve for x

