Answer:
Step-by-step explanation:
Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories have a Normal distribution due to inexact cutting of the pies. Which graph represents the proportion of pieces of pie that have more than 375 calories.
Answer: The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and for a negative z score means the raw score is below the mean. The z score is given as:
Given that: μ = 350 calories, σ = 20 calories, x > 375
From the graph, The shaded area represents the proportion of pieces of pie that have more than 375 calories
From the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25)
= 1 - 0.8944 = 0.1056 = 10.56%
Answer: OPTION C.
Step-by-step explanation:
For this exercise it is important to remember the following:
Knowing this and based on the information provided in the exercise, you can make the conversion from kilograms to ounces. This is:
According to the exercise, Miriam's procedure was:
So you can identify that she made a mistake.
Notice that:
1. Miriaim multiplied correctly.
2. Butt the third fraction should be 
and not 
.
When the ball will hit the ground, the height will be zero. So we need to replace
with 0 in our equation, and solve for
:
To solve this equation we are going to use the quadratic formula:
.
From our height equation, we can infer that
,
, and
. So lets replace those values in our quadratic formula to find
or
or
Since time cannot be negative,
is the solution of our equation.
We can conclude that the ball will hit the ground after
2.71 seconds.
since the triangles are similar
angle DEC = 60 degrees
3 angles inside a triangle equal 180 degrees
BAC = DCE = 64
CBA = EDC = 56
DEC = 180 -56 -64 = 60 degrees
used angle-angle theorem
