Using an ordered pair is a way of graphing a linear equation on a coordinate plane.
{(-1, 2), (0, 1), (1, 2), (4, 5)}.
Hi there!
Let’s take a look at the question.
One can of paint contains 2 2/5. We can make it easier by transforming the fraction (2 2/5) to a decimal (2.4). Now you have 2.4. Next, it says “one dozen”. One dozen refers to 12 cans. You’ll want to multiply 2.4 with 12.
Your answer is 28.8, or 28 4/5.
Hope this helps!
Answer:
Range is {y | y ≥ –11}
Step-by-step explanation:
This is quadratic equation.
<em>A quadratic equation's range can be found if we find the vertex.</em>
For quadratic equations that have a positive number in front of
, it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>
The formula for vertex of a parabola is:
Vertex = 
Where,
is the coefficient of 
is the coefficient of 
From our equation given,
and 
Now,
coordinate of vertex is 
coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the
value [
] into the equation. So we have:

Hence, the range would be all numbers greater than or equal to
Third answer choice is the right one.
Answer:
No, (-1,4) is not a solution.
Step-by-step explanation:
This is actually a simple problem...don't overcomplicate it!
All you need to do is plug the values into the equation and solve!
y < 2x + 5
4 < 2(-1) + 5
4 < 3
Answer:
10.03% probability of getting a cup weighing more than 8.64oz
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What is the probability of getting a cup weighing more than 8.64oz
This is the 1 subtracted by the pvalue of Z when X = 8.64. So

has a pvalue of 0.8997
1 - 0.8997 = 0.1003
10.03% probability of getting a cup weighing more than 8.64oz