Answer: f(x)=2-x^2
Step-by-step explanation:
The quadratic equation is
y=ax^2+bx+c
and c is equal to the y-intercept.
in the twi graphs shown both have the same shape but different y-intervepts.
c(the y-intercept) in the first graph is 5 and in the second graph(F) is 2.
Answer:
Step-by-step explanation:
1/18 x 10.8 = 0.6 meters
The model of the boats' length is 0.6 meters.
Answer:
Step-by-step explanation:
The first step you want to do is get one variable by itself. We are going to start by isolating y by itself.
-3x + 9y = -27
9y = 3x - 27
y = 1/3x - 3
By isolating y by itself, you now have a function written in slope-intercept form. To graph this function, you can draw a point at (0,-3), then use rise/run to go up 1 unit and over 3 units to the next point (3,-2). You can then draw a line based on this information.
Answer:
it's a yes
Step-by-step explanation:
X/6 ≤ 30
to find the value of X we have to move the numerical to the other side
in this case the number is 1/6
X * 1/6 ≤ 30
so to balance the both side and get rid of the number on the left side we multiple with 6.
1/6*6 = 1 on the left side
30*6 = 180 on the right side
so the full equation will be
X * 1/6 * 6 ≤ 30 * 6
X * 1 ≤ 180
X ≤ 180
Answer:
Step-by-step explanation:
Assuming this previous info : "Trucks carry barrels of crude oil from a port in Texas to a distributer in New Mexico on long trailers. Filling equipment is used to fill the barrels with the oil. When functioning properly, the actual volume of oil loaded into each barrel by the filling equipment at the port is approximately normally distributed with a mean of 55 gallons and a standard deviation of 0.5 gallons. If the mean is greater than 55.4 gallons, the filling mechanism is overfilling."
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount filling of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.