Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
4
,
−
11
)
Focus:
(
4
,
−
43
4
)
Axis of Symmetry:
x
=
4
Directrix:
y
=
−
45
4
x
y
2
−
7
3
−
10
4
−
11
5
−
10
6
−
7
You have to consider the sample space. In this example the sample space
is {1,2,3,4,5,6}
A simple event can be defined as a SINGLE outcome : Example getting a 3 OR 5 OR any other number from the sample space.
Now if you roll 1 dice & you want to get an even number (2,4,6) then you have chosen from the sample space 3 outcome & this is a compound event
Equally if you roll 2 dice and want to get "one" and/or "three" this is a compound event since you have chosen 2 outcome from the sample space.
Mind you, if you want 5 And 5 when rolling two dice it's a simple event because you have chosen ONE outcome from the sample space.
Hope this will help you to understand this kind of problem
Answer:
x=32
Step-by-step explanation:
If you do 2x-16+4x+4=180, then you should get 32.
Since there are no multiples other than 1 and -1 that could multiply in any way to equal 1, those are the only numbers you can really work with
it is a possibility that a, b, and c could equal 1 but then it would go wrong when comes time to subtract since all numbers are equal and cannot subtract largest from smallest.
a logical approach would be to try -1, -1, and 1 since -1 * -1 = 1 and then 1* 1 =1
we can make a= -1 , b= -1, and c= 1
(we need b to equal -1 so that we get an answer of -1 opposed to if we made a=-1 and c=-1, all outcomes would equal 1)
-1²=1
-1³=-1
1⁴= 1
since 1 is the largest possible outcome and -1 is the lowest possible outcome you should subtract the two
1-(-1) = 1+1 = 2
The answer should be D: 2
hoped this helped at all!
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean given
represent the population standard deviation
sample size
represent the value that we want to test
t would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this:
