Answer:
The mean for the sample mean distribution is 297 minutes.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution?
The mean is the same as the population mean, that is, 297 minutes.
First attatchment:
1. Given
2. Definition of a parrallelogram
3. Transitive
4. Parts of line FE and AB
5. Opposite sides of a parallelogram are parallel.
You want to switch those last two because you're using what you want to prove to prove something before you've proved it, which is fallacious.
SECOND ATTATCHMENT:
In a parallelogram, opposite angles are equal and same side interior angles add up to 180.We have 2x+60+x+30=180 which means 3x+90=180 so x=30.Since x is 30 then angle to is 60 which means that angle A is 60, not 30.
THIRD ATTATCHMENT:
This is just the triangle midpoint theorem. SM is parallel to RU not VS.
FOURTH ATTATCHMENT:
Angle X and angle F are corresponding angles, so they are actually equal. You want Angle G and Angle F becuase they are same side interior angles.
FIFTH ATTATCHMENT:
this is correct
Answer:
A'(4,-6) , B'(0,1), C'(-2,-2)
Step-by-step explanation:
From the given graph the coordinates of ΔABC area A (2,-2), B(-2,5) and C(-4,2)
If a translation is applied on ΔABC two units to the right and four units down to create ΔA'B'C'.
Then to find the coordinates of ΔA'B'C' will be we need to apply the translation rule

Now, 

and 
Answer:
Option B. MN/MO
Step-by-step explanation:
In a right angle triangle cosine of any acute angle = Base/ Hypotenuse
In the ∠ NMO Hypotenuse is MO and base of the triangle is MN.
Therefore cos (M) = Base / Hypotenuse = MN / MO
Therefore option B is the right answer.
Answer:
A
Step-by-step explanation:
Vertex appear to be at (5,115)
A) h = -b/2a
= -(20)/2(-2) = 5
k = -2(5²) + 20(5) + 60 = 110