Step-by-step explanation:
If there are 3 geometric means between 120 and ¹⁵/₂, then the sequence is:
120, 120r, 120r², 120r³, ¹⁵/₂
Therefore:
120r⁴ = ¹⁵/₂
r⁴ = ¹/₁₆
r = ½
The sequence is therefore:
120, 60, 30, 15, ¹⁵/₂
Answer:
The area of the trapezoid:
A = (base1 + base2) x height/2
= (6 + 12) x 8/2
= 18 x 4
= 72
Hope this helps!
:)
Dashed horizontal line through the points (0,4) and shaded below is :
y < 4
You know that the two angles on the longer sides must add to 180 degrees.
3x+5+70=180
3x+75=180
3x=105
X=35 degrees
So you've got x, now plug it into the other angle that you can determine.
2x
2(35)=70
Now you can use the previous strategy for the last angle
70+x+3y=180
70+35+3y=180
3y=75
Y=25 degrees
There you go, you've got x=35 and y=25
Explanation:
The sample mean is not always equal to the population mean but if we take more and more number of samples from the population then the mean of the sample would become equal to the population mean.
The Central Limit Theorem states that we can have a normal distribution of sample means even if the original population doesn't follow normal distribution, But we have to take a lot of samples.
Suppose a population doesn't follow normal distribution and is very skewed then we can still have sampling distribution that is completely normal if we take a lot of samples.
