Answer:
x=29
Step-by-step explanation:
the line in the middle of the triangle is at a right angle, so each side of it must equal 90 degrees, so then 90=3x+3, 90-3=3x then you simply, 87=3x which equals x=29.
Answer:
The point estimate for the population standard deviation of the length of the curtains is 8.58in.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The point estimate for the population standard deviation of the length of the curtains is . So
The point estimate for the population standard deviation of the length of the curtains is 8.58in.
Answer:
a. 12.5
Step-by-step explanation:
Scale factor of ∆LMN to ∆XYZ = 2:5
To find length of side ZX, set the ratio of the corresponding sides of interest equal to the scale factor.
Thus:
ZX corresponds to NL = 5
NL:ZX = 2:5
5:ZX = 2:5
5/ZX = 2/5
Cross multiply
5*5 = ZX*2
25 = ZX*2
Divide both sides by 2
25/2 = ZX
12.5 = ZX
ZX = 12.5
Answer: 5/8
Step-by-step explanation:
Number of green jelly beans = 3
Number of red jelly beans = 5
Total number of jelly beans = 3 + 5 = 8
The probability of selecting a red jelly bean would be:
= Number of red jelly beans /:Total number of jelly beans
= 5/8
