<span>3x - 5 < 4.
Add 5 to both sides,
3x < 9
Divide 3 from both sides,
x < 3
Hope this helps!</span>
You want to find the area left over after the pool is built, so subtract the area of the pool from the area of the yard.
Area of Yard= Base x Height = 14x*19x = 266x^2
Area of Circle= Pi x Radius^2 = (6x)^2*pi = 36x^2*pi
Now subtract the two areas:
266x^2-(36^2*pi)
266x^2-36x^2*pi
Take 2x^2 as a common factor:
2x^2(133-18pi)
D: <span>2x^2(133-18pi)
Hope this helps :)</span>
Answer:
The correct option is B
(-1)(1/2)(-1)(1)
Step-by-step explanation:
First thing to notice is that there is are two brackets with negative values, which means that the result must also be positive (or have two brackets with negative values).
Looking at the options, we can screen out options A and D, they have three brackets with negative values, and can't be chosen.
It is now between options B and C.
Option B, by inspection is simply 1/2
Option C is 12/4 = 3
The problem itself is 12/35
12/24 = 1/2
12/36 = 1/3
Since 12/35 is about 1/3, it is closer to 1/2 than 3, so 1/2 is the best option.
Answer:
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Step-by-step explanation:
We use the central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a sample size larger than 30 can be approximated to a normal distribution with mean
and standard deviation 
So
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Answer:
I think 0.7
Step-by-step explanation: