For the number line, an open circle will be drawn on the value of 6 and the arrow pointing to the right side.
<h3>Number line and inequality</h3>
Given the inequality expression as shown
-2x + 9 < x − 9
Collect the like terms
-2x - x < -9 - 9
-3x < -18
Divide through by -3
x > -18/-3
x > 6
For the number line, an open circle will be drawn on the value of 6 and the arrow pointing to the right side.
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Answer:
(13/2) cm
Step-by-step explanation:
The hypotenuse here is of length 13 cm. The shorter leg lies opposite to the 30° angle. Recall that the sine function is defined as
opposite side
sin Ф = -----------------------
hypotenuse
which, in this case, works out to:
opposite side
sin 30° = -----------------------
13 cm
and so the length of the opposite side (which is also the "shorter leg") is
shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm
Answer:
c. normal probability distribution
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean 
and standard deviation 
In this question:
By the Central Limit Theorem, it is a normal distribution, so option c.
I recommend using desmos if you wanna know what a graph looks like !
The answer to the question is 8
