Answer:
The answer to your question is: g(3) = 34
Step-by-step explanation:
Function g(x) = 4(x)² - 3(x) + 7
g(3) = 4(3)² - 3(3) + 7 substitution
g(3) = 4(9) - 3(3) + 7 simplify
g(3) = 36 - 9 + 7
g(3) = 36 - 2
g(3) = 34
Answer:
0.0035289
Step-by-step explanation:
From the question;
mean annual salary = $63,500
n = sample size = 31
Standard deviation = $6,200
Firstly, we calculate the z-score of $60,500
Mathematically;
z-score = x-mean/SD/√n = (60500-63500)/6200/√(31) = -2.6941
So we want to find the probability that P(z < -2.6941)
We can get this from the standard normal table
P( z < -2.6941) = 0.0035289
Answer:
feet
Step-by-step explanation:
In a 30-60-90 triangle, the ratios of the side lengths of the triangle is 
Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.
First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

Solving for x, we find that

So the length of the original pole would be
feet
If you found this answer helpful, please consider marking it as brainliest, or give it a thanks and a 5 star review. Thanks!
Answer:

Step-by-step explanation:
<u>Step 1: Multiply
</u>




Answer: The correct answer is -1