Answer:
x = 21°
Step-by-step explanation:
Complementary angles have a sum of 90°. If ∠A + ∠B = 90°, we know that
x - 6° + 3x = 90°.
4x - 6° = 90°
4x = 96°
x = 24°
Hope this helps!
A person or thing situated away or detached from the main body or system
Answer:
3.2
Step-by-step explanation:
Here we are told that a population has a standard deviation of 32 and that we have a sample of size 100 from this population that are asked for the standard error of the sampling distribution. Now it would be important to know what statistic we are taking from these samples. Now we would need to know what what statistic we're taking from these samples. Um I'm assuming that we're talking about sample averages in this case the standard error is well, let's sample averages are just distributed like this. They are so we have anna's big, which means that our sample averages are going to be approximately normally distributed. The mean of the sample averages will be equal to the mean of the population, and the standard air of the sample averages will be equal to the population. Standard deviation divided by the square root of the sample size. So this is our standard error of the sampling distribution, And so this is equal to 3.2. So that is your answer.
- Hope this helps! -
Answer:
Step-by-step explanation:
1). Given equation is,
2x² - 3x = 6
2x² - 3x - 6 = 0
To find the solutions of the equation we will use quadratic formula,
x = 
Substitute the values of a, b and c in the formula,
a = 2, b = -3 and c = -6
x = 
x = 
x = 
x = 
Therefore, there are two real solutions.
2). Given equation is,
x² + 1 = 2x
x² - 2x + 1 = 0
(x - 1)² = 0
x = 1
Therefore, there is one real solution of the equation.
3). 2x² + 3x + 2 = 0
By applying quadratic formula,
x =
x = 
x = 
x = 
x = 
Therefore, there are two complex (non real) solutions.
