Answer:
detail answer is given go through it .....
"2x2 + 3x = −5" should be re-written as 2x^2 + 3x +5 = 0. This is a quadratic equation with a=2, b=3 and c=5. Thus, the roots are:
-3 plus or minus √(9-4[2][5])
x = ---------------------------------------------
4
or:
-3 plus or minus √(-31)
x = ----------------------------------
4
or:
-3 plus or minus i*√31
x = ----------------------------------
4
Answer:
The confidence interval at at 99% level of confidence is <em>93.7 ≤ μ ≤ 96.9</em>.<em> </em>
Step-by-step explanation:
Step 1:
We must first determine the z-value at a confidence level of 99%.
Therefore,
99% = 100%(1 - 0.01)
Thus,
α = 0.01
Therefore, the z-value will be
z_(α/2) = z_(0.01/2) = z_0.005 = 2.58
(The z-value is read-off from the z table from the standard normal probabilities.)
Step 2:
We can now write the confidence interval:
X - z_(α/2) [s/√(n)] ≤ μ ≤ X + z_(α/2) [s/√(n)]
95.3 - 2.58(6.5/√(104)) ≤ μ ≤ 95.3 + 2.58(6.5/√(104))
<em>93.7 ≤ μ ≤ 96.9</em>
Therefore, confidence interval is <em>93.7 ≤ μ ≤ 96.9 </em>which means that we are 99% confident that the true mean population lies is at least 93.7 and at most 96.9.
Answer:angle DBC is Obtuse, it's more than 90° but less than 180°
Step-by-step explanation:
Answer:
1 + 5x
Step-by-step explanation:
Like terms are terms with the same variable parts.
Let's look at each term:
3 it has no variable
5x it has the variable x
-2 it has no variable
The terms 3 and -2 have no variables, so their variable parts are the same. They are like terms and can be combined. The term 5x has the variable part x. There is no other term with the same variable part as 5x, so 5x cannot be combined with anything.
3 + 5x - 2 =
= 3 - 2 + 5x
= 1 + 5x
