On a typical number line, we have basically two directions that we can move on. Either to the left where the numbers are negative, of to the right where the numbers are positive.
Given that point E has a coordinate of 1 on a number line, and we are told that the distance between E and another point on the number line is 11 (EG), the possible coordinates of point G are two (either we are moving to the right or to the left). Therefore, possible coordinates of G are:
1 - 11 = -10 (to the left)
1 + 11 = 12 (to the right
Answer:
(x + 3)² = 14
Step-by-step explanation:
x² + 6x - 5 = 0
Add 5 and 9 on both sides.
x² + 6x + 9 = 14
Factor left side.
(x + 3)² = 14
Take the square root on both sides.
(x + 3) = ±√14
Subtract 3 on both sides.
x = -3 ±√14
Answer:
The 95% confidence interval is
Step-by-step explanation:
From the question we are told that
The population standard deviation is
The sample size is n = 20
The sample mean is
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>
Answer:
Therefore,
93.6 feet tall is the tower from the ground.
Step-by-step explanation:
Given:
x = Opposite side to angle 60
50 ft = Adjacent side to angle 60
7 ft = height of boy
So Height of the tower will be,
To Find:
Height of the tower = ?
Solution:
In Right Angle Triangle , Tangent Identity we have,
Substituting the values we get
Substituting "x" For Height of tower we get
Therefore,
93.6 feet tall is the tower from the ground.