Answer:
(a) z = -1.53 --> P(x<z) = 0.0630
(b) z = -1.151 --> P(x<z) = 0,0655
(c) z = -0.63 --> P(x<z) = 0,2643
Step-by-step explanation:
To know the area that lies to the left, equal to P(x<z), the best way is to look at tables of standard normal curve.
(a) z = -1.53 --> P(x<z) = 0.0630
(b) z = -1.151 --> P(x<z) = 0,0655
(c) z = -0.63 --> P(x<z) = 0,2643
Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}
iren [92.7K]
Answer:
A) a_n = 5n + 2
B) a_n = (2^(n + 1)) - 1
Step-by-step explanation:
A) The sequence is given as;
{7,12,17,22,27,...}
The differences are:
5,5,5,5.
This is an arithmetic sequence following the formula;
a_n = a_1 + (n - 1)d
d is 5
Thus;
a_n = a_1 + (n - 1)5
Now, a_1 = 7. Thus;
a_n = 7 + 5n - 5
a_n = 5n + 2
B) The sequence is given as;
{ 3,7,15,31,63,...}
Now, let's write out the differences of this sequence:
Differences are:
4, 8, 16, 32
This shows that it is a geometric sequence with a common ratio of 2.
In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15
Thus, a_2 = 2a_1 + 1
Also, a_(2 + 1) = 2a_2 + 1
Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1
Thus; a_n can be expressed as:
a_n = (2^(n + 1)) - 1
Answer:
The horizontal distance between the parking lot and the launch site is 470 meters
Step-by-step explanation:
Let
x-----> the horizontal distance between the parking lot and the launch site
we know that
The tangent of angle of 12 degrees is equal to divide the altitude of 100 meters by the horizontal distance
so
tan(12°)=100/x
Solve for x
x=100/tan(12°)=470 meters
Answer:
A or C
Step by Step Explanation:
Answer:
y + 1 = 3(x - 1)
Step-by-step explanation:
The given point is (1,-1) meaning that x1 = 1 and y1 = -1
The slope of this line is m = 3 because we go up 3 and over to the right 1 (eg: go from the point (1,-1) to (2,2) to see this in action)
Plug these three pieces of info into the point slope formula below
y - y1 = m(x - x1)
y - (-1) = 3(x - 1)
y + 1 = 3(x - 1)
