F(2) = g(-2)
hope this helped :)
Answer:
<h2><em><u>
x = 52</u></em></h2>
Step-by-step explanation:
<em><u>Known:</u></em>
What to find = x
Exterior angle = 142
Right angle = 90
<em><u>Unknown:</u></em>
what unknown value is = ?
Interior angle = ?
<em><u>1. Find the angle of the interior angles.</u></em>
180 - 142 = 38
<em><u>2. Add the two known angles</u></em>
38 + 90 = 128
<em><u>3. Subtract from 180</u></em>
180 - 128 = 52
<h2><em><u>
x = 52 is the answer.</u></em></h2>
Hope this helped,
Kavitha Banarjee
The simplest form of -(6x+2y)+4(2x-y) = -2(-x+3y).
Answer:
Distance = 660 meters
Step-by-step explanation:
Given the following data;
Radius, r = 21 m
Number of revolutions = 5 times
To find the distance covered;
The distance covered in one revolution is given by the circumference of a circle.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Substituting into the formula, we have;
C = 2 * 22/7 * 21
C = 44 * 3
C = 132 meters
Next, we find the distance covered;
Distance = Circumference * Number of revolutions
Distance = 132 * 5
Distance = 660 meters
Complete question :
The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.
Answer:
0.10868
Step-by-step explanation:
Given that :
Mean (m) = 3.02
Standard deviation (s) = 0.29
Sample size (n) = 20
Probability of 3.10 GPA or higher
P(x ≥ 3.10)
Applying the relation to obtain the standardized score (Z) :
Z = (x - m) / s /√n
Z = (3.10 - 3.02) / 0.29 / √20
Z = 0.08 / 0.0648459
Z = 1.2336940
p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)
