Answer:
$43,512
Step-by-step explanation:
3.6% = 0.036
0.036 * 42,000 = 1,512
42,000 + 1,512 = 43,512
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The sample proportion is 
The margin of error is 
Given that the confidence level is 95% the level of significance is mathematically represented as



Next we obtain the critical value of
from the normal distribution table , the values is

The reason we are obtaining critical value of
instead of
is because
represents the area under the normal curve where the confidence level interval (
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
Generally the margin of error is mathematically represented as

substituting values




=> 
Answer:
B
Step-by-step explanation:
Since the triangle is right use the tangent ratio to find x
tan22° =
= 
Multiply both sides by x
x × tan22° = 203 ( divide both sides by tan22° )
x =
≈ 502.5 m → B
Answer:
y = 108x + 216
Step-by-step explanation:
given
y = 4x³ then
= 12x² = 
x = 3 ⇒ m = 12(- 3)² = 108
equation of tangent in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept ), hence
y = 108x + b
To find b substitute (- 3, - 108) into the equation
- 108 = -324 + b ⇒ b = - 108 + 324 = 216
y = 108x + 216 ← equation of tangent
Answer:
Mass is both a property of a physical body and a measure of its resistance to acceleration when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies. The basic SI unit of mass is the kilogram.
Step-by-step explanation: