Step-by-step explanation:
y -4x = -1
y = 4x -1
then y = Mx + b
m = 4
b = -1
Answer:
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Step-by-step explanation:
Answer:
<em>0.5306</em>
<em>0.5694</em>
Step-by-step explanation:
USing the formuls for calculating the confidence interval for the population proportion;
CI = p±Z*√[p(1-p)/n]
p is the percentage proportion of the population 55%
Z is the z-score at 99% confidence interval = 2.576
n is the sample size = 1079
CI = 0.55 ± 2.576*[0.55(1-0.55)/√1079]
CI = 0.55 ± 2.576*[0.55(0.45)/√1079]
CI = 0.55 ± 2.576*[0.2475/√1079]
CI = 0.55 ± 2.576*[0.2475/32.85]
CI = 0.55 ± 2.576*[0.00753]
CI = 0.55 ±0.0194
CI =(0.55-0.0194, 0.55+0.0194)
CI = (0.5306, 0.5694)
<em>Hence, a 99% confidence interval of the proportion of the population that will support such a law is 0.5306</em>
<em>0.5694</em>
Answer:
A, an = 2n. B. an = 2(n-
Step-by-step explanation:
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Answer:
<em>V(t) = π(4cos πt -5sinπt) cm</em>
Step-by-step explanation:
Given the displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 4 sin πt + 5 cos πt, where t is measured in seconds, the average velocity of the body will be expressed as the change in displacement of thee particle with respect to time.
This is expressed mathematically as V = ds/dt
Differentiate the displacement function to get the velocity V
V = 4πcos πt + (-5πsin πt)
open the parenthesis
V = 4πcos πt - 5πsin πt
bring out the common factor
V = π(4cos πt -5sinπt)
<em>Hence the average velocity of the body during each time is expressed as </em>
<em>V(t) = π(4cos πt -5sinπt) cm</em>
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