Answer:
y = (6/11)x + 13/11
Step-by-step explanation:
y = mx + c
m = (-1-5)/(-4-7) = -6/-11 = 6/11
y = (6/11)x + c
When x = 7, y = 5
5 = (6/11)(7) + c
5 = 42/11 + c
c = 5 - 42/11
c = 13/11
y = (6/11)x + 13/11
11y = 6x + 13
Answer:
option a)
y = m(0.5) + 1.8
Step-by-step explanation:
Equation
<h3>
y = mx + c</h3>
represent the equation of straight line
here m = gradient of straight line
c = y-intercept
First find the gradient of the graph
<h3>
m = y2 - y1 / x2 - x1</h3>
= 4 - 3 / 4 - 2
= 1 / 2
Put the values in the equation of straight line
y =mx + c
4 = 1/2(4) + c
c = 2
y = 1/2x + 2
which is approximately equal to y = 0.5x + 1.8
The answer is b because are congruent
Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
