Answer:
y=-x+5
Step-by-step explanation:
first, let's find the slope of the line (m), using the equation (y2-y1)/(x2-x1)
here are the given points: (4,1) and (8,-3)
label the points:
x1=4
y1=1
x2=8
y2=-3
now substitute into the equation
m=(-3-1)/(8-4)
m=(-4)/4
m=-1
the slope of the line is -1.
Now, use slope-point form, which is y-y1=m(x-x1)
substitute the numbers into the equation
y-1=-1(x-4)
do distributive prop
y-1=-x+4
add 1 to both sides
y=-x+5
the equation of the line is y=-x+5
hope this helps :)
Answer:
90 Confidence Interval for the proportion = [ 0.216,0.334]
Step-by-step explanation:
The confidence interval for proportion formula =
p ± z × √p(1 - p)/n
Where p = x/n
x = 42
n = number of samples = 153
p = 42/153
p = 0.2745098039 ≈ 0.275
z = z score of 90% confidence interval = 1.645
Confidence interval =
0.275 ± 1.645 × √0.275 - ( 1 - 0.275)/153
= 0.275 ± 1.645 × √0.0013031046
= 0.275 ± 0.0593820985
Confidence Interval
= 0.275 - 0.0593820985
= 0.2156179015
≈ 0.216
= 0.275 + 0.0593820985
= 0.3343820985
≈ 0.334
90 Confidence Interval for the proportion = [ 0.216,0.334]
x=9 units, y=12 units, u=24 units and v=32 units
Step-by-step explanation:
The question is on similarity.
The ratio of corresponding sides should be equal for the triangles to be similar.
Finding x
20/5=(3+x )/3
apply cross product
60=15+5x
60-15=5x
45=5x
45/5=x
9=x
Finding y
20/5=(4+y)/4
Apply cross product
80=20+5y
80-20=5y
60=5y
60/5 =y
12=y
Finding u after replacing values of x and y
60/20 = (12+u)/12
perform cross product
720=240 +20 u
720-240 =20u
480 =20 u
480/20 =u
24 =u
Finding v after replacing values of x and y
60/20 = (16+v)/16
perform cross product
960=320+20v
960-320 = 20v
640=20v
640/20 =v
32= v
Learn More
Ratio of sides in similar triangles :brainly.com/question/11717086
Keywords ; triangle, find, x,y,u,v
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