Answer:
Step-by-step explanation:
Since AB and ED are parallel and AE is the transversal, angle A and E are congruent
So m∠E = m∠A = 50°
Answer:
We can conclude that there is significant evidence that Northwood residents owned their homes for a longer period of time compare to residents in the Southlake area
Step-by-step explanation:
H0 : μ1 = μ2
H1 : μ1 < μ2
Given :
n1 = 14 ; n2 = 28
x1 = 7.4 ; x2 = 9.1
s1 = 2.3 ; s2 = 2.9
α = 0.05
Test statistic :
(x1-x2) ÷ sqrt[(((n1-1)*s1² + (n2-1)*s2²) ÷ df) * (1/n1+1/n2)]
(7.4 - 9.1) ÷ sqrt[(((13*2.3^2) + (27*2.9^2)) ÷ 40) * (1/14 + 1/28)]
t = -1.7 ÷ sqrt[((68.77 + 227.07) / 40) * 0.1071428]
t = -1.7 ÷ sqrt(0.7924281488)
t = - 1.7 ÷ 0.8901843
t = - 1.909
t = - 1.91
The Pvalue :
P(t < - 1.91) = 0.028067
At α = 0.05 ;
Pvalue < α ; We reject the Null
We can conclude that there is significant evidence that Northwood residents owned their homes for a longer period of time compare to residents in the Southlake area
Answer:
x=1/2
y=7
Step-by-step explanation:
2x − y + 6 = 0
4x + y − 9 = 0
Solve the second equation for y
y = 9-4x
Substitute this into the first equation
2x - (9-4x) +6 = 0
Distribute the minus sign
2x -9 +4x +6 =0
6x -3 =0
Add 3 to each side
6x =3
Divide by 6
6x/6 = 3/6
x =1/2
Now find y
y = 9-4x
y = 9 -4(1/2)
y = 9 - 2
y =7
Answer:
(0,3/2)
Step-by-step explanation:
y-y1=m(x-x1)
y-0=3/8(x- -4)
y= 3/8x+ 3/2
3/2= y intersept
(0,3/2)= second point
Answer:
2972.5
Step-by-step explanation:
3500*7/8 - 90 = 2972.5