Answer:
x=6
Step-by-step explanation:
2 (x-4) +3 =7
Subtract 3 from each side
2 (x-4) +3-3 =7-3
2(x-4) =4
Divide each side by 2
2(x-4)/2 = 4/2
x-4 = 2
Add 4 to each side
x-4+4 =2+4
x=6
Answer:
Step-by-step explanation:
Use the point-slope formula.
y - y_1 = m(x - x_1) you have : x_1 =5 and y_1 =1
m the slope m= -1 (same slope for the line : x+y=9 because this lines are parallel and you can write y=-x+9
an equation for this line is : y-1 = -(x-5)
Answer:
Step-by-step explanation:
Given that for a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears.
r = linear correlation coeff = 0.952
H_0: r =0\\
H_1 :r\neq 0
(Two tailed test)
r difference = 0.952
n=8
Std error = \sqrt{\frac{1-r^2}{n-2} } =0.12496
Test statistic t = 0.952/0.12496 = 7.618
Alpha = 0.05
df = 6
p value = 0.000267
This implies H0 is rejected.
There exists a linear relation between the variables and r cannot be 0
0.952^2 = 0.906=90.6% of variation in weight can be explained by the linear relationship between weight and chest size
Answer:
∠1 = 52
∠2 = 128
∠4 = 128
Step-by-step explanation:
∠3 and ∠1 are vertical angles
As we now vertical angles are congruent
So if ∠3 = 52°, then ∠1 also equals 52°
∠3 and ∠4 are supplementary angles
supplementary angles add up to equal 180
Thus, ∠3 + ∠4 = 180
If ∠3 = 52°
Then 52 + ∠4 = 180
180 - 52 = 128
Hence, ∠4 = 128
∠4 and ∠2 are vertical angles
Like stated previously vertical angles are congruent
So if ∠4 = 128 then ∠2 also equals 128
