Answer:
Step-by-step explanation:
since we can see that the lines are parallel
and we can see that the both are interior angles and when we sum up both angles we get 180
2x - 5 + 45 = 180
2x + 40 =180
2x = 180 - 40
2x =140
x = 140/2
x = 70
Answer:
c a = 2.4b
Step-by-step explanation:
y = kx is the form of the equation where k is the constant of proportionality
y and x can be any letters
Replacing y and x with a and b and k with 2.4
a = 2.4b
[0,5] since the function defined
3(x-4)>= 5x+2
Distributing 3 on x-4
3(x)-3(4)>=5x+2
3x-12>=5x+2
Now we need to move x terms together and the numbers together and for that we subtract 5x to both sides and add 12 to both sides
-2x >=14
Now we need to get rid of -2, and for that we divide both sides by -2 and on dividing by negative number, the sign of inequality change , that is
x<=-7
Answer:
Based on given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.
Step-by-step explanation:
Sample 1 for female
Sample 2 for male
Confidence = 90%
Difference in mean weekly salary of all female employees and the mean weekly salary of all male employees = µ₁- µ₂
So based on above given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.