1/7 = -3/2w -4/5
add 4/5 to both sides
1/7 + 4/5= -3/2w
change to common denominator; 5 & 7 go into 35
(1*5)/35 + (4*7)/34= -3/2w
5/35 + 28/35= -3/2w
33/35= -3/2w
divide by -3/2 on both sides; multiply by the reciprocal of -3/2
33/35 * -2/3= w
-66/105= w
simplify by 3
-22/35= w
CHECK:
1/7 = -3/2w - 4/5
1/7= -3/2(-22/35) - 4/5
1/7= 66/70 - 4/5
1/7= 66/70 - 56/70
1/7= 10/70
1/7= 1/7
ANSWER: w= -22/35
Hope this helps! :)
Answer:
398-cent stamp for postage.
Step-by-step explanation:
For one letter, Travis needs 37-cent stamp
For four letters, Travis needs 37-cent stamp x 4 letters
= 148-cent
Again,
For one postcard, he needs 25-cent stamp
For ten postcards, he needs 25-cent stamp x 10 postcards
= 250-cent
Therefore, he will spend = (148-cent + 250-cent) = 398-cent stamp for postage.
The assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
Important assumptions in regression model analysis are
- There should be a linear and additive relationship between dependent (response) variable and independent (predictor) variable(s).
- There should be no correlation between the residual (error) terms. Absence of this phenomenon is known as auto correlation.
- The independent variables should not be correlated. Absence of this phenomenon is known as multi col-linearity.
- The error terms must have constant variance. This phenomenon is known as homoskedasticity. The presence of non-constant variance is referred to heteroskedasticity.
- The error terms must be normally distributed.
Hence we can conclude that the assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
Learn more about regression model here
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Let the number of pants have to be made be x.
So,
9.55 * x = 525.00
x =
≈ 54.97
Thus, the number of pants have to be made are 54.
