Answer:
since the sum of all angles of a triangle is 180°
Step-by-step explanation:
so 100°+4y+25°+3y+20=180°
145°+7y=180°
7y=180°-145°
7y=35°
y=5°
Given:
1. Combining like terms (here terms 6x and 2x both contain x, then we can combine them):

2. Distributive postulate:

The equation is

3. Zero product postulate (zero product postulate state that if a product of two factors is equal to zero, then first factor is equal to zero or second factor is equal to zero):

4. Subtraction property of equality:
a) subtract 6 from the first equation:

b) subtract 2 from the second equation:

Answer:


Step-by-step explanation:
For this case we have the following info given:
Treatment: 12 13 15 19 20 21 24
Control: 18 23 24 30 32 35 39
We can find the sample mean and deviations with the the following formulas:


And repaplacing we got:
the sample mean for treatment
the sample mean for treatment
the sample deviation for treatment
the sample deviation for control
the sample size for each sample
The degrees of freedom are given by:

The confidence interval for the difference of means is given by:
The confidence is 98% so then the significance is
and
. Then the critical value would be:

And replacing we got:


Answer:
50x + 200
Step-by-step explanation:
50 dollars each month (for x months) is 50x, and the initial cost is 200 (flat fee) which means that the expression is 50x+200