Remember, you can do anything to an equation as long as you do it to both sides
and when multiply or divide by a negative in inequalities, flip the direction of the sign
12x-39<9
add 39 to both sides
12x<48
divde bothh sides by 12
x<4
-4x+3<-6
minus 3 both sides
-4x<-9
times both sides by -1 and flip sign
4x>9
divide both sides by 4
x>9/4
Answer:
<em>45 and 135</em>
Step-by-step explanation:
The sum of any interior angles will be 180 so you divide 180 by 4. And you get <em>45</em> then you multiply that by 3 and you get <em>135</em>
Answer:
option a) 30 : 19
Step-by-step explanation:

<em><u>Ratio of length to width:</u></em>
<em><u></u></em>

Answer:
The correct option is d
Step-by-step explanation:
From the question we are told that
The population size is 
The sample size is 
The sample mean is 
The standard deviation is 
Given that the confidence level is 95% then the level of significance can be calculated as



Next we obtain the critical value of
from z-table , the value is 
The reason we are obtaining critical value of
instead of
is because
represents the area under the normal curve where the confidence level interval (
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
.
NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)
Generally the margin of error is mathematically represented as

substituting values


The 95% confidence level interval is mathematically represented as

substituting values


![[116.5 , 119.5]](https://tex.z-dn.net/?f=%5B116.5%20%2C%20119.5%5D)
If Mallory makes $42.50 per hour and she works 20 hours a week, we multiple those two and we get:
42.5 * 20 = 850
So she earns $850 per week.
Mallory saves half of that amount she would have $425 per week.
In 4 weeks she would have:
425 * 4 = 1700
Mallory will save $1,700 in four weeks.