Answer:
144
Step-by-step explanation:
20×12=240
add 4 to 20 and 12
makes a new rectangle 24×16
24×16=384
384-240=144
Answer:
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error:

For this problem, we have that:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is
We need a sample size of at least n, in which n is found M = 0.04.







With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.
Answer:
2
Step-by-step explanation:
1st step: solve the exponential number
2x^2=4x
3x^2=9x
2nd step: rewrite the number sentence with the exponent solved
4x-8x+8 9x+27x-30
3rd step : solve
4x-8x=-4x 9x+27x=36x
-4x+8= 36x-30=
4 6
Step 4: See what least common multiples they have in common
4 LCM =2 * 2= 4 6 LCM= 2*3=6
So the LCM is 2
Answer: The answer would be b, the side-angle-side postulate. :)
Step-by-step explanation:
This would be due to the definition of a bisector, and the reflexive property.
Answer:
∠ ABC = 116°
Step-by-step explanation:
Since the angles are supplementary, they sum to 180° , that is
8x - 36 + 4x - 12 = 180
12x - 48 = 180 ( add 48 to both sides )
12x = 228 ( divide both sides by 12 )
x = 19
Then
∠ ABC = 8x - 36 = 8(19) - 36 = 152 - 36 = 116°