The greatest common factor of 10 and 20 is 10.
312 mg is not greater than 312 dg
3. Answer: a) RT
b) XZ
c) TS
4. Answer: a) 26
b) 58
c) 21.5
d) 127
<u>Step-by-step explanation:</u>
2(PT) = AE 2(CP) = AN 2(CT) = EN
2(13) = AE 2(29) = AN 2(CT) = 43
26 = AE 58 = AN CT = 21.5
Perimeter = AE + AN + EN
= 26 + 58 + 43
= 127
Answer:
He must survey 123 adults.
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 z-score that has a p-value of 
.
The margin of error is:
Assume that a recent survey suggests that about 87% of adults have heard of the brand.
This means that 
90% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
How many adults must he survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage?
This is n for which M = 0.05. So
Rounding up:
He must survey 123 adults.
<h3>
Answer: 35.54 degrees</h3>
How I got this answer:
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 5/7
A = arctan(5/7) .... apply the inverse tangent, same as arctangent
A = 35.5376778 ... make sure your calculator is in degree mode
A = 35.54 .... rounding to two decimal places
