Answer:
A sample of 997 is needed.
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 of:
A previous study indicates that the proportion of left-handed golfers is 8%.
This means that 
98% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?
This is n for which M = 0.02. So
Rounding up:
A sample of 997 is needed.
X = height of pole (in meters)
With respect to the 50 degree angle, the side x is the opposite leg. It is the leg furthest from the reference angle. The hypotenuse is 5 meters.
The trig function sine ties together the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(50) = x/5
5*sin(50) = x .... multiply both sides by 5
x = 5*sin(50)
------------------
Since x = 5*sin(50) isn't listed as an answer choice, let's try using cosine. We can't use it right away because we don't know the adjacent side. What we can do is change the reference angle. The missing angle of the triangle is 90-50 = 40 degrees. Let's make the 40 degree angle the reference angle
So x is now the adjacent side with respect to the 40 degree reference angle. The hypotenuse is always the longest side. The hypotenuse stays at 5.
cos(angle) = adjacent/hypotenuse
cos(40) = x/5
5*cos(40) = x
x = 5*cos(40)
This expression is listed. The answer is choice B
Answer:
CD is 6 cm and DE is 4 cm.
Step-by-step explanation:
Well it‘s the correct answer and I got it right so good luck out there bois!
Hey there!
PEMDAS simply means (the OVERALL question answer)
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
Here’s an example
24 - 4^2 + 2 * 4
= 24 - 16 + 2 * 4
= 24 - 16 + 8
= 8 + 8
= 16
Thus, the answer for that equation is: 16
Often people remember PEMDAS by saying. (So, I’d advise you think of it like that way as well!)
• Please
• Excuse
• My
• Dear
• Aunt
• Sally
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
(48 m^12)/n^8
Step-by-step explanation:
Simplify the following:
3 ((2 m^3)/(n^2))^4
Multiply each exponent in (2 m^3)/(n^2) by 4:
3×2^4 m^(4×3) n^(-2×4)
4 (-2) = -8:
3×2^4 m^(4×3) n^(-8)
4×3 = 12:
(3×2^4 m^12)/(n^8)
2^4 = (2^2)^2:
(3 (2^2)^2 m^12)/(n^8)
2^2 = 4:
(3×4^2 m^12)/(n^8)
4^2 = 16:
(3×16 m^12)/(n^8)
3×16 = 48:
Answer: (48 m^12)/n^8
