Answer:

Given:

Step-by-step explanation:
Two Angles are Complementary when they add up to 90° (a Right Angle).

Answer:
P ( x_bar > 335 ) = 0.9826
Step-by-step explanation:
Given:
- Mean amount u = 350
- standard deviation s.d = 45/year
- Sample size n = 40
Find:
- The probability of sample mean P( x_bar > 335 )
Solution:
- P ( x_bar > 335 ) = P ( Z > sqrt(n)*(x_bar - u)/s.d)
= P ( Z > sqrt(40)*(335-350)/45)
= P ( Z > -2.111) = P ( Z < 2.111)
= 0.5 + P( 0 < Z < 2.111)
= 0.5 + 0.4826
= 0.9826
Answer:
$48
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year,
then, solving our equation
I = 200 × 0.08 × 3 = 48
I = $ 48.00
The simple interest accumulated
on a principal of $ 200.00
at a rate of 8% per year
for 3 years is $ 48.00.
Answer:
Grade A: 
Grade B: 
Grade C: 
Grade D: 
Step-by-step explanation:
Problems of normally distributed samples can be solved using the Z score table.
The Z score of a measure represents how many standard deviations it is above or below the mean of all the measures.
Each Z score has a pvalue. This represents the percentile of the measure.
In this problem, we have that:
The upper 16% of the class get A grades. The upper 16% has a pvalue of at least 100% = 16% = 84% = 0.84. This is
.
The middle 34% of the class get B grades. The middle 34% has a pvalue of at least 84%-35% = 50% = 0.5 and at most 0.84. This is
.
Those between a pvalue of 0.5-0.34 = 0.16 and 0.5 get get grade C.
has a pvalue of 0.16. So a grade C is in the interval
.
Those with Z lesser than -1 get grades D and F
Answer:
3+y and 12+2y
Step-by-step explanation:
I mean they aren't equivalent because if you do PEMDAS (parenthesis, exponents, multiply, divide, add, subtract) Then, you would do 2 times 6 because parenthesis, that equals 12 so the answer would be
3+y and 12+2y