Answer:
A
Step-by-step explanation:
When you rotate the shape it will be the same as it was before .
Step-by-step explanation:
Let's call x the lenght and y the height. The perimeter will be:
p = 2x + 2y = 10
When the lenght is halved and the height double we'll have:
p = x + 4y = 14
These 2 equations form a system of equations2 that can be solved and give as result:
y = 3
x = 2
Answer:
the probability that the shipment is accepted is 0.8865
Step-by-step explanation:
Given the data in the question;
N = 86, n/d = 5 and n = 2
now, without replacement
the probability that the shipment is accepted will be;
probability that the shipment is accepted = probability that non is defectives
so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))
p( non is defective ) = ( 81 / 86) × (80/85)
p( non is defective ) = 0.8865
Therefore, the probability that the shipment is accepted is 0.8865
N(1/5) = (2/15)
divide both sides by (1/5)
n = (2/15)/(1/5)
to divide fractions, cross multiply, e.g. (2*5)/(15*1) = 10/15
n = 10/15 = 2/3 or 0.666666.
a) The formula for compound interest is:
Total = starting amount x (1 + interest rate)^ number of years
b)
Using the given information you have:
1200 = 500 x (1+0.045)^x where x is the length of time you want to find.
1200 = 500 (1.045)^x
Divide both sides by 500:
2.4 = 1.045^x
Use natural logarithms:
ln(1.045^x) = ln(2.4)
Solve for x:
X = ln(2.4) / ln(1.045)
X = 19.889 years ( Round the answer as needed).
