Answers:
- x = 3
- CD = 21
- DE = 16
- CE = 21
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Explanation:
The congruent base angles are D and E. Opposite those angles are the sides CE and CD. These opposite sides are the same length.
CE = CD
16x-27 = 4x+9
16x-4x = 9+27
12x = 36
x = 36/12
x = 3
This x value then leads to the following:
- CD = 4x+9 = 4*3+9 = 12+9 = 21
- DE = 7x-5 = 7*3-5 = 21-5 = 16
- CE = 16x-27 = 16*3-27 = 48-27 = 21
We see that CD and CE are both 21 units long, which helps confirm we have the correct x value.
The interpretation is that we are 95% confident that the true population proportion p is somewhere between 0.58 and 0.64
The population proportion p in this case refers to the proportion of people who feel that race relations in this country are generally bad.
Something like 0.58 converts to 58% when you move the decimal point 2 spots to the right.
When you are rounding to the nearest tenth, you only look at the number right to the tenths which in this case is 5, so you round up the 6 to a 7, which will be.
8.7
Answer:
Step-by-step explanation:
18 miles..................60 min
18/60= 0.30 miles/ min
10 minutes 0.30*10=3 miles
Answer:

Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
solve for t
simplify
Apply ln both sides
Applying property of exponents
Remember that ln(e) =1
