Answer:
p(n) = 4·6^(n-1)
Step-by-step explanation:
The sequence is a geometric sequence with first term 4 and common ratio ...
24/4 = 144/24 = 864/144 = 6
The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Filling in the values for this sequence, we have the general term ...
an = 4·6^(n-1)
Putting this in functional form, we have the population p as a function of year n ...
p(n) = 4·6^(n-1)
Answer: 139
Step-by-step explanation:
As per given , we have
The amount of caffeine per cup is ranging from 60-180 mg.
Range = Maximum - Minimum = 180 -60 =12
According to Range -rule ,
Standard deviation =
Formula for sample size : , where z* is critical z value and E is margin of error.
By z-table , the critical z-value for 95% confidence interval = 1.96
E= 5
Put all values in formula , we get
Hence, 139 cups of coffee would have be included in the sample.
Parallel lines have same slope
<span>The slope of the red line is -4/3
so
</span><span>The slope of the green line is -4/3
answer
C. -4/3</span>
Answer:
Step-by-step explanation:
Apply <u>PEMDAS</u> order of operations:
→ Parentheses
→ Exponents
→ Multiplication
→ Division
→ Addition
→ Subtraction
________________
<u>1) Parentheses:</u>
<u>2) Exponents:</u>
<u>3) Multiplication/Division:</u>
Convert to fraction:
Multiply 2 × 2, and 5 × 1:
Convert to fraction:
Apply fraction rule:
Multiply 4 × 1 and 5 × 3:
<u>4) Addition/ Subtraction:</u>
Finally, Convert fraction to mixed number:
<u>___________________________</u>