Answer:
Step-by-step explanation:
Given the following coin values ;
A) 1/2 B. 3 cents C. 20 cents D. $2 1/2 E. $5, state it's worth as a percentage of $1
A) $1/2 as a percentage of $1
$1/2 = $0.5
($0.5/ $1) × 100% = 50%
B) 3 cent as a percentage of $1
3 cent = 3/100 = $0.03
($0.03/$1) × 100% = 3%
48x0.2= $9.6
$48-9.6=$38.40 Her friend is incorrect.
40/48 =0.83 or about 83% So, in this case she only got 17% off. :)
<span>Hope I helped </span>
Answer:
Step-by-step explanation:
We are given the two functions:
And we want to find:
This is equivalent to:
By substitution:
Rearranging yields:
Combine like terms:
Hence:
Answer:
Step-by-step explanation:
You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.
We know that 
; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this: 
, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."
One historical quirk: because we use the decimal system, it's assumed that an expression like 
uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"
The expression 
means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is .
(If we wanted to, we could also solve this: 
, so 
)
Answer:
Concluding that people should take vitamin supplement each day when they don't help.
Step-by-step explanation:
We are given the following in the question:
Hypothesis:
Taking a vitamin supplement each day has significant health benefits and does not have any harmful side effects.
Null hypothesis:
Taking a vitamin supplement each day does not have have significant health benefits.
Alternate hypothesis:
Taking a vitamin supplement each day have have significant health benefits.
Type I error:
- It the error of rejecting the a true null hypothesis.
So error I for this situation would be concluding that people should take vitamin supplement each day when they don't help.
