Answer: 84
<u>Step-by-step explanation:</u>
Set up a proportion as follows:
Cross multiply: 12x = 7 × 144
Divide by 12: x = 7 × 12
Simplify: x = 84
wind and weather patterns are caused when warm air near the surface of the earth rises to higher levels in the atmosphere the ai
1 answer:
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Answer:
Step-by-step explanation:
We first need to figure out what the equation is for this set of circumstances before we can answer any questions. We will use the equation
which is just another form of an exponential equation where
(1 + r) is the growth rate, P is the initial investment, and t is the time in years. We will fill in the values we know first to create the equation:
which simplifies to
Now we'll just sub in a 1 for t and solve, then a 2 for t and solve.
When t = 1:
A(t) = 4000(1.11) so
A(t) = 4440
When t = 2:
which simplifies to
A(t) = 4000(1.2321) so
A(t) = 4928.40
Answer:
a) and
b) and
c)
d) and
Step-by-step explanation:
Part a
On this case the confidence is 87% or 0.87 so the significance level is and
. On this case we can assume that is a bilateral test or a confidence interval so we will have two critical values.
We need values a,b on the normal standard distribution such that:
or
and in order to find it we can use the following code in excel:
"NORM.INV(0.065,0,1)" or "NORM.INV(1-0.065,0,1)", and we see that the critical values and
Part b
On this case the confidence is 92% or 0.92 so the significance level is and
. On this case we can assume that is a bilateral test or a confidence interval so we will have two critical values.
First we need to calculate the degrees of freedom given by:
We need values b,c on the t distribution with 14 degrees of freddom such that:
or
and in order to find it we can use the following code in excel:
"T.INV(0.04,14)" or "T.INV(1-0.04,14)", and we see that the critical values and
Part c
The significance level is and is a left tailed test. On this case we know that is a left tailed test so then we have just one critical value.
First we need to calculate the degrees of freedom given by:
We need a value c on the t distribution with 17 degrees of freddom such that:
, and in order to find it we can use the following code in excel:
"T.INV(0.025,17)", and we see that the critical values
Part d
The significance level is and
. On this case we know that w ehave a two tailed proportion test, so we will have two critical values.
We need values a,b on the normal standard distribution such that:
or
and in order to find it we can use the following code in excel:
"NORM.INV(0.04,0,1)" or "NORM.INV(1-0.04,0,1)", and we see that the critical values and