Write the number 2.4 in the form a/b using integers
1 answer:
Answer:
Step-by-step explanation:
Here we have a number in the ones place, 2, and a number in the tenths place, 4.
- Any number in front of the decimal becomes the whole number in front of the mixed number fraction
- The numerator will be any number after the decimal
- The denominator will be the value of the place the number after the decimal is in
Here our whole number is 2, the numerator is 4, and it is in the tenths place, so our denominator will be 10
Our fraction becomes which then turns into the improper fraction
and then simplifying if needed becomes
after dividing the fraction by 2
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Answer:
t=0.21
Step-by-step explanation:
Given and a population mean
.
#We state our hypothesis as:
The evidence available should validate either the null or alternative hypothesis.
#We calculate the test statistic as:
Hence, the test statistic is t=0.21
Answer:
S(t) = a.sin (b.t) + d
a = -1.5, b = (2π/365), d = 3.47
S(t) = -1.5 sin (2πt/365) + 3.47
Step-by-step explanation:
Complete Question is presented in the attached image to this solution.
- Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function S(t) of time t (in days) using a sinusoidal expression of the form
S(t) = a.sin(b.t) + d.
On day t = 0, the stock is at its average value of $3.47 per share, but 91.25 days later, its value is down to its minimum of $1.97.
Find S(t). t should be in radians.
S(t) =
Solution
S(t) = a.sin(b.t) + d.
At t = 0, S(t) = $3.47
S(0) = a.sin(b×0) + d = a.sin 0 + d = 3.47
Sin 0 = 0,
S(t=0) = d = 3.47.
At t = 91.25 days, S(t) = $1.97
But, it is given that T has to be in radians, for t to be in radians, the constant b has to convert t in days to radians.
Hence, b = (2π/365)
S(91.25) = 1.97 = a.sin(b×91.25) + d
d = 3.47 from the first expression
S(t = 91.25) = a.sin (91.25b) + 3.47 = 1.97
1.97 = a.sin (2π×91.25/365) + 3.47
1.97 = a sin (0.5π) + 3.47
Sin 0.5π = 1
1.97 = a + 3.47
a = -1.5
Hence,
S(t) = a.sin (b.t) + d
a = -1.5, b = (2π/365), d = 3.47
S(t) = -1.5 sin (2πt/365) + 3.47
Hope this Helps!!!
