Simplify the expression 4 (9x)
2 answers:
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An exponential equation is represented as: , where b represents rate
- Exponential growth:
,
and
- Exponential decay:
- Neither:
An exponential equation is said to represent growth, if the rate is greater than 1, while it represents decay if the rate is less than 1.
This means that:
,
and
represent exponential growth because 5, 4.2 and 1.3 are greater than 1
Also,
represents exponential decay because 0.28 is less than 1
While
is not an exponential function
Read more about exponential functions at:
Answer:
B) TS = -6.51, p-value = 0.0000
Step-by-step explanation:
Sample size, n = 39
μ = 7.5 cm
Null hypothesis, H₀ = 7.5 cm
(I.e. Average height of youngest child is 7.5 cm)
Alternative hypothesis, (The youngest child's age is underestimated by 7.5 cm)
Standard deviation,
In order to be able to reject the null hypothesis,
the formula for the test statistic:
t = -6.51
P - value
P(x < 7.5) = P(z < -6.51)
Checking the p-value for z < -6.51 in the normal distribution table
P(z < -6.51) = 0.0000
p - value = 0.0000