How many words can be formed from the letters of the word 'ENGLISH' ? How many these do not begin with E? How many of these begi
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<u>Answer</u>
Graph D represents the national debt of the country over the next years.
<u>Solution-</u>
The country's debt will decrease exponentially by one-third each year.
Current debt is $60 billion.
This problem can be treated as an exponential decay problem.
The general exponential decay function is,
Where,
a = initial value,
r = rate of change,
-ve sign of x represents the decrease in value of y as x increases.
Here, the rate of change is 3 as each year the debt becomes on third, and initial value of debt is $60, so
Plotting a graph taking number of year on x-axis and debt on y-axis, we can generate a graph for this function.
Putting different values of x, we can get the values of y. So the graph must have (0, 60), (1, 20), (2, 6.66), (3, 2.22), (4, 0.74), (5, 0.24) points on it.
Option B and C are incorrect, as they do not start from 60. (they don't have (0,60) on their curve)
Between option A and D, curve in D has all the points on it. So D is the correct graph.
Answer:
a
The null hypothesis is
The alternative hypothesis is
b
The sample proportion is
Step-by-step explanation:
From the question we are told that
The sample size is n = 546
The number of people that use a laptop overnight is
The population proportion is
Generally
The null hypothesis is
The alternative hypothesis is
Gnerally the sample proportion is mathematically represented as
=>
=>