According to the line of best fit, at what time will the temperature reach 100c, the boiling point of water?
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Answer:
Step-by-step explanation:
Given that a loan company knows that 5% of its loans will be delinquent.
since each loan is independent of the other p , probability for any random loan to be delinquent is constant 0.05
X no of delinquent loan accounts is binomial with n =400 and p = 0.05
Since n is very large and also np = 20 and nq >5 we can approximate to normal
Mean = np = 20 : Variance = npq = 19
Std dev = 4.36
X is N(1, 4.36)
With continuity correcton we calculate the prob
a) that exactly 25 accounts will be delinquent?
=
b) that fewer than 30 accounts will be delinquent?
=P(X<29.5)
= 0.9854
c) more than 24 accounts will be delinquent
=P(X>24,5)
=0.1509
The Pythagorean theorum states that when and
are sides and
is the hypotenuse,
So, let's plug in the values.
Simplify. The square of a square root is the number inside the square root.
Subtract 9 from both sides.
Get the square root of both sides.
A pattern that increases or decreases at a constant rate is a linear function
- Question 1 represents a linear function
- Question 2 and 3 represent a nonlinear function
<u>Question 1</u>
From the table, we see that:
- As x increases by 25,
- The value of y decreases by 1
The rate of increment/decrement is constant for both variables.
Hence, question 1 represents a linear function
<u>Question 2</u>
From the table, we see that:
- As x increases by 2,
- The value of y increases at different rates
The rate of increment is not constant for variable y.
Hence, question 2 represents a nonlinear function
<u>Question 2</u>
From the table, we see that:
- As the steps (i.e. x) increases by 1,
- The number of blocks (i.e. the value of y) increases at different rates
The rate of increment is not constant for variable y.
The complete table is:
Hence, question 3 represents a nonlinear function
Read more about patterns and rates at: