When you owe money, you have a negative balance. You owe $200 to your bank. You pay $30 back. What is your new bank balance?
2 answers:
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Amount he owed to his bank = $200
So, Now , Bank balance would be = (-) $200
Again,
Amount he paid back = $30
So, it will denoted with (+) sign as it is deposited into the bank.
So, Bank balance would be
Hence, First option is correct.
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Given:
The two functions are:
To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If , the function f(x) is horizontally stretched by factor
.
If , the function f(x) is horizontally compressed by factor
.
We have,
Using these functions, we get
...(ii)
On comparing (i) and (ii), we get
Since , the function f(x) is horizontally stretched by factor
.
Hence, the correct option is D.
Answer:
a) 81.5%
b) 95%
c) 75%
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 266 days
Standard Deviation, σ = 15 days
We are given that the distribution of length of human pregnancies is a bell shaped distribution that is a normal distribution.
Formula:
a) P(between 236 and 281 days)
b) a) P(last between 236 and 296)
c) If the data is not normally distributed.
Then, according to Chebyshev's theorem, at least data lies within k standard deviation of mean.
For k = 2
Atleast 75% of data lies within two standard deviation for a non normal data.
Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.