D the last please tell me if I’m right thanks
Hello!
These | | you are seeing means absolute value. Absolute value is the distance a number is from 0. For example, the absolute value of -3, or |-3|, would be 3 as -3 is 3 away from 0.
Therefore, we can look at these two operations. |-12|, and |8|
|-12| would equal 12, as -12 is 12 away from 0. |8| would equal 8, as 8 is 8 away from 0. 12 is greater than 8.
Therefore, your answer is the second choice, |-12|>|8|.
Hope this helps!
Answer:
The amount loaned at 7% was $12500
Step-by-step explanation:
Given:
principal amount = $20000
Initial rate of interest = 7%
Final rate of interest = 15%
Total interest received per year = $2000
To Find:
The amount loaned at the interest of 7%= ?
Solution:
Let x = amount ($) loaned at 7%
then
20000-x = amount ($) loaned at 15%
Now
7% of x + 15 % (20000 - x) = 2000
Converting percentage into decimal by dividing by 100
0.07x + .15(20000-x) = 2000
0.07x + 3000 -0.15x = 2000
3000 -.08x = 2000
0-.08x = - 1000
x =12500
Answer:
a) It can be approximated by the normal distribution
b) Attached
c) P(X>83)=0.1136
Step-by-step explanation:
The requirement to approximate the binomial distribution by a normal distribution is that both the products np and n(1-p) are greater than 10 for the sample size.
In this case, the sample size is n=100 and the probability of success is p=0.78.
We can verify the requirement as:
The requirement is satisfied, so the binomial can be approximated to a normal distribution.
The parameters of the normal distribution will be:
We can calculate the probability that the number of people who receive spam or unwanted messages is at least 83 using the z-score for X=83 and calculate the probability using the standard normal distribution: