Answer:
(7, 46)
Step-by-step explanation:
The offered answer choices have x-values of 7, 9, 10. The corresponding upper limit of y-value is ...
x=7 : y < 8·7 -3 = 53 . . . . . 46 is in the solution set, 60 is not
x=9 : y < 8·9 -3 = 69 . . . . 82 is not in the solution set
x=10 : y < 8·10 -3 = 77 . . . . 89 is not in the solution set
Of the choices offered, only (7, 46) is in the solution set.
Answer:
Yea
Step-by-step explanation:
Answer:
The z-score corresponding to an observed value of x of 2 is 0.215.
Step-by-step explanation:
We are given that a variable x has the possible observations shown below;
Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.
Firstly, we will find the mean and the standard deviation of X, i.e;
Mean of X, (
) = 
= 
= 
= 1.44
Standard deviation of X, (
) = 
= 
= 2.603
Now, the z-score corresponding to an observed value of x of 2 is given by;
z-score = 
= 
= <u>0.215.</u>
Answer:
There are 101 marbles in each bag and 10 marbles left over
Step-by-step explanation:
We can use the modulus to find out left over. The modulus is the remainder of the division from one number by another number. For example, 7 % 2 = 1. When you divide 7 by 2, division is 3 but the remainder is 1.
1525 % 15 = 10 marbles are left over
Now, we know that 1525 - 10 = 1515 marbles are equally put into each bag. That means each bag contains
1515 / 15 = 101 marbles
