The sample space for a particular event or number of events is simply anything that illustrates all possible outcomes of those events.
Tables can be used to display the sample space when you have two events happening, in this case, two spinners giving a number.
So, looking at the first white box (top-left corner), the number 1 that is written above it represents getting a number 1 on the spinner numbered 1 to 6 and the number of 1 written to the left of the white box represents getting a number 1 on the spinner numbered 1 to 3.
In the box, you would put 2 plus the extra points since you add the numbers on both spinners, and then add extra points because you got a double.
The numbers in each box, going along the rows (starting from top-left) are:
2 plus extra points;
3;
4;
5;
6;
7;
3;
4 plus extra points;
5;
6;
7;
8;
4;
5;
6 plus extra points;
7;
8;
9.
Notice, all possibilities of what the each of the spinners could land on and in what order are given, this is a sample space.
Answer:
0.13% of students have scored less than 45 points
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
About what percent of students have scored less than 45 points?
This is the pvalue of Z when X = 45. So
has a pvalue of 0.0013
0.13% of students have scored less than 45 points
First solve the volume of the rectangular prism
V = l x w x h
where l is the length
w is the width
h is the height
V = 7 x 4 x 2.5
v = 70 cu cm
then solve the volume of the box
v = e^3
v = 0.5^3
v = 0.125
number of cubes = 70 / 0.125
number of cubes = 560 cubes
Answer:
y interstellar 7 m=-2 equation -2x+7
