Answer:
D) {112, 6, 24, 20, 44, 15, 29}
Step-by-step explanation:
Range is the largest number minus the smallest number in the set.
Below I have found the range of each of the following answers. Once you figure out the ranges, the largest one is your answer.
A) 44 - 8 = 34
B) 119 - 16 = 103
C) 31 - 9 = 22
D) 112 - 6 = 106
Answer:
Step-by-step explanation:
2^{60}=8^x
2^{60}=(2^3)^x
2^{60}=2^{3x}
60=3x
x=20
Answer:
t=5.86
We can conclude that the population correlation between their assets and pretax profit is higher than 0 at the significance level provided.
Step-by-step explanation:
n= 20 random sample taken
r=0.81 correlation coeffcient obtained
significance level obtained
1) System of hypothesis
The system of hypothesis given are:
Null hypothesis :
Alternative hypothesis:
2) Calculate the statistic
The statistic in order to test an hypothesis for the correlation coefficient is given by:
This statistic follows a t distribution with n-2 degrees of freedom
If we replace the values given we got:
3) P value
For this case w eneed to calculate first the degrees of freedom
And then analyzing the alternative hypothesis we can calculate the p value on this way:
Since the P-value is smaller than the significance level, we have enough evidence to reject the null hypothesis in favor of the alternative. We conclude "there is sufficient evidence at the significance level to conclude that there is a linear relationship in the population between the two variables analyzed."
Answer:
5400 cubes can be fit into the prism.
Step-by-step explanation:
We are given the dimensions of prism as:
5 units by 5 units by 8 units i.e. 5 units×5 units×8 units.
Hence, the volume of the prism is given by:
Volume of prism=5×5×8=200 cubic units
Also the edge length of cube is given by= 1/3 unit.
Hence volume of 1 cube=
Hence volume of 1 cube= (1/27) cubic units.
Let 'n' cubes can be fitted into the prism.
Hence we have the relation as:
Volume of prism=n×Volume of 1 cube.
200=n×(1/27)
n=200×27
n=5400
Hence 5400 cubes can be fitted into the prism.