Answer:
See steps
Step-by-step explanation:
Volume of cubes is proportional to the cube of the side length.
Using proportions,
Volume of smaller cube / 1728 = (3/4)^3
Cross multiply,
Volume of smaller cube
= 1728 * (3/4)^3
= 1728 * (27/64)
= 729 cubic metres.
Note: all cubes are similar and each has 6 congruent faces.
Answer:
There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1432
p = 23% = 0.23
Alpha, α = 0.05
Number of theft complaints , x = 321
First, we design the null and the alternate hypothesis
This is a one-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.298
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
Conclusion:
Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.
Answer: 0.5.
Step-by-step explanation:
Answer:
Step-by-step explanation:
126 + 44 = 170 ( total for under 25s)
186 - 56 = 130 (online for 25s - 50s)
154 - 58 = 96 ( in stores for aboves 50s)
314 for ONLINE TOTAL
196 for IN STORES TOTAL
510 for TOTAL TOTAL
A = 170
B = 56
C = 96
D = 96 - 58 = 38
E = 314 - 196 = 118
F = 510