Answer:
64
Step-by-step explanation:
Using the rule of logarithms
x = n , then
x =
, thus
x = 3
x = 4³ = 64
There are total 10 right angles in the given diagram, hence option (b) is correct match.
<em>Refer the attached image for clarification. </em>

I haven’t done this before but I’m sure it’s C. 15/5
5 is equal to 3.
45/27 is also equal to 5/3 (Divided both 45 and 27 by 9)
7.5:4.5 is also equal to 5:3 (Divided both 7.5 and 4.5 by 1.5)
15/5 is not equal because if you simplify it, it would become 3:1 (Divided both 15 and 5 by 5).
Answer:
A. 30.144
Step-by-step explanation:
This is a Chi-Squared test
Given:




- The significance level is 5%, so

To use the Chi-Square distribution table, you need to know two values:
- Degrees of freedom = (n - 1)
- Significance level
Degrees of Freedom = n - 1 = 20 - 1 = 19
The significance level is 5%, so 
This is a one-tailed test since
so Upper tail area = 0.05
Reading from the table (attached), the critical value is: 30.144
(This means that we reject
if the test statistic is greater than 30.144)
Answer:
45.7 s
Step-by-step explanation:
Darya:
Number of laps = 13
Average time per lap = 23.5 seconds
Total time to swim 13 laps = Number of laps × Average time per lap
= 13 × 23.5
= 305.5 seconds
Kana:
Number of laps = 10
Average time per lap = 25.98 seconds
Total time to swim 10 laps = Number of laps × Average time per lap
= 10 × 25.98
= 259.8 seconds
It took longer for Darya to swim
13 laps than for Kana to swim 10 laps.
How much longer?
= 305.5 seconds - 259.8 seconds
= 45.7 seconds