Answer:
x = 20
Step-by-step explanation:
Traingle ABC = Traingle DEC
4x-1×4×5 = x+2×4×5
80x-1 = 2×20x
80x-20x = 2+1
60x = 3
60÷3 = x
x = 20
3/5 I think is the right number because there’s 60 boys and only 36 of them have a pet.
Answer:
Mariana has better performance.
Step-by-step explanation:
We are given that in a training session, Mariana made 12 of the 15 shots on goal that she kicked and Carla had an effectiveness of 75%.
And we have to find which girl's performance is better.
Since it is stated that Carla had an effectiveness of 75%.
Similarly, we will find the effectiveness of Mariana;
Total shots available to Mariana = 15 shots
Number of shots on goal = 12
So, her effectiveness = 
=
= 80%
This shows that Mariana has a better performance as compared to Carla as 80% > 75%.
Answer:
The upper limit for the 95% confidence interval for the population proportion of defective gaming systems is 0.022
Step-by-step explanation:
Upper Limit for 95% Confidence Interval can be calculated using p+ME where
- p is the sample proportion of defective gaming systems (
)
- ME is the margin of error from the mean
and margin of error (ME) around the mean can be found using the formula
ME=
where
- z is the statistic of 95% confidence level (1.96)
- p is the sample proportion (

- N is the sample size (1200)
Using the numbers we get:
ME=
≈ 0.007
Then upper limit for the population proportion is 0.015+0.007 =0.022