Answer: The number is 1.
Step-by-step explanation:
create the formula from the problem
4x -7 = 1
move the seven to the other side by adding seven to both sides
4x (+7) -7 = 1 (+7)
4x = 8
then to get the x by itself, divide both sides by 4
4x/4 = 8/4
x = 2
You can check your work by plugging the x back into the original problem
4 (2) -7 = 1
8 -7 = 1
1 = 1 (this means it is correct)
Using the interpretation of the confidence interval, the correct option is:
We are 95% confident that those who studied had a higher passing rate than those who did not study.
<h3>What is the interpretation of a x% confidence interval?</h3>
It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
The confidence interval of the difference is:
(0.005, 0.125).
Since the entire interval is positive, the correct option is:
We are 95% confident that those who studied had a higher passing rate than those who did not study.
More can be learned about confidence intervals at brainly.com/question/25890103
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The line of symmetry is x = 8, and it means that it takes 8 seconds to reach the maximum height and 8 more seconds to reach the ground.
What, I don’t think you added the rest of it
Answer:
or 
Step-by-step explanation:
Given



Required
Determine the probability of selecting Black and Red
First, we need to calculate the number of red and black balls
The probability is calculated as thus:

Convert to mathematical expressions
![Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]](https://tex.z-dn.net/?f=Probability%20%3D%20%5BP%28Black%29%20%2AP%28Red%29%5D%20%2B%20%5BP%28Red%29%20%2AP%28Black%29%5D)
Solve for each probaility;


So, we have:
![Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]](https://tex.z-dn.net/?f=Probability%20%3D%20%5BP%28Black%29%20%2AP%28Red%29%5D%20%2B%20%5BP%28Red%29%20%2AP%28Black%29%5D)
![Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]](https://tex.z-dn.net/?f=Probability%20%3D%20%5B%5Cfrac%7B25%7D%7B100%7D%20%2A%5Cfrac%7B40%7D%7B100%7D%5D%20%2B%20%5B%5Cfrac%7B40%7D%7B100%7D%20%2A%5Cfrac%7B25%7D%7B100%7D%5D)
![Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]](https://tex.z-dn.net/?f=Probability%20%3D%20%5B%5Cfrac%7B1000%7D%7B10000%7D%5D%20%2B%20%5B%5Cfrac%7B1000%7D%7B10000%7D%5D)
![Probability = [\frac{1}{10}] + [\frac{1}{10}]](https://tex.z-dn.net/?f=Probability%20%3D%20%5B%5Cfrac%7B1%7D%7B10%7D%5D%20%2B%20%5B%5Cfrac%7B1%7D%7B10%7D%5D)



or
