Answer:
<em>The expression for final cost of the DVD is 
</em>
Step-by-step explanation:
Jessica purchased a DVD that was on sale for 12% off.
If the original price of the DVD is 
, then the amount of discount on sale will be: 
So, the selling price of the DVD 
The sales tax in her county is 3%. So, the amount of sales tax on the selling price will be: 
Thus, the expression for final cost of the DVD is: 
Answer:
x = 12
Step-by-step explanation:
- Write in a different way: 2(2x + 8) = 64
- Apply the distributed property, so it now looks like this: 4x + 16 = 64
- Subtract 16 from each side, so it now looks like this: 4x = 48
- Divide each side by 4 to cancel out the 4 next to x. It should now look like this: x = 12
I hope this helps!
Answer:9
Step-by-step explanation: x+4=13
x=13-4
x=9
The correct interpretation of the p-value is given by:
B If the average battery life really is 5 hours, then a sample of 10 observations having a sample mean of 4.25 hours or lower would only occur about 3.8% of the line.
<h3>How to find the p-value of a test?</h3>
It depends on the test statistic z, as follows:
- For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.
- For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.
- For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z, which means that the p-value for a two-tailed test is twice the p-value of a one-tailed test.
In this problem, a left-tailed test is used, as we are testing if the mean is less than 5 hours.
The sample mean from the 10 times was of 4.25, and the p-value is of 0.038, which means that the area to the left of Z under the normal curve is of 0.038, that is, a sample mean of 4.25 hours or lower would only occur about 3.8% of the line, hence option B is correct.
You can learn more about p-values at brainly.com/question/13873630
Answer:
Probability of at least two cuckoo eggs is 0.738.
Step-by-step explanation:
probability of cuckoo egg = 0.1
probability of not a cuckoo egg = 1 - 0.1 = 0.9
Probability of at least two cuckoo eggs is
= Probability of two cuckoo eggs x probability of 1 not cuckoo egg +
probability of three cuckoo eggs
= 0.1 x 0.1 x 0.9 + 0.9 x 0.9 x 0.9
= 0.009 + 0.729
= 0.738
