Answer:
The answer is 0.123.
Step-by-step explanation:
You want to find the intersection between P(Spade) and P(Red). Knowing that there's no replacement, the probability will be given by the formula:
⇒ P(Spade∩Red) = P(Spade)*P(Red/Spade)
⇒ P(Spade∩Red) = P(Red)*P(Spade/Red)
Either formula works, but I'm going to choose to work with the first formula.
Therefore:
P(Spade) = 
P(Red/Spade) = 
So:
P(Spade∩Red) = *
= 
= 
The first step to solving this expression is to reduce the numbers with 9.
-7 × 16
Now we need to multiply the two numbers together using the Rules of Signs for Multiplication. They state that multiplying a negative and a positive equals a negative: (-) × (+) - (-). Keeping this in mind,, when you multiply the two numbers together you should get -112.
Let me know if you have any further questions
:)
Answer:
c. 9.5 lb < mu < 11.1 lb.
Step-by-step explanation:
Confidence interval can be stated as M±ME where
- M is the sample mean (10.3)
- ME is the margin of error
margin of error (ME) around the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic in 95% confidence level (1.96)
- s is the standard deviation of the sample (2.4)
- N is the sample size (37)
Putting thesenumbers in the formula we get:
ME=
≈ 0.7733 ≈ 0.8
Then the 95% confidence interval would be 10.3 ± 0.8
First you need to change the equation to 3 < x/2 + 1
then we can treat it like a normal equation.
subtract 1 from each side to get 2 < x/2
then multiply both sides by 2 to get rid of the fraction and we have
4 < x and we switch it around to get
x > 4 as our answer! :)
Answer:
log_5(u^6)
Step-by-step explanation:
According to log rules, log_a(b^n) = nlog_a(b), reversing this we get that log_5(u^6) is what you are looking for.
