Answer:
Step-by-step explanation:
Once again, we have a problem with the |x| in it, so like last time, every number that is the outcome within those brackets, is positive.
Let us check:
A. x = 21 over 4 and x = -11 over 4
This one is a very simple to say no to, as we are talking about decimals (if you convert into decimals at this point), as in -16 there are no decimals.
False.
B. x = -1 and x = 9
-1 is correct. But 9 is not. Why? Here:
9 + 5 is 14
14 the multiplied by -4 does not equal -16
False.
C. x = -1 and x = -9
Like what I said before, -1 is correct, now in this answer, -9 is also correct.
Unlike the last one, this one is -9 + 5 which is -4, then since it is inside the positive brackets, the number 4 becomes positive.
4 * -4 = -16
True.
The last one is incorrect. You know why
;)
9514 1404 393
Answer:
17 -4i
Step-by-step explanation:
You do this the same way you would if i were a variable.
8-(-4+5i)-(-5-i) = 8 +4 -5i +5 +i = (8 +4 +5) +(-5i +i) = 17 -4i
Answer:
a.
Probability of Diet Cola = 19/28
Probability of Lemonade = 4/28
Probability of Root Beer = 5/28
b. Theoretical Probability
Step-by-step explanation:
Given
Diet Cola = 19
Lemonade = 4
Root Beer = 5
Required
Probability the her next drink will be
- Diet Cola
- Lemonade
- Root beer
To calculate the probability of each of the above, first we need to calculate the total number of drinks she's had
Total = Diet Cola + Lemonade + Root Beer
Total = 19 + 4 + 5
Total = 28
The probability that her next drink can be any of the above can then be calculated.
This is calculated by dividing each outcome by the total; as follows;
Probability of Diet Cola = 19/28
Probability of Lemonade = 4/28
Probability of Root Beer = 5/28
This type of probability is referred to as theoretical probability because it makes predictions base on previous occurrence of events.
Answer:
A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F
Test statistic(Z) = 2.31
P-value = 0.0104
Step-by-step explanation:
Step 1
Null hypothesis: The average damaging temperature of nine iPods is 5°F
Alternate hypothesis: The average damaging temperature of nine iPods differs from 5°F
Step 2
Mean=5°F, Sd=3, df=n-1=9-1=8
The t-value corresponding to 8 degrees of freedom and 95% confidence level (5% significance level) is 2.306
Confidence Interval(CI) = (mean + or - t×sd/√n)
CI = (5 + 2.306×3/√8) = 5 + 6.918/2.828= 5+2.45=7.45°F
CI = (5 - 2.306×3/√8) = 5-2.45 = 2.55°F
Z = (sample mean - population mean)/(sd÷√n) = (5-2.55)/(3÷√8) = 2.45/1.061 = 2.31
Step 3
Using the standard distribution table, the cumulative area to the left of Z = 2.31 is 0.9896
P-value = 1 - 0.9896 = 0.0104
Step 4
Conclusion: A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F
How could have written 5 and 4. But there are more answers.
