Answer:
Step-by-step explanation:
You need to use synthetic division to do all of these. The thing to remember with these is that when you start off with a certain degree polyomial, what you get on the bottom line after the division is called the depressed polynomial (NOT because it has to math all summer!) because it is a degree lesser than what you started.
a. 3I 1 3 -34 48
I'm going to do this one in its entirety so you get the idea of how to do it, then you'll be able to do it on your own.
First step is to bring down the first number after the bold line, 1.
3I 1 3 -34 48
_____________
1
then multiply it by the 3 and put it up under the 3. Add those together:
3I 1 3 -34 48
3
----------------------------
1 6
Now I'm going to multiply the 6 by the 3 after the bold line and add:
3I 1 3 -34 48
3 18
_________________
1 6 -16
Same process, I'm going to multiply the -16 by the 3 after the bold line and add:
3I 1 3 -34 48
3 18 -48
___________________
1 6 -16 0
That last zero tells me that x-3 is a factor of that polynomial, AND that the depressed polynomial is one degree lesser and those numbers there under that line represent the leading coefficients of the depressed polynomial:

Factoring that depressed polynomial will give you the remaining zeros. Because this was originally a third degree polynomial, there are 3 zeros as solutions. Factoring that depressed polynomial gives you the remaining zeros of x = -8 and x = 2
I am assuming that since you are doing synthetic division that you have already learned the quadratic formula. You could use that or just "regular" factoring would do the trick on all of them.
Do the remaining problems like that one; all of them come out to a 0 as the last "number" under the line.
You got this!
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Or just subtract
9.884 * 10^6 - 1.009 * 10^7=
− 2.05999999 × 10^5
Rounded up is:
− 2.06× 10^5
(❁´◡`❁)
The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes for the bus to get to school is 20 minutes (with a standard deviation of 4 minutes). The distributions are normal.
a. How long will it take (in minutes), on average, to get to school?
b. What is the standard deviation of the trip to school?
c. What is the probability that it will take longer than 30 minutes to get to school?
Due to a miscalculation, you realize it actually takes an average of 10 minutes to walk to the bus stop.
d. How long will it take (in minutes), on average, to get to school?
e. What is the standard deviation of the trip to school?
f. What is the probability that it will take longer than 30 minutes to get to school?
The only ones I need help with is C and F. I have the answer for the rest of them. Can someone please help me with parts C and F??
Answer:
108
Step-by-step explanation:
Basically, all you have to do is count how many 6 's you have and then write 6^4. Which is 6 to the fourth power.