First you solve the inequality. Add the variables that can be added together. That would be -3 + 1=2. Now the equation is 2 + x<6. After you change the 2 into a negative and put it under the 6 and subtract. that is 3. 3 is the number you put on the number line. When you fine and plot three you make a dot above it. You fill in the dot since the less then sign has a line beneath it. Then you draw a line from the dot to the end of the number line from the direction the sign is facing. It’s a less then sign, so you would draw the line to the left.
Answer: 95% confidence interval = 20,000 ± 2.12

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )
Step-by-step explanation:
Given :
Sample size(n) = 17
Sample mean = 20000
Sample standard deviation = 1,500
5% confidence
∴
= 0.025
Degree of freedom (
) = n-1 = 16
∵ Critical value at ( 0.025 , 16 ) = 2.12
∴ 95% confidence interval = mean ± 


Critical value at 95% confidence interval = 20,000 ± 2.12

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )
Answer:
Step-by-step explanation:
First,You have to realize that if you multiply the amount of food by something, you multiply the amount of calories. if some piece of food is 100 calories what happens if you eat 2? you get 2 times that number of calories. Same fi you eat half of one of that kind of food. You get half the amount of calories.
Here he makes 1 1/2 (one and a half) times the amount. Now, if this is confusing you just need to realize that multiplying by this is the same as multiplying by 1+1/2. Say, again, a piece of food is 100 calories. Multiplying it by this would look like the following.
100(1+1/2)
100*1 + 100*1/2
100+50
150
So if you ever have a mixed number like this you could split it up into an addition problem and then distribute hat you're multiplying. Another solution is to multiply by the improper fraction, which here is 3/2, so 100*3/2=150 as well. Let me know if you don't get how to get the improper fraction or how to multiply fractions.
Now, super simple, just multiply the calories by that number.
310(1+1/2) = 310(3/2)
310 + 155 = 930/2
465 = 465
Kinda showed how to multiply by fractions, still if you don't get it let me know.
B. Because you can easily just eat at home and avoid paying to eat