Answer:
Step-by-step explanation:
Confidence interval is one which has centre as mean. The width of the interval would be 2 times margin of error.
Margin of error = Critical value * Std error/sq rt of sample
Hence if margin of error is lower for same n, then it means lower confidence level. Option a is right
Similarly, if bigger the sample size, lower is margin of error . Hence option b is right
c) False. Smaller samples make margin of error big and hence confidence intervals bigger.
d) If n becomes 9n, then margin of error becomes 1/3 Hence option d is right.
Answer:
1 ounce
Step-by-step explanation:
You gotta get 1/4 to match 5/8 and that would get you 2/8. Add that together gets you 7/8 and 1 ounce remaining.
brainliest?
2x - 3y = 18
First, you want to isolate y.
You do this by firstly subtracting 2x from both sides.
-3y = 18 - 2x
Then you divide both sides by -3.
y = (18 - 2x)/3
You now have your function. With this you can plug in x variables to find points. I’m going to use the variables: 0, 8, -2, and 1
If x = 0 : (18 - 2 * 0)/3 = (18 - 0)/3 = 18/3 = 6
First point: (0, 6)
If x = 8 : (18 - 2 * 8)/3 = (18 - 16)/3 = 3/3 = 1
Second point: (8, 1)
If x = -2 : (18 - 2 * -2)/3 = (18 + 4)/3 = 22/3
Third point: ( -2, 22/3)
Note: to make that easier to plot, change the fraction into a mixed number- so it would be 7 and 1/3
If x = 1 : (18 - 2 * 1)/3 = (18 - 2)/3 = 16/3
Fourth point: (1, 16/3)
Note: the mixed number would be 5 and 1/3
You can choose whatever x variables you want. I just choose some that would result in a whole number or a number that wouldn’t be too large - which can make it difficult to plot sometimes. For the future, some good go-to x variables are just -1, 0, 1, and 2. Just cause they’re easy numbers.
D, 1/12 pound. A way to think of this is that if there is 1/12 in 6 different bags, you get 6/12, which is equivalent to 1/2
Answer:
15 hours.
Step-by-step explanation:
Suppose the time taken to catch Mike is t hours and the distance ran by Mike is x miles then
5.5 = x/ t (Mike) --- ...(1)
6 = (x +7.5 )/ t (Julia ).......(2)
From equation (1):
x = 5.5t ..............(3).
From equation (2):
x + 7.5 = 6t
x = 6t - 7.5............(4).
Eliminating x from equations 3 and 4:
6t - 7.5 = 5.5t
0.5t = 7.5
t = 15 hours.