Answer:
a) To determine the minimum sample size we need to use the formula shown in the picture 1.
E is the margin of error, which is the distance from the limits to the middle (the mean) of the confidence interval. This means that we have to divide the range of the interval by 2 to find this distance.
E = 0.5/2 = 0.25
Now we apply the formula
n = (1.645*0.80/0.25)^2 = 27.7 = 28
The minimum sample size would be 28.
b) To answer the question we are going to make a 90% confidence interval. The formula is:
(μ - E, μ + E)
μ is the mean which is 127. The formula for E is shown in the picture.
E = 0.80*1.645/√8 = 0.47
(126.5, 127.5)
This means that the true mean is going to be contained in this interval 90% of the time. This is why it doesn't seem possible that the population mean is exactly 128.
So you basically just add up all of the numbers for the number sentence, so:
1800+2150+675+2300+665+95+250+1150+225+750+530. So the sum of those is the new balance, which is $10590
Answer:
±1, ±11, ±1/5, ±11/5
Step-by-step explanation:
f(x) = 5x³ - 7x + 11
constant term: 11
leading coefficient: 5
factors of the constant term: ±1, ±11
factors of the leading coefficient: ±1, ±5
possible rational roots = factors of the constant term/factors of the leading coefficient = ±1, ±11, ±1/5, ±11/5
Answer:
No, No, Yes, Yes.
Step-by-step explanation: 2 times -3 = -6. -6 times -4 = 24.
So, with that said, the first one multiples out to -24.
The second multiplies out to again -24.
12 times 2 = 24.
A negative and a negative multiply to become a positive, so -4 times -6 = 24.
Answer:
The answer is 5.
Step-by-step explanation:
Use order of operations. Parentheses come first, so I will compute what is in parentheses first. 11-3 is 8. Then, division comes next. I will divide 8 by 2 to get 4. Lastly, add 1 to get 5.
