Answer: n = 14
Step-by-step explanation: margin of error = critical value × σ/√n
Where σ = population standard deviation = 1
n = sample size = ?
We are to construct a 99% confidence interval, hence the level of significance is 1%.
The critical value for 2 tailed test at 1% level of significance is gotten from a standard normal distribution table which is 2.58
Margin of error = 0.7
0.7 = 2.58×1/√n
0.7 = 2.58/√n
By cross multipying
0.7×√n = 2.58
By squaring both sides
0.7^2 × n = 2.58^2
0.49 × n = 6.6564
n = 6.6564/0.49
n = 14
The answer is 34.3 minutes
EXPLANATION
To round off to the nearest tenths, you need to find first the tenths value. In this case, it's 2.
Next, look to the number on the right side or the hundredths value. Since 8 is greater than 5, you have to round the tenths value up.
From 2, you'll now have 3. Zero out the values on the right of the tenths value.
So basically, you'll have now 34.3 minutes
Answer:
B
Step-by-step explanation:
One input must have one output.
If x were to be 3, then there would be two inputs for 3, and there should only be one.
Therefore, the answer is B.
The probability of 2 heads:
105:500
This can be simplified further. If you divide them both by 5, you get:
21:100
That is the answer, as it cannot be simplified any further.
The probability of one head:
275:500
This can be simplified further. If you divide them both by 25, you get:
11:20
That is the answer, as it cannot be simplified any further.
The probability of no heads:
120:500
This can be simplified further. If you divide them both by 20 you get:
6:25
That is the answer, as it cannot be simplified any further.
So:
a) 21:100
b) 11:20
c) 6:25
Answer:
x=-3
Step-by-step explanation:
The axis of symmetry is at the maximum (or minimum) . It would be at x=-3
