The answer is (-1,0)
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Answer:
2.28 %
Step-by-step explanation:
It is stated that battery life distribution is normal. First we need to find out where 65 hour battery life in this distribution falls by finding its z-score. We can use the following formula
z(x)= where
- X the point we are looking to find its z-score, which is 65
- M is the mean of the sample, which is 75
- s is the standard deviation of the sample, which is 5
Replacing these numbers in the formula, z-score of the 65 hour battery life :
z(x)==-2
All the batteries fail within the first 65 months if their z-score is smaller than -2. Or we can state this also as: P(z≤-2) which is 0.0228
Thus 2.28 % of the batteries will fail within the first 65 months of use.
The line passes through (4,0)
And has a slope of 0.5
Taking another point (x,y) along the line;
Slope = change in y-axis ÷ change in x-axis
0.5 = (y - 0) / (x - 4)
y = 0.5x - 2
Answer:
Number of tickets for the Spartans = 24000
Number of tickets for the visiting team’s fans = 6000
Step-by-step explanation:
Let the no. of tickets for the visiting team’s fans be x.
so,according to the question
no. of tickets for the Spartans = 4x
total seating capacity of Spartan Stadium = 30000
now, we see that,
4x+x = 30000
5x = 30000
x = 30000/5
x = 6000
Number of tickets for the visiting team’s fans = x = 600
Number of tickets for the Spartans = 4x = 4(6000) = 24000
Answer:
<u>Step-by-step explanation:</u>
There is 1 possibility of getting a sum of 2 → (1 + 1)
There are 2 possibilities of rolling a 3 → (1 + 2 and 2 + 1)
There is 1 possibility of rolling a 12 → ( 6 + 6)
There are 36 total number of possible outcomes.
Consider that success for this problem is rolling a 2, 3, or 12: