Answer: 0.819
Step-by-step explanation:
Given: X is a normally distributed random variable with mean 95 and standard deviation 3.
Then, the probability that X is between 89 and 98 will be:
![P(89](https://tex.z-dn.net/?f=P%2889%3CX%3C95%29%3DP%28%5Cdfrac%7B89-95%7D%7B3%7D%3C%5Cdfrac%7BX-mean%7D%7Bstandard%5C%20deviation%7D%3C%5Cdfrac%7B98-95%7D%7B3%7D%29%5C%5C%5C%5C%3DP%28-2%3CZ%3C1%29%5C%20%5C%20%5C%20%5BZ%3D%5Cdfrac%7BX-mean%7D%7Bstandard%5C%20deviation%7D%5D%5C%5C%5C%5C%20%3DP%28Z%3C1%29-%281-P%28Z%3C2%29%29%5C%5C%5C%5C%3D%200.8413-%20%281-0.9772%29%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20p-value%20table%7D%5D%5C%5C%5C%5C%3D%200.8185%5Capprox0.819)
Hence, the required probability = 0.819
Answer:
n=-6
Step-by-step explanation:
2n + 10 = -2
2n=-12
n=-6
Hope this helps!
If not I'm sorry.
Answer:
3.98
Step-by-step:
$15.00 - 3.93 - 1.12 = 9.95 spent on the grapes
9.95/2.5 pounds = 3.98 per pound
Answer:
Step-by-step explanation:
Domain: the set of all permissible input values. In this particular case, x cannot be -3, because that would cause division by zero. Thus, the domain is (-∞, -3) ∪ (-3,∞)
Range: the range consists of the set of all values of y that are possible. Looking at the parent function, y = 1/x, we see that the range of that function is (-∞, 0) ∪ (0,∞); in other words, y gets close to but never actually reaches zero. This is also true of y = -1 / (x + 3).
Thus, the desired range is (-∞, 0) ∪ (0,∞).
If you start with the tens it will mess up the problem