Answer:
Step-by-step explanation:
given that certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours.
Sample size n =16
Std error of sample mean = 
x bar follows N(800, 15)
the probability that a random sample of 16 tubes taken from the group will have a mean lifetime
(a) between 790 and 810 hours,
=
(b) less than 785 hours

, (c) more than 820 hours,

(d) between 770 and 830 hours
=
Answer:
Step-by-step explanation:
2 calculate rise over run
R = 2p + 5
r + p < 35
2p + 5 + p < 35
3p + 5 < 35
3p < 35 - 5
3p < 30
p < 30/3
p < 10.....Pat has to be less then 10
minimum age : 7
maximum age : 9
Answer:
x = 6
y = 45 degrees
Step-by-step explanation:
Here, we want to get the measure of x and y
For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees
This mean y is 45
To get x, we know we have an isosceles triangle
So the length of the third ungiven leg is x too
Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides
(6 √2)^2 = x^2 + x^2
72 = 2x^2
x^2 = 72/2
x^2 = 36
x = √36
x = 6