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:
The number of boys are 18 and the number of girls are 30.
Step-by-step explanation:
The ratio of number of girls to the boys = 3 : 5
Let the number of girls is g and boys is b initially.
b : g = 3 : 5
5 b = 3 g ..... (1)
Now, girls are 6 + g and boys are b - 9
So, the ratio is
(b - 9) : (6 + g) = 1 : 4
4 b - 36 = 6 + g
4 b - g = 42 .... (2)
From ( 1 ) and ( 2 )

And , g = 5 x 18/3 = 30
So, the number of boys are 18 and the number of girls are 30.
Answer:
x + (5x-9)
Step-by-step explanation:
x stands for the number of coins Nancy has
Kevin has 9 less than 5 times what Nancy has, so his part of the expression is 5x-9
To find the total number of coins they have, you have to add Nancy's number of coins x plus Kevin's number of coins 5x-9
x + (5x-9)
But you have to put parentheses around Kevin's 5x-9 so that part of the expression is calculated first, as per order of operations
Combinations of 7 taken 4 at a time.
C (7,4) = 7! /[ 4!(3!)]
7 x 6 x 5 = 210
210 divided by 3 = 70
70 divided by 2 = 35
Answer: x=0
Step-by-step explanation: f(x)=(x+2)x2-4
0=2x+4-4
0=2x
2x/2=0
0/2=0
x=0