Answer:
The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.
Step-by-step explanation:
Let's define the random variable, 
"Comprehensive strength of concrete". We have information that 
is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, 
.
We want to know the probability of the mean of X or 
that falls in the interval ![[2499;2510]](https://tex.z-dn.net/?f=%5B2499%3B2510%5D)
. From inference theory we know that :
Now we can find the probability as follows:
Where 
, then:
Jb, this is the solution:
If T = (x + 3, y + 1),
T3 = 3(x + 3, y + 1)
T3 = 3x + 9, 3y + 3
The correct answer is C.
1. C -9
2. B 7.5
3. A -4
4. C 65
We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575
</span> For the domain we have:
<span> </span>We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]
For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]
Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]
Answer:
$184
Step-by-step explanation:
87 is 5 less than 1/2 of the price without a sale. in that case 92 would be half the cost. To find the full value you would multiply 92 by two to get 184
