Answer:
The lower bound is, 
and the upper bound is 
.
Step-by-step explanation:
Let the random variable <em>X</em> follows a normal distribution with mean <em>μ </em>and standard deviation <em>σ</em>.
The the random variable <em>Z, </em>defined as 
is standardized random variable also known as a standard normal random variable. The random variable 
.
The standard normal random variable has a symmetric distribution.
It is provided that 
.
Determine the upper and lower bound as follows:
![P(-z\leq Z\leq z)=0.51\\P(Z\leq z)-P(Z\leq -z)=0.51\\P(Z\leq z)-[1-P(Z\leq z)]=0.51\\2P(Z\leq z)-1=0.51\\2P(Z\leq z)=1.51\\P(Z\leq z)=0.755](https://tex.z-dn.net/?f=P%28-z%5Cleq%20Z%5Cleq%20z%29%3D0.51%5C%5CP%28Z%5Cleq%20z%29-P%28Z%5Cleq%20-z%29%3D0.51%5C%5CP%28Z%5Cleq%20z%29-%5B1-P%28Z%5Cleq%20z%29%5D%3D0.51%5C%5C2P%28Z%5Cleq%20z%29-1%3D0.51%5C%5C2P%28Z%5Cleq%20z%29%3D1.51%5C%5CP%28Z%5Cleq%20z%29%3D0.755)
Use a standard normal table to determine the value of <em>z.</em>
The value of <em>z</em> such that P (Z ≤ z) = 0.755 is 0.69.
The lower bound is, and the upper bound is .
the length of the shorter side is:L = 13.125cm
<h3>
how long will the shorter side be?</h3>
In the longer side we have 8 segments.
We know that the side measures 35 cm, then each one of the 8 segments measures:
35cm/8 = 4.375cm
Now, we can see that in the shorter side we have 3 of these segments.
Then the length of the shorter side is:
L = 3*(4.375cm) = 13.125cm
If you want to learn more about lengths:
brainly.com/question/2217700
#SPJ1
Answer:
B. 0.32
Step-by-step explanation:
Fractions are basically division, so do 8 divided by 25 and you will get 0.32.
Answer:
$14.24
Step-by-step explanation:
9.89+1.99=$11.88
11.88*1.07=12.71
12.71*1.12=$14.24
Hope this helps!
Answer:
It's the first answer choice
Step-by-step explanation:
l = prt
Use algebra to solve for p:
divide each side by rt to get p by itself.
