Answer:
81.8%
Step-by-step explanation:
Mean = ![\mu = 40](https://tex.z-dn.net/?f=%5Cmu%20%3D%2040)
Standard deviation = ![\sigma = 5](https://tex.z-dn.net/?f=%5Csigma%20%3D%205)
Now we are supposed to find out what percent of the numbers fall between 35 and 50
![z = \frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Substitute the values
![z = \frac{x-40}{5}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7Bx-40%7D%7B5%7D)
Now for P(35<x<50)
Substitute x = 35
![z = \frac{35-40}{5}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B35-40%7D%7B5%7D)
![z =-1](https://tex.z-dn.net/?f=z%20%3D-1)
Substitute x = 50
![z = \frac{50-40}{5}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B50-40%7D%7B5%7D)
![z =2](https://tex.z-dn.net/?f=z%20%3D2)
So, P(-1<z<2)
P(z<2)-P(z<-1)
=0.9772-0.1587
=0.8185
= ![0.818 \times 100](https://tex.z-dn.net/?f=0.818%20%5Ctimes%20100)
=81.8%
Hence 81.8% percent of the numbers fall between 35 and 50
42-x=58
or, -x=58-42
with change in side sign also chamges we change sides to make like terms in one side and unlike in amother side.
or, -x= 16
or,x=-16.
therefore x=-16...
<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em>
B=90
I think this is the answer
Answer: The new boxes are 14 ft3 larger.
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of each box and compare them.
Volume of a rectangular prism = base x height x length
Replacing with the values given:
Old boxes volume: 4 x 2 x 2 =16 cubic feet
New boxes' volume: 3 x 5 x 2 = 30 cubic feet
Subtraction the old boxes volume to the new boxes volume:
30 ft3- 16 ft3 = 14 ft3
The new boxes are 14 ft3 larger.
0.032x+0.041 (1500-x)=54.3
Solve for x
0.032x+61.5-0.041x=54.3
0.032x-0.041x=54.3-61.5
-0.009x=-7.2
X=7.2/0.009
X=800 invested at 3.2%
1500-800=700 invested at 4.1%