Answer:
B) f^-1(x)=3-5x
Step-by-step explanation:
y=3-x/5
rearrange the equation so you have x variable on the left side
5y=3-x
+x +x
5y+x=3
-5y -5y
x=3-5y
so answer is b)
f^-1(x)=3-5x
Using the normal distribution, it is found that a weight of 3125 grams would given a newborn a z-score of −0.75.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
Researching the problem on the internet, it is found that the mean and the standard deviation for the weight of newborns is given as follows:
![\mu = 3500, \sigma = 500](https://tex.z-dn.net/?f=%5Cmu%20%3D%203500%2C%20%5Csigma%20%3D%20500)
Hence, the weight associated with Z = -0.75 is given by X:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-0.75 = \frac{X - 3500}{500}](https://tex.z-dn.net/?f=-0.75%20%3D%20%5Cfrac%7BX%20-%203500%7D%7B500%7D)
X - 3500 = -0.75(500)
X = 3125.
More can be learned about the normal distribution at brainly.com/question/24663213
#SPJ4
X+2,000=stocks
x=bonds
7.2%⇒(.072)(x)=bonds invested
6%⇒(.06)(x+2,000)=stocks invested
Here is the equation:
x(.072)=(.06)(x+2,000) | Since the income from both equal
You then solve each side first (assume you know how to but if not, let me know)
You first multily the parentheses/x variables
⇒.072x = .06x+2,000(.06)
⇒.072x = .06x+120
You then minus .06x from each side
⇒.012x = 120
You then divide each side by .012
.012x÷.012=x
120÷.012=10,000
x=10,000
Now change the original x variables with 10,000
.072($10,000)=$720 bond interest
<u>They are equal so $720×2=$1440</u>
Answer:
W=16
Step-by-step explanation:
Because 2*16*2= 64 so it would be 64-64 which is 0
Answer:
2/9
Step-by-step explanation:
To determine the fraction of students that walk to school, take the fraction of students that do not ride the bus and multiply by the fraction that walk
6/15* 5/9
Simplify the fractions
6/15 Divide the top and bottom by 3
2/5
2/5 * 5/9 = 2/9