The exponential function that approximates the amount of money in her account using a weekly growth rate is:
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What is an exponential function?
An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal
In this problem, the yearly function is:
Considering that a year has 52 weeks, we have that:
0.06/52 = 0.001154
Hence:
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
0.2857 is not a rational number.
Step-by-step explanation:
Because rational numbers have to be greater than 1. Decimals are not over 1 so it is not a rational number. Your welcome!
Using the normal distribution, it is found that 0.26% of the items will either weigh less than 87 grams or more than 93 grams.
In a <em>normal distribution</em> with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of 90 grams, hence
.
- The standard deviation is of 1 gram, hence
.
We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:
The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.
- Looking at the z-table, Z = -3 has a p-value of 0.0013.
2 x 0.0013 = 0.0026
0.0026 x 100% = 0.26%
0.26% of the items will either weigh less than 87 grams or more than 93 grams.
For more on the normal distribution, you can check brainly.com/question/24663213
U find multiples of both denominators and then us the least number that matches both as the new denominator then multiply your other two fractions to get the same denominator that u got in your multiples and then multiply whatever number you have with your number you multiply by to get the denominator on both fractions
not very good at explaining things but I really hope this helps
Answer:
Sierra=2songs
Matt=7songs
Yun SIl=14songs
step-by-step explanation:
Step 1
Let,The number of songs YunSil added = x
Number of songs Matt added = y
And number of songs Sierra added = z
Such that Matt has 5more than Sierra =y = 5 +z
Yun SIl has 2 times more thann Matt, x = 2y
x =2(5+z)=10 +2z
Step 2
The expression used to determine number of songs on each player given that the total of songs added on the three players =15 +z^3
Such that
YunSil+Matt+Sierra==15 +z^3
10+2z+ 5+z +z = 15 +z^3
4z +15 = 15 +z^3
4z=15-15+z^3
4z=+z^3
4=z^3/z
4=z^2
Z=√4 =2
Therefore Sierra has z=2songs
Matt has 5+z=5+2=7songs
YunSil has 2(5+z)= 2x7=14songs
