A repeating decimal is a decimal that has a digit, or a group of digits, that repeat forever. A terminating decimal, on the other hand, is a decimal that ends. To find which decimals are repeating and which ones are terminal, we are going to simplify our fractions, and express them in decimal form:
![\frac{25}{60} = \frac{5}{12} =0.4166666666...](https://tex.z-dn.net/?f=%20%5Cfrac%7B25%7D%7B60%7D%20%3D%20%5Cfrac%7B5%7D%7B12%7D%20%3D0.4166666666...)
6 is repeating forever, so this is a repeating decimal.
![\frac{17}{60} =0.283333333....](https://tex.z-dn.net/?f=%20%5Cfrac%7B17%7D%7B60%7D%20%3D0.283333333....)
3 is repeating forever, so this is a repeating decimal.
![\frac{31}{44} =07045454545....](https://tex.z-dn.net/?f=%20%5Cfrac%7B31%7D%7B44%7D%20%3D07045454545....)
45 is repeating forever, so this is a repeating decimal.
![\frac{54}{72} = \frac{3}{4} =0.75](https://tex.z-dn.net/?f=%20%5Cfrac%7B54%7D%7B72%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%3D0.75)
No digit is repeating forever, so this is a terminating decimal.
We can conclude that:
Repeating decimals:
![\frac{25}{60}](https://tex.z-dn.net/?f=%20%5Cfrac%7B25%7D%7B60%7D%20)
,
![\frac{17}{60}](https://tex.z-dn.net/?f=%20%5Cfrac%7B17%7D%7B60%7D%20)
, and
Terminating decimals:
White roses - 5 30 40 50
Pink roses - 7 42 56 70
To solve, take the pink rose amount, divide by 7 to get the times given pink roses. Multiple it by 5 to get the amount of white roses.
For the last one, divide by 5 to get the amount of times given white roses. That’s ten times. Multiple it by 7, as that’s 10 times you get 7 pink roses, answer is 70.
Answer:
0.13591 = 13.59%.
Step-by-step explanation:
We have been given that weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50.
First of all let us find the z-score for our given sample score using z-score formula.
, where,
,
,
,
.
![z=\frac{450-400}{50}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B450-400%7D%7B50%7D)
![z=\frac{50}{50}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B50%7D%7B50%7D)
![z=1](https://tex.z-dn.net/?f=z%3D1)
Let us find z-score for sample score 500.
![z=\frac{500-400}{50}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B500-400%7D%7B50%7D)
![z=\frac{100}{50}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B100%7D%7B50%7D)
![z=2](https://tex.z-dn.net/?f=z%3D2)
Let us find the probability of both z-score using normal distribution table.
![P(z](https://tex.z-dn.net/?f=P%28z%3C1%29%3D0.84134%20)
![P(z](https://tex.z-dn.net/?f=P%28z%3C2%29%3D0.97725)
Since we know that probability between two z-scores can be found by subtracting the smaller area from the larger area as:
![P(1](https://tex.z-dn.net/?f=P%281%3Cz%3C2%29%3DP%28z%3C2%29-P%28z%3C1%29)
Upon substituting our values we will get,
![P(1](https://tex.z-dn.net/?f=P%281%3Cz%3C2%29%3D0.97725-0.84134)
![P(1](https://tex.z-dn.net/?f=P%281%3Cz%3C2%29%3D0.13591)
Therefore, the probability that a worker selected at random makes between $450 and $500 is 0.13591 or 13.59%.
Answer:
um
Step-by-step explanation:
I guess 1 and a half?? i dont quite understand
Answer:
22
Step-by-step explanation:
We can use the order of operations (PEMDAS), to solve this equation.
We must first multiply and divide, and order. This means we divide 12 by 3 and get 4, then multiply that by 2 and get 8. (30-12÷3×2,30-4×2,30-8). Now we just subtract 8 from 30 and get 22 as our answer.