Answer:
Step-by-step explanation:
4/3 = t/7
Multiply by 7 on both sides
4/3 x 7 = t
28/3 = t
This is material out of the lesson of basic mathematics of compound probability.
To solve this problem, we first must count the number of outcomes (n) for this experiment. There are 2 rows of 4, so there are 8 outcomes. Now we must find what exactly the answer is looking for.
The answer is looking for the answer to the compound probability statement; P( A then B then A). If you look at the table of outcomes (results), there is one result that matches ABA. So, find the number of specific outcomes from the set of events and divide it by the total number of outcomes.
Solution:
1/8= 0.125
Answer:
69.1% of the woman spend less than $160
Step-by-step explanation:
Assuming that the random variable X= spend on beauty products by women during summer months distributes normally , then using the standarized variable Z:
Z= (X - mean / st. dev) = (160.00-146 )/28 = 0.5
then using normal probability tables for Z:
P(X<160)=P(Z<0.5) = 0.691 (69.1%)
thus 69.1% of the woman spend less than $160
You can identify that "5 over 100" can be written as a fraction. 5 will be the numerator and 100 will be the denominator:
![\frac{5}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B100%7D)
To reduce this fraction, you need to divide the numerator and the denominator by the Greatest Common Factor (GCF) between them.
In this case, to find the GCF, you need to:
- Decompose the number into their Prime Factors:
![\begin{gathered} 5=5 \\ 100=2\cdot2\cdot5\cdot5=2^2\cdot5^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%205%3D5%20%5C%5C%20100%3D2%5Ccdot2%5Ccdot5%5Ccdot5%3D2%5E2%5Ccdot5%5E2%20%5Cend%7Bgathered%7D)
- Notice that 5 is a common factor. Then, you need to choose the one with the lowest exponent:
![GCF=5](https://tex.z-dn.net/?f=GCF%3D5)
Therefore, by dividing the numerator and the denominator by 5, you get:
![=\frac{1}{20}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B20%7D)
Hence, the answer is: