Answer:
Step-by-step explanation:
2/5 + x = 1
Multiply each term by 5
2 + 5x = 5
5x = 5 - 2
5x = 3
x = 3/5
Answer:
0.0656
Step-by-step explanation:
For each message, we have these following probabilities:
90% probability it is spam.
10% probability it is legitimate.
Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:
The first four all spam, each with a 90% probability.
The fifth legitimate, with a 10% probability.
![P = (0.9)^{4} \times 0.1 = 0.0656](https://tex.z-dn.net/?f=P%20%3D%20%280.9%29%5E%7B4%7D%20%5Ctimes%200.1%20%3D%200.0656)
Answer: There are 152 apples.
The explanation is shown below:
- You need to write the following three equations, where
is the the number of apples,
is the number of pears and
is the number of oranges:
1) ![a+p=184](https://tex.z-dn.net/?f=a%2Bp%3D184)
2) ![a+o=248](https://tex.z-dn.net/?f=a%2Bo%3D248)
3) ![o=3p](https://tex.z-dn.net/?f=o%3D3p)
- You must substitute the equation 3) into the equation 2):
![a+3p=248](https://tex.z-dn.net/?f=a%2B3p%3D248)
- Now, you need to solve for
in the equation 1) and then you must substitute it into
:
![p=184-a](https://tex.z-dn.net/?f=p%3D184-a)
![a+3(184-a)=248](https://tex.z-dn.net/?f=a%2B3%28184-a%29%3D248)
- Solve for
, as following:
![a+552-3a=248\\-2a=-304\\a=\frac{-304}{-2}\\a=152](https://tex.z-dn.net/?f=a%2B552-3a%3D248%5C%5C-2a%3D-304%5C%5Ca%3D%5Cfrac%7B-304%7D%7B-2%7D%5C%5Ca%3D152)
- Therefore, there are 152 apples.
Answer:
The rate is
degree per hour.
Step-by-step explanation:
Given : A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose
degree every
hour for a limited time.
To find : What was the rate, in degrees per hour that the temperature of the compound rose ?
Solution :
In every
hour the temperature of a compound rose
degree
To get the rate, in degrees per hour,
In every 1 hour the temperature of a compound rose is
degree
degree/hr
degree/hr
Therefore, the rate is
degree per hour.