Answer:
A the first option
Step-by-step explanation:
first you have to find the straight line
4x-20 + x = 5x-20=180
5x-20= 180
180-20=160
5x = 160
x= 32
so it's A
Hello!
You can use the Pythagorean Theorem to solve this
Separate the rectangle into two triangles

c is the diagonal
a and b are the side lengths
Put in the values you know

Square the numbers

Add

Take the square root of both sides
6.4 = c
The answer is B) 6.4 units
Hope this helps!
Answer:
The first one is by using your mind. If you know that factorial of any non negative integer denoted by n!
defined as
n!=n(n−1)(n−2)⋯3⋅2⋅1
then 5!=5∗4∗3∗2∗1. You can calculate it in your mind which will give you 5!=120.
That's it.
The next method is using your calculator. In my calculator Casio fx-991es, I pressed 5 and then shift+x−1
button and I got 120. Similarly, you can use Google to calculate it like I did and got this.
Step-by-step explanation:
Answer:
In the long run if one day is rainy there is frequency of 2/5 that other two days will also be rainy.
Step-by-step explanation:
A matrix is formed to classify the weather conditions. It is given that if one day is sunny then there is likely chance that the next day will be cloudy, but if one day is rainy then there is 60% chance that next day will be same. To identify the possibility of next two days we create probability matrix;
Probability (P) = ![\left[\begin{array}{ccc}0&\frac{1}{2} &\frac{1}{2} \\\frac{1}{4} &\frac{1}{2} &\frac{1}{4} \\\frac{1}{4} &\frac{1}{4} &\frac{1}{2} \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26%5Cfrac%7B1%7D%7B2%7D%20%26%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%5Cfrac%7B1%7D%7B4%7D%20%26%5Cfrac%7B1%7D%7B2%7D%20%26%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%5Cfrac%7B1%7D%7B4%7D%20%26%5Cfrac%7B1%7D%7B4%7D%20%26%5Cfrac%7B1%7D%7B2%7D%20%5Cend%7Barray%7D%5Cright%5D)
After solving for probability we get a fraction of 2/5
Phillip spent $8.14 in total. Here is how:
2.5 lbs (Monday) + 1.2 lbs (Tuesday) = 3.7 lbs
3.7 lbs • $2.20/per lbs = $8.14