Answer:
![d = 14](https://tex.z-dn.net/?f=d%20%3D%2014)
![(-2,-1)](https://tex.z-dn.net/?f=%28-2%2C-1%29)
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distance Formula:
![d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
- Midpoint Formula:
![(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Step-by-step explanation:
<u>Step 1: Define</u>
(5, -1)
(-9, -1)
<u>Step 2: Find distance </u><em><u>d</u></em>
- Substitute:
![d = \sqrt{(-9-5)^2+(-1-(-1))^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-9-5%29%5E2%2B%28-1-%28-1%29%29%5E2%7D)
- Simplify:
![d = \sqrt{(-9-5)^2+(-1+1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-9-5%29%5E2%2B%28-1%2B1%29%5E2%7D)
- Subtract/Add:
![d = \sqrt{(-14)^2+(0)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-14%29%5E2%2B%280%29%5E2%7D)
- Evaluate:
![d = \sqrt{196}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B196%7D)
- Evaluate:
![d = \14](https://tex.z-dn.net/?f=d%20%3D%20%5C14)
<u>Step 3: Find Midpoint</u>
- Substitute:
![(\frac{5-9}{2},\frac{-1-1}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B5-9%7D%7B2%7D%2C%5Cfrac%7B-1-1%7D%7B2%7D%29)
- Subtract:
![(\frac{-4}{2},\frac{-2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B-4%7D%7B2%7D%2C%5Cfrac%7B-2%7D%7B2%7D%29)
- Divide:
![(-2,-1)](https://tex.z-dn.net/?f=%28-2%2C-1%29)
To answer this question, we need to find the winning probability in either case.
Probability = no. of outcomes / total no. of possible outcomes
<u>When Hope pulled her defender :</u>
Total no. of games = 9
No. of games won = 3
Winning probability = 3/9 =1/3
<u>When Hope left her defender :</u>
Total no. of games = 10
No. of games won = 6
Winning probability = 6/10 = 3/5
We know that , 1/3 < 3/5.
So, Hope should not pull her defender, as the winning probability is better when Hope left her defender.
Answer : A. Hope should not pull her defender.
The student with the correct answer is Dylan who says the decimal should be placed between the 8 and 0.
This is base on the estimation that 3.01 is a two decimal place number, so the product 18.06 should also be in 2 decimal place.
<h3>How to find product of decimal number?</h3>
A decimal number is a number expressed in the decimal system (base 10).
Place value:
- Ten thousand
- Thousand
- Hundred
- Ten
- ones
- . decimal point
- tenth
- hundredths
- thousandth
- ten thousandth
- hundred thousandth
6 × 3.01
3.01
- 3 = ones
- . = decimal point
- 0 = tenth
- 1 = hundredth
6 × 3.01
= 18.06
Therefore, Lucas is incorrect with his answer that the decimal should be placed between the 1 and 8.
Read more on decimal number:
brainly.com/question/1827193
#SPJ1
Answer:
7 Goals
Step-by-step explanation:
6 divided by 2 equals 3, So Clark scored 3 goals. 8 divided by 2 equals 4, So Kent scored 4 goals. 4 plus 3 equals 7.
Is there options for this question