Answer:
x=150
Step-by-step explanation:
x+30=180[co-interior angle]
x=180-30
x=150
1. 18
2.8
3.-1
<h3>What is expression?</h3>
An expression is a set of terms combined using the operations +, – , x or ,/.
Given:
1. 22 − 1 (4)
=22- 1*4
= 22-4
= 18
2. 2 + 2 (3)
=2+2*3
=2+6
=8
3. 1 − 2
= -1
Learn more about expression here:
brainly.com/question/14083225
#SPJ1
Answer:
The slope of the line of best fit is 
⇒ 2nd option
Step-by-step explanation:
The formula of the slope of a line is 
<em>To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line</em>
From the attached graph points (1 , 9) and (8 , 3) are the best choice
∵ The line passes through points (1 , 9) and (8 , 3)
∴ 
= 1 and 
= 8
∴ 
= 9 and 
= 3
- Substitute them in the formula of the slope
∴ 
∴ The slope of the line of best fit is
76 + 4 is 80... don't know what you're asking
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
