<u>Let's solve this problem step-by-step</u>:
<u>First, let's set up the point-slope form</u>:
⇒ 
- (x₁,y₁) ==> point on the line
- m ==> value of slope of the line
<u>Let's examine what we are given:</u>
- (-2,9) ==> point on the line
- -8 ==> slope of the line
<u>Let's plug in all the known values in the point-slope form</u>:
<u>To convert from point-slope form to slope-intercept form</u>:
⇒ must solve for 'y'
⇒ (<em>in other words</em>) must isolate y to one side and everything else to
the other side
<u>Let's solve</u>:
<u>Answer: y= -8x - 7</u>
Hope that helps!
Answer:
27° = no answer or stays the same (not to sure on this one)
20' = 0.3°
58" = 0.0161°
Step-by-step explanation:
A minute = 1/60
A second = 1/3600
0 + 0 x 1/60 + 58 x 1/3600
The cross section will be rectangle. You can make a cylinder out of a dough and try to cut it. You will see the cross section is rectangle.
Probability would been equal to 0.9841 if we randomly select 20 bottles it fills.
<h3>What is Probability ?</h3>
The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of the positive results for the experiment with 'n' outcomes can also be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
Given,
n = 20
p = 0.05
Thia information gives information about binomial distribution with parameter n = 20 , p = 0.05
Let X be the number of bottles have caps that she not properly applied
X∝ B( n=20 , p= 0.05)
The p.m.f of X is
P( X=0)= (
) ( 0.05)ˣ (1 - 0.05)²⁰ ⁻ˣ
; x = 0 , 1, 2.......20
0 < p < 1
q= 1 - p
= 0 ; otherwise
P {x ≤ 3} = P { X = 0 } + P{ x= 1 } + P { x= 2 } + P { x= 3}
P( X=0)= (
) ( 0.05)⁰ (1 - 0.05)²⁰ ⁻⁰ = 0.3585
P( X = 1)= 0.3774
P( X= 2) = 0.1887
P( X= 3) = 0.0596
= 0.3585+ 0.3774 + 0.1887+ 0.0596
= 0.9841
To know more about Probability, Visit:
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