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a = ( 0 , 7 ) & b = ( 3 , 1 )
First need to find the slope using the following equation :




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We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .




I choose point (( a )) to put in the equation.



Add sides 7


This the slope-intercept form .
Done...
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Answer:
<u>c + 8 ≤ -19</u>
Step-by-step explanation:
The number c increased by 6 is less than or equal to -19.
<u>c + 8 ≤ -19</u>
<u></u>
Answer:
11
220/x=100/5
(220/x)*x=(100/5)*x - we multiply both sides of the equation by x
220=20*x - we divide both sides of the equation by (20) to get x
220/20=x
11=x
x=11.
Answer:
Step-by-step explanation:
Since the results for the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = test reults
µ = mean score
σ = standard deviation
From the information given,
µ = 1700 points
σ = 75 points
We want to the probability that a student will score more than 1700 points. This is expressed as
P(x > 1700) = 1 - P(x ≤ 1700)
For x = 1700,
z = (1700 - 1700)/75 = 0/75 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
P(x > 1700) = 1 - 0.5 = 0.5
The lower bound is 147.5 and the upper bound is 152.5.
Given the weight of an apple 150 g rounded to the nearest 5g.
We have to find lower bound and upper bound.
Lower bound is an element less than or equal to all the elements in a given set.
Upper bound is an element greater than all the elements in a given set.
Lower bound= Number 1- (Number nearest to which number 1 is rounded)/2
Upper bound=Number 1+(number nearest to which number 1 is rounded)/2
Weight of an apple =150 g
Lower bound=150-5/2
=150-2.5
=147.5
Upper bound=150+5/2
=150+2.5
=152.5
Hence the lower bound is 147.5 and upper bound is 152.5.
Learn more about lower and upper bounds at brainly.com/question/15408313
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