Answer:
4y=x+33
y=x/4+33/4 (slope-intercept form)
Step-by-step explanation:
y-3 = -4(x+2)
y-3 -4x-8
y= -4x-8+3
y= -4x-5
m1 = -4
For perpendicularity
m2= -1/-4 = 1/4
The equation is
y-y1 = m2(x-x1)
y-7 = 1/4(x-(-5))
y-7 = x/4+5/4
Multiply through by 4
4y-28=x+5
4y=x+5+28
4y=x+33
Divide through by 4
y=x/4+33/4 (slope-intercept form)
Answer:
The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485
Step-by-step explanation:
Confidence interval of standard deviation is given as follows;
s = 
Where:
= Sample mean
s = Sample standard deviation
n = Sample size = 7
χ = Chi squared value at the given confidence level
= ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857
The sample standard deviation s = = 2.854
The test statistic, derived through computation, = ±3.707
Which gives;
1.7047 < σ < 7.485
The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.
The answer is B. They get a loan and pay each month, because then they have time to get the money to pay it back while still getting the car.
Answer:
242/27
Step-by-step explanation:
Using the formula for the sum, you can fill in the given values and do the arithmetic.
Sn = a1·(r^n -1)/(r -1)
S5 = 6·((1/3)^5 -1)/(1/3 -1) = 6(-242/243)/(-2/3) = 6·(121/81)
S5 = 242/27
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Or, you can write the terms and add them up. The sum is ...
6 + 2 + 2/3 + 2/9 + 2/27 = (162 +54 +18 +6 +2)/27 = 242/27
Area of a triangle = 1/2 x base x height
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Find Height :
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3.75 = 1/2 x 2.5 x height
3.75 = 1.25 x height
height = 3.75 ÷ 1.25
height = 3 meters
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Answer: The height is 3 meters.
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