Answer:
The ratio of the difference of the two means to Sidney's mean absolute deviation =
= 1.2195
Step-by-step explanation:
P.S - The exact question is -
Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.
Sidney’s Grades Phil’s Grades
Mean 82 78
Mean Absolute Deviation 3.28 3.96
To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
Proof -
Given that Mean of Sidney Grades = 82
Mean of Phil's Grades = 78
So,
The difference of two means = 82 - 78 = 4
Also,
Given, Mean Absolute Deviation of Sydney = 3.28
Now,
The ratio of the difference of the two means to Sidney's mean absolute deviation =
= 1.2195
The equation of line is:

Further explanation:
Given equation of line is:
y = 3x+5
The standard form of point-slope form is:
y = mx+b
Comparing the given equation with the standard form is:
m = 3
We know that product of slopes of two perpendicular lines is -1
Let m2 be the slope of line perpendicular to y = 3x+5
Then

Putting the value of slope in standard form

To find the value of b, putting (-3,-4) in equation

Putting the values of slope and b in equation

Keywords: Slope, Point-intercept form
Learn more about perpendicular lines at:
#LearnwithBrainly
Answer:
The answer to your question is the second option 
Step-by-step explanation:
Expression
![[\frac{(x^{2}y^{3})^{-2}}{(x^{6}y^{3}z)^{2}}]^{3}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%28x%5E%7B2%7Dy%5E%7B3%7D%29%5E%7B-2%7D%7D%7B%28x%5E%7B6%7Dy%5E%7B3%7Dz%29%5E%7B2%7D%7D%5D%5E%7B3%7D)
Process
1.- Divide the fraction in numerator and denominator
a) Numerator
[(x²y³)⁻²]³ = (x⁻⁴y⁻⁶)³ = x⁻¹²y⁻¹⁸
b) Denominator
[(x⁶y³z)²]²= (x¹²y⁶z²)³ = x³⁶y¹⁸z⁶
2.- Simplify like terms
a) x⁻¹²x⁻³⁶ = x⁻⁴⁸
b) y⁻¹⁸y⁻¹⁸= y⁻³⁶
c) z⁻⁶
3.- Write the fraction

Answer:
Step-by-step explanation:
To solve this , first we convert the exponential form in to log form
becomes
now we apply change of base formula to remove base 3
like that log_3(15) becomes
2.46497=x+1
subtract 1 from both sides
x= 1.46497
Step-by-step explanation:
Answer:
Hi myself Shrushtee.
Step-by-step explanation:
Given,
p=0.95
n=5
1-p = q =1-0.95=0.05
a)Probability that exactly 4 of these 5 sports bikes pass final inspection =0.2036
b)Probability that less than 3 of these 5 sports bikes pass final inspection =0.0012
Please mark me as brainleist