Answer:
see explanation
Step-by-step explanation:
Sum the sides of both polygons and equate.
(20)
x + 4 + x + 2 + x + 5 = 2(x + 1) + 2(x + 3) ← distribute parenthesis
3x + 11 = 2x + 2 + 2x + 6
3x + 11 = 4x + 8 ( subtract 3x from both sides )
11 = x + 8 ( subtract 8 from both sides )
3 = x
(21)
5(12x) = x + 7 + 6x + 9 + x + 10
60x = 8x + 26 ( subtract 8x from both sides )
52x = 26 ( divide both sides by 52 )
x =
= 
Answer:Then ask a neighbor for help
Step-by-step explanation:Hey just breath
Answer/Step-by-step explanation:
Slope (m) = rise/run
y-intercept (b) = starting value or the point on the y-axis where the line cuts across
✔️Slope (m) of skater 1:
Rise = 45
Run = 7.5
Slope (m) = 45/7.5 = 6
✔️ y-intercept (b) of Skater 1:
b = 0 (the y-axis is intercepted at 0)
✔️Skater 1 linear function in slope-intercept form, y = mx + b
Substitute m = 6 and b = 0 into y = mx + b
Linear function: y = 6x + 0
y = 6x
✔️Slope (m) of skater 2:
Rise = 30
Run = 15
Slope (m) = 30/15 = 2
✔️ y-intercept (b) of Skater 2:
b = 0 (the y-axis is intercepted at 0)
✔️Skater 2 linear function in slope-intercept form, y = mx + b
Substitute m = 2 and b = 0 into y = mx + b
Linear function: y = 2x + 0
y = 2x
Answer:
B) She is incorrect because when substituting 2 for m the result was a false statement.
Step-by-step explanation:
Let's solve it for ourselves and see if Mia is correct:
7.8+2(0.75m+0.4)=-6.4m+4(0.5m-0.8)
7.8+1.5m+0.8=-6.4m+2m-3.2
1.5m+8.6=-4.4m-3.2
8.6=-5.9m-3.2
11.8=-5.9m
-2=m
m=-2
Since the answer is actually m=-2, Mia's guess is incorrect because plugging in m=2 does not make both sides equal. Therefore B is the correct option.
Answer:
The 99% confidence interval of the standard deviation of the pulse rates of men is
![[ 7.949 \ \ , \ 14.387 ]](https://tex.z-dn.net/?f=%5B%207.949%20%5C%20%20%5C%20%2C%20%5C%20%2014.387%20%5D)
Step-by-step explanation:
From the question we are told that
The sample size is n = 40
The mean is 
The standard deviation is 
Generally the degree of freedom is mathematically represented as

=> 
=> 
From the question we are told the confidence level is 99% , hence the level of significance is

=> 
Generally from the chi distribution table the critical value of at a degree of freedom of is

Generally from the chi distribution table the critical value of at a degree of freedom of is

Generally the 99% confidence interval of the standard deviation of the pulse rates of men is mathematically represented as

=> 
=> ![[ 7.949 \ \ , \ 14.387 ]](https://tex.z-dn.net/?f=%5B%207.949%20%5C%20%20%5C%20%2C%20%5C%20%2014.387%20%5D)