Kindly find complete question attached below
Answer:
Kindly check explanation
Step-by-step explanation:
Given a normal distribution with ;
Mean = 36
Standard deviation = 4
According to the empirical rule :
68% of the distribution is within 1 standard deviation of the mean ;
That is ; mean ± 1(standard deviation)
68% of subjects :
36 ± 1(4) :
36 - 4 or 36 + 4
Between 32 and 40
2.)
95% of the distribution is within 2 standard deviations of the mean ;
That is ; mean ± 2(standard deviation)
95% of subjects :
36 ± 2(4) :
36 - 8 or 36 + 8
Between 28 and 44
3.)
99% is about 3 standard deviations of the mean :
That is ; mean ± 3(standard deviation)
99% of subjects :
36 ± 3(4) :
36 - 12 or 36 + 12
Between 24 and 48
You answer is 229 multiply first then add (PEMDAS)
Answer: 42
Step-by-step explanation:
Let the six consecutive even numbers be x , x+2 , x+4 ,x+6 ,x+8 ,x+10.
Then According to the question , we have
![x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)=270\\\\\Rightarrow\ x+x+2+x+4+x+6+x+8+x+10=270\\\\\Rightarrow\6x+30=270\\\\\Rightarrow\ 6x=270-30\\\\\Rightarrow\ 6x=240\\\\\Rightarrow\ x=40](https://tex.z-dn.net/?f=x%2B%28x%2B2%29%2B%28x%2B4%29%2B%28x%2B6%29%2B%28x%2B8%29%2B%28x%2B10%29%3D270%5C%5C%5C%5C%5CRightarrow%5C%20x%2Bx%2B2%2Bx%2B4%2Bx%2B6%2Bx%2B8%2Bx%2B10%3D270%5C%5C%5C%5C%5CRightarrow%5C6x%2B30%3D270%5C%5C%5C%5C%5CRightarrow%5C%206x%3D270-30%5C%5C%5C%5C%5CRightarrow%5C%206x%3D240%5C%5C%5C%5C%5CRightarrow%5C%20x%3D40)
Now, the second number from the above six consecutive even numbers is x+2.
Substitute the value of x in it, we get
The second number in this sequence = ![x+2=40+2=42](https://tex.z-dn.net/?f=x%2B2%3D40%2B2%3D42)
Jackie wants to justify that f(x) = 2x - 6 is a linear function.
Lets assume some values for x and find out f(x)
We make a table with x values 1, 2, 3, 4 and find f(x)
To find f(x) we plug in x value in the given equation
x f(x)
1 2(1)-6 = -4
2 2(2)-6 = -2
3 2(3)-6 = 0
14 2(4)-6 =2
for f(x) we got -4, -2, 0 , 2
The value of f(x) is increasing by 2. There is a constant increase in f(x)
When there is a constant rate of increase then it is a linear function
constant rate of increase that is slope = 2. Hence f(x) = 2x -6 is a linear function.