3+ x/2 = 10 Given
x/2 = 7 Subtraction property of equality
x = 14 Multiplication property of equality
7x + 5(x + 3) + 4x + x + 2 =
= 7x + 5x + 15 + 4x + x + 2 = 17x + 17
Answer:
youre welcome for the answer
Step-by-step explanation:
The equation of the line in slope-intercept form and standard form that passes through the line are y = -5 / 6x - 43 / 6 and 5x + 6y = -43 respectively.
<h3>Slope intercept equation</h3>
The Slope intercept equation is use to represent a linear table or graph. Therefore, the formula is represented as follows
y = mx + b
where
m = slope
b = y-intercept
Hence,
(-5, -3)(1, -8)
m = -8 + 3 / 1 + 5 = - 5 / 6
Using (1, -8) let's find b
-8 = -5 / 6 (1) + b
-8 + 5 / 6 = b
-48 + 5/6 = b
b = -43 / 6
Therefore, the slope intercept equation is y = -5 / 6x - 43 / 6
The equation in standard form is represented as Ax + By = C. Therefore,
y + 5 / 6 x = - 43/6
5x + 6y = -43
learn more on slope intercept equation here: brainly.com/question/14440205
Let X be the hip breadth for men. X follows Normal distribution with mean μ =14.8 and standard deviation σ =1.1
Here we have to find the hip breadth for men that separates the smallest 90% from the largest 10%
That is we have to find X that separates lower 90% area from upper 10%. For that we will first find z such that probability below it is 0.9 and above it 0.1
P(Z < z) =0.9
Using z score table to find z value
We do not have probability value exactly 0.9 so we will take probability close to 0.9 which is 0.8997 and corresponding z score is 1.28
So we have P(Z < 1.28) =0.9
Now using z=1.28, μ =14.8 and σ =1.1 we will find value of x
x = z*σ + μ
= (1.28 * 1.1) + 14.8
x = 16.208 rounding to nearest integer x= 16
The hip breadth that separates lower 90% area from upper 10% is 16 inch