26-4s=9s solve the equation
2 answers:
Answer:
s=2
Step-by-step explanation:
We are given the equation:
and asked to solve. We want to find out what the unknown variable, s, is. Therefore, we must isolate s on one side of the equation.
First, let's get all the terms with s on one side of the equation. 4s is being subtracted from 26. The inverse of subtraction is addition. Add 4s to both sides of the equation.
s is being multiplied by 13. The inverse of multiplication is division. Divide both sides of the equation by 13.
Let's check our solution. Plug 2 in for s and solve.
26-4s=9s
26-4(2)=9(2)
26-8=18
18=18
This checks out, so we know our solution is correct.
The solution to the equation 26-4s=9s is s=2.
You might be interested in
Answer:
The probability that the maximum safe-weight will be exceeded is <u>0.0455 or 4.55%</u>.
Step-by-step explanation:
Given:
Maximum safe-weight of 37 cars = 82 tons
∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)
Mean weight of 1 car (μ) = 2 tons
Standard deviation of 37 cars = 0.8 tons
So, standard deviation of 1 car is given as:
Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?
The sample is normally distributed (Assume)
Now, let us determine the z-score of the mean weight.
The z-score is given as:
Now, finding P(x > 2.22) is same as finding P(z > 1.69).
From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.
But we need the area under the curve for z > 1.69.
So, we subtract from the total area. Total area is 1 or 100%.
So,
Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.