Answer:
3
Step-by-step explanation:
The whole goal is to isolate the variable.
3x-1=8
1+3x-1=8+1 first add 1 to both sides of the equation to cancel out the -1
3x=9 now just divide 3 to both sides of the equation because the opposite of multiplication is division. So dividing 3 on both sides cancels out the 3 to isolate the x
3x/3=9/3
x=3
Answer:
s would be the dependent variable, and g the independent.
Step-by-step explanation:
Whatever the score is, it would depend on how many goals the team has scored.
Using exponential function concepts, it is found that the daily rate of change in the mass of the sample is of -4%, that is, the amount decays by 4%.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the function is:

Hence:


1 - r < 1, hence the rate is negative, and the daily rate of change in the mass of the sample is of -4%.
You can learn more about exponential function concepts at brainly.com/question/25537936
9514 1404 393
Answer:
y = -x +2
Step-by-step explanation:
The parallel line will have the same slope; only the constant will be different. We can find that constant using the given point.
y = -x +b
-4 = -6 + b . . . substitute for x and y
2 = b . . . . . . add 6
The desired equation is ...
y = -x +2
We want to find the sample size n such that
Pr[|µ - 101| < 5] = 0.98
where µ is ... some mean. It can be the mean for either the true population or the sample. It's unclear which is which from the given info, but that's not actually important.
In the inequality, divide both sides by the standard error, σ/√n = 16/√n :
Pr[|µ - 101|/(16/√n) < 5/(16/√n)] = 0.98
Use a lookup table to find the z-score corresponding to 0.98 :
⇒ 5/(16/√n) ≈ 2.05375
Solve for n :
⇒ n ≈ 43.1911 ≈ 44