Answer:
x=2
Step-by-step explanation:
5x-10=0 add 10 on both sides
+10 +10
-------------- -10-10=0
0+10=10
5x=10
5x=10 divide 5x by 5 and 10 divided by 5
--- ---
5 5
x=2 because 10 divided by 5=2
The approximate probability that a runner chosen at random will have a 200 meter time less than 13.5 seconds is 0.4880 ⇒ A
Step-by-step explanation:
To find the probability of a random variable X which has a normal distribution do that
- If X < b, find the z-score using the formula z = (b - μ)/σ, where μ is the mean and σ is the standard deviation
- Use the normal distribution table of z to find the corresponding area to the left of z-score
∵ The 200 meter race times at a state track meet are normally
distributed with mean of 13.56 seconds and a standard deviation
of 2.24 seconds
∴ μ = 13.56
∵ σ = 2.24
- We need to find the probability that a runner chosen at random
will have a 200 meter time less than 13.5 seconds
∵ X < 13.5
∴ b = 13.5
- Find z-score
∵ 
- Use the normal distribution table to find the area corresponding to z
∵ The corresponding area of z ≅ -0.03 is 0.4880
∴ P(x < 13.5) = 0.4880
The approximate probability that a runner chosen at random will have a 200 meter time less than 13.5 seconds is 0.4880
Learn more:
You can learn more about the probability in brainly.com/question/4625002
#LearnwithBrainly
Answer: Choice A. f(x) = sqrt(x-1)
===========================================
Explanation:
The parent function is y = sqrt(x) and the left-most edge of this curve is at (0,0).
The graph shows the left-most point at (1,0) instead.
This means we've shifted everything 1 unit to the right, or you can think of the xy axis being shifted 1 unit to the left while the square root curve stays still (giving the illusion the curve moves).
If we shifted the xy axis 1 unit to the left, then each input x becomes one smaller, so each input is now x-1
That's why we go from y = sqrt(x) to y = sqrt(x-1)
You can use a graphing calculator to confirm this, or you can create a table of values to generate the points on this new blue curve.
Answer:
z/6+15=24
We move all terms to the left:
z/6+15-(24)=0
We add all the numbers together, and all the variables
z/6-9=0
We multiply all the terms by the denominator
z-9*6=0
We add all the numbers together, and all the variables
z-54=0
We move all terms containing z to the left, all other terms to the right
z=54
Step-by-step explanation: hope it helps
Answer:
4, 5, and 6
Step-by-step explanation:
Three Consecutive integers are x, x+1, x+2
We are given 3 times the first integer is 2 times the third
So
3x = 2(x+2)
Solve for x
3x = 2x+4
x = 4 (first integer)
so the 3 integers are 4, 5, and 6
