Using the z-table, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 100
μ = mean = 125
σ = standard deviation = 18
z-score = (100 – 125) / 18
z-score = (-25) / 18
z-score = -1.39
Find the probability that corresponds to the z-score in the z-table. (see attached images)
-1.39 - (-1.3) : -1.4 - (-1.3) = x - 0.0968 : 0.0808 - 0.0968
-0.09 : -0.1 = x - 0.0968 : -0.016
x - 0.0968 = -0.09(-0.016)/-0.1
x = -0.0144 + 0.0968
x = 0.0824
x = 0.0824
Hence, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.
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Do 1,500x0.55 which equals
825 people
Because K is the midpoint of JL and JK = 18, KL must also equal 18. So the equation would be 3x - 15 = 36 because you add 18 + 18. You then add 15 to both sides to get 3x = 51. Then you divide by 3 on both sides to get x = 17.
· Perpendicular lines have slopes that are opposite reciprocals of each other
· Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept
If the slope of the first line is 3, the slope of the second line is -1/3. Since the lines intersect at the origin, neither of them have a y-intercept.
Answer:
C) y = -1/3x
Answer:
4
Step-by-step explanation:
Step 1: Write equation
5x - 2(2x - 1) = 2(3x - 4)
Step 2: Solve for <em>x</em>
- Distribute: 5x - 4x + 2 = 6x - 8
- Combine like terms: x + 2 = 6x - 8
- Subtract x on both sides: 2 = 5x - 8
- Add 8 to both sides: 10 = 5x
- Divide both sides by 5: 2 = x
- Rewrite x = 2
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
5(2) - 2(2(2) - 1) = 2(3(2) - 4)
10 - 2(4 - 1) = 2(6 - 4)
10 - 2(3) = 2(2)
10 - 6 = 4
4 = 4
Here we see that x = 2 is indeed a solution
Step 4: Find 2x
2(2) = 4
