15. x ≤ -24
x + 19 ≤ -5
x ≤ -24
16. z > -12
3z > -36
z > -12
17. 185 + c > 410; c > 225
18. C.
x - 6 ≥ 1
x ≥ 7
Answer:
What is the probability that you will finish this quiz in 23.84 minutes or less?
0.03593
Write your answer as a percentage with 2 decimals
= 3.59%
Step-by-step explanation:
The z score formula is given as:
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean = 26 minutes
Standard deviation = 1.2 minutes.
The probability that you will finish this quiz in 23.84 minutes or less(≤) is calculated as:
z = (x-μ)/σ
z = 23.84 - 26/1.2
z = -1.8
Probability value from Z-Table:
P(x ≤ 23.84) = 0.03593
Converting to percentage
0.03593 × 100
= 3.593
Approximately to 2 decimal places = 3.59%
Answer:
12.5%
Step-by-step explanation:
4 * 100 / 32 = 12.5
Answer:
The angle of elevation of the sun is 39⁰
Step-by-step explanation:
Given;
height of the tree, h = 96 ft
length of the shadow, L = 120 ft
|
| 96ft
|
|
θ------------------------------------
120ft
Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.
Apply trig-ratio to determine the angle of elevation of the sun;
tanθ = opposite side / adjacent side
tanθ = 96 / 120
tanθ = 0.8
θ = tan⁻¹(0.8)
θ = 38.7⁰
θ = 39⁰
Therefore, the angle of elevation of the sun is 39⁰
Answer:
Step-by-step explanation:
1) 4x + 3 <= 3x - 5
Subtract 3 from both sides
4x + 3-3 <= 3x - 5 -3
4x <= 3x - 8
Subtract 3x form both sides
4x - 3x <= 3x -3x - 8
x <= -8
