Which graph represents the solution of the inequality 24x – 17x ≥ 13x + 15?
1 answer:
Answer:
See below ~
Step-by-step explanation:
Solving the inequality :
- 24x - 17x ≥ 13x + 15
- 7x ≥ 13x + 15
- -6x ≥ 15
- <u>x ≤ -2/5</u>
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Plotted graph :
- Kindly note the line drawn should be a solid line for the inequality to be true
- When you draw on a graph, kindly remember this and don't directly copy from the attached graph
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Answer:
The p-value is approximately 0.0508
Step-by-step explanation:
The given parameters are;
The expected mass of banana chips bag filled by the machine, μ = 421 gams
The number of bags in the sample of bags filled by the machine, n = 26 bags
The mean mass of the bags in the sample, = 413 grams
The standard deviation of the mass in the bags, s = 24 grams
The level of significance, α = 0.02
The null hypothesis, H₀; μ = 421 grams
The alternative hypothesis, Hₐ; μ < 421 grams
The test statistic is given as follows;
We get;
The t-value = -1.6996731712
The degrees of freedom df = n - 1 = 26 - 1 = 25
From an online source, we get the critical-t = 2.166587
The p-value is obtained using an online source as p(t ≤ -1.6996731712) = 0.0508
From the p-value table, we get
0.05 < p < 0.1
→ 6x² - 2x - 20
→ 6x² + 10x - 12x - 20
→ x(6x + 10 ) - 2 (6x + 10)
→ (6x + 10) (x - 2) .
for
6x - 10 = 0
6x = 10
for x - 2
x = 2