The confidence interval for the difference p1 - p2 of the population proportion is (0.063, 0.329)
<h3>How to determine the confidence interval?</h3>
The given parameters are:
n₁ = 93; n₂ = 80
p₁ = 0.814; p₂ = 0.618
The critical value at 95% confidence interval is
z = ±1.96
So, we have:

Substitute known values in the above equation

Evaluate

This gives
CI = 0.196 ± 0.133
Expand
CI = (0.196 - 0.133, 0.196 + 0.133)
Evaluate
CI = (0.063, 0.329)
Hence, the confidence interval is (0.063, 0.329)
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Answer:
<h3>x = 7</h3>
Step-by-step explanation:
2 angles are added to result in = 180°
therefore
180 = 97 - 3x + 69 + 5x
180 = 166 + 2x
2x = 180 - 166
2x = 14
x = 14 ÷ 2
<h3>x = 7 ✅</h3>
The value of x = 7
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- kexcvi
Answer:
C) 10.63 units.
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:

We have the two points (2, -3) and (-6, 4). Let (2, -3) be (<em>x₁, y₁</em>) and let (-6, 4) be (<em>x₂, y₂</em>). Substitute:

Simplify:

Evaluate:

Our answer is C.
Answer:
(-2, -2)
Step-by-step explanation:
Red point represents (-2,-6) while blue point represents (-2,-2). count the numbers upward and it'll be 4 units. Best thing to do in this problem is to plot the given points and go from there.