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2 years ago

What is the distance, to the nearest whole number, from K(5,6) to P(1,-4)

Mathematics

1 answer:

yarga [219]2 years ago

8 0

Answer:

The distance between the two points is approximately 11 units

Step-by-step explanation:

Here, we are to give the distance between the given two points to the nearest whole number;

To calculate the distance, we shall be using the distance formula;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (5,6)

(x2,y2) = (1,-4)

D = √(1-5)^2 + (-4-6)^2

D = √((-4)^2 + (-10)^2

D = √(16+100)

D = √(116)

D = 10.77 units which is approximately 11 units

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Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

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b)

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Alternative Hypothesis: H₁: μ ≠ 24

Step-by-step explanation:

Step(i):-

Given random sample 'n' = 250

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Standard deviation = 3.3

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Alternative Hypothesis: H₁: μ ≠ 24

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a) 99% or 0.01% level of significance

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The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

They score is above 24 on the math portion of the exam

b) 95% or 0.05% level of significance

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$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at 0.05% level of significance

They score is below 24 on the math portion of the exam

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