3 years ago

A researcher carefully calculates the correlation coefficient and gets a value of r=1.23. What does this value mean?

Mathematics

1 answer:

Vaselesa [24]3 years ago

4 0

Answer: An error was made! All correlation coefficients: -1 ≤ r ≤ 1.

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A cup of coffee with temperature 155degreesF is placed in a freezer with temperature 0degreesF. After 5 minutes, the temperatur

Leviafan [203]

Answer:

45.50° F

Step-by-step explanation:

As per Newton's law,

$T(t) = T_{s}+(T_{0} + T_{s})e^{-kt}$

When T(t) is the final temperature

$T_{s}$ = Temperature of surrounding

$T_{0}$ = Initial temperature

t =duration of cooling

k = constant

$103=0+(155-0)e^{-k\times 5}$

$103=155e^{-5k}$

Now take natural log on both the sides

$ln(103)=ln(155e^{-5k})$

$ln(103)=ln(155)+ln(e^{-5k})$

$ln(103)=ln(155)=-5k$

4.6347 - 5.0434 = -5k

$k=\frac{0.40872}{5}$

k = 0.0817

$T(t)=0+(155-0)e^{(0.0817\times 15)}$

= $155e^{-1.226}$

= 155 (02935)

= 45.49 ≈ 45.50° F

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3 years ago

Find the cosine of the angle between the planes x+y+z=0 and 4x+3y+z=1. Answer: cosθ=

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The angle between the planes is the same as the angle between their normal vectors, which are

n₁ = ⟨1, 1, 1⟩

n₂ = ⟨4, 3, 1⟩

The angle θ between the vectors is such that

⟨1, 1, 1⟩ • ⟨4, 3, 1⟩ = ||⟨1, 1, 1⟩|| ||⟨4, 3, 1⟩|| cos(θ)

Solve for cos(θ) :

4 + 3 + 1 = √(1² + 1² + 1²) √(4² + 3² + 1²) cos(θ)

8 = √3 √26 cos(θ)

cos(θ) = 8/√78

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2 years ago

Could I get some help? Its simplifying square roots of negative numbers.

Ainat [17]

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The square root of -100 is 10i.

Step-by-step explanation:

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3 years ago

My Than purchased a bicycle costing RS 56oo from a dealer at 51 discount and a sold a profit of 10%. If he had soll it at sy dis

Alisiya [41]

Answer:

sp of bicycle =5600

cp of bicycle =10

now,

profit(p)=sp-cp

=5600-10

=5,590

The profit of bicycle is Rs 5,599

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3 years ago

Which number line shows the solution of 5x-8<-3

makvit [3.9K]

Answer:

Step-by-step explanation:

It is right

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2 years ago