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aleksley [76]
3 years ago
15

(3/5)x + 25y=10 determine the slope of the line

Mathematics
1 answer:
Sophie [7]3 years ago
7 0

Answer:

The slope is -0.048/2.000 or -0.024

Step-by-step explanation:

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Rick drove for 45 minutes on Wednesday for a distance of 34.5 miles. On Thursday, he increased his speed by 3 miles per hour, an
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is d and a

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A USA Today/Gallup poll asked a group of unemployed and underemployed Americans if they have had major problems in their relatio
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Answer:

Null hypothesis: <em>H₀</em>: <em>p</em>₁ = <em>p</em>₂.

Alternate hypothesis: <em>H₀</em>: <em>p</em>₁ ≠ <em>p</em>₂.

Step-by-step explanation:

A statistical experiment is conducted to determine whether the proportions of unemployed and underemployed people who had relationship problems were different.

Let <em>p</em>₁ = the proportion of unemployed people who had relationship problems and <em>p</em>₂ = the proportion of underemployed people who had relationship problems.

A hypothesis test for difference between proportions, can be conducted to determine if there is any difference between the two population proportions.

Use a <em>z</em>-test for the test statistic.

The hypothesis test is:

<em>H₀</em>: There is no difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ = <em>p</em>₂.

<em>Hₐ</em>: There is a significant difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ ≠ <em>p</em>₂.

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4 years ago
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Suppose that cot θ = c and 0 &lt; θ &lt; π 2 . what is a formula for cos θ in terms of c?
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Answer:

<h3>cosθ = c/√1+c²</h3>

Step-by-step explanation:

Given cot θ = c and 0 < θ < π/2

In trigonometry identity:

cotθ  = 1/tanθ = c

1/tanθ = c

cross multiply

tanθ  = 1/c

According to SOH, CAH, TOA:

Tanθ = opposite/adjacent = 1/c

cosθ = adjacent/hypotenuse

To get the hypotenuse, we will use the pythagoras theorem:

hyp² = opp²+adj²

hyp² = 1²+c²

hyp = √1+c²

Find cosθ in terms of c

cosθ = c/√1+c²

Hence the formula for cos θ in terms of c is cosθ = c/√1+c²

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