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Brut [27]
3 years ago
12

What is the point-slope form of the equation of a line that passes through the point (1, 4) and has a slope of −3?

Mathematics
1 answer:
zmey [24]3 years ago
3 0
So y=mx+b
m=slope

y=-3x+b
subsitutue 1 for x and 4 for  y
4=-3(1)+b
4=-3+b
add 3 to both sides
7=b

the equaiton is y=-3x+7
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Renee has 1/4 yard of floral fabric. She cuts it into 5 equal pieces. How long is each new piece of fabric?
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Answer:

\dfrac{1}{20}\ \text{yards}

Step-by-step explanation:

Given that,

Renee has 1/4 yard of floral fabric.

She cuts it into 5 equal pieces.

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l=\dfrac{\dfrac{1}{4}}{5}\\\\=\dfrac{1}{4}\times \dfrac{1}{5}\\\\=\dfrac{1}{20}\ \text{yards}

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5 0
3 years ago
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Likurg_2 [28]

Answer: The professor was not accurate with his hypothesis.

Null hypothesis: P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternate hypothesis: At least one proportion of the student will differ from the others.

Step-by-step explanation: To check if the professors hypothesis were inaccurate.

What percentage of student bought a hard copy of the book.

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What percentage of the student printed it from the web.

(85 ÷ 200) × 100 = 42.5%

What percentage of the students read it online.

(90 ÷ 200) × 100 = 45%

This means that the professor was not accurate with his hypothesis. Because the proportion of student in his hypothesis was not the same in the actual.

Therefore; the null hypothesis are

P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternative hypothesis will state that at least one of the proportion will be different from the others.

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Answer:

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Step-by-step explanation:

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