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Tasya [4]
2 years ago
9

julio distributed a survey to his fellow students asking them how many hours they spent playing sports in the past day. He also

asked them to rate their mood on a scale from 0 to 10, with 10 being the happiest. Julio created the following scatterplot and regression line to show this relationship. The fitted line has a y-intercept of 5. What is the best interpretation of this y-intercept?
Mathematics
1 answer:
Karolina [17]2 years ago
8 0

Answer:

The least mood value.

Step-by-step explanation:

If Julio has rated their mood on a scale from 0 to 10, with 10 being the happiest. The least value is 5.

If the fitted line has a y-intercept of 5, the best interpretation of this y-intercept is that the least mood value among the his fellow students is 5.

Intercept actually means beginning, starting point, flat rate e.t.c

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Write the expression as a square of a binomial if possible: 1/9 x^2+ 2/15 x y+ 1/25 y^2
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Answer:  \bold{\bigg(\dfrac{1}{3}x+\dfrac{1}{5}y\bigg)^2}

<u>Step-by-step explanation:</u>

The square of the trinomial exists only if (a + b)² = a² + 2ab + b²

\dfrac{1}{9}x^2+\dfrac{2}{15}xy+\dfrac{1}{25}y^2\\\\\\a=\sqrt{\dfrac{1}{9}x^2}=\dfrac{1}{3}x\\\\\\b=\sqrt{\dfrac{1}{25}y^2}=\dfrac{1}{5}y\\\\\\2\cdot a\cdot b=2\cdot \dfrac{1}{3}x\cdot \dfrac{1}{5}y = \dfrac{2}{15}xy\\\\\text{So, }\dfrac{1}{9}x^2+\dfrac{2}{15}xy+\dfrac{1}{25}y^2=\bigg(\dfrac{1}{3}x+\dfrac{1}{5}y\bigg)^2\\

4 0
3 years ago
Suppose that production of 1 unit of mining requires 33​/77 unit of​ mining, 22​/77 unit of​ manufacturing, and 22​/77 unit of c
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For the second example,
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To find the integer ratio, divide all numbers with the smallest value, 11/77. The ratio becomes: 5:1:1

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For this, exclude the ratio for mining because if you use this as the value, then all the numbers would be zero. Instead, divide using 11/77. The ratio becomes: 6:1.
5 0
3 years ago
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