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2 years ago

How many yards of a carpeting that is 26 inches wide will be needed to cover a ﬂoor that

1 answer:

3 0

How many yards of a carpeting that is 26 inches wide will be needed to cover a ﬂoor that
is 12ft by 13ft?

12ft = 144in
13ft = 156in

144in × 156in= 22464in²
(12ft) × (13ft) = (156ft²)

22464in² ÷ 26in = 864in needed

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A line that includes the point (10,–5) has a slope of 7. What is its equation in point-slope form?

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Y+5=7(x-10)
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3 years ago

2 MIDDLE SCHOOL QUESTIONS

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Step-by-step explanation:

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A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co

kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(test scores is between 411 and 649)

$P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%$

b) P(scores is less than 411 or greater than 649)

$P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%$

c) P(score greater than 768)

P(x > 768)

$P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)$

$= 1 - P(z \leq 2)$

Calculation the value from standard normal z table, we have,

$P(x > 768) = 1 -0.977 = 0.023 = 2.3\%$

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3 years ago

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Ludmilka [50]

Answer:

The method of separation is chromatography.

Step-by-step explanation:

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