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Alenkasestr [34]
3 years ago
5

Find an equation of the plane that passes through the point P0 = (6, 3, 2) and is parallel to the xy-plane. g

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

The <em>xy</em>-plane has a normal vector of 〈0, 0, 1〉, and any plane parallel to it will have the same normal vector.

Then the equation of the plane through (6, 3, 2) that is parallel to the <em>xy</em>-plane has equation

〈<em>x</em> - 6, <em>y</em> - 3, <em>z</em> - 2〉 • 〈0, 0, 1〉 = 0

==>   <em>z</em> - 2 = 0

==>   <em>z</em> = 2

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iragen [17]
6.2w = 18.6....divide both sides by 6.2
w = 18.6 / 6.2
w = 3 <==
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3 years ago
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The net of a pyramid is shown below. 4in 4in 4in 4in 8in. The surface area of the solid is __ square inches.
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Answer:

80 in.²

Step-by-step explanation:

The total surface area of the pyramid is the sum of the area of the base and the areas of the 4 triangular sides.

Square: area = s²

Square: side = 4 in.

Triangular side: area = bh/2

Triangular side: base = 4 in.; height = 8 in.

Area of the base: s² = (4 in.)² = 16 in.²

Total area of the 4 triangular sides: 4 × bh/2 = 2bh = 2 × 4 in. × 8 in. = 64 in.²

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1 year ago
Two different floor plans are being offered in a new housing development. Several prospective
cricket20 [7]

Answer:

0.912

Step-by-step explanation:

<em>The complete question is attached.</em>

<em />

"OR" in probability means "ADDITION". So we find the individual probabilities and "ADD" them.

P(Plan A) would be the total people for plan A (add up column of Plan A) divided by total number of people [add up all the numbers].

Looking at the table, we have:

P (Plan A) = 38/68

Now,

P(40-49 Group) can be found by adding up the row of 40-49 age group and dividing by the total. So, we have:

P(40 - 49 Group) = 24/68

Now, adding up both:

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In a survey of 1,000 women aged 22 to 35 who work full time, 545 indicated that they would be willing to give up some personal t
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Yes, there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.

No ;

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n = 1000

x = 545

Phat = x / n = 545/1000 = 0.545

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H1: μ > 0.5

The test statistic :

(phat - p0) ÷ √(p(1 - P0) / n)

Test statistic :

(0.545 - 0.5) ÷ √(0.5(0.5) / 1000)

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Reject H0 ; if Pvalue < α

Using the Pvalue from Test statistic (Z) calculator :

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Answer:

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Step-by-step explanation:

Givens

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3 years ago
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