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3 years ago

The variable Z is inversely proportional to X. When X is 6, Z has the value 2.

1 answer:

6 0

Inverse proportion is of the form:

y=k/x, in this case the variables are

z=k/x, and we are given the point (6,2) so we can solve for k

2=k/6

12=k, so our equation is:

z=12/x, so when x=13

z=12/13

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I have a roof that measures 175 ft by 45 ft. During the hurricane 11 inches of rain fell.

Nikolay [14]

Answer:

4.1 billion

Step-by-step explanation:

1 ft = 30.48 cm

1 in = 2.54 cm

The volume of rain that fell on the roof is given by ...

V = LWH

V = (175 ft × 30.48 cm/ft)(45 ft × 30.48 cm/ft)(11 in × 2.54 cm/in)

= 175×45×11×30.48²×2.54 cm³ = 204,412,236.336 cm³

At 20 drops per cm³, this will be ...

20×204,412,236.336 ≈ 4,088,244,727 . . . . raindrops

About 4.1 billion raindrops fell on your roof.

5 0

2 years ago

The article "Occurrence and Distribution of Ammonium in Iowa Groundwater" (K. Schilling, Water Environment Research, 2002:177–18

Papessa [141]

Answer: 95% confidence interval for the difference between the proportions would be (1.31, 1.39).

Step-by-step explanation:

Since we have given that

Number of alluvial wells = 349

Number of quaternary wells = 143

Number of alluvial wells that had concentrations above 0.1 = 182

Number of quaternary wells that had concentrations above 0.1 = 112

Average of alluvial wells = 0.27

Standard deviation = 0.4

Average of quaternary wells = 1.62

Standard deviation =1.70

So, 95% confidence interval gives

alpha = 5% level of significance.

$\dfrac{\alpha}{2}=2.5\%\\\\z_{\frac{\alpha}{2}}=1.96$

So, 95% confidence interval becomes,

$(1.62-0.27)\pm 1.96\sqrt{\dfrac{0.4^2}{349}+\dfrac{1.7^2}{143}}\\\\=1.35\pm 1.96\times 0.020\\\\=(1.35-0.040,1.35+0.040)\\\\=(1.31,1.39)$

Hence, 95% confidence interval for the difference between the proportions would be (1.31, 1.39).

6 0

3 years ago

-1 2/3÷(-2 1/5)= in simplest form

soldi70 [24.7K]

> -1 2/3 ÷ (-2 1/5)
> -1.66.. ÷ -2.2
> 0.75454...

Answer: 0.75

4 0

3 years ago

What properties does a square have in common with a quadrilateral?

Mashcka [7]

Hey there

Quadrilateral "four sided shape"
A Quadrilateral has four-sides and it is 2-dimensional shape
Squares and quadrilaterals have
4 sides
4 vertices

Hope this helps

6 0

3 years ago

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The transitive property of equality states that:

iris [78.8K]

Transitive Property of Equality: If a = b and b = c, then a = c.

This is one of the equivalence properties of equality.

Hence, the answer is C.

5 0

3 years ago

Read 2 more answers