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s344n2d4d5 [400]

3 years ago

6

A researcher calculated sample proportions from two independent random samples. Assuming all conditions for inference are met, w

hich of the following is the best method for the researcher to use to estimate the true difference between the population proportions?

1 answer:

WARRIOR [948]3 years ago

7 0

Answer:

A) Construct a two-sample z -interval for the difference between population proportions.

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HELp meh with this question it very hard

Dovator [93]

Answer:

AB = 7 cm

Step-by-step explanation:

<u>Use the law of cosines to find the side AB:</u>

$AB = \sqrt{(x + 3)^2+x^2-2x(x+3)cos (60)} =$
$\sqrt{x^2+6x+9+x^2-x^2-3x} = \sqrt{x^2+3x+9}$

<u>Use the Heron's area formula next:</u>

$A = \sqrt{s(s - a)(s-b)(s-c)}$ , where s- semi perimeter

s = 1/2[x + x + 3 + $\sqrt{x^2+3x+9}$ ) = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ )
s - a = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2x - 6) = 1/2 ( $\sqrt{x^2+3x+9 }$ - 3)
s - b = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2x) = 1/2 ( $\sqrt{x^2+3x+9}$ + 3)
s - c = 1/2 (2x + 3 + $\sqrt{x^2+3x+9}$ - 2 $\sqrt{x^2+3x+9}$ ) = 1/2 (2x + 3 - $\sqrt{x^2+3x+9}$ )

<u>Now</u>

(s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)
s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)

<u>Next</u>

A² = 3/16(x² + 3x)(x² + 3x)
300 = 3/16(x² + 3x)²
1600 = (x² + 3x)²
x² + 3x = 40

<u>Substitute this into the first equation:</u>

$AB = \sqrt{40 + 9} = 7 cm$

4 0

3 years ago

Mark has twice as much money as Tamassa. Together they have $630. How much money does Mark have

VikaD [51]

Answer:

472

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Darcy uses place value blocks to show a number. she uses 4 thousands blocks and 5 hundreds blocks. what's the number? how can sh

xxMikexx [17]

The answer to this question is 4,500

6 0

3 years ago

What is the length of the arc shown in red?

professor190 [17]

Answer:

≈ 18.8 cm

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

The central angle is equal to the arc subtending it, that is 60°

arc = 2πr × $\frac{60}{360}$

= 2π × 18 × $\frac{1}{6}$

= 36π × $\frac{1}{6}$

= 6π ≈ 18.8 cm ( to 1 dec. place )

3 0

3 years ago

A carpenter has a piece of wood that is 10 yards long anda piece that is 5 feet long. how many feet of wood does the carpenter h

stellarik [79]

A piece of wood 10 yards long

and

A piece of wood 5 feet long

He has two pieces of wood. How much does he have in all?

5+10 = 15

15 feet of wood

6 0

3 years ago