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timurjin [86]
3 years ago
14

A parks and recreational board in Birch County is interested in estimating the proportion of its residents in favor of having mo

re public parks in that county. A random sample of Birch County residents was selected. All the selected residents were asked, "Are you in favor of having more public parks in your county?" A 98% confidence interval for the proportion of residents in favor of having more public parks in that county was calculated to be 0.54 ± 0.03. Which of the following statements is correct?
a. At the 98% confidence level, the majority of area residents is in favor of having more public parks in that county.
b. At the 98% confidence level, the estimate of 0.54 is within 0.03 of the true proportion of county residents in favor of having more public parks in that county.
c. In repeated sampling, 98% of sample proportions will fall in the interval (0.51, 0.57).
d. In repeated sampling, the true proportion of county residents in favor of having more public parks in that county will fall in the interval (0.51, 0.57).
e. In repeated sampling, 98% of the time the true proportion of county residents in favor of having more public parks in that county will be equal to 0.54.
Mathematics
1 answer:
ankoles [38]3 years ago
5 0

Answer:

B.

Step-by-step explanation:

Trust me.

I just did it.

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Simplify.<br><br> 16 - 8 + 5x - 3x<br><br> 16 + 2x<br> 8 + 8x<br> 8 + 2x<br> 10x
klio [65]

Answer:

8+2x

Step-by-step explanation:

Combine Like Terms:

<u>1</u><u>6</u><u>-</u><u>8</u>+5x-3x

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3 years ago
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What is the image of the point (-9,-1) after a rotation of 270 degrees counterclockwise about the origin?
Hunter-Best [27]

Answer:

(-1,9)

Step-by-step explanation:

coortinate point is (-9,-1)

use formula

(x,y)=(y,-x)

(-9,-1)=(-1,9)

3 0
2 years ago
Which postulate can be used to prove that two triangles are congruent
user100 [1]
Side-Side-Side Theorem, Side-Angle-Side, Angle-Angle-Side, Angle-Side-Angle, and Hypotenuse-Leg for right triangles. 

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3 0
3 years ago
Two planes that are traveling toward each other are 720 miles apart. One plane is traveling 40 miles per hour faster than the ot
natali 33 [55]

Answer:

y = 460 miles per hr

x = 500 miles per hr

Step-by-step explanation:

Let the planes be X any

Let their speeds be xmiles/hr and ymiles/hr respectively

x = y + 40 (assuming X is faster by 40miles/hr)

Distance travelled by X to meet Y = 0.75x

Distance travelled by Y to meet X = 0.75y

0.75x + 0.75y = 720 --------1

Put x = y + 40 in eqn 1

0.75(y+40) + 0.75y = 720

0.75y + 30 + 0.75y= 720

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7 0
2 years ago
Help please!!
Pavel [41]

Answer:

1. Left side = 3 inches, Bottom side = 4 inches, Right side = 2 inches, Top side = 5 inches

2.  A = 6 inches²

3.  A = 8 inches²

4.  A = 10 inches²

5.  A = 12 inches²

6.  A = 36 inches²

7. Left side = 5 cm, Bottom side = 12 cm, Right side = 4 cm, Top side = 13 cm

8. A = 180 cm²

Step-by-step explanation:

1. Label the dimensions of the prism:

Left side = 3 inches

Bottom side = 4 inches

Right side = 2 inches

Top side = 5 inches

2. Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 3 x 2

A = 6 inches²

3. Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 4 x 2

A = 8 inches²

4. Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 2

A = 10 inches²

5. (They gave the formula of the two triangles, but the question said green rectangle?  They must've meant yellow triangles)

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 3 x 4)

A = 2(1/2 12)

A = 2(6)

A = 12 inches²

6. Total surface area of the triangular prism:

Formula:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 6 inches² + 8 inches² + 10 inches² + 12 inches²

A = 36 inches²

7. Label the dimensions of the prism:

Left side = 5 cm

Bottom side = 12 cm

Right side = 4 cm

Top side = 13 cm

8. Total surface area of the triangular prism:

First, we can find the area of each shape, as we had previously to find the total area of the net and the surface area of the triangular prism.

Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 4

A = 20 cm²

Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 12 x 4

A = 48 cm²

Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 13 x 4

A = 52 cm²

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 5 x 12)

A = 2(1/2 60)

A = 2(30)

A = 60 cm²

Total surface area of the triangular prism:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 20 cm² + 48 cm² + 52 cm² + 60 cm²

A = 180 cm²

5 0
2 years ago
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