A ceiling fan manufacturer claims that 89% of homes in the South have ceiling fans. A random sample of 100 Southern homes was surveyed, and 85 had ceiling fans. Let p hat = the proportion of the sample homes that have ceiling fans.

The probability that 85% or fewer homes in the South have ceiling fans is 0.098. Does this result provide convincing evidence against the manufacturer’s claim?

Options:

Yes, it is expected that at least 85 homes have ceiling fans.
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely.
No, the difference between the sample result and what is expected is not extreme enough.
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.

Answer:

2x + 3y = 13

4x - y = -2

In the second equation, subtract 4x from both sides.

-y = -2 - 4x

Divide both sides by -1.

y = 2 + 4x

Put this into the first equation in place of y.

2x + 3(2 + 4x) = 13

Multiply everything in the parenthesis by 3.

2x + 6 + 12x = 13

Combine like terms.

14x + 6 = 13

Subtract 6 from both sides.

14x = 7

Divide 14 on both sides.

x = 7 / 14

x = 0.5

Put this into the second equation in place of x.

4(0.5) - y = -2

2 - y = -2

Subtract 2 from both sides.

-y = -4

Divide both sides by -1.

y = 4

So x = 0.5 and y = 4.

Step-by-step explanation:

Answer:

2000 milliliters, because 1 liter equals 1000 milliliters, so 2 equals 2000! hope this helped!

Answer:

Step-by-step explanation:

Supplementary

180-112= 68

alternate exterior

112

Answer:

∡4 and ∡3 are supplementary

∡3 = 68°

∡5 is an alternate-exterior to ∡4

∡5 = 112°

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

w would have to be bigger or greater than 27. 1 is less than

Answer: yes, 1> 27 is an inequality. This states 1 is greater than 27, which is incorrect the correct solution would be w<27.

hope this helps :)

Answer:

B. Vertical Translation only

Step-by-step explanation:

:>

The triangle ABC is vertically translated only. Then the correct option is B.

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Reflection does not change the size and shape of the geometry.

Rotation does not change the size and shape of the geometry.

Translation does not change the size and shape of the geometry.

On a coordinate plane, triangle ABC is shifted 5 units up to form triangle A'B'C'.

The diagram is given below.

From the diagram, we can clearly observe that the triangle ABC is vertically translated only.

Then the correct option is B.

More about the transformation of geometry link is given below.

https://brainly.com/question/22532832

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Answer:

slope = 2

Step-by-step explanation:

slope is...

rise/run

this is rising by 2 and going to the right by 1

2/1=2

Answer:

Al final, Eduardo tenía 20 dulces.

Step-by-step explanation:

Dado que al principio Eduardo y Adrián tenían el mismo número de dulces, y Eduardo le dio a Adrián la mitad de los dulces que tenía, y después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces, para determinar cuántos dulces tenía Eduardo al final se debe realizar el siguiente cálculo:

Eduardo 1X = Adrián 1X

Eduardo 0.5X = Adrián 1.5X

Eduardo 1.25X = Adrián 0.75X

0.75 X = 12

X = 12 / 0.75

X = 16

1.25 X = 16 x 1.25 = 20

Así, al final, Eduardo tenía 20 dulces.

Answer:

50% for the coin and 1/6 chance for the dice

Answer:312

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

The answer is 1710

Step-by-step explanation:

To find the volume of a shape, multiply the length by width by height.

V = LxWxH

Answer:

810in^3

Step-by-step explanation:

(6*19)/2 = 54

54*15 = 810

Answer:

Step-by-step explanation:

The u-shaped function should have:

The only function with mentioned parameters is:

Correct option is A

The other options don't fit:

Answer:

468408.4m

Step-by-step explanation:

The guy above knows

The volume of a hemisphere with a radius of 60.7 m is 468170.95 cubic meter.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a radius of a hemisphere is 60.7 m.

Half of a sphere, or a hemisphere, is a three-dimensional (3D) shape. The form we obtain when a sphere is split by a plane going through its centre is known as a hemisphere. A hemisphere has one flat circular base and a curving surface. The quantity of unit cubes that can fit inside a hemisphere is known as its volume.

We know that, the volume of a hemisphere is (2/3)πr³.

Here, volume is 2/3 ×3.14×60.7³

= 2/3 ×3.14×223648.543

= 468170.95 cubic meter

Therefore, the volume is 468170.95 cubic meter.

To learn more about the volume visit:

https://brainly.com/question/13338592.

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Answer:

i am having trouble with that too

Step-by-step explanation:

Answer:

Since we are told that the two given polygons are said to  similar, their corresponding side lengths are proportional to each other.

so to solve

(x - 3)/2.5 = 16/4

(x - 3)/2.5 = 4

Multiply both sides by 2.5

x - 3 = 4 × 2.5

x - 3 = 10

Add 3 to both sides

x = 10 + 3

x = 13

So the value of x is 13.

hope this helps

Answer:

2.5*2.5

Step-by-step explanation:

the power of 2 means multiply that many times, so you would multiply 2.5 by itself twice, or 2.5*2.5. Simplified this is 6.25

Answer:

4.78 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is

V = (1/3)πr²h.  Here, V = 31.254 cm³ and r = 2.5 cm.  

We begin by solving V = (1/3)πr²h for the unknown height, h:

         31.254 cm³              3(31.254 cm³)            93.762 cm³

h = ------------------------  =  --------------------------  =  --------------------  ≈  4.78 cm

            (1/3)πr²                       π(2.5 cm)²               19.635 cm²

Answer:

superheros

Step-by-step explanation:

area of the 8 milrs- 201.06sq miles

area of 10 miles- 314.16sq miles

subtract the 210.06 from 314.16, 104.1

so, 210.06 square miles of heros, 104.1 square miles of villians

Answer:

y = 2x + 10

Step-by-step explanation:

Find the slope:

12 - 2 / 1 - (-4)

10 / 5 = 2

Write in point-slope form:

y - 12 = 2(x - 1)

rearrange:

y - 12 = 2x - 2

y = 2x + 10

Answer:

2x+2y=49

Step-by-step explanation:

tell me if this is wrong

Answer: .8561

Step-by-step explanation: If you make them the same number by adding a 0 to .856 it would look like

.8561

.8560

Answer:

I think it would be .856

Step-by-step explanation:

0.5 is greater than 0.05. There are many ways to deduce this:

The more the # of zeroes after the decimal point the smaller the number is. Suppose there are x number of extra zeroes after the decimal point in number a than number b. Then, b is 10^x times larger than a.

Multiply both numbers by 100. we can see 0.5*100 (=50) > 0.05*100 (=5)

Fractionalize both numbers, we get 0.5=(5/10) but 0.05=(5/100). This makes 0.05<0.5

Thanks for reading. Hope this helps. And maybe can i have brainliest?

Answer:

99/150= 62/150

Step-by-step explanation:

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

Under the radical there is a perfect square, one can take the perfect square out, and write it by its square root. The result of taking the principal square root is always positive, but it is given that the perfect square factor is negative, thus, one must multiply the square root by the negative sign to ensure that the result is positive.

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

$25893

Step-by-step explanation:

Answer:

$25,893

Step-by-step explanation:

Answer:

A :) Sorry if it's wrong, I'm learning this too

Answer:

There is no work shown

Step-by-step explanation:

So you find the derivative root X you'll get 1 over 2 X to the power 1 by 2 and exactly after that you write the formula for the approximation.