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Firlakuza [10]
2 years ago
11

In a large population, 81% of the households have cable tv. A simple random sample of 196 households is to be contacted and the

sample proportion computed. What is the mean and standard deviation of the sampling distribution of the sample proportions
Mathematics
1 answer:
IrinaK [193]2 years ago
4 0

Answer:

0.028

Step-by-step explanation:

Given that :

Population = Large

Household with cable TV = 81%

Sample size (n) = 196

The mean of sampling distribution (μx) = p = 81% = 81/100 = 0.81

The standard deviation of sampling distribution

Standard deviation (σ) :

σ = √[(p*(1 - p)) / n]

= √(0.81 * (1 - 0.81)) / 196

= √(0.1539 / 196)

= √0.0007852

= 0.0280214

= 0.028

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Corey has a piece of fabric that is 1/4 yard long. He cuts the length into 2 equal pieces. Write an expression for the length, i
MrRissso [65]

Answer:The length of each piece of fabric is 1/8 yards.

Step-by-step explanation:

Corey has a piece of fabric that is 1/4 yard long. He cuts the length into 2 equal pieces. This means that he cut 1/4 yards of fabric into two equal pieces.

An expression for the length, in yards, of each piece of fabric will be

Let the length of the fabric be x in yards. Also, let the length of each piece of fabric be y in yards. It becomes

y = x/2

Since x = 1/4

y =( 1/4)/ 2 = 1/4 × 1/2

y = 1/8

The length of each piece of fabric is 1/8 yards.

4 0
3 years ago
The thickness of each type of coin is shown in the table. How much thicker is a stack of a dollars worth of nickels than a dolla
il63 [147K]

Answer:

16 nickels thicker

Step-by-step explanation:

You would need 20 nickels for 1 dollar and only 4 quarters for 1 dollar.  Do 20 minus 4 and your answer is 16 nickels. The stack of nickels is 16 coins thicker. Hope this helped!

5 0
3 years ago
Consider the graph of the linear function h(x) = –x + 5. Which could you change to move the graph down 3 units?
Yakvenalex [24]
I don't see a b or an m in this function, but generally, a linear function is of the form ax+b. The b in this equation (not sure if it is the same as your b), controls the shift of the function. Lower b by 3, the graph shifts down by 3.

So unless there is a minus sign before b, it has to be lowered by 3. (If there is a minus sign, it has to be increased by 3).
6 0
3 years ago
Read 2 more answers
Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756
horsena [70]

Answer:

Plane = 441 mi/h; wind =  63 mi/h

Step-by-step explanation:

distance = rate × time

 Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

 p - w = speed against wind

We have two conditions:

(1)  756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants                  (3)    756 = 2p - 2w

                                                          (4)   756 = 1.5p + 1.5 w  

Multiply Equation (3) by 3                (5) 2268 = 6p  -  6w

Multiply Equation (4) by 4                (6) 3024 = 6p + 6w

Add Equations (5) and (6)                     5292 = 12p

Divide each side by 12                     (7)        p = 441 mi/h

Substitute (7) into Equation(3)                 756 = 882 - 2w

Add 2w to each side                      2w + 756 = 882

Subtract 756 from each side                    2w = 126

Divide each side by 2                                 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2     (2) 756 = (441 + 63) × 1.5

   756 = 378 × 2                   756 = 504 × 1.5

   756 = 756                         756 = 756

8 0
3 years ago
E) 3 - 2x = 15 <br>what is x​
Anestetic [448]

3 - 2x = 15

-2x = 15 - 3

-2x = 12

x = 12 ÷ 2

x = 6

3 0
3 years ago
Read 2 more answers
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