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kondor19780726 [428]
3 years ago
11

When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey t

o be 95% confident that the population proportion is estimated to within 0.04
Mathematics
1 answer:
Vlada [557]3 years ago
6 0

Answer: 601

Step-by-step explanation:

The formula to find the minimum sample size(n) , if the prior population proportion is unknown:

n=0.25(\dfrac{z^c}{E})^2, where E = margin of error , z^c = critical z-value for confidence level c.

Given : E  = 0.04

Z-value for 95% confidence = 1.96

So, the minimum sample size required = 0.25(\dfrac{1.96}{0.04})^2=0.25(49)^2

= 0.25\times 2401=600.25\approx601

Hence, the minimum sample size required = 601

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How to write the ratio of the amount of time spent playing video games to the amount of time spent watching television
Pani-rosa [81]

Both values need to be in the same usable form. So, I would convert the two values into minutes. That leaves you 10 minutes of video games and 60 minutes of television. This ratio would be 10/60 or 10:60. Simplified would be 1/6 or 1:6.

3 0
3 years ago
-6x+5y=1 and 6x+4y=10.substitution
nexus9112 [7]

Answer:

(23/27, 11/9)

Step-by-step explanation:

Given the simultaneous equation;

-6x+5y=1..... 1

6x+4y=10.... 2

Add both equations

5y + 4y = 1+10

9y = 11

y = 11/9

Substitute y = 11/9 into 1;

From 1;

-6x+5y=1.

-6x + 5(11/9) = 1

-6x + 55/9 = 1

-6x = 1- 55/9

-6x = (9-55)/9

-6x = -46/9

x = -46/-54

x = 23/27

The solution to the system of equation is (23/27, 11/9)

8 0
3 years ago
Select the correct answer.
Fofino [41]

Answer:

hihigigigigigigigi

4 0
3 years ago
How much does a customer save for buying a sound system marked $1,200 at a discount of 15%​
kramer

Answer:

Step-by-step explanation:

Mp=$1200

Let sp be x

SP=MP-discount% of MP

x=1200-15/100 * 1200

x=120000-18000/100

x=102000/100

x=1020

the amount of money person saves=MP-SP

=$1200-$1020

=$180

therefore he saves $180

7 0
3 years ago
If a cube with a 5-in side length is sliced in half. What is the surface area of the two pieces?
nydimaria [60]

 Hello there!

1.) To start, first know that a cube has the same height, length, and width, meaning that all of the dimensions are 5-in. Then, when you slice it in half, this would mean that you have now reduced the width to half of its original. This would mean that the width is now 2.5 while the height and length remain 5.

Now that you have this information, you can now find the surface area by using this formula:

A= 2lw+2lh+2hw

Now plug in your values:

A=2(5)(2.5)+2(5)(5)+2(5)(2.5)

This would simplify to:

A=25+50+25

A=100 in squared

Therefore, the surface area of the two pieces are 100 inches squared.

2.) To start, first plug the measurements of the tank into the cylinder volume formula:

V=\pir^2h

V=\pi(2.75)^2(10)

V= 237.58 cubic feet

Now, we must find how long it will take the tank to empty if the rate is 3.7 cubic feet per minute so divide the volume (in feet) by the rate:

237.58/3.7= 64.2108...

Rounded to the nearest hundredth, it would take approximately 64.21 minutes to empty the take when it is full.

:)

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7 0
4 years ago
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