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marta [7]
3 years ago
11

Many people who bought Z-Game gaming systems over the holidays have complained that the systems they purchased were defective. I

n a sample of 1200 units sold, 18 units were defective. Determine the upper limit for the 95% confidence interval for the population proportion. Round your answer to three decimals.
Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0

Answer:

The upper limit for the 95% confidence interval for the population proportion of defective gaming systems is 0.022

Step-by-step explanation:

Upper Limit for 95% Confidence Interval can be calculated using p+ME where

  • p is the sample proportion of defective gaming systems (\frac{18}{1200} = 0.015)
  • ME is the margin of error from the mean

and margin of error (ME) around the mean can be found using the formula

ME=\frac{z*\sqrt{p*(1-p)}}{\sqrt{N} } where

  • z is the statistic of 95% confidence level (1.96)
  • p is the sample proportion (\frac{18}{1200}=0.015
  • N is the sample size (1200)

Using the numbers we get:

ME=\frac{1.96*\sqrt{0.015*0.985}}{\sqrt{1200} } ≈ 0.007

Then upper limit for the population proportion is 0.015+0.007 =0.022

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You are biking to the park. After six minutes 40% of the distance still need to be traveled. How long does it take to bike to th
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Answer:

y = (100-10x)\%

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Step-by-step explanation:

Given that:

Time taken = 6 minutes

Distance left to be traveled = 40%

To find:

The equation to represent the distance y, that still needs to be traveled after x minutes.

Solution:

As per given statement, distance traveled in 6 minutes = 60%

We can say that:

Distance traveled each minute = \frac{60\%}{6} = 10%

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After 2 minutes, distance traveled = 20%

Distance left = 100 - 20 = 80%

After x minutes, distance traveled = 10x%

Distance left, y = (100 - 10x)%

Therefore, the equation is:

y = (100-10x)\%

Time taken by the bike to reach to the park can be found by putting y = 0 (i.e. distance left to be traveled = 0)

0 = 100 -10x\\\Rightarrow 10x = 100\\\Rightarrow x = \bold{10\ minutes}

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3 years ago
Please select the best answer from the choices provided<br>A<br>B<br>C<br>D​
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Answer:

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Step-by-step explanation:

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Kennedy and Olivia go to the movie theater and purchase refreshments for their friends.
Anvisha [2.4K]

Answer:

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Step-by-step explanation:

Let the price  of popcorn be x

Let the price  of drink be y.

price  of  12 bags of popcorn will be 12x

price  of  2 drinks  will be 2y

it is given that "Kennedy spends a total of $77.50 on 12 bags of popcorn and 2 drinks."

thus

12x + 2y = 77.50

dividing LHS and RHS by 2 we have

12x/2 + 2y/2 = 77.50/2

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__________________________________________________

price  of  3 bags of popcorn will be 3x

price  of  6 drinks  will be 6y

it is given that "Olivia spends a total of $51.00 on 3 bags of popcorn and 6 drinks."

thus

3x + 6y = 51.00

dividing LHS and RHS by 3 we have

3x/3 + 6y/3 = 51/3

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Thus we have two equation

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using 5.75 in place of y

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Thus, system of equations are

6x + y = 38.75

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