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slamgirl [31]
3 years ago
5

In a random sample of 75 individuals, 52 people said they prefer coffee to tea. 99.7% of the population mean is between 84/80/74

% and 64/58/54%. (Choose the option closest to your answer.)
Mathematics
1 answer:
myrzilka [38]3 years ago
7 0
84 and 54 are your answers
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x=12

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tickets to a play cost $11 each. There is also a service charge of $4 per order. Write ab equation for the relationship that giv
MA_775_DIABLO [31]
Y+(11•X)+4

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4 years ago
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Question 3 of 10
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The level of nitrogen oxides (nox) in the exhaust after 50,000 miles or fewer of driving of cars of a particular model varies no
mina [271]
<span>Answer: 0.533</span>

Explanation: Note that

x \ \textgreater \ I \\ \Leftrightarrow x - 0.3 \ \textgreater \ I - 0.3 \\ \\ \Leftrightarrow \boxed{\frac{x - 0.3}{0.1} \ \textgreater \ \frac{I - 0.3}{0.1}} (1) 

Let

z_1 = z-score for I.
z_2 = z-score for x. 

The formula for z-score is given by

\text{z-score} = \frac{(\text{data point}) - (\text{mean})}{(\text{standard deviation})}

So,

z_2 = \frac{x - 0.3}{0.1}

z_1 = \frac{I - 0.3}{0.1}

Based on inequality in (1), 

z_2 > \  z_1 

So, 

P(x \ \textgreater \  I) = 0.01&#10;\\&#10;\\ \Leftrightarrow P \left (\frac{x - 0.3}{0.1} \ \textgreater \ \frac{I - 0.3}{0.1}  \right ) = 0.01 &#10;\\&#10;\\ \Leftrightarrow P(z_2 \ \textgreater \  z_1) = 0.01&#10;\\&#10;\\ \Leftrightarrow 1 - P(z_2 \leq z_1) = 0.01&#10;\\&#10;\\ \Leftrightarrow \boxed{P(z_2 \leq z_1) = 0.99}

Since z_1 and z_2 are z-scores and the level of nitrogen oxides are normally distributed, using normal distribution calculator (or table), 

z_1 = 2.326&#10;\\&#10;\\ \Leftrightarrow \frac{I - 0.3}{0.1} = 2.326&#10;\\&#10;\\ \Leftrightarrow I - 0.3 = 0.1(2.326)&#10;\\&#10;\\ \Leftrightarrow I - 0.03 = 0.2326&#10;\\&#10;\\ \Leftrightarrow \boxed{I \approx 0.533}



4 0
4 years ago
Simplify the rational expression: <br> 4a²-36/24-8a<br><br> (__/2)
Pavlova-9 [17]

Answer:

  • - (a + 3) / 2

Step-by-step explanation:

  • (4a² - 36)/(24 - 8a) =
  • 4( a² - 9) /8(3 - a) =
  • ( a² - 9) /2(3 - a) =
  • (a + 3)(a - 3)/2(3 - a) =
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  • - (a + 3) / 2
3 0
3 years ago
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