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Ber [7]
3 years ago
14

(4) need help and the answer

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
3 0
OK well it would be A But then it would be C but A & C Are Wrong so it Would be D

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According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a
Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, \mu = 2.58 and Standard deviation, \sigma = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

             Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar \leq 2.50)

P(Xbar < 2.66) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } } ) = P(Z < -1.68) = 1 - P(Z  1.68)

                                                              = 1 - 0.95352 = 0.04648

P(Xbar \leq 2.50) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }  ) = P(Z \leq  -3.92) = 1 - P(Z < 3.92)

                                                              = 1 - 0.99996 = 0.00004  

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0
3 years ago
WILL GIVE BRAINLIEST!!!!
Firdavs [7]
126 I hope that this is correct answer
3 0
3 years ago
Suppose that the number of cars manufactured at an automobile plant varies Jointly as the number of workers and the time they wo
12345 [234]

Answer:

It takes 33 hours to produce 66 cars.

Step-by-step explanation:

When dividing 220 workers buy the amount of cars produced the amount of time spent on making 66 cars is 33 hours.

Easier Explaination:

Divide the amount of workers to the cars produced to find out how many hours it takes.

7 0
3 years ago
(4y 2 – 5y) + (3y – 7y 2) – (2y 2 + 6y – 5)<br> Simplify.
Elan Coil [88]
<span>Equation at the end of step  1  :</span><span><span> (((4•(y2))-5y)+(3y-(7•(y2))))-((2y2+6y)-5) </span><span> Step  2  :</span></span><span>Equation at the end of step  2  :</span><span><span> (((4•(y2))-5y)+(3y-7y2))-(2y2+6y-5) </span><span> Step  3  :</span></span><span>Equation at the end of step  3  :</span><span> ((22y2 - 5y) + (3y - 7y2)) - (2y2 + 6y - 5) </span><span> Step  4  :</span><span> Step  5  :</span>Pulling out like terms :

<span> 5.1 </span>    Pull out like factors :

  <span> -5y2 - 8y + 5</span>  =  <span> -1 • (5y2 + 8y - 5)</span> 



I hope tht help

4 0
3 years ago
The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of
Lilit [14]

Check the picture below.

\bf (\stackrel{a}{1}~,~\stackrel{b}{-1})\qquad \impliedby \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{1^2+(-1)^2}\implies c=\sqrt{2} \\\\[-0.35em] ~\dotfill

\bf sin(\theta ) \implies \cfrac{\stackrel{opposite}{-1}}{\stackrel{hypotenuse}{\sqrt{2}}}\implies \cfrac{-1}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies -\cfrac{\sqrt{2}}{(\sqrt{2})^2}\implies -\cfrac{\sqrt{2}}{2}

\bf cos(\theta ) \implies \cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{\sqrt{2}}}\implies \cfrac{1}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{\sqrt{2}}{(\sqrt{2})^2}\implies \cfrac{\sqrt{2}}{2} \\\\\\ tan(\theta ) = \cfrac{\stackrel{opposite}{-1}}{\stackrel{adjacent}{1}}\implies tan(\theta ) = -1

7 0
3 years ago
Read 2 more answers
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