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SCORPION-xisa [38]
3 years ago
14

Solve the equation. -36=-6(2x-14)

Mathematics
1 answer:
Savatey [412]3 years ago
6 0

Answer:

x= 10

Step-by-step explanation:

-36= -6(2x-14) distribute the 6  

-36= -12x+84 subtract 84 from both sides

-120= -12x divide by -12

x= 10


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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
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timama [110]

Answer:

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3 years ago
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gizmo_the_mogwai [7]
In side the triangle.  Each median is split in the ratio 2:1 by the intersection.
6 0
3 years ago
Which is the most accurate way to estimate 25% of 53?
Alex Ar [27]
You can calculate them out and check which one is the most accurate

so if one of the choices was 1/3 of 50, then you would do:
1/3 in the calculator (should be 0.333...) times 50

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8 0
4 years ago
A rectangle has a length of 3.6 in, and a perimeter of 16.8 in.
zhannawk [14.2K]

Answer:

Width = 4.8 inches

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

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Where

P is perimeter

l is length

w is width

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Hence, the width is 4.8 inches

3 0
3 years ago
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