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ki77a [65]
3 years ago
12

I need help on 8 and 9 please

Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer:

8. corresponding angles 9. b. 238

Step-by-step explanation:

corresponding angles because it holds the same relative position as the other angle

angle 8 is the same angle as angle 4 so take 119 multiply by 2 equals 238

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What’s the answer? I can’t divide anything if it’s just x. Example: 12x+24x+30 = 467. Then you can just divide the numbers after they are added up to see what x equals. 30 and 24x + 12x won’t go together because they have x, 30 doesn’t. Move your x’s to Texas.
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Describe two methods for finding the sale price of an item that is discounted 30%. which method do you prefer? Explain.
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One can take the price of the item before the discount is applied and subtract that from  the percentage off and get the cost of the item. 

I find this is the most effective way. 

another method could be if one turned the percentage into a decimal it could be subtracted from the cost of the item.
6 0
3 years ago
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The heights of 40 randomly chosen men are measured and found to follow a normal distribution. An average height of 175 cm is obt
AVprozaik [17]

Answer:

95% two-sided confidence interval for the true mean heights of men is [168.8 cm , 181.2 cm].

Step-by-step explanation:

We are given that the heights of 40 randomly chosen men are measured and found to follow a normal distribution.

An average height of 175 cm is obtained. The standard deviation of men's heights is 20 cm.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

                             P.Q. = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample average height = 175 cm

            \sigma = population standard deviation = 20 cm

            n = sample of men = 40

<em>Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.</em>

So, 95% confidence interval for the true mean, \mu is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5%

                                     level of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 1.96) = 0.95

P( -1.96 \times }{\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < 1.96 \times }{\frac{\sigma}{\sqrt{n} } } ) = 0.95

P( \bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for </u>\mu = [ \bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } } , \bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } } ]

                                            = [ 175-1.96 \times }{\frac{20}{\sqrt{40} } } , 175+1.96 \times }{\frac{20}{\sqrt{40} } } ]

                                            = [168.8 cm , 181.2 cm]

Therefore, 95% confidence interval for the true mean height of men is [168.8 cm , 181.2 cm].

<em>The interpretation of the above interval is that we are 95% confident that the true mean height of men will be between 168.8 cm and 181.2 cm.</em>

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The circumference of the circle would be 18.5pi.
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4 years ago
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