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inna [77]
4 years ago
5

Using a straightedge and a compass, which construction is being performed in the picture provided? A a line perpendicular to a l

ine for a given point on the line B a line perpendicular to a line from a given point outside of the line C a line parallel to the given line through a point outside of the line D a perpendicular bisector of a segment

Mathematics
1 answer:
Ierofanga [76]4 years ago
7 0

Answer:

pls answer my questions

fast I need. ......

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Jensen wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.75 square feet
Ber [7]
The third choice, 4x²+18x+0.25=0, is correct.

The frame will have the same thickness on both sides of the mirror.  Therefore we add 5+x+x to get the total length, and we have 4+x+x to get the total width. 

The area is found by multiplying the total width and total length:

A=(5+x+x)(4+x+x)
A=(5+2x)(4+2x)

Multiplying the binomials, we have:
A=5*4+5*2x+2x*4+2x*2x
A=20+10x+8x+4x²
A=20+18x+4x²

We know that the area is 19.75:
19.75=20+18x+4x²

We need quadratics set equal to 0, so subtract 19.75 from each side:
19.75-19.75 = 20+18x+4x²-19.75
0=0.25+18x+4x²


In standard form, it will be:
4x²+18x+0.25=0
6 0
4 years ago
7/8=?/48<br> A.42<br> B.13<br> C.1<br> D.6
Papessa [141]
The answer to the question is A.) 42
6 0
3 years ago
A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c
Anna [14]

Answer:

The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

      E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }    

Here assume that Z_{\frac{\alpha }{2} } \ and \  \sigma \ is constant so

     E =  \frac{k}{\sqrt{n} }

=>  E \sqrt{n} = K

=>   E_1 \sqrt{n}_1 =  E_2 \sqrt{n}_2

So  let  n_1 = 400 and n_2 =  100

=>   E_1 \sqrt{400} =  E_2 \sqrt{100}

=>  E_1 =  \frac{\sqrt{100} }{\sqrt{400} } E_2

=>  E_1 =  \frac{1}{2 } E_2

So From this we see that  the confidence interval for a sample size of 400 will be half that with a sample size of 100

   

     

   

7 0
3 years ago
A random variable is ______________ whenever the probability is proportional to the interval’s length
evablogger [386]
A random variable is UNIFORMLY DISTRIBUTED whenever the probability is proportional to the interval's length.
4 0
3 years ago
In problems below, (a) identify the independent variable and the dependent variable of each equation (use 't' for the independen
7nadin3 [17]

Step-by-step explanation:

The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature

8 0
3 years ago
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