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Zarrin [17]
3 years ago
9

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 678 babies were​ born, a

nd 339 of them were girls. Use the sample data to construct a ​99% confidence interval estimate of the percentage of girls born. Based on the​ result, does the method appear to be​ effective?
Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer:

We are 99% confident that the true proportion of female babies is captured by the interval from

0.8001

to

0.8999

.

Step-by-step explanation:

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A manufacturing company produces engines for light aircraft . The graph shows the number of engine produced each year since the
photoshop1234 [79]

Answer:

y=13x+32

149 engines in 9th year

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph

  • (x1, y1) = (2,60)
  • (x2, y2) = (5,99)

The standard form of a linear equation is:

y = mx + b where:

  • m is the slope
  • b is the y-intercept

We know the slope of the function can be found as following:

m = \frac{y2 - y1}{x2 - x1}  so in this situation we have:

<=> m=\frac{99-60}{5-2}=\frac{39}{3}=13

=> y = 13x + b (1)

Because the line goes through point  (2,60) so we substitute it into (1):

60 = 13*2 + b

<=> b = 60 - 26 = 34

=> y = 13x + 34

Now we will substitute x=9 to find the engines produced by company in 9th year as:

y=13(9)+32\\y=117+32=149

Hence, the company will produce 149 engines in 9th year

6 0
3 years ago
Determine if the given sequence is an arithmetic sequence. If it is, identify the common difference.
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Answer:

Is this an arithmetic sequence?

Yes.

Is there a common difference and if so, what is it?

Yes, there is a common difference : 1

The common difference is 1

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The shortest distance from a point to a straight line is the measurement of the line segment which connects the point to the straight line. This line segment should be perpendicular to the line and is thus called the perpendicular distance. 

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The factored form for this question is (5x-1)(x-5)
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