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Nuetrik [128]
2 years ago
8

DUE TODAY‼️‼️ PLEASE HELP SLOVE DO NOT COMMENT ANNOYING STUFF THIS IS SERIOUS‼️‼️

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
7 0

5.)10

6.)9

7.)Linear

8.)Linear

9.)Non linear

10.)Non linear

Step-by-step explanation:

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Of 97 adults selected randomly from one city, 63 have health insurance. Create a 95% confidence interval for the true proportion
Flura [38]

Answer: 95% confidence interval would be (0.555,0.745).

Step-by-step explanation:

Since we have given that

n = 97

x = 63

So, we get that

\hat{p}=\dfrac{x}{n}=\dfrac{63}{97}=0.65

At 95% confidence interval , z = 1.96

so, Margin of error would be

z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.65\times 0.35}{97}}\\\\=0.095

So, interval would be

p\pm 0.095\\\\=0.65\pm 0.095\\\\=(0.65-0.095,0.65+0.095)\\\\=(0.555,0.745)

Hence, 95% confidence interval would be (0.555,0.745).

5 0
2 years ago
She records the number of hours of TV watched for her 6 students. The times are: 4.4, 2.5, 5.5, 2.8, 4.8, and 4.0.
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3 years ago
What's the equation of the line that's a perpendicular bisector of the segment connecting C (6, –12) and D (10, –8)? answers: A)
vitfil [10]

Answer:

A

Step-by-step explanation:

Perpendicular bisector of a line divides the line into 2 equal parts and it is perpendicular to the line.

First let's find the midpoint of CD. The point is where the perpendicular bisector will cut through the line.

midpoint= ( \frac{x1 + x2}{2} ,  \frac{y1 + y2}{2} )

Thus, midpoint of CD

= ( \frac{6 + 10}{2} , \frac{ - 12 - 8}{2} ) \\  = ( \frac{16}{2} , \frac{ - 20}{2} ) \\  = (8, - 10)

Gradient of line CD

=  \frac{y1 - y2}{x1 - x2}  \\  =  \frac{ - 12 -  ( - 8)}{6 - 10}  \\  =  \frac{ - 12 + 8}{ - 4} \\  =  \frac{ - 4}{ - 4}  \\  = 1

The product of the gradients of perpendicular lines is -1.

gradient if perpendicular bisector(1)= -1

gradient of perpendicular bisector= -1

y=mx +c, where m is the gradient and c is the y-intercept.

y= -x +c

Subst a coordinate to find c.

<em>Since the perpendicular bisector passes through the point (8, -10):</em>

When x=8, y= -10,

-10= -8 +c

c= -10 +8

c= -2

Thus, the equation of the perpendicular bisector is y= -x -2.

5 0
3 years ago
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