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3 years ago

Find the critical value za/2 that corresponds to a 82% confidence level.

1 answer:

6 0

Finding critical value of Z at 82% confidence level:

Step 1: α% = 100%-82% = 18%
Step 2: α = 18% = 0.18
Step 3: α/2 = 0.18/2 = 0.09
Step 4: 1- α/2 = 1-0.09 = 0.91
Step 5: Critical value of Z at 82%confidence level = Z at 0.91 (from Z tables) ≈ 1.34

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4 years ago

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Plz help. What are the coordinates of the fourth vertex of parallelogram ABCD? D ( __ , __ )

pashok25 [27]

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3 years ago

Suppose a circle with center (14, 9) passes through point (16, 12). Which equation represents the circle?

kumpel [21]

Answer:

The equation that represents the circle is $(x-14)^{2}$ + $(y-9)^{2}$ = 13

Step-by-step explanation:

Given the center of circle (14,9) passes through point (16,12)

We know that the equation of circle is

$(x-h)^{2}$ + $(y-k)^{2}$ = $r^{2}$

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

From given data (x,y) is (16,12) and (h,k) is (14,9). Substituting these values in equation of circle, we get

$(16-14)^{2}$ + $(12-9)^{2}$ = $r^{2}$

$r^{2}$ = $2^{2}$ + $3^{2}$

$r^{2}$ = 13

Substituting the values of (h,K) and $r^{2}$ as (14,9) and 13 respectively in equation of circle, we get

$(x-14)^{2}$ + $(y-9)^{2}$ = 13

Hence the equation that represents the circle is $(x-14)^{2}$ + $(y-9)^{2}$ = 13

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3 years ago

Alberto bought his bicycle for$275. He sold for $350. What was the amount of his Percentage profit?

juin [17]

Answer:

Step-by-step explanation:

$350 -$275= $75 profit

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3 years ago

Determine the coordinates of the corners of the rectangle to compute the area using

inysia [295]

Answer:

77.93

Step-by-step explanation:

#We can simply read off the x,y coordinates directly from the graph.

$i. [1,8]\\\\ii. [4,5]\\\\iii. \ [14,21]\\\\iv.\ \ \ [17,18]$

#we know that a rectangle has pair of two equal sides. To calculate the area, we determine the dimension of any un-equal two sides:

#Using Pythagorean Theorem:

$\#Use \ ii \ and \ iv \ to \ calculate \ length.\\\\a^2+b^2=c^2\\\\(17-4)^2+(18-5)^2=l^2\\\\l=18.38\\\\\#Use \ i \ and \ ii \ to \ calculate \ width.\\\\a^2+b^2=c^2\\\\(4-1)^2+(8-5)^2=w^2\\\\w=4.24$

We can therefore calculate area as:

$A=lw\\\\=18.38\times 4.24\\\\=77.93$

Hence, the area of the rectangle is 77.93

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3 years ago