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3 years ago

I NEED HELP WITH BOTH OF THESE

Mathematics

1 answer:

Marianna [84]3 years ago

6 0

Answer:

first one is C

the second it is A

Step-by-step explanation:

the equation of a circle=(x-h)^2 + (y-k)^2 = r^2

h and k are the coordinate of the origin of a circle

to find the origin which is the midpoint of the diameter which has end points

(9,1) and (1,9)

h=9+1/2 = 10/2=5

k=9+1/2 = 10/2=5

(x-5)²+(x+5)²=r²

find r which is the half distance of the diameter

d of diameter : √(x2-x1)²+(y1-y2)²

d=√(9-1)²+(1-9)²

d=√8²+8²=8√2

radius=8√2/2=4√2

(x-5)²+(x+5)²=r²

(x-5)²+(x+5)²=(4√2)²

(x-5)²+(x+5)²=32

TR>TS the sides RS and TS are congruent opposite angles are equal.

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Answer:

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3 years ago

A polymer is manufactured in a batch chemical process. Viscosity measurements show that it is approximately normally distributed

PilotLPTM [1.2K]

Answer: (751.05, 766.95)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :-

$\overline{x}\pm z*\dfrac{\sigma}{\sqrt{n}}$ ,

where $\sigma$ =population standard deviation.

$\overline{x}$ = sample mean

n= sample size

z* = Two-tailed critical z-value.

Given : $\sigma= 20$

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$\overline{x}=759$

We know that from z-table , the two-tailed critical value for 99% confidence interval : z* =2.576

Now, the 99% confidence interval around the true population mean viscosity :-

$759\pm (2.5760)\dfrac{20}{\sqrt{42}}\\\\=759\pm (2.5760)(3.086067)\\\\=759\pm7.9497=(759-7.9497,\ 759+7.9497)\]\\=(751.0503,\ 766.9497)\approx(751.05,\ 766.95)$