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svetoff [14.1K]
3 years ago
10

4.

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0
I would say it’s A....
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Logarithmic for of 10^3 = 1000
aivan3 [116]

log10 1000 = 3 or log 1000 = 3

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PLZ HELP ASAP FEATURES OF A CIRLE FROM EXPANDED EQUATION
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First we need to convert the given equation to standard form, only then we can find the center and radius of the circle.

x^{2} + y^{2} +18x+14y+105=0 \\  \\ 
 x^{2} +18x+ y^{2}+14y=-105 \\  \\ 
 x^{2} +2(x)(9)+ y^{2}+2(y)(7)=-105 \\  \\ 
x^{2} +2(x)(9)+ 9^{2} + [y^{2}+2(y)(7)+7^{2}]  =-105+9^{2}+7^{2}  \\  \\ 
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The standard equation of circle is:

(x-a)^{2} + (y-b)^{2}= r^{2}

with center (a,b) and radius = r

Comparing our equation to above equation, we can write

Center of circle is (-9, -7) and radius of the given circle is 5 
8 0
3 years ago
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an
Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a)    10% of all adult Americans support the changes

Here, np>5\ and\ n(1-p)>5

And , p=0.10

So, consider the equality, to find the value of 'n'.

np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50

So, there are 50-35=15 more adult Americans needed.

(b)   15% of all adult Americans supports the changes

Here, p=0.15

So, again we get that

np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34

So, there are 35-34=1 more adult Americans needed.

Hence, a) 15, b) 1.

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Answer:

45 percent /100 percent

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Ivanshal [37]

composite numbers less than 12={1,3,4,6,8,9,10}

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3 years ago
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