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3 years ago

HELP Find the radius of the circle whose equation is (x + 5)² + (y + 8)² = 16 4 16 256

Mathematics

2 answers:

maw [93]3 years ago

8 0

The radius is the square root of 16. So 4.

BabaBlast [244]3 years ago

4 0

$\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad 
radius=\stackrel{}{ \boxed{r}}\\\\
-------------------------------\\\\
(x+5)^2+(y+8)^2=16\implies (x+5)^2+(y+8)^2=\boxed{4}^2$

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The amount of money spent on textbooks per year for students is approximately normal.

Ostrovityanka [42]

Answer:a

$336.04 < \mu < 443.96$

The margin of error will increase

The margin of error will decreases

The 99% confidence interval is $0.4107 < p < 0.4293$

Step-by-step explanation:

From the question we are told that

The sample size $n = 19$

The sample mean is $\= x = \$\ 390$

The standard deviation is $\sigma = \$ \ 120$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.96 * \frac{120}{\sqrt{19} }$

=> $E = 53.96$

The 95% confidence interval is

$\= x - E < \mu < \= x + E$

=> $390 - 53.96 < \mu < 390 - 53.96$

=> $336.04 < \mu < 443.96$

When the confidence level increases the $Z_{\frac{\alpha }{2} }$ also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

$n \ \ \alpha \ \ \frac{1}{E^2 }$

So if the sample size increases the margin of error decrease

The sample proportion is mathematically represented as

$\r p = \frac{210}{500}$

$\r p = 0.42$

Given that the confidence level is 0.99 the level of significance is $\alpha = 0.01$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }* \sqrt{ \frac{\r p (1- \r p )}{n} }$

=> $E = 0.42 * \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }$

=> $E = 0.0093$

The 99% confidence interval is

$\r p - E < p < \r p + E$

$0.42 - 0.0093 < p < 0.42 + 0.0093$

$0.4107 < p < 0.4293$

4 0

4 years ago

The length of the term is one year. Calculate the principal if the maturity value is $4,500 and the simple interest is $350.

taurus [48]

Answer:

Easy! The answer is $4,150

Step-by-step explanation:

The $350 is interest so we will take that away from the maturity value to get 4,150!

<u><em>mark BRAINLIEST IF YOU THINK I HELPED</em></u>

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3 years ago

Maureen owns three bagel shops. Each shop sells 500 bagels per day. Maureen asks her store managers to use a random sample to se

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Answer:

In complete questions, the completed question is in ask details

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Then, Both shop A and shop B sample space is large enough to give a reasonable valid inference

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4 years ago

Please help me with this please.

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Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

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Vesna [10]

Answer:

Step-by-step explanation:

sub in the letters with the given number in brackets

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