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katen-ka-za [31]
3 years ago
9

Draw and label the circle given by the equation (x - 5 + y + 10 = 6^2​

Mathematics
1 answer:
Oxana [17]3 years ago
7 0

Answer:

See attachment for circle

Step-by-step explanation:

Given

(x -5)^2 + (y + 10)^2 = 6^2

Required

Draw and label the circle

The equation of a circle is:

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

Where:

Center = (a,b)

Radius = r

So, we have:

Center = (5,-10)

Radius = 6

<em>See attachment for circle</em>

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Answer:

x =45 and y = 23

Step-by-step explanation:

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3 years ago
Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

5 0
3 years ago
Determine whether the congruence is true or false.<br> 12 ≡ 10 mod 5
dolphi86 [110]

Answer:

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Step-by-step explanation:

Given : Expression 12 \equiv 10 \mod 5

To find : Determine whether the congruence is true or false ?

Solution :

The congruence is in the form x\mod y\equiv r

where, x is the dividend

y is divisor

r is the remainder

So, We find  10 \mod 5

We know, 10 is completely divide by 5 and we get quotient is 2 and remainder is 0.

10 \mod 5=0

As 0\neq 12

Therefore, The given congruence is false.

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3 years ago
PLS HELP! trig. 15 pts!!
Black_prince [1.1K]

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Step-by-step explanation:

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2 years ago
What is the product of 18 and 5 less than a number 162?
kondor19780726 [428]
5 less than 162=162-5
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