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3 years ago

9. The radius of a circle is 6.

Mathematics

1 answer:

Arlecino [84]3 years ago

7 0

Answer:

12,5.196

Step-by-step explanation:

given that the radius of a circle is 6.

We have any tangent drawn from outside point there will be two tangents of equal length and also the line joining point of intersection of tangent with centre of circle will bisect the angle between the tangents.

When angle between the two tangents is 60, we have the right triangle formed by radius, one tangent, and line joining point of intersection of tangent with centre of circle with angles 30,60 and 90

Hence the hypotenuse = length of line segment of tangent = 2 (radius) = 12

Part 2:

When angle between tangents is 120, we have 60,30,90 right triangle and hence length of tangent = radius * sin 60

= $6*\frac{\sqrt{3} }{2} \\=5.196$

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The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation

Lostsunrise [7]

Answer:

$ME =z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

The confidence level is 0.98 and the significance is $\alpha=1-0.98 =0.02$ and $\alpha/2 =0.01$ and the critical value using the table is:

$z_{\alpha/2}= 2.326$

And replacing we got:

$ME=2.326 \frac{425}{\sqrt{22}}= 210.760\ approx 210.76$

Step-by-step explanation:

For this case we have the following info given:

$\sigma = 425$ represent the population deviation

$n =22$ the sample size

$\bar X =1520$ represent the sample mean

We want to find the margin of error for the confidence interval for the population mean and we know that is given by:

$ME =z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

The confidence level is 0.98 and the significance is $\alpha=1-0.98 =0.02$ and $\alpha/2 =0.01$ and the critical value using the table is:

$z_{\alpha/2}= 2.326$

And replacing we got:

$ME=2.326 \frac{425}{\sqrt{22}}= 210.760\ approx 210.76$

3 0

2 years ago

vredina [299]

No, the sequence is algebraic.

7 0

3 years ago

WILL GIVE BRAINLIEST AND 30 POINTS!

nekit [7.7K]

Answer:

General admissions sold: 880

Reserved seating sold: 256

Step-by-step explanation:

Set up equation:

Variable x = people who bought general admission

Variable y = people who bought reserved seating

x + y = 1136

5x + 7y = 6192

Isolate a variable in any equation:

Y = 1136 - x

Substitute the value of the variable in the other equation:

5x + 7(1136 - x) = 6192

5x + 7952 - 7x = 6192

-2x + 7952 = 6192

-2x = -1760

x = 880

Substitute the value of x in any equation:

880 + y = 1136

y = 256

Check your work:

880 + 256 = 1136

1136 = 1136

Correct!

5(880) + 7(256) = 6192

4400 + 1792 = 6192

6192 = 6192

Correct!

6 0

2 years ago

Shawna and her best friend Keisha go shopping. The function p(t) = 3x +2x-4x2+ 21 represents how much money each girl spent base

NNADVOKAT [17]

Answer:

$\$30$

Step-by-step explanation:

we have

$p(t)=3x+2x-4x^{2}+21$

<em>Find the amount of money that each girl spent</em>

For t= 2 hours

$p(2)=3(2)+2(2)-4(2)^{2}+21$

$p(2)=10-16+21$

$p(2)=\$15$

<em>Find the amount of money that they spend together</em>

Multiply by 2 the amount of money that each girl spent

$(2)\$15=\$30$

3 0

3 years ago

A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl

True [87]

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that $\mu = 0.6h$ , in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that $h = 8, \mu = 0.6(8) = 4.8$ .

The probability is P(X = 4).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203$

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

5 0

3 years ago