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2 years ago

Find x. Do not round your answer 12 cm 6 cm 5 cm

Mathematics

1 answer:

Artyom0805 [142]2 years ago

7 0

The value of x from the given diagram is 16.6

<h3>Secant-secant theorem</h3>

In order to determine the value of x from the given figure, we will use the secant-secant theorem shown by the equation.

(6 +12) * 6 = (5 + x) * 5

Expand

36+72 = 25 + 5x

108 = 25 + 5x

5x = 108 - 25

5x = 83

x = 83/5

x = 16.6

Hence the value of x from the given diagram is 16.6

Learn more on secant-secant theorem here: brainly.com/question/26826991

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Find the average rate of change for the function f(x)=32 + 25

mixas84 [53]

given the function, there is no independent variable, x. Because of that your equation remains constant at the y axis, where you get f(x)=57. This means that for any input of x you’ll get 57 as the output. Because youre looking for average rate of change, you would use delta y/ delta x.

(2,57) and (6,57)

When you solve for change between the y and x, you get (57-57)/(6-2
) which ultimately gives you an average rate of change of 0.

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3 years ago

If you were to give someone advice and how to succeed an online math course, what would you say? Write a short paragraph offerin

mamaluj [8]

Well what I would say, is that you should figure out all the online stuff out, and after that, you should try your best to get A's in the course.

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3 years ago

The mean cost of a meal for two in a mid-range restaurant in Tokyo is $40 (Numbeo.com website, December 14, 2014). How do prices

NNADVOKAT [17]

Answer:

a) $Me=2.02 \frac{6.827}{\sqrt{42}}=2.13$

b) So on this case the 95% confidence interval would be given by (30.53;34.79)

c) On this case the confidence interval not contains the price $40, so we can conclude that the prices for Hong Kong mid-range restaurants are significant less than the prices for mid range restaurants in Tokyo at 5 % of significance.

Step-by-step explanation:

1) Previous concepts

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".

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

2) Part a

The margin of error is given by:

$Me=t_{\alpha/2}\frac{s}{\sqrt{n}}$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=42-1=41$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,41)".And we see that $t_{\alpha/2}=2.02$

$Me=2.02 \frac{6.827}{\sqrt{42}}=2.13$

3) Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=32.66$

The sample deviation calculated $s=6.827$

Now we have everything in order to replace into formula (1):

$32.66-2.02\frac{6.827}{\sqrt{42}}=30.532$

$32.66+2.02\frac{6.827}{\sqrt{42}}=34.788$

So on this case the 95% confidence interval would be given by (30.532;34.788)

4) Part d

On this case the confidence interval not contains the price $40, so we can conclude that the prices for Hong Kong mid-range restaurants are significant less than the prices in mid range restaurants in Tokyo at 5 % of significance.

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3 years ago

Kasey has a job that pays $865 per week. How much is withheld from each paycheck for Social Security?

d1i1m1o1n [39]

Answer:

$53.63

Step-by-step explanation:

I believe the answer is $53.63 because you multiply 865 by 6.2% (.062) which gives you $53.63.

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4 years ago

Brianna writes 4×11 to show the number 44 as a product of its prime factors.Does her answer make sense? Explain your reasoning.

PilotLPTM [1.2K]

It does not make sense, because 4 is not a prime number. If it would have been 2*2*11 then it would have been correct.

3 0

3 years ago

Read 2 more answers