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3 years ago

What is the Hypotenuse Leg Theorem?

Mathematics

1 answer:

serg [7]3 years ago

8 0

Step-by-step explanation:

<em>The hypotenuse leg theorem states that two right triangles are congruent if the hypotenuse and one leg of one right triangle are congruent to the other right triangle's hypotenuse and leg side.</em>

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A TV has a listed price of $ 682.98 before tax. If the sales tax rate is 6.25% , find the total cost of the TV with sales tax in

Drupady [299]

Answer:

725.7

Step-by-step explanation:

you multiply 682.98 x 6.25% and get 42.68625

then you add 682.98 + 42.68625 and get 725.66625

then you have to round to the nearest hundredth and get 725.7.

6 0

4 years ago

If the function y = sinx is transformed to y = 3 sine (two-thirds x), how do the amplitude and period change?

icang [17]

Answer:

Amplitude increases and the period decreases

Step-by-step explanation:

Here, we are to compare amplitude change and period change

The first equation is;

y = sin x

The second is

y = 3 sine (2/3)x

Generally, the equation of a sine graph can be written as;

y = a sin (bx + c)

where a represents the amplitude and b refers to the period

In the first equation , a = 1 while in the second , a = 3 ; This shows an amplitude increase

In the first equation, b = 1 while in the second equation b = 2/3; this shows a period decrease

7 0

3 years ago

Read 2 more answers

aniked [119]

It would be 3,330 would be ur answer

4 0

3 years ago

A survey of 35 individuals who passed the seven exams and obtained the rank of Fellow in the actuarial field finds the average s

arsen [322]

Answer:

$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

Step-by-step explanation:

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".

$\bar X=150000$ represent the sample mean

$\mu$ population mean (variable of interest)

s=15000 represent the sample standard deviation

n=35 represent the sample size

Solution to the problem

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

$df=n-1=35-1=34$

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(0.025,34)".And we see that $t_{\alpha/2}=2.032$

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

$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

3 0

4 years ago

Box A contains 7 items of which 2 are defective, and box B contains 6 items of which 1 is defective. If an item is drawn at rand

Katyanochek1 [597]

Answer:

P = 25/42

Step-by-step explanation:

We are asked to calculate the probability that if two items are selected from two different boxes, what is the probability that bought are non-defective.

In the first box A, the probability of selecting a non-defective item is 5/7

In the second box B, the probability of selecting a non-defective item is 5/6

Now the probability of selecting 2 items, one from each of the boxes and both are non-defective are as follows;

5/6 * 5/7 = 25/42

5 0

4 years ago