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1 year ago

If 2^x=3^y=12^z,prove that 2/x + 1/y - 1/z

Mathematics

1 answer:

kakasveta [241]1 year ago

6 0

Answer:

A square fishpond has a solid, fixed circular pillar in its center. the measurements are 3m and 4m. The circular island has a diameter of 1 meter what is the volume of water that will fill the pond to its brim

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Which name correctly classifies this triangle? A. right B. obtuse C. acute

sergejj [24]

Hello there!

The would be a (right angle) because this angle is not greater than, or less than 90°.

Your correct answer would be the first option. (right angle).

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3 years ago

Can someone pls help me

Agata [3.3K]

Answer:

A triangle

Step-by-step explanation:

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3 years ago

Need help with this question regarding functions. :)

Tanzania [10]

The Y-intercept is found when X is equal to 0.

In the table, when X is 0, f(x) is 1.

On the graph, when X is 0 the line crosses at Y = 1.

This means that they are equal.

The answer would be equal to.

4 0

3 years ago

Two important ingredients for baking bread are yeast and flour. To make a loaf of bread of at most 30 servings, maintain a yeast

IceJOKER [234]

Answer:

If 0.25 oz of yeast is used, then 50oz of flour is needed.

It would require 0.5 oz of yeast for 90 oz the flour.

Step-by-step explanation:

We know that the proportion of yeast (y) and flour (f) is 1: 200 when a maximum of 30 servings of bread is made. This is:

$\frac{y}{f} = \frac{1}{200}$

So if we use 0.25 oz of yeast:

$y = 0.25\\\\y = (f)\frac{1}{200}\\\\0.25 = (f)\frac{1}{200}\\\\0.25 * 200 = f\\\\f = 50\ oz$

if 0.25 oz of yeast is used, then 50oz of flour is needed.

If you make 60 servings of bread with 90 oz. Of flour, then you should keep the following ratio:

$\frac{y}{f} =\frac{1}{180}$

So, if we use f = 90 0z of flour:

$f = 90\ oz\\\\f = 180y\\\\90 = 180y\\\\y = \frac{90}{180}\\\\y = 0.5\ oz$

It would require 0.5 oz of yeast.

4 0

3 years ago

A random sample of 50 recent college graduates results in a mean time to graduate of 4.58 years, with a standard deviation of 1.

Anna007 [38]

Answer:

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

Yes, this confidence interval contradict the belief that it takes 4 years to complete a bachelor’s degree.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean μ, when the population standard deviation is not known is:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}$

The information provided is:

$\bar x=4.58\\s=1.10\\\alpha =0.10$

Compute the critical value of t for 90% confidence interval and (n - 1) degrees of freedom as follows:

$t_{\alpha/2, (n-1)}=t_{0.10/2, (50-1)}=t_{0.05, 49}=1.671$

*Use a t-table for the probability.

Compute the 90% confidence interval for population mean μ as follows:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}$

$=4.58\pm 1.671\times \frac{1.10}{\sqrt{50}}\\=4.58\pm 0.26\\=(4.32, 4.84)$

Thus, the 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

If a hypothesis test is conducted to determine whether it takes 4 years to complete a bachelor’s degree or not, the hypothesis will be:

Hₐ: The mean time it takes to complete a bachelor’s degree is 4 years, i.e. μ = 4.

Hₐ: The mean time it takes to complete a bachelor’s degree is different from 4 years, i.e. μ ≠ 4.

The decision rule based on a confidence interval will be:

Reject the null hypothesis if the null value is not included in the interval.

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32 years, 4.84 years).

The null value, i.e. μ = 4 is not included in the interval.

The null hypothesis will be rejected at 10% level of significance.

Thus, it can be concluded that that time it takes to complete a bachelor’s degree is different from 4 years.

4 0

3 years ago

If 2^x=3^y=12^z,prove that 2/x + 1/y - 1/z​

If 2^x=3^y=12^z,prove that 2/x + 1/y - 1/z