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3 years ago

Verify the identity. Help please!!!

Mathematics

1 answer:

MariettaO [177]3 years ago

4 0

The given expression can be proved using the Pythagorean identity as shown below:

$L.H.S \\ \\ 
= 1+ sec^{2} *sin^{2}x \\ \\ 
=1+ \frac{1}{cos^{2}x } sin^{2}x \\ \\
=1+tan^{2}x \\ \\ 
=sec^{2}x \\ \\ 
= R.H.S 
$

Thus, the Left hand side has been proved equal to Right Hand Side.

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lesya [120]

Explain the question more pls

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In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the enti

jekas [21]

Answer:

$X \sim Hyp (N = 810, M=102, n=4)$

$P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}$

And solving we got:

$P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583$

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583

Step-by-step explanation:

For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:

$X \sim Hyp (N = 810, M=102, n=4)$

$P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}$

Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes

And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:

$P(X=0)$

And using the probability mass function we got:

$P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}$

And solving we got:

$P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583$

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583

6 0

3 years ago

The surface area of a cylinder?

ioda

Answer:

18. 84 ft² or 18.85 ft² when rounded to the nearest tenth

Step-by-step explanation:

2πrh+2πr²

2× 3.14 × 1 × 2= 12.56

2 × 3.14 × 1² = 6.28

12.56 + 6.28 = 18.84

Have a great day :)

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2 years ago

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A hot air balloon is currently at a height of 900 feet. The balloon is descending by 10 feet minute. Find a function for the bal

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Answer:

$y=-10x+900$

Step-by-step explanation:

Let

x -----> the number of minutes

y ----> the balloon's height in feet

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have that

The slope is equal to

$m=-10\ \frac{ft}{min}$ ----> is negative because is a decreasing function

$b=900\ ft$

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this context the y-intercept is the height of the balloon when the time is equal to zero (initial height)

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$y=-10x+900$

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Answer:

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Step-by-step explanation:

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