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3 years ago

13

Find the exact value of sin

=" \frac{22 pi /3} " alt=" \frac{22 pi /3} " align="absmiddle" class="latex-formula">

1 answer:

Nady [450]3 years ago

6 0

Since $\dfrac{22\pi}3\equiv\dfrac{4\pi}3\mod2\pi$ , you have

$\sin\dfrac{22\pi}3=\sin\dfrac{4\pi}3=-\dfrac{\sqrt3}2$

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Answer:

(-3;-2)

Step-by-step explanation:

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2 years ago

HELP IT"S ALGEBRA CAN SOMEONE DO THIS QUICK

Ahat [919]

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2 years ago

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Solve the system of linear equations.<br> 3x + 5y = -2<br> 2x - y = 3

natita [175]

Answer:

3x + 5y = -2 is x= −5 /3 y+ −2 /3

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Step-by-step explanation:

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2 years ago

Amy wants to sell at most 25 cookies and at least 10 sprites

Inga [223]

Answer:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

Step-by-step explanation:

It is given that,

Amy wants to sell at most 25 cookies ,

Let number of cookies be ' $x$ ' , then $x$ should be less than or equal to 25

Which is represented by $x\leq 25$ ,

Further,

Let number of sprites be ' $y$ ', then ' $y$ ' should be greater than or equal to 10

Which is represented by $y\geq 10$

Also,

Given,

she profits $.50 on every cookie

and $1.00 on every sprite.

So total profit on selling cookies would be

= Profit on each cookie times the number of cookies

= $.50\times x$

= $.5x$

Similarly, total profit on selling sprites would be

=profit on each sprite times the number of sprites

= $1.00\times y$

= $y$

Now, combining these two should be greater than or equal to $30

representing this through an equation,

$.50x+y\geq 30$

Thus the sysytem of equations is given as:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

6 0

2 years ago

From a population of 200,000,000 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is

Talja [164]

Answer:

The standard error of the mean = 2

Step-by-step explanation:

Given that:

The standard deviation σ = 14

The sample size n = 49

The sample mean $\overline x$ = 56

The formula for calculating the standard error can be expressed as:

$S.E = \dfrac{\sigma}{\sqrt{n}}$

$S.E = \dfrac{14}{\sqrt{49}}$

$S.E = \dfrac{14}{7}$

S.E = 2

Therefore, the standard error of the mean = 2

4 0

2 years ago