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2 years ago

For each expression, write an equivalent expression that uses only addition.

Mathematics

1 answer:

konstantin123 [22]2 years ago

7 0

Equivalent expressions are expressions of equal values

The equivalent expressions are 4x+ (y - 8y) + (2z-5z) +6 and 6x-3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)

<h3>How to determine the equivalent expressions</h3>

The first expression has been solved.

So, we have the following expressions

4x−7y−5z+6 and -3x−8y−4−87z

We have:

4x-7y-5z+6

Rewrite as:

4x+ (y - 8y) + (2z-5z) +6

We have:

-3x−8y−4−87z

Rewrite as:

3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)

Hence, the equivalent expressions are 4x+ (y - 8y) + (2z-5z) +6 and 6x-3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)

Read more about equivalent expressions at:

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3 years ago

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to det

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Answer:

The required hypothesis to test is $H_0: \mu\leq 30$ and $H_1: \mu>30$ .

Step-by-step explanation:

Consider the provided information.

It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.

She would now like to determine whether or not the mean age of her customers is over 30.

Null hypotheses is represents as $H_0$ . Thus the null hypotheses is shown as:

$H_0: \mu\leq 30$

The alternative hypotheses is represents as $H_1$ . Thus the alternative hypotheses is shown as:

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3 years ago

HELP Use either law of sines or law of cosine. Need help on this problem! show work please!

Marina86 [1]

Answer: x = 15.035677095729 approximately

Round this however you need to.

=================================================

Explanation:

I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.

If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:

sin(Q)/q = sin(R)/r

sin(Q)/PR = sin(R)/PQ

sin(Q)/13 = sin(85)/19

sin(Q) = 13*sin(85)/19

sin(Q) = 0.6816068987

Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)

Q = 42.9693397461 ... or ... Q = 137.0306602539

These values are approximate.

----------------

Now if Q = 42.9693397461 approximately, then angle P is

P = 180-Q-R

P = 180-42.9693397461-85

P = 52.0306602539

Similarly, if Q = 137.0306602539 approximately, then,

P = 180-Q-R

P = 180-137.0306602539-85

P = -42.0306602539

A negative angle is not possible, so we'll ignore Q = 137.0306602539

----------------

The only possible value of angle P is approximately P = 52.0306602539

Let's apply the law of sines again to find side p, aka segment QR

sin(P)/p = sin(R)/r

sin(P)/QR = sin(R)/PQ

sin(52.0306602539)/x = sin(85)/19

19*sin(52.0306602539) = x*sin(85)

19*sin(52.0306602539)/sin(85) = x

x = 15.035677095729

This value is approximate.

Round this value however you need to.

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3 years ago

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