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3 years ago

I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT

Mathematics

1 answer:

natali 33 [55]3 years ago

3 0

Because M is the midpoint of AB, then AM and MB are equal distances. And because a segment can be written as the sum of its pieces, AM + MB = AB.

So,

AM + MB = AB <--- distance of a segment is the sum of its pieces

AM + AM = AB <--- M is the midpoint, so AM = MB

3x + 3 + 3x + 3 = 8x - 6 <--- substituting known amounts that were given

6x + 6 = 8x - 6 <--- collect like terms on the left side

6x = 8x - 12 <--- subtract 6 on both sides

-2x = -12 <--- subtract 8x on both sides

x = 6 <--- divide both sides by -2

Because x = 6, we put it back into AM. 3(6) + 3 = 18 + 3 = 21

Thus, AM is 21 units.

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Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semest

strojnjashka [21]

Answer:0.9991

Step-by-step explanation:

The Poisson distribution probability formula is given by :-

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$ , where \lambda is the mean of the distribution and x is the number of success

Given : $\lambda=7$

The probability that more than 1 student will have his automobile stolen during the current semester is given by :-

$P(x\geq1)=1-P(x=0)=1-(\dfrac{e^{-7}7^0}{0!})\\\\=1-e^{-7}=0.99908811\approx0.9991$

Hence, the probability that more than 1 student will have his automobile stolen during the current semester =0.9991

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2 years ago

Which BEST explains the expression x( y z + 1 2 )? A) x depends on ( y z + 1 2 ). B) ( y z + 1 2 ) depends on x. C) x and ( y z

Alekssandra [29.7K]

9514 1404 393

Answer:

D) x and ( y z + 1 2 ) are independent of each other

Step-by-step explanation:

Assuming this is not intended to be describing a function named x with an argument of yz+12, the variables in any expression are assumed to be independent of each other, unless additional information is provided showing their dependencies.

Here, there is no such additional information, so we must assume ...

x and (yz +12) are independent of each other

_____

<em>Additional comment</em>

The assumption stated in the answer is intended to ensure we're not concerned with something of the form ...

g(x)

which is an expression saying 'g' is dependent on 'x'. If we know 'g' is a function name, then g(yz+12) will make 'g' be dependent on (yz+12).

Similarly, if x(a) is intended to mean that x is a function of 'a', then the corresponding x(yz+12) will mean that x is dependent on (yz+12). This would be quite unusual, since letters toward the end of the alphabet are usually used for variable names, while letters in the middle of the alphabet are used for function names.

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2 years ago

A cell phone provider offers a plan that costs $40 per month plus $0.20 per text message sent or received. A comparable plan c

GalinKa [24]

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3 years ago

Read 2 more answers

Find the area for all of these numbers

qwelly [4]

answer : 29
………………….

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2 years ago

Read 2 more answers

4. what is the value of x?

Eva8 [605]

Answer:

4. 21

5.120

Step-by-step explanation:

(the answer for #4

I added 5x+15 and 3x-3

and got

8x+12

and because we needed to find the value of x, l did this

8x+12=180

because interior consecutive angles equal 180

and I got 21

(answer for 5)

I then plugged 21 into 5x+15 because angle 1 is equal to it

5(21)+15

I got 120

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2 years ago