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2 years ago

(2.03)

1 answer:

4 0

Given the definition of the absolute value function, there are two possibilities for the next step.

Rember that |x| = x when x is positive and |x| is - x when x is negative.

So, these are the two possibilities for |x - 2| = 4

1) When the content inside the absolute value is positive, you can state x - 2 = 4

2) When the content inside the absolute value is negative you can state x - 2 = - 4.

So, the answer is

x - 2 = 4 and x - 2 = - 4.

I found this list of choices for this question:

<span>a. x + 2 = −4
b. −x − 2 = 4
c. x + 2 = 4
d. x − 2 = −4
</span>
In that list , the only right is x - 2 = - 4, so choose it.

Answer: option d. x - 2 = - 4

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a silkworm winds its cocoon out of one long silk fiber. to make silk thread, 3 to 10 of these silk fibers are unwound from their

Scorpion4ik [409]

Answer:

Possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.

Step-by-step explanation:

Let the length of the silk fiber = x yards.

Let the number of silk fibres = a.

It is given that the silk fibers between 3 to 10 yards are combined to form a silk thread of 300 yards.

So, we get the equation,

$ax=300$ , where $3\leq a\leq 10$

i.e. $x=\frac{300}{a}$ , $3\leq a\leq 10$

So, the possible values of 'a' are 3, 4, 5, 6 an 10.

Thus, the possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.

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2 years ago

If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?

tankabanditka [31]

P(Face card) =16/52 = 4/13
P(Spade) = 13/52 =1/4
P(Face ∪ Spade) = 4/13 + 1/4 = 29/52 = 0.557

7 0

3 years ago

Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (

Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

$P(\frac{T}{S}) = 0.95$

$P(\frac{T}{S^c}) = 0.05$

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

$P(S^c) = 1 - P(S)$

= 1 - 0.3

= 0.7

ii. $P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}$

$= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }$

$= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}$

= 0.8906

iii. $P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}$

$= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }$

$= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}$

= 0.0221

We simply applied the above formulas so that the each part could come

8 0

2 years ago

Your auto insurance is $900 per quarter. What should you use as the monthly average? The auto insurance is a fixed expense, but

Airida [17]

Answer:

$225

Step-by-step explanation:

A quarter is made up of 4 months,

If auto insurance is $900 per quarter, the monthly expense would be $900 / 4 = $225

4 0

3 years ago

Can someone with knowledge see what I did wrong on number 4<br>also see if number 3 is right

Yakvenalex [24]

Answer:

#4. m=0;

#3. m = $\frac{-1}{2}$

Step-by-step explanation:

It seems right.

#4.

Maybe your teacher wants you to write m=0; because when a fraction has a numerator equal to zero then the fraction is zero.

#3.

Maybe your teachers want you to simplify the fraction and write m = $\frac{-1}{2}$

7 0

2 years ago

Read 2 more answers