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d1i1m1o1n [39]
3 years ago
6

Solve the following absolute value equation |2x+3|=5

Mathematics
2 answers:
Xelga [282]3 years ago
8 0

2x+3=5


Subtract 3 both sides

2x=5-3

Simplify

2x=2

Divide 2 each side

X= 2/2

Evaluate

X=1


Now second part


2x+3=-5


2x=-5-3


2x= -8


X=-8/2


X=-4


So x= 1,-4

matrenka [14]3 years ago
8 0
2x+3=5

Subtract 3 by both sides
2x=2

Divide 2 by both sides
x=1
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An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the
lora16 [44]

Answer:

Expected benefit under this policy = $ 2694

Step-by-step explanation:

Given - An insurance policy on an electrical device pays a benefit of

            4000 if the device fails during the first year. The amount of the

            benefit decreases by 1000 each successive year until it reaches 0.

            If the device has not failed by the beginning of any given year, the

            probability of failure during that year is 0.4.

To find - What is the expected benefit under this policy ?

Proof -

Let us suppose that,

The benefit = y

Given that, the probability of failure during that year is 0.4

⇒Probability of non-failure = 1 - 0.4 = 0.6

Now,

If the device fail in second year , then

Probability = 0.6×0.4

If the device fail in third year, then

Probability = 0.6×0.6×0.4 = 0.6² × 0.4

Going on like this , we get

If the device is failed in n year, then

Probability = 0.6ⁿ⁻¹ × 0.4

Now,

The probability distribution is-

Benefit , x       4000       3000             2000            1000              0

P(x)                 0.4         0.6×0.4         0.6² × 0.4     0.6³ × 0.4     1 - 0.8704

                      (0.4)       (0.24)            (0.144)         (0.0864)       (0.1296)

At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704

Now,

We know that,

Expected value ,

E(x) = ∑x p(x)

       = 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)

       = 1600 + 720 + 288 + 86.4 + 0

       = 2694.4

⇒E(x) = 2694.4 ≈ 2694

∴ we get

Expected benefit under this policy = $ 2694

5 0
2 years ago
2 tens and 76 ones equals
garri49 [273]
It equals 96. hope that helped
5 0
3 years ago
Read 2 more answers
Find the equation of the line that passes through point A (1,7) and B (-3, -1)
amid [387]

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( x_{1}, y_{1} ) & ( x_{2}, y_{2} )-

 y - y_{1}  = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }   ( x - x_{1}  )

i.e. <em> y - 7= \frac{- 1 - 7}{ -3-1}  ( x- 1)</em>

<em>       y - 7 =  \frac{- 8}{- 4} ( x -1)</em>

<em>       y - 7 =  2 ( x - 1) </em>

<em>       y - 7  =   2  x - 2</em>

<em>       2 x - y + 5 = 0</em>

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1)  is 2 x - y  + 5 = 0.

6 0
3 years ago
PLEASE HELP ME :(<br> God bless.
Dmitriy789 [7]

Answer:

x - 99 ≤ -104 → 2nd line

x - 51 ≤ -43 → 1st line

150 + x ≤ 144 → 4th line

75 < 69 - x → 3rd line

Step-by-step explanation:

Ugh! Wow, this is going to be tedious, thanks alot, bro (jk, I got your back).

x - 99 ≤ -104

 + 99   + 99

x ≤ -5

There should be a line going from -5 to negative infinity (AKA the left) with a FILLED circle. So, the second one is correct.

x - 51 ≤ -43

 + 51   + 51

x ≤ 8

There should be an arrow with a FILLED circle going to negative infinity (AKA the left). So, the first one is correct.

I'm going to take a shortcut and notice that one of the lines has a filled circle while the other one has an empty circle. So the empty circle must relate to the question without a ≤ or ≥, but with a < or >. We see that 75 < 69 doesn't have ≤ or ≥ but a '<.' So this one must have the empty circle, which is on line 3. The last equation has to be on line 4.

3 0
3 years ago
Use the graph below to answer the question.
Elina [12.6K]

Answer:

0

Step-by-step explanation:

edg 2020

6 0
2 years ago
Read 2 more answers
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