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Over [174]
3 years ago
13

Subtract 5x – 2 from –3x +4. O 2x + 2 o 80 – 6 –80 + 2 -80 + 6 +​

Mathematics
2 answers:
STatiana [176]3 years ago
5 0

Answer:

8x - 6

Step-by-step explanation:

5x - 2 - (-3x + 4)

1) Distribute

5x - 2 + 3x -4

2) Combine like terms

8x - 6

Dafna11 [192]3 years ago
5 0

Answer:

 D: -8x+6

Step-by-step explanation:

(-3x+4)-(5x-2) This is the set up

(-3x-5x)+(4--2) Combine like terms

-8x+6 Simplify

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Let X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes. If the random vari
Gelneren [198K]

Answer:

Probability that the wait time is greater than 37 minutes is 0.3474.

Step-by-step explanation:

We are given that the random variable X is known to be exponentially distributed and X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes.

<u><em>Let X = waiting time for a car to pass by on a country road</em></u>

The probability distribution function of exponential distribution is given by;

f(x) = \lambda e^{-\lambda x}  , x >0     where, \lambda = parameter of distribution.

Now, the mean of exponential distribution is = \frac{1}{\lambda}  which is given to us as 35 minutes that means  \lambda = \frac{1}{35}  .

So, X ~ Exp( \lambda = \frac{1}{35} )

Also, we know that Cumulative distribution function (CDF) of Exponential distribution is given as;

F(x) = P(X \leq x) = 1 - e^{-\lambda x}  , x > 0

Now, Probability that the wait time is greater than 37 minutes is given by = P(X > 37 min) = 1 - P(X \leq 37 min)

  P(X \leq 37 min) = 1 - e^{-\frac{1}{35} \times 37}        {Using CDF}

                         = 1 - 0.3474 = 0.6525

So, P(X > 37 min) = 1 - 0.6525 = 0.3474

Therefore, probability that the wait time is greater than 37 minutes is 0.3474.

4 0
3 years ago
Which relation is not a function
3241004551 [841]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Give the x and y intercepts: x+3y=24
Ray Of Light [21]

Answer:

y-intercept is 8

x-intercept is 24

Step-by-step explanation:

put equation into slope-intercept form:

x + 3y = 24

3y = -x + 24

y = -1/3x + 8

now we know the y-intercept is at point (0,8)

4 0
3 years ago
The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. Wh
Alla [95]

Answer:

2.3%

Step-by-step explanation:

The formula to convert x into z distribution is

z=\frac{x-\mu}{\sigma}

Where z is the test statistic

x is what we are looking for (in this case 37)

\mu is the mean (in this case, it is 25)

\sigma is the standard deviation (we have 6)

<em>Plugging these into the formula, we get:</em>

z=\frac{x-\mu}{\sigma}\\z=\frac{37-25}{6}\\z=2

Thus we can say we want P(z\geq 2)

<u>Note: </u> P(z\geq a)=1-P(z\leq a)

The table given is for any  z where P(z\leq a)

Thus, now we have:

P(z\geq 2)\\=1-P(z\leq 2)\\=1-0.9772\\=0.0228\\

0.0228 into percentage is 0.0228 * 100 = 2.28%

Rounded, we get 2.3%

Third answer choice is right.

3 0
3 years ago
Which intervals show f(x) increasing? choose two options
vivado [14]

Answer:

(-1.6, 0)

(0, 0.8)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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