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3 years ago

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.

Let X = waiting time for a car to pass by on a country road

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:

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)

Plugging these into the formula, we get:

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

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

Note: $P(z\geq a)=1-P(z\leq a)$

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

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

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