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faltersainse [42]
3 years ago
13

Factor completely 2x2 − 6x − 36.

Mathematics
1 answer:
gavmur [86]3 years ago
4 0
To factor out completely, we should have reached the most simplified form,
first we should take out 2.
2(x2 - 3x - 18)
then we should factor out the inside of the parenthesis,
2(x - 6)(x + 3)
And that's the most simplified and factored out form.

The final answer is then the second option, <span>2(x − 6)(x + 3)</span>
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I am so lost o how to do this
pochemuha
I would simply consider saying that the answer is:
B. .533

because 8, 9-10th graders watched and 7 didn’t
6 0
3 years ago
An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiveness of the new meth
Anna35 [415]

Answer:

With 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

Step-by-step explanation:

We are given that the effectiveness of the new method was evaluated in a simulation study. In 50 simulations, the mean improvement in traffic flow in a particular intersection was 655.6 vehicles per hour, with a standard deviation of 311.7 vehicles per hour.

A traffic engineer states that the mean improvement is between 583.1 and 728.1 vehicles per hour.

<em>Let </em>\bar X<em> = sample mean improvement</em>

The z-score probability distribution for sample mean is given by;

            Z =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = mean improvement = 655.6 vehicles per hour

            \sigma = standard deviation = 311.7 vehicles per hour

            n = sample of simulations = 50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the mean improvement is between 583.1 and 728.1 vehicles per hour is given by = P(583.1 < \bar X < 728.1) = P(\bar X < 728.1) - P(\bar X \leq 583.1)

  P(\bar X < 728.1) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{728.1-655.6}{\frac{311.7}{\sqrt{50} } } ) = P(Z < 1.64) = 0.9495

  P(\bar X \leq 583.1) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{583.1-655.6}{\frac{311.7}{\sqrt{50} } } ) = P(Z \leq -1.64) = 1 - P(Z < 1.64)

                                                            = 1 - 0.9495 = 0.0505                      

<em />

<em>So, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.64 in the z table which has an area of 0.9495.</em>

Therefore, P(583.1 < \bar X < 728.1) = 0.9495 - 0.0505 = 0.899 or 89.9%

Hence, with 89.9% we can say that the mean improvement is between 583.1 and 728.1 vehicles per hour.

6 0
3 years ago
I have 10tens n 2 tens what is the answer
Alchen [17]
Is the n and if so then it is either 200 or 120
6 0
3 years ago
The regular price of a t-shirt is 18 dollars. What price will you pay after a 20% discount
neonofarm [45]
$14.4

0.8 * 18 = 14.4

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8 0
3 years ago
Read 2 more answers
Which statement is true about the equation 4.5z = 4.5z – 4.25 + 6.25? (1 point) It has no solution. It has one solution. It has
MakcuM [25]
I think it would be it has no solutions, because if you solve for z, the z's cancel each out and you would get 0=2 with is not true, so there would not be any solutions.

4.5z=4.5z-4.25+6.25
4.5z-4.5z=-4.25+6.25
   0=2
no solution
5 0
3 years ago
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