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3 years ago

Factor LaTeX: 7v^2+31v+12

Mathematics

1 answer:

bazaltina [42]3 years ago

6 0

Answer:

(7v +3 ) ( v + 4 )

Step-by-step explanation:

7v^2+31v+12

(7v + ) ( v + )

12 = 1*12

2*6

3*4

7* 4 + 3 = 31

(7v +3 ) ( v + 4 )

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An operations analyst counted the number of arrivals per minute at an ATM in each of 30 randomly chosen minutes. The results wer

liraira [26]

Step-by-step explanation:

since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is

$\hat{\lambda}=\bar{x}=\frac{\sum x}{n}=\frac{30}{30}=1$

So probabaility for $\mathrm{X}=1$ is

$P(X=1)=\frac{e^{-\lambda} \lambda^{x}}{x !}=\frac{e^{-1} \cdot 1^{1}}{1 !}=0.3679$

So expected frequency for $X=1$ is $0.3679^{*} 30=11.037$ (or $\left.11.04\right)$ .

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3 years ago

8x - 60 less than or equal to 2 (5 - 3x)

MrRa [10]

Answer:

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2 years ago

Find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)

Flauer [41]

Answer:

The coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are $\mathbf{(13,\frac{-9}{2})}$

Step-by-step explanation:

We need to find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)

The midpoint of line segment can be found using formula:

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

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Putting values and finding midpoint

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint=(\frac{14+12}{2},\frac{-8-1}{2})\\Midpoint=(\frac{26}{2},\frac{-9}{2})\\Midpoint=(13,\frac{-9}{2})$

So, the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are $\mathbf{(13,\frac{-9}{2})}$

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3 years ago

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Rzqust [24]

Answer:

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Step-by-step explanation:

Dimensional analysis is done by multiplying the wanted unit over the current unit in equal measure, or the other way around.

First, we will convert feet to meters, using that 1 ft = .4048 m.

32ft/6.45sec * .3048m/1ft = 32/6.45sec * .3048m = 9.7536m/6.45 sec.

Second, we convert seconds to minutes, using that 60 sec = 1 min.

9.7536m/6.45sec * 60sec/1min = 9.7536*60m/6.45min ≈ 90.7311627m/min.

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MArishka [77]

Answer:

(4)The lowest common denominator of 3 and 8 is 24.

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Hope this helped! :)

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2 years ago