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3 years ago

What is the value of -2(x+5)

Mathematics

1 answer:

Alex787 [66]3 years ago

5 0

Steps:
1. Multiply the -2 by x which equals -2x
2. Multiply -2 by 5 which equals -10
3. Your answer is -2x + -10

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The circumference of the hub cap of a tire is 82.58 centimeters.

Aleksandr-060686 [28]

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3 years ago

Vehicles leave an airport parking facility (arrive at parking fee collection booths) at a rate of 500 veh/h (the time between ar

Nutka1998 [239]

Answer:

At least 3 processing booths should be open.

Step-by-step explanation:

1 vehicle spends an average of 15 seconds in a booth

In N booths , there will be N/15 vehicles in 1 second

In 1 hr, there will be N/15 * 3600 vehicles

Therefore, there will be a total of 240N vehicles/hour

Actual arrival rate of vehicles at the airport is 500 veh/h

Probability of arrival, P = $\frac{Number of possible outcomes}{Total outcomes}$

P = 500/240N

P = 2.083/N

For the average time spends to be below 5 seconds

$\frac{(\frac{P^{2} }{1-p} )}{500} = 5$ , since 500 is the average value.

$\frac{P^{2} }{1-p} } = 2500\\P^{2} = 2500 (1-P)\\P^{2} = 2500 - 2500P\\(\frac{2.083}{N}) ^{2} = 2500 - 2500(\frac{2.083}{N})$

$2.083^{2} = 2500N^{2} - 5208N\\2500N^{2} - 5208N - 4.34 = 0$

$N^{2} -2.0832N - 0.0017 = 0$

Solving for N using the quadratic formula with a = 1, b = -2.0832, c = -0.0017

$N = \frac{-b \pm \sqrt{b^{2} -4ac} }{2a} \\N = \frac{2.0832 \pm \sqrt{(-2.0832)^{2} -4*1*(-0.0017)} }{2}$

N = 1.0416 ± 1.0424

N = 2.084 or -0.0008

N = 2.084 is the only realistic value here

Therefore, the smallest number of processing booths that must be open should be 3

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3 years ago

What's the new volume of the new box?

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The new volume will be 480 inches cubed

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2 years ago

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butalik [34]

I think the answer is c

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3 years ago

Read 2 more answers

A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann

emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

A confidence interval has two bounds, the lower and the upper

Lower bound:

$\pi - M$

Upper bound:

$\pi + M$

In this problem, we have that:

$\pi = 0.26, M = 0.05$

Lower bound:

$\pi - M = 0.26 - 0.05 = 0.21$

Upper bound:

$\pi + M = 0.26 + 0.05 = 0.31$

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

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3 years ago