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steposvetlana [31]
3 years ago
14

What is the slope of a line that passes through the points (0,5) and (3,11)

Mathematics
1 answer:
Firdavs [7]3 years ago
8 0
The slope is the difference between the two y values over the difference of the two x values. 11-5=6, and 3-0=3, so 6/3 makes the slope 2
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The ______ average ignores compounding.
mars1129 [50]
The answer is:  [B]:  "arithmetic" .
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8 0
3 years ago
Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu. Assume
Sphinxa [80]

Answer: (1.55, 6.45)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline\ {x}\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Sample size : n=41

Sample mean : \overline{x}=4.0\text{ kg}

Standard deviation : \sigma=6.1\text{ kg}

Then, 99% confidence interval for population mean will be :_

4\pm\ (2.576)\dfrac{6.1}{\sqrt{41}}\\\\\approx4\pm2.45\\\\=(4-2.45, 4+2.45)=(1.55, 6.45)

8 0
3 years ago
In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a)
DENIUS [597]

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

  • Mean rate = 0.3
  • x = 50
  • standard deviation = ?

<h3>Poission Rule</h3>

Using poission formula,

P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431

b)

The probability the next call arrives after 2 hours.

\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488

c)

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

\lambda = 0.3 * 50 * 24 = 360

The mean = 360

The standard deviation is given as

S.D = \sigma =\sqrt{360} = 18.974\\

The probability the sum of these 50 number is less than 356 is

p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165

Learn more on poission formula here;

brainly.com/question/7879375

3 0
2 years ago
PLEASE HURRY ~ NO JOKES, RIGHT ANSWERS ONLY~ WORTH 80 POINTS ~
baherus [9]

Answer:

The Great Ocean Conveyor Belt

Step-by-step explanation:

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The ocean conveyor gets its “start” in the Norwegian Sea, where warm water from the Gulf Stream heats the atmosphere in the cold northern latitudes. This loss of heat to the atmosphere makes the water cooler and denser, causing it to sink to the bottom of the ocean. As more warm water is transported north, the cooler water sinks and moves south to make room for the incoming warm water. This cold bottom water flows south of the equator all the way down to Antarctica. Eventually, the cold bottom waters returns to the surface through mixing and wind-driven upwelling, continuing the conveyor belt that encircles the globe.

4 0
3 years ago
Read 2 more answers
What are two addition equations that each have a sum of -21.5?
tino4ka555 [31]

Answer:

-21.5 + 0

-22.5 - 1

Step-by-step explanation:

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6 0
2 years ago
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