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rosijanka [135]
2 years ago
12

What is the slope of the line containing (-2, 5) and (4, -4)?

Mathematics
1 answer:
bija089 [108]2 years ago
8 0

Answer:

3/2

Step-by-step explanation:

-4-5/4-(-2)

-9/6

3/2

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Find the length and width of a similar rectangular screen if the length is 5 meters more than 6 times its width, and the viewabl
Sliva [168]

Answer:185 m , 60 m

Step-by-step explanation:

Given

Length is 5 m more than 6 times its width

Suppose width is x

So, length is given by 6x+5

The area is given by l\times b

Put values of length and width

\Rightarrow (6x+5)x=5550\\\Rightarrow 6x^2+5x-5550=0\\

On solving the quadratic equation, we get x=30

Length is 6\times 30+5=185\ m

Width is x=30\ m

7 0
3 years ago
The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of m
UkoKoshka [18]

Answer:

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

X \sim N(14.7,3.7)  

Where \mu=14.7 and \sigma=3.7

Since the distribution of X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we have;

\mu_{\bar X}= 14.70

\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59

Step-by-step explanation:

Assuming this question: The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 14.7 minutes and a standard deviation of 3.7 minutes. Let R be the mean delivery time for a random sample of 40 orders at this restaurant. Calculate the mean and standard deviation of \bar X Round your answers to two decimal places.

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

X \sim N(14.7,3.7)  

Where \mu=14.7 and \sigma=3.7

Since the distribution of X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we have;

\mu_{\bar X}= 14.70

\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59

4 0
3 years ago
Find the perimeter of the window to the nearest hundredth.
Natalka [10]
7.71 feet is your answer.
6 0
2 years ago
Calculate the volume of blood moved per minute by a heart at rest.A heart "at rest" beats at a rate of 72 beats per minute and m
Travka [436]

Answer:

70 X 72 = 5040 mL per minute

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3 years ago
Someone help me with this proof please ​
Anna71 [15]

Answer:

the first statement is: AB is congruent to DC.

reason: given

Step-by-step explanation:

im not sure about the others

6 0
3 years ago
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