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Alinara [238K]
3 years ago
14

Write the equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5).

Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

Answer:

y= -1/2x-5

Step-by-step explanation:

The reciprocal of 2 is -1/2, and the y-intercept given is -5. Given those, the equation is y= -1/2x - 5

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Estimate the solution of the system of equations. Write the answer as an ordered pair.
Lapatulllka [165]
When you graph a system of equations, the solution is always at the point at which the two lines intersect. So you have to find that point and then find which number it is on the x-axis and y-axis. Then you should write it in this form (X,Y)
So the lines basically cross at (1,2.5)

I’m not really sure if this is the correct answer but I hope it helps!!

Good luck!
6 0
3 years ago
The Statistical Abstract of the United States published by the U.S. Census Bureau reports that the average annual consumption of
Karo-lina-s [1.5K]

Answer:

a) P(\bar X

b)P(98

c) P(\bar X

d) P(93

Step-by-step explanation:

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".  

Part a

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

X \sim N(99.9,30)  

Where \mu=99.9 and \sigma=30

We select a random sample of n=36. And from the central limit theorem we know that the distribution for the sample is given by:

\bar X \sim N(\mu =99.9 , \frac{\sigma}{\sqrt{n}}= \frac{30}{\sqrt{38}}=4.87)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\bar X

=P(Z

Part b

For this case we want this probability:

P(98

=P(\frac{98-99.9}{\frac{30}{\sqrt{38}}}

And we can find this probability on this way:

P(-0.39

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-0.39

Part c

If we apply this formula to our probability we got this:

P(\bar X

P(\bar X

Part d

For this case we want this probability:

P(93

=P(\frac{93-99.9}{\frac{30}{\sqrt{38}}}

And we can find this probability on this way:

P(-1.42

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1.42

3 0
3 years ago
-(-2) <br> ...................................................
stepladder [879]

the 2 negatives get rid of eachother so its 2

2

4 0
2 years ago
How to convert 60miles into kilometers
Diano4ka-milaya [45]

Answer:

96.5606km

for an approximate result, multiply the length value by 1.609

3 0
3 years ago
Suzi bought 5 packages of M&amp;M's, and each package contained 18 candy pieces. She opened the first package and counted 4 gree
Leni [432]

Answer: The correct answer is option B: There are between 15 and 20 green pieces in all 5 packages

Step-by-step explanation: The most important factor has been given which is, "Which statement about the candy pieces in the remaining packages is best supported by this information."

The information given is such that, the first package she opened had 4 green pieces and on this basis we can safely assume that all other packages have 4 green pieces as well. The second package had 3 green pieces and this based on this too we can safely assume that all other packages had 3 green pieces. Hence, all 5 packages can either have a total of 4 x 5 green candies which equals a total of 20 green pieces or, all 5 packages can have a total of 3 x 5 green candies which equals a total of 15 green pieces.

So according to Suzi's experiment, there are between 15 and 20 green pieces in all 5 packages.

7 0
3 years ago
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