1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tanya [424]
2 years ago
12

What is the distance between the points G(−5, 4) and H(2, 6)?

Mathematics
1 answer:
iris [78.8K]2 years ago
4 0

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ G(\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad H(\stackrel{x_2}{2}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ GH=\sqrt{[2-(-5)]^2+[6-4]^2}\implies GH=\sqrt{(2+5)^2+(6-4)^2} \\\\\\ GH=\sqrt{7^2+2^2}\implies GH=\sqrt{49+4}\implies GH=\sqrt{53}\implies GH\approx 7.28

You might be interested in
Please help me. What are 2 numbers that multiply to be -36 and add up to be 5?
elena55 [62]

Answer:

-4 and 9

Step-by-step explanation:

-4 + 9 = 5

-4 x 9 = -36

4 0
2 years ago
A tablet PC contains 3217 music files. The distribution of file size is highly skewed with many small files. Suppose the true me
m_a_m_a [10]

Answer:

Let X the random variable who represents the file sizeof music. We know the following info:

\mu =2.3,\sigma =3.25

We select a sample of n=50 nails. That represent the sample size.  

Since the sample size is large enough n >30, we can use the central limit theorem. From this theorem 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 can approximate the distribution of the sample mean as a normal distribution and no matter if the distribution for X is right skewed or no.

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 central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Let X the random variable who represents the file sizeof music. We know the following info:

\mu =2.3,\sigma =3.25

We select a sample of n=50 nails. That represent the sample size.  

Since the sample size is large enough n >30, we can use the central limit theorem. From this theorem 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 can approximate the distribution of the sample mean as a normal distribution and no matter if the distribution for X is right skewed or no.

8 0
3 years ago
Which numbers are "rational" and which numbers are "irrational"?
taurus [48]

the 3rd one. hope this helps

7 0
2 years ago
Read 2 more answers
One pound of candies costs $3.50. How much will we have to pay for 3 lb?
Romashka-Z-Leto [24]

Answer: 10.50 dollars


Step-by-step explanation:

3.50 x 3 = 10.50

8 0
3 years ago
Describe the relationship between the number of places a decimal point is moved to the left and the change in the value of the n
dimaraw [331]
For every decimal place you move a decimal through a number you can think of it as multiplying or dividing by ten. 

take for example 1000.0 
if you move the decimal to make this number 100.00 you divided it by ten 
if you move the decimal again to make 10.000 you divided ten again

but, if you make the number bigger, say 10000. then you have multiplyed by ten. 
3 0
3 years ago
Other questions:
  • The total charge on 8 particles is −56 units. All the particles have the same charge.
    11·2 answers
  • Which statement is true about the graphs of the two lines y=-8x - 5/4 and y= 1/8x + 4/5? The lines are perpendicular to each oth
    6·2 answers
  • Simplify 2⁰+5¹+4³/7 ​
    9·1 answer
  • According to a Pew Research Center study, in May 2011, 35% of all American adults had a smart phone (one which the user can use
    8·1 answer
  • Among all pairs of numbers whose difference is 16​, find a pair whose product is as small as possible. What is the minimum​ prod
    10·1 answer
  • Whats 45 times 25 to the power of 3 minus 12 divided by 9
    11·1 answer
  • What does 2pi/5 look like in standard position? Please consider my question, It would help me so much.
    8·1 answer
  • Find the common difference for the following sequence and fill in the missing terms. Show all calculations. 2, 13, 24, 35, __, _
    9·2 answers
  • Two friends share 3 fruit bars equally.How much does each friend get?
    7·2 answers
  • A golfer has a 4 day tournament what is the final score
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!