All categories

2 years ago

Find the midpoint of the segment with the following endpoints (-1,3) and (6,-2)

Mathematics

2 answers:

Sliva [168]2 years ago

7 0

Answer:

(5/2, 1/2)

Step-by-step explanation:

the midpoint formula is

(x1 + x2/2) , (y1 + y2/2) <-- both the x1 and y1 coordinates also are divided by 2

so to solve for the midpoint, we take our endpoints and plug it into the formula

we will list the coordinates as the following to plug it into the formula:

x coordinate 1 = -1

x coordinate 2 = 6

y coordinate 1 = 3

y coordinate 2 = -2

substituting these values into the formula we get this:

x =(-1 + 6/2) , y = (3 + -2/2)

x = -1 + 6 = 5/2

we cant simplify 5/2 any further, so 5/2 is our x coordinate for the midpoint

y = 3 + (-2) = 1/2

1/2 is already simplified, so 1/2 is our y coordinate for the midpoint

in an ordered pair it would be (5/2, 1/2)

DENIUS [597]2 years ago

3 0

Answer:

(5/2 and 1/2)

Step-by-step explanation:

x1,y1=(-1,3) x2,y2=(6,-2)

6-1/2,-2+3/2

= 5/2 and 1/2

Hope this helps

You might be interested in

Suppose that 43% of a town's population have blue eyes, 46% have blonde hair, and 24% have both blue eyes and blonde hair. What

Varvara68 [4.7K]

We need to find the probability of the event:

having blue eyes or blond hair

This event is the union of the events:

A: having blue eyes.

B: having blond hair.

So, we need to find the probability P(A ∪ B). In order to do so, we can use the following formula:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

We know that the probability of the intersection of A and B (having both) is

P(A ∩ B) = 24%

Also:

P(A) = 43%

P(B) = 46%

Then, using those values into the above formula, we find:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

P(A ∪ B) = 43% + 46% - 24%

P(A ∪ B) = (43 + 46 - 24)%

P(A ∪ B) = 65%

3 0

10 months ago

Various problems with data collection can cause some observations to be missing. Suppose a data set has 20 cases. Here are the v

mr Goodwill [35]

Answer:

a) Mean= 15, standard deviation= 5.1575

b) Mean= 15, standard deviation= 3.6469

c) See below

Step-by-step explanation:

(a) Compute the mean and standard deviation for the 10 cases for which x is not missing.

The mean using the ten known values is

$\bar x=\frac{17+6+12+14+20+23+9+12+16+21}{10}=15$

The standard deviation is

$\small s=\sqrt{\frac{(17-15)^2+(6-15)^2+(12-15)^2+(14-15)^2+(20-15)^2+(23-15)^2+(9-15)^2+(12-15)^2+(16-15)^2+(21-15)^2}{10}}=5.1575$

(b) Create a new data set with 20 cases by using imputation where you set the values for the 10 missing cases equal to the mean that you computed in the previous part. Compute the mean and standard deviation for this new data set with 20 cases.

The new data set would be

17, 6, 12, 14, 20, 23, 9, 12, 16, 21, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15

The new mean for this set of values would be then

$\bar x=\frac{\displaystyle\sum_{i=1}^{20}x_i}{20}=15$

The new standard deviation is now

$s=\sqrt{\frac{\displaystyle\sum_{i=1}^{20}(x_i-\bar x)^2}{20}}=3.6469$

(c) Summarize what you have learned about the possible effects of this type of imputation on the mean and the standard deviation.

Obviously, this way of imputation is somewhat arbitrary and will produce a set of data undoubtedly skewed.

It could possibly be a sensible way of imputing data if the amount of missing data is very little compared to the whole set, for example one or two data in a set of 100, but in this case we have 50% of missing data and it makes no sense this procedure.

4 0

3 years ago

A line has slope 4 and y-intercept (0, -2). What is the slope-intercept form of the equation of this line?

Olegator [25]

Good day ^-^ ///////////////

7 0

2 years ago

Who can help me out with this question???

GaryK [48]

Answer:

x = 13

Step-by-step explanation:

$a^{2} +b^2 = c^2\\12^2 + 5^2 = c^2\\144 + 25 = c^2\\169 = c^2\\$

Take the square root of both sides

$\sqrt{169} = \sqrt{c^2} \\13 = c$

8 0

3 years ago

Candice leaves on a trip driving at 35 miles per hour. Three hours later, her sister Liz starts from the same location driving a

Natalka [10]

It would be 7 hours because 35 x 3 is 105, if she is already 105 miles from home then 35 x 7 is 245. 245 + 105 = 350. Candice would be at 350 and Liz would be at 350, so in conclusion the answer is 7 hours. :)

4 0

3 years ago

Read 2 more answers