Is this a function?<br> A) Yes<br> B) No

The coordinates of the three vertices of the triangle are A (x1, y1), B (x2, y2), C (x3, y3).

kaheart [24]

Answer:

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

The vertices of the triangle are given to be (x

1

,y

1

),(x

2

,y

2

) and (x

3

,y

3

). Let these vertices be A,B and C respectively.

Then the coordinates of the point P that divides AB in l:k will be

(

l+k

lx

2

+kx

1

,

l+k

ly

2

+ky

1

)

The coordinates of point which divides PC in m:k+l will be

⎩

⎪

⎨

⎪

⎧

m+k+l

mx

3

+(k+l)

(l+k)

lx

2

+kx

1

,

m+k+l

my

3

+(k+l)

(l+k)

ly

2

+ky

1

⎭

⎪

⎬

⎪

⎫

⇒(

m+k+l

kx

1

+lx

2

+mx

3

,

m+k+l

ky

1

+ly

2

+my

3

)

6 0

2 years ago

You look at real estate ads for houses in Naples, Florida. There are many houses ranging from $200,000 to $500,00 in price. The

cricket20 [7]

Answer:

c) skewed to the right.

Step-by-step explanation:

We need to remember that is a distribution is skewed to the right then we have the following condition satisfied:

$Mode< Median$

And if is skewed to the left then we have:

$Mean$

If the distribution is symmetric we need to satisfy:

$Mean = Median=Mode$

For this case since we have most of the values between 200000 and 500000 when we put atypical values like 15000000 that would affect the sample mean and on this case the sample mean would larger than the sample median because the median is a robust measure of central tendency not affected by outliers.

So for this special case we can say that the $Mean>Median$ . And probably the median would be higher than the mode so then we can conclude that the best answer for this case would be:

c) skewed to the right.

5 0

3 years ago

10(a-2.5+0.56b) is this equivalent to 10a - 25+56b

kirill115 [55]

Hey there!

10(a - 2.5 + 0.56b)

= 10(a) + 10(-2.5) + 10(0.56b)

= 10a - 25 + 5.6b

= 10a + 5.6b - 25

Therefore, your answer is: 10a + 5.6b - 25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3 0

2 years ago

What is the value of the square of i?

BlackZzzverrR [31]

I^2 = (sqrt-1)^2 then the square cancels out so the answer is just

-1

3 0

3 years ago

Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio

Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 500, \sigma = 80$