A line segment begins at the point (-4,-9) and ends at the point (21, 31.625).

Mathematics

1 answer:

KiRa [710]3 years ago

6 0

Answer:

(6 , 7.25)

Step-by-step explanation:

Given in the question coordinates (-4,-9) and (21,31.625)

x1 = -4

y1 = -9

x2 = 21

y2 = 31.625

Ratio

a : b

2 : 3

Formula to use

x = x1 + $\frac{a}{a+b}$ (x2-x1)

y = y1 + $\frac{a}{a+b}$ (y2 -y1)

Plug values on the formula

x = -4 + $\frac{2}{2+3}(21+4)$

x = 6

y = -9 + $\frac{2}{2+3}(31.625+9)$

y = 7.25

Co-ordinates of the point which divide the line into 2:3 is

(6 , 7.25)

You might be interested in

The highest recorded temperature during the month of July for a given year in Death Valley, California has an approximately norm

S_A_V [24]

Answer:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

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".

Solution to the problem

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

$X \sim N(123.8,3.1)$