All categories

3 years ago

The midpoint of EF is M(4,10) one endpoint is E(2,6). Find the coordinates of the other endpoint F

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

3 0

2+a / 2 = 4 and b+6 /2 = 10

2+a=8. and. b+6 = 20
a=6. and. b=14

(a,b) , the other endpoint, is thus (6,14)

You might be interested in

1- The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55.

serg [7]

Answer:

0.5

0.9545

0.68268

0.4986501

Step-by-step explanation:

The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.

a. less than $1.55?

b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Given that :

Mean (m) = 1.55

Standard deviation (s) = 0.20

a. less than $1.55?

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

b. between $1.15 and $1.95?

P(x < 1.15)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.15 - 1.55) / 0.20 = - 2

p(Z < - 2) = 0.02275 ( Z probability calculator)

P(x < 1.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.95 - 1.55) / 0.20 = 2

p(Z < - 2) = 0.97725 ( Z probability calculator)

0.97725 - 0.02275 = 0.9545

c. between $1.35 and $1.75?

P(x < 1.35)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.35 - 1.55) / 0.20 = - 1

p(Z < - 2) = 0.15866 ( Z probability calculator)

P(x < 1.75)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.75 - 1.55) / 0.20 = 1

p(Z < - 2) = 0.84134 ( Z probability calculator)

0.84134 - 0.15866 = 0.68268

d. between $0.95 and $1.55?

P(x < 0.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (0.95 - 1.55) / 0.20 = - 3

p(Z < - 3) = 0.0013499 ( Z probability calculator)

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

0.5 - 0.0013499 = 0.4986501

3 0

3 years ago

Describe the relationship between n and 4 that will make the value of the expression 7×n/4 great her than 7

nadezda [96]

If you want an answer greater that 7, your fraction needs to be greater than 1.
n can be any number greater than 4

$7 \times \frac{4}{4} = 7$
$7 \times \frac{8}{4} = 14$

5 0

3 years ago

Some middle school students are asked if they play checkers and chess. The results of the survey are shown in the table.

BaLLatris [955]

How’s everybody’s day :)

3 0

3 years ago

Read 2 more answers

compute the mean and variance of the following discrete probability distribution. (round your answers to 2 decimal places.) x p(

a_sh-v [17]

The determined value of mean µ is 1.3 and variance σ² is 0.81.

What is mean and variance?

A measurement of central dispersion is the mean and variance. The average of a group of numbers is known as the mean.
The variance is calculated as the square root of the variance.

We can determine how the data we are collecting for observation are dispersed and distributed by looking at central dispersion.

The table is attached as an image for reference.

Mean µ = ∑X P(X)

µ = 1.3

Variance (σ² ) = ∑ X² P(X)- (µ)²

= 2.5-(1.3)²

(σ² ) = 0.81

The determined value of mean µ is 1.3 and variance σ² is 0.81.

Learn more about mean and variance here:

brainly.com/question/25639778

#SPJ4

6 0

1 year ago

A plane takes off at an angle of elevation of 15 and travels in a straight line for 3,000 meters. What is the height of the plan

Gala2k [10]

That's a right triangle with hypotenuse 3000 and the height y is the side opposite the elevation angle of 15 degrees.

$y = 3000 \sin 15^\circ$

We can actually compute $\sin 15^\circ$ exactly but I won't bother.

$y \approx 776 \textrm{ feet}$

3 0

3 years ago