The number of goals scored in a series of football matches was as follows:

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The number

AveGali [126]

Answer:

a) it is a discrete random variable

b) It is a continuous random variable

c) It is not a random variable

d) It is a discrete random variable

e) It is a discrete random variable

f) It is a continuous random variable

Step-by-step explanation:

Explanation,

Continuous Random Variable

A continuous variable is one that can take on an uncountable set of values.

It may take any values within an interval.

It can take infinite values within an interval.

They are obtained by measuring rather than counting.

Discrete Random Variable

These can only take a discrete value and cannot be expressed in the form of decimals.

They are obtained by counting rather than measuring.

a). it is a discrete random variable ⇒ as a number of people is a discrete count, which takes values such as 0 or 1 or 2.

b). The exact time it takes to evaluate 27+72 ⇒ Since, Time is measured and thus it is a continuous random variable.

c). The gender of college students ⇒ Gender is categorical data. It is neither continuous nor discrete.

d). The number of hits to a website in a day ⇒ Since the number of people cannot be expressed as decimals, thus it is a discrete random variable

e). The number of bald eagles in a country ⇒ Since the number of people cannot be expressed as decimals, thus it is a discrete random variable

f). The distance a baseball travels in the air after being hit ⇒ Distance is measured and thus it is a continuous random variable.

8 0

3 years ago

Given the equations 4x−py=6 and 5x+7y=10, find (a) the value of p that makes the lines parallel and (b) the value of p that make

Lubov Fominskaja [6]

Step-by-step explanation:

(a) the value of p that makes the lines parallel :

=> -4/-p = -5/7

5p = 7×(-4)

5p = -28

p = -28/5 = -5.6

(b) the value of p that makes the lines perpendicular :

=> -4/-p = -1 ÷ (-5/7)

4/p = 7/5

7p = 4×5

7p = 20

p = 20/7 = 2.86

5 0

3 years ago

A dilation has center (0, 0). Find the image of each point for the given scale factor. C(3, -6); D(5/3) (C)

irina1246 [14]

Answer: C. (5, -10)

Step-by-step explanation:

When we have a point (x, y) and we do a dilation around (0,0) with a scale factor of A.

The new point will be:

(A*x, A*y)

in this case, the point is (3, -6) and the scale factor is (5/3)

Then the new point will be:

(3*(5/3), -6*(5/3)) = (5, -10)

8 0

3 years ago

What is 1,694,072 x 1,937,830

Ilya [14]

The answer would be 3,282,823,543,760

P.s you could just use a calculator instead of ur points.

5 0

3 years ago

a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?

Kruka [31]

Find the length of the radius.

$r= \sqrt{(3-(-4))^2+(5-6)^2}
\\r = \sqrt{7^2+(-1)^2}
\\r= \sqrt{50} 
\\ r=5 \sqrt{2}$

Find the length of the diameter.

d = 2r = 2 × 5√2 = 10√2

Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)

$y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)
\\y-6= \frac{5-6}{3-(-4)} (x-(-4))
\\y-6=- \frac{1}{7} (x+4)
\\7y-42=-x-4
\\x+7y-38=0$

The distance from B(x, y) to C(3, 5) is 5√2.
$\sqrt{(x-3)^2+(y-5)^2}=5 \sqrt{2} 
 \\(x-3)^2+(y-5)^2=(5 \sqrt{2})^2 
\\(x-3)^2+(y-5)^2=50$

Solve system of equations.
$x+7y-38=0
\\(x-3)^2+(y-5)^2=50
\\
\\x=38-7y
\\(38-7y-3)^2+(y-5)^2=50
\\(35-7y)^2+(y-5)^2=50
\\1225-490y+49y^2+y^2-10y+25-50=0
\\50y^2-500y+1200=0
\\y^2-10y+24=0
\\y^2-6y-4y+24=0
\\y(y-6)-4(y-6)=0 \\(y-6)(y-4)=0 \\y_1=6,y_2=4
$

$x_1=38-7y_1=38-7 \times 6 = 38-42=-4
\\x_2=38-7y_2=38-7 \times 4 = 38-28=10
$

Point B could have coordinates
$\\
\\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4)
$

But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).

8 0

4 years ago