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charle [14.2K]
3 years ago
14

Courtney and Alan are conducting an experiment. Every time Courtney flips a fair two-sided coin, Alan rolls a six-sided die. Wha

t is the probability that the coin will land on heads and the die will land on 2?
A. 2 / 3


B. 1 / 8


C. 1 / 6


D. 1 / 12
Mathematics
2 answers:
Naily [24]2 years ago
7 0

Answer:

I think the answer is D. 1/12

allsm [11]2 years ago
6 0

Courtney and Alan are conducting an experiment. Every time Courtney flips a fair two-sided coin, Alan rolls a six-sided die. What is the probability that the coin will land on heads and the die will land on 2?

( D. 1/ 12 )

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You have a basketball trophy in your room. The ball on the trophy has a diameter of 9 inches. What the volume of the ball?
saveliy_v [14]

Answer:

381.51 in^3

Step-by-step explanation:

Volume of a sphere = 4/3 x pi x r^3

r = 9/2 = 4.5

4/3 x 3.14 x 4.5^3 = 381.51 in^3

7 0
3 years ago
Use the graph to find the cost of 6 show tickets.
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The lines y = 2x - 1 and y = -2x + 3 intersect at exactly one point which means this system has exactly one solution. so the system is consistent and independent 
3 0
3 years ago
Find the coordinates of the points of intersection of the graph of y=13−x with the axes and compute the area of the right triang
Ymorist [56]

the coordinates of the points of intersection of the graph of y=13−x with the axes

Given equation is y=13-x

x axis is x=0

y axis is y=0

Plug in the value of x =0 and find out y

y = 13 - x

y = 13 - 0 = 13

Plug in the value of y=0 and find out x

0 = 13 - x

x= 13

So coordinate axis

x= (13,0)

y= (0,13)

Base of the triangle is x=13

Height of the triangle is y= 13

Area of the triangle = \frac{1}{2} * base * height

= \frac{1}{2} * 13 * 13 = 84.5

Area of the triangle = 84.5


6 0
3 years ago
Identify the function as exponential growth or decay. y = a * (8/5) ^ 0
sukhopar [10]

Answer:

We conclude that the function represents exponential growth.

Step-by-step explanation:

Given the function

y=a\left(\frac{8}{5}\right)^t

As the function is of the form

  • y=abˣ

and base 'b' > 1

We know that when the base 'b' of the exponential function > 1, meaning those numbers will get bigger, we call it exponential growth.

As b=8/5 is bigger than 1.

i.e. 8/5 > 1

Thus, we conclude that the function represents exponential growth.

4 0
3 years ago
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at
vitfil [10]

Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)

Answer:

\frac{dx}{dt}=11.94m/min

Step-by-step explanation:

From the question we are told that

Slant height z=29m

Change in Vertical height  \triangle y=7m/s

Horizontal length x=21

Generally in finding the distance form the  top to the bottom of the wall it is mathematically given by

 x^2+y^2=z^2

 21^2+y^2=29^2

 y^2=29^2+21^2

 y=35.81

Generally solving for the differential equation is mathematically represented as

 x^2+y^2=29^2

 2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0

 x*\frac{dx}{dt} +y*\frac{dy}{dt} =0

 (21)*\frac{dx}{dt} +(35.81)*(-7) =0

 (21)*\frac{dx}{dt} -250.64 =0

 \frac{dx}{dt}=\frac{250.64}{21}

 \frac{dx}{dt}=11.94m/min

5 0
3 years ago
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