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vaieri [72.5K]
3 years ago
7

Which of the following describes an example of independent events? A. generating a random number between 1 and 25, and then gene

rating another random number between 1 and 25, excluding the first one picked B. generating a random number between 1 and 25, and then generating another random number between 1 and 25, including the first one picked C. generating a random number between 2 and 25, and then generating another random number less than the first one picked D. generating a random number between 1 and 24, and then generating another random number greater than the first one picked
Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

Answer:

B is correct

Step-by-step explanation:

A, C, and D all depend on the first event in some way, but B is the only one that does not depend on the first event in any way.

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If you are 600 m from a batter when you see him hit a ball, how long will you wait to hear the sound of the bat hitting the ball
Molodets [167]

Answer:

<em>The speed of sound at 20°C is 343.42 m/s.</em>

<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>

Step-by-step explanation:

<u>Speed of Sound</u>

The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.

The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}

The air is at T=20°C, thus the speed of sound is:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}

v_{\mathrm {s} }=343.42\ m/s

The speed of sound at 20°C is 343.42 m/s.

To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

\displaystyle v=\frac{d}{t}

Where d is the distance and t is the time. Solving for t:

\displaystyle t=\frac{d}{v}

Substituting the values v=343.42 m/s and d=600 m:

\displaystyle t=\frac{600}{343.42}

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

6 0
3 years ago
The ratio of chaperones to students on a field trip to New York City is 2 to 11. If there are 297 students on the trip, how many
Olenka [21]
297/11 = 27

So we have 27 groups of 11 students. If there are 2 chaperones for every 11 students, then we can do:

27x2=54

There are 54 chaperones on the field trip.
7 0
3 years ago
Please help ASAP!!! Thank you so much!!! Just want confirm my answer it is y=150x-50. A concession stand at a football game took
jekas [21]

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

=============================================

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

m = (y2 - y1)/(x2 - x1)

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b =  -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

-------

As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

3 0
3 years ago
If 84 cookies will serve 24 students, how many cookies are needed for 30 students ?
allsm [11]
105 cookies
84 \div 24 = 3.5
3.5 \times 30 = 105
6 0
3 years ago
Read 2 more answers
Which are the roots of the quadratic function f(b)=b^2-75? Check all that apply.
barxatty [35]
A and B ............................
5 0
3 years ago
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