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wolverine [178]
3 years ago
12

A survey of 500 students in a school found that about 100 households consist of only vegetarians, 240 consist of vegetarians and

non-vegetarians, and 160 consist of non vegetarians.
a. What is the probability that one of the households surveyed, chosen at random, consists of vegetarians or non vegetarians?
Mathematics
1 answer:
RideAnS [48]3 years ago
4 0
100+160/500 consist of only vegetarians, or only non-vegetarians, which equal 260/500=13/25 probability. ☺☺☺☺
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Since at t=0, n(t)=n0, and at t=∞, n(t)=0, there must be some time between zero and infinity at which exactly half of the origin
Airida [17]
Answer: t-half = ln(2) / λ ≈ 0.693 / λ

Explanation:

The question is incomplete, so I did some research and found the complete question in internet.

The complete question is:

Suppose a radioactive sample initially contains N0unstable nuclei. These nuclei will decay into stable nuclei, and as they do, the number of unstable nuclei that remain, N(t), will decrease with time. Although there is no way for us to predict exactly when any one nucleus will decay, we can write down an expression for the total number of unstable nuclei that remain after a time t:

N(t)=No e−λt,

where λ is known as the decay constant. Note that at t=0, N(t)=No, the original number of unstable nuclei. N(t) decreases exponentially with time, and as t approaches infinity, the number of unstable nuclei that remain approaches zero.

Part (A) Since at t=0, N(t)=No, and at t=∞, N(t)=0, there must be some time between zero and infinity at which exactly half of the original number of nuclei remain. Find an expression for this time, t half.

Express your answer in terms of N0 and/or λ.

Answer:

1) Equation given:

N(t)=N _{0} e^{-  \alpha  t} ← I used α instead of λ just for editing facility..

Where No is the initial number of nuclei.

2) Half of the initial number of nuclei: N (t-half) =  No / 2

So, replace in the given equation:

N_{t-half} =  N_{0} /2 =  N_{0}  e^{- \alpha t}

3) Solving for α (remember α is λ)

\frac{1}{2} =  e^{- \alpha t} 

2 =   e^{ \alpha t} 

 \alpha t = ln(2)

αt ≈ 0.693

⇒ t = ln (2) / α ≈ 0.693 / α ← final answer when you change α for λ




4 0
3 years ago
A cheetah ran 230 feet in 1.932 seconds. What is the cheetah's speed in miles per hour?
Bumek [7]

Answer:

The answer to your question is speed = 81.5 mi/h

Step-by-step explanation:

Data

distance = 230 ft

time = 1.932 s

speed = ? mi/h

Process

1.- Convert the distance to mi

                1 mile ----------------- 5280 ft

                 x        ----------------- 230 ft

                 x = (230 x 1) / 5280

                 x = 0.044 mi

2.- Convert time to hours

                 1 h    ------------------ 3600 s

                  x      ------------------ 1.932 s

                        x = (1.932 x 1) / 3600

                        x = 0.00054 h

3.- Calculate the speed

speed = distance / time

-Substitution

speed = 0.044/ 0.00054

-Result

speed = 81.5 mi/h

         

4 0
3 years ago
4x + 1 = 3x + 5 what’s the answer?
Scilla [17]

Answer:

the answer is x=4!!!!!!!

8 0
3 years ago
If Z is the midpoint of RT , what are x, RZ AND RT?
Novosadov [1.4K]
Since z is the midpoint, rz and zt must be equal

4x - 15 = 25

4x = 40

X = 10
Plug the answer in and rz equals 40-15 which is 25.

25 + 25 = 50

Or if you really wanted, since you know 25 is half, just add them together right off the bat. (25 and 25, I mean)



5 0
3 years ago
Read 2 more answers
The points (x, 3) and (-2, 2) have a slope of 1. What is the x-coordinate of the point<br> (x, 3)?
Naya [18.7K]

Answer:

(-1,3)

Step-by-step explanation:

The slope is given by

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

1 = (2-3)/(-2-x)

Multiply each side by (-2-x)

(-2-x) = -1

Multiply by -1

2+x = 1

Subtract 2 from each side

2+x-2 = 1-2

x = -1

7 0
3 years ago
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