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nydimaria [60]
3 years ago
14

The half-life of chromium−51 is 27.8 days. How much of a 7.6−oz sample of chromium−51 will remain after 139 days?

Mathematics
1 answer:
In-s [12.5K]3 years ago
6 0
Ending Amount = Beginning Amount / 2^n
where "n" is the number of half-lives
n = 139 / 27.8 = 5 half-lives
Ending Amount = 7.6 oz / 2^5
Ending Amount = 7.6 oz / 32
Ending Amount = .2375 ounces

Source:
http://www.1728.org/halflife.htm


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Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce
Alla [95]

Answer:

The percentage is P(350 <  X  650 ) = 86.6\%

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  =  500

     The standard deviation is  \sigma  =  100

The  percent of people who write this exam obtain scores between 350 and 650    

    P(350 <  X  650 ) =  P(\frac{ 350 -  500}{ 100}

Generally  

               \frac{X -  \mu }{\sigma }  =  Z (The \  standardized \  value \ of  \  X )

   P(350 <  X  650 ) =  P(\frac{ 350 -  500}{ 100}

   P(350 <  X  650 ) =  P(-1.5

   P(350 <  X  650 ) =  P(Z < 1.5) -  P(Z <  -1.5)

From the z-table  P(Z <  -1.5 )  =  0.066807

   and P(Z < 1.5  ) =  0.93319

=>    P(350 <  X  650 ) =  0.93319 -  0.066807

=>  P(350 <  X  650 ) = 0.866

Therefore the percentage is  P(350 <  X  650 ) = 86.6\%

3 0
3 years ago
. Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement b
Umnica [9.8K]

Answer: a.This is the average number of days the house stayed on the market before being sold for $150,000.


Step-by-step explanation:

Given: f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s.

To find the meaning f(150),

here p= 150 which means f(150) is the average number of days a house stays on the market before being sold for price 150 in $1,000s.

And 150 in $ 1,000= $150,000

Therefore, f(150) is the average number of days a house stays on the market before being sold for price $150,000.


7 0
3 years ago
Read 2 more answers
if the current batch of pills is the first of the day and your goal is to produce a total of 600 what percentage of your goal wi
Zanzabum

Answer:

<u>12.5% ≈ 13%</u>

Step-by-step explanation:

The rest of the question is: There are 75 pills in the batch.

The current batch of pills is the first of the day and our goal is to produce a total of 600.

If there are 75 pills in the batch so percentage of goal completed will be

[(number of pills in the batch)/(Total pills)] * 100

\frac{75}{600}*100 = 12.5 \%

≈ 13% to the nearest whole number

7 0
3 years ago
Find the standard form of the equation of the parabola with the given characteristics
lord [1]

Answer:

Step-by-step explanation:

The standard equation of a parabola is

y² = 4ax

where, a is the focus,

The coordinates of the centre of parabola is (0,0)

coordinates of focus is (a, 0)

It is symmteric about the x axis

the equation of directrix is x = -a.

5 0
4 years ago
This is 10 points plz help ( NO LINKS )
WINSTONCH [101]

Answer:

side A is 18.75 cm² greater than side B

Step-by-step explanation:

area of A = 12.5 x 7.5 = 93.75 cm²

area of B = 10 x 7.5 = 75 cm²

93.75 - 75 = 18.75 cm²

6 0
3 years ago
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