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Anit [1.1K]
3 years ago
6

If there are 360 g of radioactive material with a half life (decreased by half or 50% )of 1 hour, how much of the radioactive ma

terial will be left after 4 hours ?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
5 0

After 1 hour, 360 g decays to 180 g.

After another hour (total 2 hours), 180 g decays to 90 g.

After another hour (total 3), 90 g decays to 45 g.

After one more (total 4), 45 g decays to 22.5 g.

More quickly, with a half-life of 1 hour, the 360 g of starting material decays to

(360 g) / 2⁴ = 22.5 g

In general, if the half-life is 1 hour, then after <em>n</em> hours, an initial amount <em>A</em> of this substance decays according to

<em>A</em> / 2<em>ⁿ</em>

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Step-by-step explanation:

Its % of 360 degrees so you have to calculate the percentage of each categorie on 360 degrees to find the angles. Exemple, for the Other needs, you take 7% out of 360 degrees and you find that it is equal to 25,2. (7% x360 degrees /100)

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S1 is congruent to S2

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3 years ago
24-4x=32<br><br><br> Show your work
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2 years ago
Read 2 more answers
For women aged 19-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation
Mrac [35]

Answer: p = 0.00714

Step-by-step explanation:

Since the population standard deviation of the distribution is known, the z test ( which produces the z score) is the perfect test for finding the probability of the data set in the question.

From the question,

Population mean (u) = 114.8

Sample mean (x) = 121.5

Population standard deviation (σ) = 13.1

Sample size (n) = 23

The z score formulae is given below as

Z = x - u/σ/√n

Z = 121.5 - 114.8/(13.1/√23)

Z = 6.7/(13.1/√23)

Z = 6.7/2.731

Z = 2.45.

The question is interested in knowing the probability of mean systolic blood pressure greater than 121.5.

This implies that we are looking for the probability at which our z score is greater than 2.45: P(z>2.45)

The z score (z=2.45) has divided the distribution into two regions, z< 2.45 ( area to the left of the distribution) and z>2.45 ( area to the right of distribution).

Hence, p(z>2.45) + p(z<2.45) = 1

To get a the probability, we have to use a standard normal distribution table.

The table we have here gives probability of the distribution to the left ( that's area towards the left), hence we need to find p(z<2.45) first

From the table p(z<2.45) = 0.99286

But p(z>2.45) = 1 - p(z<2.45)

p(z>2.45) = 1 - 0.99286

p(z>2.45) = 0.00714

8 0
3 years ago
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