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3 years ago

The half-life of a radioactive kind of radium is 11 days. If you start with 72 grams of it, how

Mathematics

1 answer:

NISA [10]3 years ago

4 0

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the concept of Radioactive decay.

N(t) = 72(1/2)^22/11

==> N(t) = 72 (1/2)^2

==> N(t) = 72/4

==> N(t) = 18 grams.

So the remaining would be 18 grams.

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The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52 m^2. Find the dimensions of the

lys-0071 [83]

length is 8m

Width is 6.5m

<u>Explanation:</u>

Let, width = b

So, length = 2b-5

area = 52 $m^{2}$

We know,

area of rectangle = length X width

So, $52m^{2}$ = $(2b-5) X b$

On solving the above equation, we get

Width, b = 6.5m

length, l = 8m

4 0

3 years ago

I cant figure this out its x+1 > 8 then<br> x= __. its inequalities math thank you

olganol [36]

Answer:X is any number more than 7

Source:trust me bro

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3 years ago

Read 2 more answers

The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per w

alukav5142 [94]

Answer:

The standard deviation of number of hours worked per week for these workers is 3.91.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem we have that:

The average number of hours worked per week is 43.4, so $\mu = 43.4$ .

Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.

This means that the Z score of $X = 48$ has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use $Z = 1.175$ .