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Charra [1.4K]
3 years ago
9

In a shipment of new books for a library 3/12 of the books were poetry and 2/5 of the books were biographies . The remainder of

the books in the shipment were mysteries. What fraction of the books in the shipment were mysteries?
Mathematics
1 answer:
Pepsi [2]3 years ago
6 0

Answer:

Step-by-step explanation:

2/5x3/12=6/36

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A radioactive isotope has a rate of decay of 84%. that is, every day,
Paul [167]

The half life of the radioactive isotope to the nearest tenth is  0.83 days.

<h3>What is rate of radioactive decay?</h3>

The rate of radioactive decay is the rate at which a radioactive isotope is disintegrated. The half life is the time taken for half of the original amount of radioactive isotope to remain.

Given that;

t/12 = 0.693/k

Where;

t1/2 - half life

k =decay constant

t/12 = 0.693/0.84

t/12 = 0.83 days

Learn more about half life:brainly.com/question/24710827

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7 0
2 years ago
A large on-demand, video streaming company is designing a large-scale survey to determine the mean amount of time corporate exec
Firdavs [7]

Answer:

554 executives should be surveyed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Standard deviation of 3 hours.

This means that \sigma = 3

The 95% level of confidence is to be used. How many executives should be surveyed?

n executives should be surveyed, and n is found with M = 0.25. So

M = z\frac{\sigma}{\sqrt{n}}

0.25 = 1.96\frac{3}{\sqrt{n}}

0.25\sqrt{n} = 1.96*3

\sqrt{n} = \frac{1.96*3}{0.25}

(\sqrt{n})^2 = (\frac{1.96*3}{0.25})^2

n = 553.2

Rounding up:

554 executives should be surveyed.

8 0
3 years ago
One way of solving systems of linear equations is by adding a multiple of one equation to the other. the multiplier for one equa
elena-s [515]
We want to use elimination to solve
y = 0                     (1)
x + y = 40             (2)

Multiply (1) by -1 to eliminate y.
-y = 0                    (3)

Add (2) and (3).
x + y + (-y) = 40 + 0
x = 40

Answer: Multiply by -1.
3 0
3 years ago
What is 7 3/8 + 2 1/8
Ksivusya [100]

Answer:

9.5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Pls help. What is the appropriate congruent for these triangles
tekilochka [14]

Answer:

ASA

Step-by-step explanation:

In given triangle

Line BC = Line QR

Angle ABC = Angle PQR

Angle ACB = Angle PRQ

Computation:

Angle ABC = Angle PQR (Angle)

Line BC = Line QR (Side)

Angle ACB = Angle PRQ (Angle)

So,

ΔABC ≅ ΔPQR

By Angle Side Angle property

ASA

5 0
3 years ago
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