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OLga [1]
3 years ago
10

A population has a mean µ = 6 and ∑x = 48. How many scores are in the population?

Mathematics
2 answers:
Ivahew [28]3 years ago
5 0

Answer:

8

Step-by-step explanation:

mean=(total)/(number of terms )

number of terms=total/mean=∑x/μ=48/6=8

maks197457 [2]3 years ago
4 0

Answer:

8

Step-by-step explanation:

Recall the formula for the population mean of a data set:

\mu=\frac{\sum x}{N}

We already know that μ is 6 and the sum is 48. Substitute:

6=\frac{48}{N}

Divide both sides by 48:

\frac{1}{8}=\frac{1}{N}

Reciprocal of both sides:

N=8

Thus, there are 8 scores in the population size.

And we're done!

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2 years ago
How much of a radioactive kind of thorium will be left after 14,680 years if you start with
babymother [125]

Answer:

8978 grams

Step-by-step explanation:

The equation to find the half-life is:

N(t)= N_{0}e^{-kt}

N(t) = amount after the time <em>t</em>

N_{0} = initial amount of substance

t = time

It is known that after a half-life there will be twice less of a substance than what it intially was. So, we can get a simplified equation that looks like this, in terms of half-lives.

N(t)= N_{0}e^{-\frac{ln(\frac{1}{2}) }{t_{h} } t} or more simply N(t)= N_{0}(\frac{1}{2})^{\frac{1}{t_{h} } }

t_{h} = time of the half-life

We know that N_{0} = 35,912, t = 14,680, and t_{h}=7,340

Plug these into the equation:

N(t) = 35912(\frac{1}{2})^{\frac{14680}{7340} }

Using a calculator we get:

N(t) = 8978

Therefore, after 14,680 years 8,978 grams of thorium will be left.

Hope this helps!! Ask questions if you need!!

8 0
2 years ago
What is the arc measure of AEB in degrees
jasenka [17]

Answer:

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Step-by-step explanation:

As AD and CE are the diameters of circle P, so that they intersect each other at point P.

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As we can see, ∡CPA = ∡CPB + ∡BPA =38 + ∡BPA

=> ∡BPA = ∡CPA - 38 = 93 - 38 = 55 degree

As P is the centre of the circle, so that ∡BPA is equal to the measure of the arc AB, equal to 55 degree.

In the circle P, the total measure of arc AEB and arc AB are 360 degree

=> arc AEB + arc AB = 360

=> arc AEB = 360 - arc AB = 360 - 55 = 305

So that the measure of arc AEB is 305 degree

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