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Nat2105 [25]
3 years ago
8

The scores on a quiz are normally distributed. The mean of the quiz is 93 and the standard deviation is 4.2. By using the Empiri

cal rule, what scores fall 1 standard deviation from the mean?
89 and 101

84.6 and 101.4

89.2 and 96.8

88.8 and 97.2
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0

Answer:

any score that lies between 88.8 and 97.2 is within one std. dev. of the mean

Step-by-step explanation:

One std. dev. above the mean would be 93 + 4.2, or 97.2.  One std. dev. below the mean would be 93 - 4.2, or 88.8.

So:  any score that lies between 88.8 and 97.2 is within one std. dev. of the mean.

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What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl
Brums [2.3K]

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

A(t) = A(0)(1+r)^t

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that r = 0.05, and thus:

A(t) = A(0)(1+r)^t

A(t) = A(0)(1+0.05)^t

A(t) = A(0)(1.05)^t

Time for the balance to triple?

This is t for which A(t) = 3A(0). So

A(t) = A(0)(1.05)^t

3A(0) = A(0)(1.05)^t

(1.05)^t = 3

\log{(1.05)^t} = \log{3}

t\log{1.05} = \log{3}

t = \frac{\log{3}}{\log{1.05}}

t =  22.52

It takes 22.52 years for the balance to triple in value.

3 0
3 years ago
On a coordinate plane, two parabolas open up. The solid-line parabola goes through (1, 3), has a vertex at (3, negative 1), and
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c.right 3 units, down 1 unit

Step-by-step explanation:

4 0
2 years ago
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The surface area is 1536
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3 years ago
(3?2)+(4?1)to the power of 2=10
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Sol_

( 3 - 2 ) + ( 4 - 1 ) ^ 2

= 1 + 3^2

= 1 + 9

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Answer is " - " .

hope it helped !

Thanks!

3 0
3 years ago
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