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Temka [501]
3 years ago
10

During a rock concert, the noise level (in decibels) in front row seats has a mean of 92 dB with a standard deviation of 9 dg_ W

ithout
assuming a normal distribution, find the minimum percentage of noise level readings within 8 standard deviations of the mean. (Round
your answer to 2 decimal places.)
Minimum percentage

Mathematics
1 answer:
rodikova [14]3 years ago
6 0

Answer:

The minimum percentage of noise level readings within 8 standard deviations of the mean is 98.44%.

Step-by-step explanation:

When we do not know the shape of the distribution, we use the Chebyshev's Theorem to find the minimum percentage of a measure within k standard deviations of the mean.

This percentage is:

p = 1 - \frac{1}{k^{2}}

Within 8 standard deviations of the mean

This means that k = 8. So

p = 1 - \frac{1}{8^{2}} = 1 - \frac{1}{64} = \frac{64 - 1}{64} = \frac{63}{64} = 0.9844

The minimum percentage of noise level readings within 8 standard deviations of the mean is 98.44%.

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What is the equation of the line in slope-intercept form? ​
ElenaW [278]

Answer:

y=1/2x-2

Step-by-step explanation:

RIse / run

find a point then go up one and right two to the next point which gives you 1/2

the y intercept is -2 because thats where the line is interceting

6 0
2 years ago
Find the slope of the given line, if it is defined.
il63 [147K]

Answer:  A. The slope is -\dfrac{4}{3}.

Step-by-step explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

\text{Slope}=\dfrac{d-b}{c-a}

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}

Hence, the slope is -\dfrac{4}{3}.

8 0
2 years ago
Find the percent of decrease from 240 to 120. Round to the nearest tenth of a percent, if necessary.
KiRa [710]

the difference from 240 to 120 is 50%

3 0
3 years ago
a painter bought 8 gallons of paint just enough to cover 2 rooms. One room is twice the size of the other and requires only 2 co
e-lub [12.9K]
So, he's got 8 gallons of paint, to paint the two rooms, of the two rooms, one is twice as big as the other

now, "x" is how many gallons to paint the larger room with only one coat, however, the larger room uses 2 coats, so, the larger room uses 2x of paint
now, the client declined to paint the smaller one

so hmmm as I read... well, we dunno how many coats will go to the smaller room for one, we know the larger will use 2 coats, or 2x.. if we assume the smaller room was going to use say 1 coat or 1/2x

then one can say the painter bought enough for both rooms, 1coat for the small one and 2coats for the larger one

so, the paint the larger room, you'll 2x of paint, for 2coatsand to paint the smaller room, you'll need 1/2 x, because x gallons is how much is needed for the larger room, but the larger room is twice as big, thus the smaller room uses 1/2 of that in gallons

thus, with those assumptions, that the small room will use only 1 coat
\bf \cfrac{1}{2}x+2x=8\implies \cfrac{5x}{2}=8\implies x=\cfrac{16}{5}
that's who many gallons are needed for 1 coat in the larger roomrecall "x" is 1coat for the larger room

now, the client decides to skip the smaller roomso, the painter will only need 2x gallons then

\bf 2x\implies 2\cdot \cfrac{16}{5}\implies \cfrac{32}{5}\implies 6.4\ gallons

he bought 8 gallons, 8 - 6.4, he's got left 1.6 gallons
3 0
3 years ago
Read 2 more answers
What is the product of (3x+7) and (x-7) ?
sleet_krkn [62]

Answer: The product of (3x+7) and (x-7) equals 3x^2 + 28x + 49

Step-by-step explanation:

To find the product of (3x+7) and (x-7) means to multiply both variables: To multiply both variables, we first multiply 3x by the expression, x - 7, then multiply 7 by the expression, x - 7.

(3x × x) +( 3x × 7) + (7 × x) + ( 7 × 7)

= 3x^2 + 21x + 7x + 49

= 3x^2 + 28x + 49

4 0
3 years ago
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