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Natali5045456 [20]

2 years ago

6

Sicilia randomly selected 25% percent of the Sound Sleep email subscribers and asked them how many hours of sleep they average e

ach night. Of the subscribers surveyed, 16 average less than 6 hours of sleep each night.
Based on the data, what is the most reasonable estimate of the number of Sound Sleep email subscribers who average less than 6 hours of sleep?

1 answer:

Fofino [41]2 years ago

8 0

The answer would be 64, because 25% is a quarter of 100. That means you would have to multiply 16 by 4.

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According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 p

Feliz [49]

Answer:

Step-by-step explanation:

a )

sample mean = sum total of given data / no of data

= 415.35 / 20 = 20.76

To calculate the median we arrange the data in ascending order and take the average of 10 th and 11 th term .

= 20.50 + 20.72 / 2

= 20.61

b ) To calculate the 10% trimmed mean , we neglect the largest 10% and smallest 10 % data and then calculate the mean . Here we neglect the first two smallest and last two greatest

(18.92 + 19.25 ..... + 22.43 + 22.85) / 16

= 20.74

c )

We can easily plot the data on number line from 17 to 24

d )

Maximum value of data set = 23.71 and minimum value is 18.04

mean is 20.76 , median is 20.61 and trimmed mean is 20.74

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4 0

2 years ago

If HJ= 7x-27 . Find the value of x

Alinara [238K]

we are given

$HJ=7x-27$

Since, we have to solve for x

so, we will isolate x on anyone side

step-1: Add both sides 27

$HJ+27=7x-27+27$

$HJ+27=7x$

step-2: Divide both sides by 7

$HJ+27=7x$

$\frac{HJ+27}{7}= \frac{7x}{7}$

now, we can simplify it

$\frac{HJ+27}{7}= x$

$x=\frac{HJ+27}{7}$ ................Answer

7 0

2 years ago

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Malia split up the large container of salsa that she bought into 5 bowls to place around her house for the party if each Bowl co

Hoochie [10]

Answer:

You never gave the answer choices but it should look something like this.

5 ⋅ 8.5 = x

or

x / 5 = 8.5

as for x. X=42.5

3 0

2 years ago

Which of the following shows the extraneous solution to the logarithmic equation? log Subscript 4 Baseline (x) + log Subscript 4

vekshin1

<u>Given:</u>

The given equation is $\log _{4}(x)+\log _{4}(x-3)=\log _{4}(-7 x+21)$

We need to determine the extraneous solution of the equation.

<u>Solving the equation:</u>

To determine the extraneous solution, we shall first solve the given equation.

Applying the log rule $\log _{c}(a)+\log _{c}(b)=\log _{c}(a b)$ , we get;

$\log _{4}(x(x-3))=\log _{4}(-7 x+21)$

Again applying the log rule, if $\log _{b}(f(x))=\log _{b}(g(x))$ then $f(x)=g(x)$

Thus, we have;

$x(x-3)=-7 x+21$

Simplifying the equation, we get;

$x^2-3x=-7 x+21$

$x^2+4x=21$

$x^2+4x-21=0$

Factoring the equation, we get;

$(x-3)(x+7)=0$

Thus, the solutions are $x=3, x=-7$

<u>Extraneous solutions:</u>

The extraneous solutions are the solutions that does not work in the original equation.

Now, to determine the extraneous solution, let us substitute x = 3 and x = -7 in the original equation.

Thus, we get;

$\log _{4}(3)+\log _{4}(3-3)=\log _{4}(-7 \cdot 3+21)$

$\log _{4}(3)+\log _{4}(0)=\log _{4}(0)$

Since, we know that $\log _{a}(0)$ is undefined.

Thus, we get;

Undefined = Undefined

This is false.

Thus, the solution x = 3 does not work in the original equation.

Hence, x = 3 is an extraneous solution.

Similarly, substituting x = -7, in the original equation. Thus, we get;

$\log _{4}(-7)+\log _{4}(-7-3)=\log _{4}(-7(-7)+21)$

$\log _{4}(-7)+\log _{4}(-10)=\log _{4}(49+21)$

$\log _{4}(-7)+\log _{4}(-10)=\log _{4}(70)$

Simplifying, we get;

Undefined = $\log _{4}(70)$

Undefined = 3.06

This is false.

Thus, the solution x = -7 does not work in the original solution.

Hence, x = -7 is an extraneous solution.

Therefore, the extraneous solutions are x = 3 and x = -7

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1 year ago

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Nuetrik [128]

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2 years ago

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