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3 years ago

How do you find the domain of f(x)=lnlnlnx

1 answer:

6 0

We have to find the domain of the function:
f ( x ) = ln ln ln x
x > 0
ln x > 0
x > 1
and finally: ln ( ln x ) > 0
ln x > 1
x > e
Answer:
Domain is: x ∈ ( e , + ∞ ).

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A sleep time of 15.9 hours per day for a newborn baby is at the 10h percentile of the distribution of sleep times for all newbor

Step2247 [10]

The mean time in hours per day for newborn babies is 16.5 hours ⇒ D

Step-by-step explanation:

A sleep time of 15.9 hours per day for a newborn baby is at the 10th

percentile of the distribution of sleep times for all newborn babies

Assuming the distribution is normal with a standard deviation of

0.5 hour

To find the mean time let us do that

1. Use the normal distribution table to find the corresponding z-score

for 10th percentile

2. Use the rule μ = x - zσ, where μ is the mean, σ is the standard

deviation and x is the score

3. Substitute the values of x, σ and z in the rule to find μ

Look to the normal distribution table to find z-score that equivalent

to the area = 10/100 = 0.1 (10th percentile)

∵ z-score = -1.28

∵ σ = 0.5 hour

∵ x = 15.9

∵ μ = x - zσ

- Substitute the values in the rule

∴ μ = 15.9 - (-1.28)(0.5)

∴ μ = 15.9 + 0.64

∴ μ = 16.54 ≅ 16.5 hours

The mean time in hours per day for newborn babies is 16.5 hours

Learn more:

You can learn more about the normal distribution curve in brainly.com/question/8799684

#LearnwithBrainly

6 0

3 years ago

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

hammer [34]

Answer: option d.

Step-by-step explanation:

If y varies directly as x and z, the form of the equation is:

$y=kxz$

Where k is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for k:

$4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}$

Substitute the value of k into the expression. Then, the equation is:

$y=\frac{2}{3}xz$

To find the value of y when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

$y=k=\frac{2}{3}(7)(4)$

$y(7,4)=\frac{56}{3}$

5 0

2 years ago

Read 2 more answers

Reflection across the y-axis B(1,3), H(4,4), D(4,-1)

shtirl [24]

B wpuld be (-1,3), H would be (-4,4), and D would be (-4,-1). Hope this helps and please give Brainliest!

3 0

3 years ago

What is 32767/32768 as a reduced fraction?

Anit [1.1K]

32,767/32,768 is in lowest terms and can't be reduced.

8 0

3 years ago

a dollhuse has a bed with diemesions 1/12 size of a queen size bed has an area of 4,800 square inches, and a length of 80 inches

aliina [53]

Divid to get the other side :) so if the doll house is 1/12 of the queen size bed you divid each side by 12 see. 4800/80=60. 80/12=6.6667.... so 60/12=5. so then 5x6 1/3. hope this helps you ... goood luck! :)

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3 years ago

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