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morpeh [17]
3 years ago
8

Q log a -3 log b Condense logarithm

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0

Answer:

Step-by-step explanation:

q log a is equivalent to log a^q.  Note:  This assumes that the base of your logarithmic system is 10.

-3 log b is equivalent to log b^(-3)

and so   q log a -3 log b  in condensed logarithm form is

log {a^q*b^(-3)}

                 a^q

or log  -----------------

                 b^3    

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A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep dep
Thepotemich [5.8K]

Answer: n = 600.25 ≈ 601 ( sample size)

the minimum sample size of the adults in United State who have sleep deprivation  is 601

Step-by-step explanation:

Given that;

the confidence level = 95% = 0.05

the Margin of error E = 4% = 0.04

∴  level of significance ∝ = 1 - C.L

∝ = 1 - (95/100)

= 0.05

Z∝/2 = 0.05/2 = 0.025

Z-critical value at 95% confidence level is OR level of significance at 0.025 = 1.96 (z-table)

Now to calculate the sample size, we say

n = (Z(critical) / M.E )² P ( 1 - P)

now we substitute

n =  (1.96 / 0.04)² × 0.5 ( 1 - 0.5)

n = 2401 × 0.5 × 0.5

n = 600.25 ≈ 601

Therefore the minimum sample size of the adults in United State who have sleep deprivation  is 601

6 0
3 years ago
The weather report says the temperature is 20°c and will drop 5°c per hour for the next 6 hours. Daryl plans to be gone at least
lubasha [3.4K]

The inequality equation will be -5x + 20 < -10.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign.

The weather report says the temperature is 20°c and will drop 5°c per hour for the next 6 hours.

Daryl plans to be gone at least 6 hours, and he has a plant outside.

If he wants the plant to remain in temperatures above -10° should Daryl move the plant to a warmer location before leaving will be

The inequality equation will be

-5x + 20 < -10

where x is the number of hours.

Then we have

-10 < -5x + 20

5x > 30

   x > 6 hours

More about the inequality link is given below.

brainly.com/question/19491153

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5 0
1 year ago
X to the third plus x minus 7 equals -3 square root of x - 1
Ugo [173]

Answer:

  x ≈ 1.5004

Step-by-step explanation:

We suppose your equation is ...

  x^3+x-7=-3\sqrt{x-1}

Squaring both sides and subtracting the right side gives ...

  x^6 +2x^4 -14x^3 +x^2 -23x +58 = 0

This 6th-degree equation has two positive real roots, near x=1.5, and x=2. The root at x=2 is extraneous. The one near x=1.5 is irrational.

5 0
2 years ago
Which of the following are independent events?
Oduvanchick [21]
D , because they are both completely unrelated which means one does not depend on the other. bringing an umbrella is independent from going to school knowing u have a test.
5 0
3 years ago
Read 2 more answers
Donna's company reimburses her expenses on food, lodging, and
Arisa [49]

Answer:

Total amount reimbursed / Total daily budget ;

7 days

Step-by-step explanation:

Given the following :

Amount reimbursed = $1,750

Amount paid for food and lodging = $150/ day

Amount paid for gas = $100 / day

A) Equation to get the number of days on the trip:

Total amount reimbursed / Total daily budget

B.) Total daily budget = $(150 + 100) = $250/ day

Number of days :

(Total amount reimbursed / Total daily budget)

($1,750 / $250)

= 7 days

7 0
3 years ago
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