Find the value of x , if log₂ [log₅ (log₃x)] = 0

Answers

Answer 1

Answer: $\log_2 (\log_5( \log_3x)) = 0\n D:x>0 \wedge \log_3x>0 \wedge \log_5(\log_3x)>0\n D:x>0\wedge x>1 \wedge\log_3x>1\n D:x>1 \wedge x>3\n D:x>3\n \log_5(\log_3x)=1\n \log_3x=5\n x=3^5\n x=243$

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Which of the following statements is true? a) A 95% confidence interval is narrower than a 90% confidence interval for the same set of data. b) Increasing the sample size will decrease the margin of error in your confidence interval. c) The critical value is the variance of the sampling distribution. d) The point estimate is the measure of variation used in the computation of the margin of error. e) Smaller sample sizes produce larger margins of error because smaller samples always have larger standard deviations.

Answers

Answer:

The correct option is;

Step-by-step explanation:

a) 95% Sample CI = 152.6395 to 153.3605; Range = 0.721 Wider

90% Sample CI = 152.6975 to 153.3025; Range= 0.605 Narrower

b) Sample size ∝ 1/Error²

Therefore, increasing the sample will decrease the margin of error

c) The critical value is the value of the test statistic at the level of confidence

Variance = (Standard deviation)²

d) Point estimate is the mean or average, variation is the range or also the variance

e) Smaller samples have their relative standard deviations which does not depend on the sample size

What is 37.025 written in word form

Answers

thirty-seven and twenty-five thousanths

37.025 in written form is:

Thirty-seven and twenty-five thousandths

Hope I Helped You!!! :-)

Have A Good Day!!!

A company sells its printers to customers in order to make a profit of 25% calculate the price a customer posts for a printer which the company bought $1700

Answers

increase 25%
25%=1/4

1/4 of 1700=425

increase 25%
1700+425=2125

sold at $2125

on january 1,1999,the price of gasoline was$1.39 per gallon .if the price of gasoline increased by 0.5%per month ,what was the was the cost of one gallon of gasoline,to the nearest cent,on january 1 one year later?

Answers

$P(t)=1.39.(1.005)^t \ \ \ \ where t \ is \ time \ in \ months\n \n P(1)=1.39.(1.005)^1\n \n P(1)=1.39*1.005\n \n P(1)=\$ \ 1.40$

Answer:

$1.40

Step-by-step explanation:

plug into formula

if plugged in right, plug into calculator.

You then should get the total of $1.40. :D

-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Answers

Answer:

$\boxed {a_(24) = - 70}$

Step-by-step explanation:

According to the following pattern sequence ( $-1, -4, -7, -10$ ), it is Arithmetic Sequence, because every negative number is subtracted by $3$ . So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

$a_(n) = a_(1) + (n - 1) d$

$a_(n)$ : nth term in the sequence

$a_(1)$ : 1st term

$n$ : term position

$d$ : Common difference

-Apply to the formula:

$a_(24) = -1 - 3 (24 - 1)$

$a_(n) = a_(24)$

$a_(1) = -1$

$n = 24$

$d = -3$

-Solve:

$a_(24) = -1 - 3 (24 - 1)$

$a_(24) = -1 - 3 (23)$

$a_(24) = -1 - 69$

$\boxed {a_(24) = - 70}$

Therefore, the 24th term is $-70$ .

Final answer:

The nth term of the sequence is given by the formula nth term = -1 + (n-1)(-3), resulting in a24 (the 24th term) being -70.

Explanation:

To find the nth term of any arithmetic sequence, you can use the formula: nth term = a + (n - 1)d where a is the first term and d is the common difference. In the given sequence -1, -4, -7, -10, the first term (a) is -1 and the common difference (d) is -3 (because each term is 3 less than the previous term).

So, the nth term formula for this sequence would be

nth term = -1 + (n-1)(-3)

To find the 24th term of the sequence (a24), you would substitute n with 24. So, a24 = -1 + (24-1)(-3) = -70.

Learn more about Arithmetic sequence here:

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The number of stops a bus makes on a certain day is represented by the variable s. Which set of numbers best describes the value of the variable?whole numbersnatural numbersintegersirrational numbers

Answers

whole numbers- whole numbers are the numbers that does not have any fraction or negative numbers. Whole number start with 0. they are 0,1,2,3,4,......

natural numbers- natural numbers are the set of positive numbers. 1,2,3,4....

integers - Integers are similar to whole number but we include negative numbers as well. ........-1,0,1,2,......

irrational numbers- irrational numbers are all real numbers that are not rational. $√(2) , \pi$ ....

The number of stops a bus makes on a certain day is represented by the variable s

Number of stops a bus make cannot be a negative number or irrational number.

WE can consider 0 stops as well.

So it belongs to whole number

Whole numbers best describes the value of the variable

If zero bus stops is an option, then it would be whole numbers. If the number of stops is greater than zero, it would be natural numbers.

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