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3 years ago

What is the value of 324?

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

3 0

The value of that number is exactly. 324.

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Solve the equation (3^x/2)(3^x/4)=3^6

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Answer:

$\qquad\quad {:}\leadsto\sf {3}^{\dfrac {x}{2}}\times {3}{}^{\dfrac {x}{4}}=3^6$

$\qquad\quad {:}\leadsto\sf 3{}^{\dfrac {x}{2}+\dfrac {x}{4}}=3^6$

$\qquad\quad {:}\leadsto\sf 3 {}^{\dfrac {2x+x}{4}}=3^6$

$\qquad\quad {:}\leadsto\sf 3 {}^{\dfrac {3x}{4}}=3^6$

$\qquad\quad {:}\leadsto\sf \dfrac {3x}{4}=6$

Use cross multiplication method

$\qquad\quad {:}\leadsto\sf 3x=24$

$\qquad\quad {:}\leadsto\sf x=\dfrac {24}{3}$

$\qquad\quad {:}\leadsto\sf x=8$

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3 years ago

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How does sample size affect determinations of statistical significance? The smaller the sample size, the more confident one can

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Answer:

The larger the sample size, the more accurate the estimation of the true population value.

Step-by-step explanation:

As large will be the sample size more data will be shown and more are the c c changes of it being an estimate of a true population. The sample size can be determined on the basis of use of experience, target variance, confidence level, and target for power.

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3 years ago

Companies with strong safety cultures usually have lower _____.

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3 years ago

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Which expressions are equivalent to the one below? Check all that apply log₂ 2 + log₂ 8

S_A_V [24]

Answer:

A. 4 B. log₂(2^4)

Step-by-step explanation:

A. log₂ 2 = log₂ 2¹ = 1

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4 years ago

Brandon has a jar of quarters and dimes with a total value of $10.05. The number of quarters is 3

Hunter-Best [27]

Answer:

Brandon has 18 Dimes and 33 Quarters [Beware: The problem does not state that Brandon owns the coins - he just has them. Check your pockets]

Step-by-step explanation:

Let D and Q stand for the numbers of Dimes(D) and Quarters(Q). I'll use pennies instead of dollars, so avoid the clutter of decimal points.

We are told that:

Q = 2D - 3 [The number of quarters is 3 less than twice the number of dimes.]

and

25Q + 10D = 1005 [total value of $10.05]

Substitute the value of Q in the first equation in the second, so that we have an equation with just one unknown, D.

25(2D-3) + 10D = 1005

50D - 75 + 10D = 1005

60D = 1080

D = 18

Q = 2D - 3

Q = 2(18) - 3

Q = 33

=============================

Check

25Q + 10D = 1005

25(33) + 10(18) = 1005 ?

825 + 180 = 1005 YES

----

Q = 2D - 3 ?

33 = 2(18) - 3 YES

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2 years ago