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myrzilka [38]
3 years ago
14

Please answer this for me

Mathematics
2 answers:
Phantasy [73]3 years ago
5 0
6.6% of 16,368 = 1,080.288
16,368 - 1,080.288 = 15,287.712
So the price before sales tax was $15,287.712
Hope it helps!
svet-max [94.6K]3 years ago
4 0
<span>6.6% of 16368=1080.288</span>
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The variables x and y are directly
bija089 [108]
Answer: When y = -4, x = -10.

Explanation:
The equation for direct variation is y = kx^n, where k is the constant of variation. n is the exponent above the x value, but since this problem doesn’t involve exponents greater than one, we can ignore it.

First, find k.
y = kx
6 = k*15
k = 6/15 or 2/5

Now, we can solve for any x or y input. Let’s find x when y = -4.
y = kx
-4 = 2/5 * x
(to cancel out the fraction, multiply each side of the equation by its reciprocal, 5/2)
x = -4 * 5/2
x = -20/2
x = -10
7 0
2 years ago
6. (4.11.2) A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08
Maksim231197 [3]

Answer:

10.38% probability that a randomly chosen book is more than 20.2 mm thick

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums of n elements, the mean is n\mu and the standard deviation is s = \sqrt{n}\sigma

In this problem, we have that:

\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.1581

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{20.2 - 20}{0.1581}

Z = 1.26

Z = 1.26 has a pvalue of 0.8962

1 - 0.8962 = 0.1038

10.38% probability that a randomly chosen book is more than 20.2 mm thick

3 0
3 years ago
Malachy was thinking of a number. Malachy adds 9 then divides by 3 to get an answer of 48. Form an equation with
stepladder [879]

Step-by-step explanation:

Let,

  • Number = x

(x+9) \div  3=48

x+9=48\times 3

x+9=144

x=144-9

x=135

Therefore,

The number = 135

6 0
2 years ago
Perform the indicated operation.<br> (w^3 +64)/(4+ w)
timurjin [86]

Answer:

(w^2 - 4w + 16)

Step-by-step explanation:

Note that w^3 +64 is the sum of two perfect cubes, which are (w)^3 and (4)^3.  The corresponding factors are (w + 4)(w^2 - 4w + 16).

Therefore,

(w^3 +64)/(4+ w) reduces as follows:

   (w^3 +64)/(4+ w)      (4 + w)(w^2 - 4w + 16)

--------------------------- = --------------------------------- =  (w^2 - 4w + 16)

             4 + w                     4 + w

6 0
3 years ago
Describe the type of correlation indicated by each correlation coefficient r=0.875
Alenkinab [10]

Answer:

A strong correlation

Step-by-step explanation:

The closer the correlation coefficient is to the number 1 the stronger the correlation is.

5 0
3 years ago
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