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algol [13]
3 years ago
10

PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
8 0

Answer:

$843.67

Step-by-step explanation:

1. Calculate the discount that was taken off from the original price.

$896 x 12% = $107.52

2. Subtract the discount taken off from the original price. This gives you the total paid AFTER the discount was taken.

$896-$107.52= $788.48

3. Calculate the tax amount by multiplying the discount price by the tax rate.

$788.48 x 7% = $55.19

4. Add the tax amount back to the discount price.

$788.48 + $55.19 = $843.67

wlad13 [49]3 years ago
4 0
Hm 1 second let me write the work down for this problem
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Is 613 odd yes or no
Gwar [14]

Answer:

yes 613 is odd

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
There are 50 students in a calculus class. The amount of time needed for the instructor to grade a randomly chosen midterm exam
natta225 [31]

Answer:

14.46% probability that the instructor can finish grading in 4 and a half hours

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 values from a distribution, the mean is n\mu and the standard deviation is s = \sqrt{n}\sigma

In this problem, we have that:

\mu = 6*50 = 300, s = \sqrt{50}*4 = 28.2843

What is the probability that the instructor can finish grading in 4 and a half hours

Four and half hours is 4.5*60 = 270.

So this probability is the pvalue of Z when X = 270.

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

By the Central Limit Theorem

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

Z = \frac{270 - 300}{28.2843}

Z = -1.06

Z = -1.06 has a pvalue of 0.1446

14.46% probability that the instructor can finish grading in 4 and a half hours

8 0
3 years ago
The ratio of plates to cups is 10:14. If
drek231 [11]

x PLATES ... 10

7 CUPS ... 14

Cross multiply and et' violá:

14x=70\implies x=70/14=5

5 0
3 years ago
Do only equations with variables on both sides have no​ solution? Or can the variable be just on one​ side? Justify your answer.
Elis [28]

Answer:

A

Step-by-step explanation:

..................

4 0
3 years ago
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms 2-5^3+6x
BARSIC [14]

Step-by-step explanation:

2-5^3+6x

2-125+6x

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3 years ago
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