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3 years ago

Compare the process of solving an equation and an inequality. What are the differences and the similarities?

1 answer:

7 0

when you solve an inequality the result is an interval when you solve an equation is a number or set ex x^2=25 x=-+5 the result is finite numbers

when you multimply an equation the sign inverses but when you solve an equation there is nothing to change

similiarities

you can add and subtract numbers from both sides

diving and multypling the equation or inequation by a positive numeber as i said in the beggining by multypling or dividing with a negative number the equation s sign inverses ex >= becomes <=

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An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the

NeX [460]

Answer:

Grades between 62 and 64 result in a D grade.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 71.9, \sigma = 7.8$

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

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

$-0.995 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -0.995*7.8$

$X = 64$

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

$-1.28 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -1.28*7.8$

$X = 62$

Grades between 62 and 64 result in a D grade.

6 0

3 years ago

Write in slope-intercept form an equation of the

Ira Lisetskai [31]

Answer:

y = 5x - 6

Step-by-step explanation:

8 0

3 years ago

the Marked price of an article is rupees 1600 if it is sold for rupees 1420 what is the discount rate

Naya [18.7K]

Answer:

1600-1420= 180

Step-by-step explanation:

Given that

The Marked price of an article is rupees 1600 if it is sold for rupees 1420 then what is the discount rate

1600-1420

=180

then 180 percent is discount

plse like me

3 0

2 years ago

Read 2 more answers

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below in the attachment.

ArbitrLikvidat [17]

The table gives the different combinations of stamps Karl has

the first option says that

a. The total number of stamps is 25.

according to this the addition of stamps for each combination should be 25

1st combination is 18 + 17 = 35

therefore this statement is wrong as the addition of stamps is 35 stamps

b. The total value of the stamps is $18.75.

lets check the first combination

18 x $ 0.45 + 17 x $ 0.65 = 8.1 + 11.05 = $19.15

so this statement too is wrong

c. The total number of stamps is 35.

as calculated above we know that the sum of the stamps in the first combination is 35

so lets check for the other combinations

20 + 15 = 35

22 + 13 = 35

25 + 10 = 35

so the answer is 35

this statement is correct

d.The total value of the stamps is $19.15

lets check the value for the third combination

22 x 0.45 + 13 x 0.65 = 9.9 + 8.45 = $18.35

this value isnt equal to $ 19.15

therefore this statement too is wrong

correct answer is C

4 0

3 years ago

Read 2 more answers

Color of car. a. Qualitative/Ordinal b. Qualitative/Nominal c. Quantitative/Discrete d. Quantitative/Continuous

Ymorist [56]

Colors are Qualitative and Nominal: Qualitative, because there is no number involved for "color" and Nominal, because their is no natural ordering for color

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3 years ago