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svlad2 [7]
3 years ago
10

A bracelet was marked up $50 from cost, which amounts to a 20% increase. Find the original cost of the bracelet

Mathematics
2 answers:
strojnjashka [21]3 years ago
6 0

Answer:

40

Step-by-step explanation:

20% times 50 = 10 thats ten less cuz it asks for the original i think

abruzzese [7]3 years ago
4 0

Answer:

Original cost was $250

Step-by-step explanation:

let x be the original cost

20 = 50/x x 100

20x = 50x 100

20x = 5000

x= 5000/20

x = 250

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Is d y / d x the exact same as f ' ( x ) ? If yes, which is more commonly used?
Murrr4er [49]
It's dependent on the context. A book may ask you to find the f'(x) of a function and you may have to use a u sub in your problem which requires you to find the dy/dx of what you substitute. So in this case both would be used.
7 0
2 years ago
Suppose the test scores for a college entrance exam are normally distributed with a mean of 450 and a s. d. of 100. a. What is t
svet-max [94.6K]

Answer:

a) 68.26% probability that a student scores between 350 and 550

b) A score of 638(or higher).

c) The 60th percentile of test scores is 475.3.

d) The middle 30% of the test scores is between 411.5 and 488.5.

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 = 450, \sigma = 100

a. What is the probability that a student scores between 350 and 550?

This is the pvalue of Z when X = 550 subtracted by the pvalue of Z when X = 350. So

X = 550

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

Z = \frac{550 - 450}{100}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 350

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

Z = \frac{350 - 450}{100}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

68.26% probability that a student scores between 350 and 550

b. If the upper 3% scholarship, what score must a student receive to get a scholarship?

100 - 3 = 97th percentile, which is X when Z has a pvalue of 0.97. So it is X when Z = 1.88

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

1.88 = \frac{X - 450}{100}

X - 450 = 1.88*100

X = 638

A score of 638(or higher).

c. Find the 60th percentile of the test scores.

X when Z has a pvalue of 0.60. So it is X when Z = 0.253

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

0.253 = \frac{X - 450}{100}

X - 450 = 0.253*100

X = 475.3

The 60th percentile of test scores is 475.3.

d. Find the middle 30% of the test scores.

50 - (30/2) = 35th percentile

50 + (30/2) = 65th percentile.

35th percentile:

X when Z has a pvalue of 0.35. So X when Z = -0.385.

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

-0.385 = \frac{X - 450}{100}

X - 450 = -0.385*100

X = 411.5

65th percentile:

X when Z has a pvalue of 0.35. So X when Z = 0.385.

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

0.385 = \frac{X - 450}{100}

X - 450 = 0.385*100

X = 488.5

The middle 30% of the test scores is between 411.5 and 488.5.

7 0
3 years ago
Identify an equation in slope-intercept form for the line parallel to y = -3x + 7
svet-max [94.6K]

Answer:

B

Step-by-step explanation:

B and D are the only ones with the same slope (-3x) which is required for the line to be parallel.

and if you graph it out, you will find that B is the correct answer because it passes through (2,-4).

5 0
3 years ago
Solve p(x+q)=r for x
STatiana [176]
(x+q) = r/p
x+q = r/p
x = (r/p) - q
3 0
3 years ago
Given the function f(x) = 2x, find the value of f−1(32).
sergeinik [125]

Answer:

find the inverse

exchange x for y and  y for x

y=2x

then

x=2y---------> clear y

y=x/2

f−1(x)=x/2

for x=32

f−1(32)=32/2----------> 16

the answer is 16

3 0
2 years ago
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