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3 years ago

Sophie saw a dress she liked on sale for $15 off. The original price of the dress was $96. What is the sale price of the dress?

Mathematics

2 answers:

sammy [17]3 years ago

5 0

$96-$15=$81 that simple

horrorfan [7]3 years ago

4 0

Answer:

Sale price is $81 for the dress

Step-by-step explanation:

The original price is $96. Since the dress was $15 off, this means $15 can be subtracted from the original price.

So $96 - $15 = $81

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In a normal bell shaped curve, approximately which percentage of scores fall within 3 standard deviation (-3 to +3) or blank (34

Leokris [45]

Let x represent the scores. With mean and standard deviation given,

The Empirical rule states that

1) About 68% of the x values lie between 1 standard deviation below and above the mean

2) About 95% of the x values lie between 2 standard deviation below and above the mean

3) About 99.7% of the x values lie between 3 standard deviation below and above the mean

If we consider this rule, then the percentage of scores that fall within 3 standard deviation (-3 to +3) is 99% because this is closer to 99.7%

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11 months ago

A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8

Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 61 and a standard deviation of 8.

This means that $\mu = 61, \sigma = 8$

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

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

$-0.675 = \frac{X - 61}{8}$

$X - 61 = -0.675*8$

$X = 55.6$

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

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

$2.96 = \frac{X - 61}{8}$

$X - 61 = 2.96*8$

$X = 84.68$

The minimum score for an A is 84.68.

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3 years ago

Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest

lesantik [10]

Answer: $2936.27

Step-by-step explanation:

Present value = $1663

Rate = 5.5%

Time(n) = 19years

Future value= PV(1+r)^n

= 1663(1+5.5%)^19

= 1663(1.055)^19

=1663 × 2.766

=4599.86

Interest = Future value - Present value

= $4599 - $1663

= 2936

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Answer:

Step-by-step explanation:

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