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Mandarinka [93]
3 years ago
13

A pair of shoes is on sale for 15% off. With this discount the customer saves 9$ if they buy the shoes. How much did the shoes c

ost?
Mathematics
2 answers:
posledela3 years ago
4 0
15 = 0.25x
1500 = 25x
60 = x

The original price was $60.
Dovator [93]3 years ago
4 0
The price will be $60
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In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0
uysha [10]

Answer:

a) A response of 8.9 represents the 92nd ​percentile.

b) A response of 6.6 represents the 62nd ​percentile.

c) A response of 4.4 represents the first ​quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) We have to find the value of x such that the probability is 0.92

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9

A response of 8.9 represents the 92nd ​percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6

A response of 6.6 represents the 62nd ​percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4

A response of 4.4 represents the first ​quartile.

4 0
4 years ago
1.4 has 2 significant digits as a result of which rule? a. All nonzero numbers are significant. b. Zeros between nonzero digits
marishachu [46]

Answer:

All non zero digits count in significant digits.

(a) is correct option.

Step-by-step explanation:

Given that,

1.4 has 2 significant digits.

We know that,

Significant digits :

All non zero digits count in significant digits.

All zero which is present in between two significant digits it is also significant.

Leading zero is not count as significant.

Trailing zero is count as significant.

We need to find 1.4 has 2 significant digits as a result of which rule

Using given rules

1.4 has 2 significant digits it is follows the rule of all non zero digits count in significant digits.

Hence, All non zero digits count in significant digits.

(a) is correct option.

6 0
4 years ago
8. Three friends each bought two slices of pizza and a drink at the mall. If drinks cost $0.75,
Elenna [48]

Answer:

one slice of pizza costs 3 dollars.

Step-by-step explanation:

you multiply 0.75 by 3.

subtract 2.25 by 9

divide 9 by 3

7 0
4 years ago
4. Solve the system using substitution.
Nadusha1986 [10]

Answer:

A

Step-by-step explanation:

-3 + 2 = -1

1 = 9 - 8

5 0
3 years ago
Ana is 12 years old, her brother Joe is 3 years old. Find the ratio between Ana's age and Joe's age.​
zalisa [80]

Answer:12/3=4

ratio 4:1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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