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Alex Ar [27]
3 years ago
13

Becca bought a shirt that was 25% off and saved $6. What was the original price of the shirt?

Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

$24

Step-by-step explanation:

Since 25% is off the price of the shirt, she bought the shirt at 75% of it's cost price. This difference between the full cost and the 75% is what she saved (i.e. 25% was the savings)

So, if the shirt costs x dollars:

$6 = 25% of x

= ( 25/100)*X = 0.25X

X = $6/0.25 = $6x4

X = $24

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CCA has stated in 2017 that 36.5 % of its students are first generation college students.Suppose you sample 15 CCA students and
nignag [31]

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - p) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 36.5% = 36.5/100 = 0.365

q = 1 - p = 1 - 0.365

q = 0.635

n = 15

a) P(x = 0) = 15C0 × 0.365^0 × 0.635^(15 - 0) = 0.0011

P(x = 1) = 15C1 × 0.365^1 × 0.635^(15 - 1) = 0.0095

P(x = 2) = 15C2 × 0.365^2 × 0.635^(15 - 2) = 0.038

P(x = 3) = 15C3 × 0.365^3 × 0.635^(15 - 3) = 0.095

P(x = 4) = 15C4 × 0.365^4 × 0.635^(15 - 4) = 0.16

P(x = 5) = 15C5 × 0.365^5 × 0.635^(15 - 5) = 0.21

k P(X = k)

0 0.0011

1 0.0095

2 0.038

3 0.095

4 0.16

5 0.21

b) mean = np = 15 × 0.365 = 5.475

c) standard deviation = √npq

= √15 × 0.365 × 0.635

= 1.86

d) z = (x - mean)/standard deviation

x = 2

z = (2 - 5.475)/1.86 = - 1.87

6 0
3 years ago
How many zeros does the function ????(x) = 3x^2 + 6x + 2 have? Explain how you know.
maxonik [38]

Answer:

The function has 2 zeros:

x = -1 - \frac{1}{\sqrt{3}}\\x = -1 + \frac{1}{\sqrt{3}}

Step-by-step explanation:

When you have a polynomial function, you can identify the grade of the function (the grade is the maximum potency) and this is the number of zeros that the function will have. In this case, you have a second-grade polynomial function that has 2 zeros.

6 0
3 years ago
Find the values of x y and z
andrey2020 [161]

9514 1404 393

Answer:

  • x = 18√2
  • y = 18√3
  • z = 36

Step-by-step explanation:

These "special" right triangles have side length ratios that it is useful to remember.

<u>45°-45°-90° triangle</u>

Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.

  x = 18√2

<u>30°-60°-90° triangle</u>

Shortest to longest, sides have the ratios ...

  1 : √3 : 2

That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.

  y = 18√3

  z = 2·18 = 36

4 0
3 years ago
16 points
Margarita [4]

Answer:

70 seconds

Step-by-step explanation:

It would need to leak 35 ounces to get down to 30 ounces of flour left. So, 35oz at .5oz per second.

35 / .5 = 70

6 0
3 years ago
A building is 222 feet tall and has 24 floors. The height of each floor is the same. What is the height of each floor?(Show your
katrin [286]
May I see a file of it? link  it.
4 0
3 years ago
Read 2 more answers
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