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Lelechka [254]
3 years ago
9

The same price of an item is $48 after a 40% discount what was the original price

Mathematics
1 answer:
Sonja [21]3 years ago
8 0
Let, the original price = x
It would be: x*60% = 48
x = 48 / 0.60
x = 80

In short, Your Answer would be $80

Hope this helps!
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gladu [14]
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What is the value of 56.13?
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A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 y
jekas [21]

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / \sqrt{p*(1-p) / n}

x = 0.1235 - 0.10 / \sqrt{0.10 * 0.90 / 527}

x = 0.0235 / \sqrt{0.09 / 527}

x = 0.0235 / \sqrt{0.00017077798}

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x = 1.798257689731729

x = 1.798

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P value = 0.036089

The P - Value is very small, so <u>reject H0</u>

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.

7 0
3 years ago
1. What is the extraneous solution of √x−3 + x = 9?
Sunny_sXe [5.5K]

Answer:

1. x = 12

2. 3∛4 feet.

Step-by-step explanation:

1. We are given the equation of x as \sqrt{x - 3} + x = 9 and we have to find the extraneous solution of the equation.

Now, \sqrt{x - 3} + x = 9 ............. (1)

⇒ \sqrt{x - 3} = 9 - x

Squaring both sides we get,

⇒ x - 3 = 81 - 18x + x²

⇒ x² - 19x + 84 = 0

⇒ x² - 12x - 7x + 84 = 0

⇒ (x - 12)(x - 7) = 0

⇒ x = 12 or 7.

Now, putting x = 12 in the equation (1) we get,

\sqrt{12 - 3} + 12 \neq   9

Again, putting x = 7 in the equation (1) we get,

\sqrt{7 - 3} + 7 = 9

Therefore, x = 12 is an extraneous solution of this equation. (Answer)

2. The volume of a cube with side lengths a ft. is given to be 108 ft³.

So, a³ = 108

⇒ a = 3∛4 feet.

Therefore, the length of the sides of the cube are each 3∛4 feet. (Answer)

3 0
3 years ago
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