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MatroZZZ [7]
3 years ago
13

The probability of drawing two nickels from a bag at random without replacement is 33/95 . The probability of drawing a nickel f

irst is 3/5 . What is the probability of drawing a second nickel, given that the first coin drawn was nickel?
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0
The probability that two events occur is equal to the product of the individual events happening or occurring. For this item, we let x be the probability that is unknown such that the relationship between them may be expressed as,
                            (3/5)(x) = 33/95
The value of x from the equation is 11/19. 
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Deanna uses only fruit juice and sparkling water to make punch for a school dance. She uses 6 liters of fruit juice. She uses 0.
Softa [21]

Answer: 3.6 liters

Step-by-step explanation:

You know that:

- She uses 6 liters of fruit juice.

- She uses 0.6 as much sparkling water as fruit juice.

Therefore, let's call x the amount of fruit punch she made.

Keeping the above on mind, you can solve the problem by multiplying the 6 liter of fruit juice she uses by 0.6.

Therefore the result is:

x=(6liter)(0.6)\\x=3.6liters

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to -x² + 5x + 94 = 13?
jolli1 [7]
the correct answer is A.
3 0
2 years ago
A box contains 10 cards numbered 1 through 10. Which events are mutually exclusive? A. A card is drawn from the box and the numb
coldgirl [10]
The answer is A. 5 is not an even number, so both events can't take place together.
6 0
3 years ago
Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat
yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

P(t) = 0.8t^{2} + 6t + 19000

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

P(t) = 0.8t^{2} + 6t + 19000

0.8t^{2} + 6t + 19000 = 34200

0.8t^{2} + 6t - 15200 = 0

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

0.8t^{2} + 6t - 15200 = 0

So a = 0.8, b = 6, c = -15200

Then

\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356

t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14

t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0
2 years ago
A 13-ft ladder is leaning against a house. The distance from the bottom of the ladder to the house is 7-ft less than the distanc
Olin [163]

Answer:

12 feet

Step-by-step explanation:

As a  ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e

P²+B²= H²

Where,

'P' is perpendicular i.e the distance  from the top of the ladder to the ground

'B' is base i.e be the distance from the bottom of the ladder to the house

'H' is hypotenuse i.e 13

considering 'x' as perpendicular

So, base would be 'x-7'

Applying Pythagoras theorem,

x² + (x-7)²= 13²

x² +x² -14x +49 =169

2x² -14x -120= 0

x² -7x -60=0 ----> solving the quadratic equation

x² + 5x -12x-60=0

x(x+5) -12(x+5)=0

Either : x+5=0 => x=-5

OR: x-12=0 => x=12

We'll choose the positive length.

therefore , The distance from the bottom of the ladder to the house is 12 feet

6 0
3 years ago
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