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2 years ago

5

A bag contains 3 red pens 5 blue pens and 2 black pens a pen is selected at random and is not replaced what is the probability o

f selecting a red pen then a blue pen

2 answers:

MAVERICK [17]2 years ago

6 0

Answer: 1/6

Step-by-step explanation:

3 red

5 blue

2 black

10 total

pick a red pen first: 3/10

pick a blue pen next: 5/9

3/10*5/9 = 15/90 or 1/6

LUCKY_DIMON [66]2 years ago

4 0

Answer: 1/6

Step-by-step explanation:

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2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

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:

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

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

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

What is the greatest remainder possible when dividing by six?

avanturin [10]

Well the remainder more possible dividing by six would be 9.3 I hope i helped.

7 0

3 years ago

Join and spam the zoom<br><br> I'd:4818636311<br> Password:ICanDoThis

Tatiana [17]

Answer:

have a wonderful day!

Step-by-step explanation:

:) :0

4 0

2 years ago

Read 2 more answers

What is the length of the diagonal of the rectangle?

lapo4ka [179]

Answer:

21.25

Step-by-step explanation:

We can use the Pythagorean theorem to solve

We have the two legs and are looking for the hypotenuse

a^2 + b^2 = c^2

17^2 +12.75 ^2 = c^2 where c is the diagonal

289 +162.5625 = c^2

451.5625 = c^2

Take the square root

sqrt(451.5625) = sqrt(c^2)

21.25 =c

4 0

3 years ago

Read 2 more answers

Toby has 178 pennies bella has 190who has more

kodGreya [7K]

Pennies Toby has = 178

Pennies Bella has = 190

Hence, Bella has more pennies by 190-178=12

Bella has 12 more pennies than Toby.

6 0

3 years ago

Read 2 more answers