How do you solve 2 x 2 1/3 using distributive property

What is the probability of drawing a black ace followed by a heart out

Verdich [7]

Correct option C) 0.98%

<u>Step-by-step explanation:</u>

We know that , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out of a deck when the cards aren't replaced . Let's find out:

Firstly , a black ace is drawn , so probability :

⇒ $P(Black) = \frac{2}{52}$

Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):

⇒ $P(Heart) = \frac{13}{51}$

So , Probability of occurring both events is :

⇒ $P(Black)(P(Heart))$

⇒ $\frac{2}{52} (\frac{13}{51} )$

⇒ $0.0098$

Percentage = $0.0098(100) = 0.98$ %

Therefore , Correct option C) 0.98%

7 0

2 years ago

Choose the correct simplification of 8x2(5x 2x2 − 3). 16x4 − 40x3 24x2 16x4 40x3 − 24x2 40x4 16x3 − 5x2 40x4 − 10x3 5x2

yKpoI14uk [10]

The correct simplification of 8x2(5x 2x2 − 3) is $16x^{4} +40x^{3} -24x^{2}$

<h3>What do you mean by simplification?</h3>

Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
Making anything simpler is the act or process of simplification. Everyone is in favor of streamlining court procedures.
Certain "solving" issues are connected to "simplification" issues. Parentheses and even nested grouping symbols can be found in some equations, just like in some expressions. Whether we're working with equations (so we're also solving) or expressions (and only simplifying), the simplification procedure is the same in both cases.

The correct simplification of 8x2(5x 2x2 − 3).

$8x^{2} (5x+2x^{2+1} -3)=8*2x^{2+2} -8*3x^{2}$

$=40x^{3} +16x^{4} -24x^{2}$

Rearranging the above expression in descending order of power, we get: $16x^{4} +40x^{3} -24x^{2}$

The correct simplification of 8x2(5x 2x2 − 3) is $16x^{4} +40x^{3} -24x^{2}$

To learn more about simplification, refer to:

brainly.com/question/723406

#SPJ4

4 0

1 year ago

A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?

DENIUS [597]

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals $2.20\times 10^{8}\,Pa$ . The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress ( $\sigma$ ), measured in pascals, in the wire with circular cross-section is: