A card is drawn from a well-shuffled deck of 52 cards. find the probability that the card is a card black 6

Question 2b only! Evaluate using the definition of the definite integral(that means using the limit of a Riemann sum

lara [203]

Answer:

Hello,

Step-by-step explanation:

We divide the interval [a b] in n equal parts.

$\Delta x=\dfrac{b-a}{n} \\\\x_i=a+\Delta x *i \ for\ i=1\ to\ n\\\\y_i=x_i^2=(a+\Delta x *i)^2=a^2+(\Delta x *i)^2+2*a*\Delta x *i\\\\\\Area\ of\ i^{th} \ rectangle=R(x_i)=\Delta x * y_i\\$

$\displaystyle \sum_{i=1}^{n} R(x_i)=\dfrac{b-a}{n}*\sum_{i=1}^{n}\ (a^2 +(\dfrac{b-a}{n})^2*i^2+2*a*\dfrac{b-a}{n}*i)\\$

$=(b-a)^2*a^2+(\dfrac{b-a}{n})^3*\dfrac{n(n+1)(2n+1)}{6} +2*a*(\dfrac{b-a}{n})^2*\dfrac{n (n+1)} {2} \\\\\displaystyle \int\limits^a_b {x^2} \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} R(x_i)\\\\=(b-a)*a^2+\dfrac{(b-a)^3 }{3} +a(b-a)^2\\\\=a^2b-a^3+\dfrac{1}{3} (b^3-3ab^2+3a^2b-a^3)+a^3+ab^2-2a^2b\\\\=\dfrac{b^3}{3}-ab^2+ab^2+a^2b+a^2b-2a^2b-\dfrac{a^3}{3} \\\\\\\boxed{\int\limits^a_b {x^2} \, dx =\dfrac{b^3}{3} -\dfrac{a^3}{3}}\\$

4 0

3 years ago

930 is what percent of 1000

timurjin [86]

I'm pretty sure it would be 93%.

First you make it a decimal by dividing 930/1000 and you get .93.

In order to turn a decimal into a fraction you put put the decimal two places back, that would make it 93%.

3 0

3 years ago

Read 2 more answers

A football coach is trying to decide: When a team is ahead late in the game,

nevsk [136]

The better strategy is to play the 'regular” defense. Because the probability of play in the 'regular” defense is more.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A football coach is trying to decide:

The coach reviews the outcomes of 100 games.

Regular defense Prevent defense Total

Win 41 32 73

Loss 9 18 27

Total 50 50 100

The probability of winning when playing regular defense will be

⇒ 41 / 50

⇒ 0.82

The probability of winning when playing prevent defense will be

⇒ 32 / 50

⇒ 0.64

Then the better strategy is to play the 'regular” defense.

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

4 0

3 years ago

Solve for x 3x + 2 =y; y=2

pashok25 [27]

The answer is x equals zero since you plug in 2 for y and then you subtract 2 from both sides and then you divide 3 from 3x and the zero and your answer will be x=0

6 0

3 years ago

.A retailer sold two articles at same price. He sold the first one at 10% profit and the

IRISSAK [1]

Step-by-step explanation:

so let's assume they both sold for 100 each the first article sold for 10% laws there by cost of article is 111.11 rounded the second article made 25% profit so cost must be 80 total cost is 8.89 or 5% profit I'm so sorry if im wrong

3 0

3 years ago