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3 years ago

11

11/21 as a decimal and a percent

1 answer:

pochemuha3 years ago

8 0

11/21 written as a decimal would be 0.52381 and in percent, it would be 52.381%.

To solve percent, since the total or 1/1 is 100%, we have to remember that the answer is less than 100%. So, we move 2 decimal places right to make it into percent. Then, the answer is 52.381.

To solve percent, you would do 100/21. Then, you would get 4.7619047619. You multiply that by 11 and get 52.381. But, you have to move 2 places left since fractions are tens, hundreds. So, you would get 0.52381.

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Mickey keeps picking playing cards out of a standard deck of 52 cards, hoping that she will

andrew-mc [135]

Answer:

03%

Step-by-step explanation:

In this situation Mickey should have drew first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.

Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore required probability is P(A∩B)=P(A)*P(B)

Now, there are 13 diamonds and 39 other cards. Hence,

P(A)=( $\frac{39}{52}$ )⁷=0.1335

After drawing 7 non-diamond cards, the 8th card must be a diamond.Hence,

P(B)= $\frac{13}{52}$ =0.25

Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)

Therefore probability that Mickey will draw her first diamond on the 8th

attempt is 3%

7 0

3 years ago

Solve for x<br> 9 (x +2) < 3(3-5)

Julli [10]

Step-by-step explanation:

9x+18 < 9-15

1)9-15= -6

9x+18 < -6

9x+18= -5

9x= (-5) - 18

9x= -23

x= 23/9=2 5/9

X=2,55556

7 0

3 years ago

Evaluate by using suitable property: (-343) x (-12) + (-343) x (-88) . Mention the property used.

Natalka [10]

Answer:

26,068

Step-by-step explanation:

(-343) x (-12) + (-343) x (-88)

= -4116 + 30,184

= 26,068

4 0

2 years ago

Consider the differential equation x2y′′ − 9xy′ + 24y = 0; x4, x6, (0, [infinity]). Verify that the given functions form a funda

pantera1 [17]

Answer:

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

Step-by-step explanation:

Given equation is

$x^2y'' - 9xy+24y=0$

This Euler Cauchy type differential equation.

So, we can let

$y=x^m$

Differentiate with respect to x

$y'= mx^{m-1}$

Again differentiate with respect to x

$y''= m(m-1)x^{m-2}$

Putting the value of y, y' and y'' in the differential equation

$x^2m(m-1) x^{m-2} - 9 x m x^{m-1}+24x^m=0$

$\Rightarrow m(m-1)x^m-9mx^m+24x^m=0$

$\Rightarrow m^2-m-9m+24=0$

⇒m²-10m +24=0

⇒m²-6m -4m+24=0

⇒m(m-6)-4(m-6)=0

⇒(m-6)(m-4)=0

⇒m = 6,4

Therefore the auxiliary equation has two distinct and unequal root.

The general solution of this equation is

$y_1(x)=x^4$

and

$y_2(x)=x^6$

First we compute the Wronskian

$W(x)= \left|\begin{array}{cc}y_1(x)&y_2(x)\\y'_1(x)&y'_2(x)\end{array}\right|$

$= \left|\begin{array}{cc}x^4&x^6\\4x^3&6x^5\end{array}\right|$

=x⁴×6x⁵- x⁶×4x³

=6x⁹-4x⁹

=2x⁹

≠0

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

5 0

3 years ago

It’s spring season once more and Jo wants to grow colourful flowering plants. She decides to make 16 raised flower beds, each me

Stolb23 [73]

Answer:

(i) 32 cubic meters, (ii) 800

Step-by-step explanation:

(i) 1 x 4 x 0.5 = 2 m3, x 16 = 32

(ii) 1000 litre per m3 = 32,000 litres required divided by 40 = 800 bags.

3 0

2 years ago