Two cards are drawn at random from an ordinary deck of 53 cards determine if the probability that both cards are diamonds if the first card is replaced before the second Drawn is

Answer:

opposite

Step-by-step explanation:

it's negative

Answer:

[tex]s = 19z - 7 - (5z - 9) - (8z + 3) \\ = 19z - 7 - 5z + 9 - 8z - 3 \\ = (19z - 5z - 8z) + (9 - 7 - 3) \\ \therefore \: third \: side \: s= 6z - 1[/tex]

[tex]\\ \sf\longmapsto \sqrt{(x^2-2x-2)}+\sqrt{2x-3}=5[/tex]

We know

if x=√a+√b then

[tex]\\ \sf\longmapsto x^2-2x-2+2x-3+2\sqrt{(x^2-2x-2)(2x-3)}=5^2[/tex]

[tex]\\ \sf\longmapsto x^2-3+2\sqrt{2x^3-4x^2-4x-3x^2+6x+6}=25[/tex]

[tex]\\ \sf\longmapsto 2\sqrt{2x^3-7x^2+2x+6}=25-x^2+3=28-x^2[/tex]

[tex]\\ \sf\longmapsto \sqrt{2x^3-7x^2+2x+6}=\dfrac{28-x^2}{2}[/tex]

[tex]\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{(28-x^2)^2}{4}[/tex]

[tex]\\ \sf\longmapsto 2x^3-7x^2+2x+6=\dfrac{784-56x^2+x^4}{4}[/tex]

[tex]\\ \sf\longmapsto 8x^3-28x^2+8x+24=784-56x^2+x^4[/tex]

[tex]\\ \sf\longmapsto x^4-8x^3-28x^2-8x+760=0[/tex]

The equation has no real solutions .(attached a pic of calculator )

Answer:

[tex]{ \rm{ \sqrt{( {x}^{2} - 2x - 2) } + \sqrt{(2x - 3)} = 5 }}[/tex]

• let's first collect like terms

[tex]{ \rm{ \sqrt{( {x}^{2} - 2x - 2)} = 5 - \sqrt{(2x - 3)} }}[/tex]

• Then, let's take a square:

[tex]{ \rm{ {( \sqrt{( {x}^{2} - 2x - 2)}) }^{2} = {(5 - \sqrt{(2x - 3)} )}^{2} }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = (5 - {(2x - 3)}^{ \frac{1}{2} } )(5 - {(2x - 3)}^{ \frac{1}{2} }) }} \\ \\ { \rm{ {x}^{2} - 2x - 2 = 25 - 10 \sqrt{2x - 3} - 2x - 3 }} \\ \\ { \rm{ {x}^{2} - 2x + 2x - 2 - 22 + 10 \sqrt{2x - 3} = 0}} \\ \\ { \rm{ {x}^{2} + 10 \sqrt{2x - 3} - 22 = 0}} \\ \\ { \rm{the \: roots \: of \: the \: equation \: are \: not \: real}}[/tex]

Answer: x = 3(-1 + i) or 3(-1 - i)

To give the patient a dose of 2g medication with a strength of 4g/0.4ml, you should administer 50 ml of the medication.

Given that,

Dose ordered: 2g of medication

Medication strength: 4g/0.4ml

Conversion factor: 10

To calculate the volume of medication you need to give the patient,

Use a simple formula:

Volume (in ml) = (Dose ordered / Strength) x Conversion factor

In this case,

The dose ordered is 2g and the strength is 4g/0.4ml.

To find the conversion factor,

Divide 4g by 0.4ml, which equals 10.

So, using the formula,

The volume of medication you need to give the patient would be:

Volume (in ml) = (2g / 0.4ml) x 10

Now, calculating this:

Volume (in ml) = 5 x 10

Hence, you should give the patient 50ml of medication.

Learn more about the multiplication visit:

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#SPJ3

Answer:

the answer is of mid piont (4&6)

Answer:

205°

Step-by-step explanation:

The total circle is 360°. The right angle is 90°, and you know the other angle is 64°. 90° + 64° is 154°. 360° -154° is 205°.

Answer:

We know that the angle around any given point is 360°

Therefore, according to the given problem,

[tex]x° + 64° + 90° = 360° \\ x° + 154° = 360° \\ x° = 360° - 154° \\ \boxed{x° = 206°}[/tex]

Hence, the value of x° is 206°

Answer:

10

Step-by-step explanation:

Since we are dealing with area, we need to multiply 16 1/4 by 11 3/4.

If we do that, we get 190 15/16

So, if we divide 190 15/16 by 20:

[tex]190 \frac{15}{16} / 20 = 9.5[/tex]

You cannot have half a bag however. You will need to round the number to 10.

Answer:

30d

Step-by-step explanation:

[tex]\\ \sf\longmapsto a_1=3(1)-9=3-9=-6[/tex]

And

[tex]\\ \sf\longmapsto a_5=3(5)-9=15-9=6[/tex]

Answer:

A= wl = (6)5.6 = 33.6cm²

Answer:33.6

Step-by-step explanation:

A=wl=6·5.6≈33.6cm²

Answer:

A. -2.5

hope that helped <3

Answer:

The answer would be 6^2 = 36 , 8^2 = 64, 15^2 = 225

Step-by-step explanation:

Answer on Edmentum!

Answer:

Transposing a number is a type of error where two digits swap position in the sequence. An example would be to enter 13 instead of the desired 31. It could also be the error of dropping a needed zero as in writing 15 instead of the desired 150.

Step-by-step explanation:

Unless by "number" you mean musical score. Then transposing is rewriting the score in a new key.

Answer:

13.5 + 16 + 12.6 + 15.2 +12.8 + 11.8 + 17.2 + 12.1

                                  8

= 94.2/8

= 11.76

Answer:

7/16

Step-by-step explanation:

change 3/8 to have a common denominator with 1/16 then add the numerators. 6/16 + 1/16 which is 7/16.

Answer:

Approx 41.7%

Step-by-step explanation:

150/360=0.41.666666667

0.417*100=41.7%

7- The commission for the sale of a $ 540,000 house was $ 12,020.

8- The commission for the sale of a $ 795,600 house was $ 17,132.

9- The commission during the 4 weeks of February was $ 24,690.

10- The commission during the 4 weeks was $ 27,754.

11- The house was worth $ 440,000.

Given that a real estate office pays its salespeople a weekly retainer of $ 220 plus commission of 2.5% for the first $ 200,000 of the value of each property sold and 2% of each amount after that, to determine the commission received if the following houses are sold, the following calculations must be performed:

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9514 1404 393

Answer:

  (C)  Mr. Dixon saved about $500

Step-by-step explanation:

The prices can be rounded to hundreds to give ...

The sale price is about 20/25 = 4/5 of the regular price. It is about 2500-2000 = 500 dollars lower.

The true description is ...

  Mr. Dixon saved about $500

Answer:

x-120=899

Step-by-step explanation:

(x=1019)

Answer:

Vertex: (-7/2, -27/2), opens upward

Step-by-step explanation:

I used Desmos to graph this function, as you can see in the attached photo. The vertex was (-3.5, -13.5) and the parabola opened upward.

Answer:

I might be able to help what do you need to know

Answer:

Answer is 6^9 ÷ 6^-2

Step-by-step explanation:

6^14 ÷ 6^2 = 6^14-2

= 6^12

And

6^9 ÷ 6^-2 = 6^9-(-2)

= 6^11

Which is less than 6^12

Hope that my answer is helpful to you

Using the principle of proportional relationship, the number of milk cups required per cup of oat is 0.75 cups

Setting up a proportional relationship between milk and oat :

1/2 cups = 2/3 cups

x cups = 1 cup

Cross multiply :

(2/3)x = 1/2

0.666666x = 0.5

Divide both sides by 0.66666 to isolate x

x = 0.5 / 0.666666

x = 0.75

Therefore, 0.75 cups of milk is required per cup of oat.

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Step-by-step explanation:

sum of all angles of triangle are 180°

therefore,

angle,

P + T + S = 180°

P = 90° , T = 36° ( given )

so,

→ 90 + 36 + S = 180

→ 126 + S = 180

→ S = 180 - 126 = 54°

→ S = 54°

therefore, S is 54° so, option D is correct.

hope this answer helps you dear...take care and may u have a great day ahead and! also ur exam/test goes well!

Answer:

No

Step-by-step explanation:

The change in the sequence is not consistent therefore it cannot be an arithmetic sequence.

Step-by-step explanation:

The given equations are

x2+y3=xy9

⟹xy2y+3x=xy9

⟹3x+2y=9 ........(i) 

x4+y9=xy21

⟹xy4y+9x=xy21

⟹9x+4y=21   ........(ii)  

Now (i)×3⟶9x+6y=27   .....(iii)

Subtracting (iii) from (ii),

−2y=−6⇒y=3.

Putting y=3 in (i),

3x+2×3=9⟹x=1.∴(x,y)=(1,3)

Answer:

i

Step-by-step explanation:

Answer:

The answer for this question is11÷2&5÷2

Answer:

[tex]f(7 {x}^{2} - 2x + 9) \\ = - 5(7 {x}^{2} - 2x + 9) - 7 \\ = - 35 {x}^{2} + 10x - 45 - 7 \\ = - 35 {x}^{2} + 10x - 38 \\ f.g( - 3) = - 35 {( - 3)}^{2} + 10( - 3) - 38 \\ f.g( - 3) = -383[/tex]