Consider a standard deck of 52 cards (13 cards each in 4 suits, clubs, spades, diamonds and hearts). What is the probability of picking out a jack of spades and then, without replacing the card to the deck, pick out a jack of diamonds?

Answer:

4620.

Step-by-step explanation:

The number of combinations of 3 men from 9

= 9!/(9-3)!3!

=  9*8*7/3*2*1

= 84 ways.

The number of combinations of 2 women from 11

= 11!/11-2)!2!

=  11*10/2*1

= 55 ways.

So the total number of ways  of men and women in the committee

= 84*55

= 4620.

Answer:

-10 + 28i

Step-by-step explanation:

Multiply the binomials ↓

1*5+3i+(5i*5)+(5i*3i)

Simplify ↓

5+3i+25i+15i²

Combine like terms ↓

5+28i+15i²

Now, since i is the square root of -1, i² (i times i) is equal to -1 ↓

5+28i-15

28i-15+5

28i-10

hope helpful ~

There are 2 tangent lines that pass through the point

[tex]y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2[/tex]

and

[tex]y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2[/tex]

Explanation:

Given:

[tex]y=\frac{x}{x+1}[/tex]

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

[tex]y=m(x-1)+2[/tex] [tex][1][/tex]

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for [tex]m[/tex]:

[tex]\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\[/tex]

[tex]\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}[/tex]

[tex]\frac{dy}{dx}= \frac{1}{(x+1)^2}[/tex]

[tex]m=\frac{1}{(x+1)^2}[/tex] [tex][2][/tex]

Substitute equation [2] into equation [1]:

[tex]y=\frac{x-1}{(x+1)^2}+2[/tex] [tex][1.1][/tex]

Because the line must touch the curve, we may substitute [tex]y=\frac{x}{x+1}:[/tex]

[tex]\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2[/tex]

Solve for x:

[tex]x(x+1)=(x-1)+2(x+1)^2[/tex]

[tex]x^2+x=x-1+2x^2+4x+2[/tex]

[tex]x^2+4x+1[/tex]

[tex]x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}[/tex]

[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex]

[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex] [tex]and[/tex] [tex]x=-2-\sqrt{3}[/tex]

There are 2 tangent lines.

[tex]y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2[/tex]

and

[tex]y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2[/tex]

Answer:

one hundred twenty-five and sixty-five thousandths

Step-by-step explanation:

The 125 part is simply one hundred twnty five.

The .065 has the 5 in the thousandths place, so it is sixty-five thousandths.

Answer: one hundred twenty-five and sixty-five thousandths

Answer:

2515 number of copies sold to date

Answer:

The data is skewed left

Less than

Median is 22

mean is 20.2

Step-by-step explanation:

median: 15,16,18,19,22,22,22,22,23,23

mean: 15+16+18+19+(22x4)+(23x2)=

31+37+88+46=

68+134=202÷10=20.2

Answer:

1) 7420

2) 7865.5

Step-by-step explanation:

The Formula for Compound Intertst is Amout(rate/100+1)^number of years

7000(.06+1)^1

7000(.06+1)^2

Answer:

I'm not sure if it's correct

Answer:

[tex] {4x}^{2} - 20x + 25[/tex]

Step-by-step explanation:

[tex] {(2x - 5)}^{2} = {(2x)}^{2} - 2(2x)(5) + {5}^{2} = 4 {x}^{2} - 20x + 25[/tex]

Answer:

Emily, use the circle formula to solve this (x−a)^2 + (y−b)^2 = r^2

Step-by-step explanation:

where  a  and b are the center off sets in the x and y directions , repspectively.  

(x - 5)² + (y + 2)² =81/4

So you now know,  the center is at   (x,y) = ( 5, 2)

and the radius is   [tex]\sqrt{\frac{81}{4} }[/tex]  ,  why is is square rooted ?  you ask.

because in our formula above it's   r^2  .. so we need to square root it to find it's value.

[tex]\frac{\sqrt{81} }{\sqrt{4} }[/tex]  =  [tex]\frac{9}{2}[/tex]  =  4.5  rounded to two decimals    4.50 but not necessary

Answer:

5+4i=4i+5

5i-4=-4+5i

-5i-4=-4-5i

Step-by-step explanation:

5+4i=4i+5

5i-4=-4+5i

-5i-4=-4-5i

Find the two that are the same with the terms swiched around and you get the answer.

Answer:

Q1: 6

Med: 11

Q3: 13

Box plot: Place the far left line on 2 and the far right line on 14 to represent the minmum and maximum. For the box, drag the middle line inside to 11, keep the left side of the box on six and drag the right side to 13. It should look like the picture below when you're done.

Step-by-step explanation:

hope this helps!

Answer: 11.4

Step-by-step explanation:  In the fraction 57/5, 57 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 57/5 is same as "57 divided by 5" or "57 ÷ 5".

When we calculated 57 divided by 5, we found that 57/5 in decimal form is:57 ÷ 5 = 11.4 Therefore, the decimal form of 57/5 is 11.4

Hope I helped <3

Answer:

I believe 20. is (0,0)

Step-by-step explanation:

Sorry if I'm mistaken, I don't know number 18. though. I'm terribly sorry. I hope you figure it out soon and you have an amazing day! ^^ <3

Answer:

f(-2) = -3

Step-by-step explanation:

Step 1. Find equation

Step 2. Plug (-2) into f(x)

m, rise/run = (-2-0)/(0-4) = -2/-4 = 1/2

b, y-intercept = (0, -2)

y = 1/2x - 2

f(-2) = 1/2(-2) - 2

f(-2) = -1 - 2

f(-2) = -3

If you want to cheat, simply look for x = -2 on the graph and see where it touches the line. Then match the y-value and BOOM: (-2, -3), f(-2) = -3

Answer:

Between 0 and 1 there is 12, between 1 and 2 there is 112=3/2, and so on. In fact, there are infinitely many fractions between any two whole numbers. Let's see why. Between 0 and 1 there are also 13, 14, 15, and any number that can be written as 1n where n is some whole number.
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Hope this helped! Have a nice day!
Please give Brainliest when you can.
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Answer:

Using 3.14 for pi

SA =1808.64 cm^3

Using the pi button

SA =1809.557368 cm^3

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

We are given a radius of 12

SA = 4 pi ( 12) ^2

SA = 4 pi * 144

SA = 576 pi

Using 3.14 for pi

SA =1808.64 cm^3

Using the pi button

SA =1809.557368 cm^3

Answer:

a = 60°

b = 3cm

Step-by-step explanation:

Congruent angles

Parallel/congruent sides

Answer:

a=120 b=3

Step-by-step explanation:

For A you use 180-60 so you will get 120 for answer.

For B line PQ is parallel to line SR so 3 will be the answer

Answer:

A Rectangle should fit all these rules.

Answer:

152 in^2

Step-by-step explanation:

If you take the left side and consider it a whole rectangle, you can calculate the area of that triangle to be 80. Using the same method, you can find the area of the rectangle of the right to be 72. Then add them together.

80 + 72 = 152 in^2

Answer:

It should be D

Step-by-step explanation:

I think it’s D since that’s what I got

Answer:

5

19

Step-by-step explanation:

Is the correct answer to the probability

Answer:

2.5

Step-by-step explanation:

i am not absolutely sure but according to me it is right

ANSWER:

2.45

Expalnation:

If you add/subtract 0.75 to the corrct side, you'll get 2.45.

3.2-2.45=0.75

2.45-1.7=0.75

Hence, this is the corrct answer.

Answer:

300 lbs

Step-by-step explanation:

We know that Larry bench pressed 200 lbs last week, and that he is supposed to increase by 15%. We know that any number times one is that same numbers. That means a number that is increaseing has to be greater than 1. So, we have to convert 15% into a decimal. That is 0.15. That plus one is 1.15. Now we just have to multiply 1.15 with 200. We get 300.

Answer:

Summary:

The solution to 2.5 - 1.2x < 6.5 - 3.2x lies in the interval (-∞, 2).

Answer:

First, evaluate 3^3

3^3 means three times itself three times.

[tex]3 * 3 * 3 = 27[/tex]

[tex]\sqrt{27} = 5.19[/tex]

Next, square root eight.

[tex]\sqrt{8} = 2.82[/tex]

Now, divide the two numbers.

[tex]5.19 / 2.82 = 1.84[/tex] if needed, include full form: 1.840425531914894

(3n)³ = 27

= 27√8 = 2.82

= 27√8 = 2.82√27 = 5.19

5.19/2.82 = 1.84

Here is your answer buddy..

Answer:

Option D, [tex]f =[/tex] ± [tex]4.12[/tex]

Step-by-step explanation:

Step 1:  Subtract 153 from both sides

[tex]-9f^2 + 153 = 0[/tex]

[tex]-9f^2 + 153 - 153 = 0 - 153[/tex]

[tex]-9f^2 = -153[/tex]

Step 2:  Divide both sides by -9

[tex]\frac{-9f^2}{-9} = \frac{-153}{-9}[/tex]

[tex]f^2 = 17[/tex]

Step 3:  Square root both sides

[tex]\sqrt{f^2} = \sqrt{17}[/tex]

[tex]f =[/tex] ± [tex]4.12[/tex]

Answer: Option D, [tex]f =[/tex] ± [tex]4.12[/tex]

Answer:

Option B is the answer

am not really sure though