Two numbers are randomly selected from the following set without replacement.
{3, 16, 2, 11, 15, 6, 14, 7, 10, 1}
a. What is the probability that they are both even?
b. What is the probability that they are both prime? Note: 1 is not prime.
c. What is the probability of the sum of the two numbers being even?
d. What is the probability of the product of the two numbers being odd?
The last two problems are based on a single draw from the set.
e What is the probability that a prime number was drawn from the set, given that it
is an odd number.
f. What is the probabilityselected from the set. that a prime number was drawn from
the set, given that it is an even number.

Answer:

( x - 8 ) ( x + 2 )

Step-by-step explanation:

x² - 6x - 16

= x² + 2x - 8x - 16

= x ( x + 2 ) - 8 ( x + 2 )

= ( x - 8 ) ( x + 2 )

Answer: He's right its D.) (x-8)(x=2)

Step-by-step explanation:

Answer:

your answer to this question is 35

Answer: 5

Step-by-step explanation: 21 + 4 = 25

square root of 25  = 5

Answer and Step-by-step explanation:

T = 21

U = 4

[tex]\sqrt{ 21 + 4} \\\\\\\sqrt{25} \\\\\\5[/tex]

5 is the answer to the expression.

#teamtrees #PAW (Plant And Water)

The equation of the following line is y= -1/5x.

Option F is correct.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

From the graph we have the coordinates as (0, 0) and (10, -2)

So, the slope of the line is

= (-2 - 0) / (10- 0)

= -2/ 10

= 1-5

and, using the slope intercept is

y= mx+ b

y= -1/5x + b

Now, put x= 0 and y= 0 in above equation

0 = 1/5(0) + b

b= 0

So, the Equation of line is

y= -1/5x

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ7

Answer:

1. 1/13,300

2. 1/13,300

3. 2607/2660

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcome. The probability that an event will happen added to the probability of the same even not happening is 1.

Given that there are 400 containers of frozen orange juice with 4 that are defective,

non-defective = 400 - 4 = 396

Probability of selecting

Non-defective  = 396/400 = 99/100

Defective = 4/100 = 1/100

the probability that the second one selected is defective given that the first one was defective is the same as  the probability that both are defective

= 4/400 *3/399

= 1/13,300

the probability that both are non-defective

= 396/400 * 395/399

= 99/100 * 395/399

= 33*79/20*133

= 2607/2660

Answer:

the answer is the cheese soup has a good change of being picked but not as good as the chicken soup there would so 3:2 to 2. so if they picked the cheese soup the first time then there is not a good change of the cheese souo to be picked again i hope that helps if not let me know

Answer:

The average is 5.41666667 degrees.

Step-by-step explanation:

Answer:

x²+8x+9=0

Comparing above equation with ax²+bx +c

we get

a=1

b=8

c=9

quadratic equation is

[tex]x = \frac{ - 8± \sqrt{ {8}^{2} - 4×1×9} }{2*1} [/tex]

[tex]x = \frac{ -8± \sqrt{ 64-36} }{2} [/tex]

2x+8=±[tex] \sqrt{ {28}}[/tex]

taking + ve

2x=[tex] \sqrt{ {28}}[/tex]-8

x=[tex] 2\sqrt{ {7}}[/tex]-8/2

x=[tex] \sqrt{ {7}}[/tex]-4

taking -ve

2x=-[tex] \sqrt{ {28}}[/tex]-8

x=-[tex] 2\sqrt{ {7}}[/tex]-8/2

x=-[tex] \sqrt{ {7}}[/tex]-4

As given

General equation

On comparing

Answer:

3/2

I hope this is correct

Answer:

3/2 = 1.5

Step-by-step explanation:

Find two corresponding sides whose lengths are given.

AB and WX

The scale factor from quad ABCD to quad WXYZ is the ratio of a length in WXYZ to the corresponding length in ABCD.

scale factor = 12/8 = 3/2 = 1.5

Step-by-step explanation: Tenth is always the first decimal point so 1 rounds down, making it 628.3.

Answer:

628.3

Step-by-step explanation:

A Tenth is the number after the dot. It rounds down 3, therefore, the answer is 628.3.

Answer:

1. 22% of 10 = 2.2

2. 16% of 30 = 4.8

3. 25% of 50 is 12.5

4. 65% of 300 = 195

5. 10% of 450 = 45

HAHA, I KNEW IT!!!

HOPE THIS HELPS!!!!

MARK AS BRAINLIEST (probably)

GIVE 5 STARS PLEASE

Answer:

Step-by-step explanation:

For each questions, multiply the whole number by the percentage.

Or, change each percentage by getting rid of the percentage sign and dividing by 100.

EX : 65% = .65   or   22% = .22

10 x .22 = 2.2

Answer:(2,36)and (3,54)

Step-by-step explanation:

Answer:

(2, 36) and (3, 54)

Step-by-step explanation:

I just answer the question from iready and I got it correct.

Answer:

Step-by-step explanation:

lol true

Answer:

The distance would be [tex]\sqrt{97[/tex].

Step-by-step explanation:

The least distance between them would be to draw a straight line between them.

By calculating the distance between the y values and the x values, you can calculate the distance.

y values:

|5 - 1| = 4

x values:

|6 - -3| = 9

| | = the absolute value, meaning you change the final sign to positive.

Use the Pythagorean theorem [tex]a^2 +b^2=c^2[/tex] and substitute the numbers in.

[tex]4^2 + 9^2=c^2 \\c^2 = 97\\c=\sqrt{97[/tex]

Answer: According to the trendline it would be about 6 lbs

Step-by-step explanation:

Answer:

C.

Step-by-step explanation: I did the test </3

Answer: 14.6

Step-by-step explanation:

I made a square around the triangle which I then counted the squares, found the Pythagorean theorem, and then added the missing sides together

Answer:

192/12=16 per hour

16 x 17 = 272

Step-by-step explanation:

Answer:

I don't know thank answer sorry I just really need points you can report me if you want but I REALLY need some

Answer:

0.4c

Step-by-step explanation:

Given that :

Price of mp3 is reduced by 60%

Let initial price of mp3 = c

Discount on price = 60% = 0.6

Discounted price = initial price - discount on price

Discounted price = c - 0.6c

Discounted price = 0.4c

Answer:

The approximate age of the bone is approximately 11552 years.

Step-by-step explanation:

The current proportion of carbon-14 with respect to its original amount is defined by following formula:

[tex]\frac{y}{a} = e^{-0.00012\cdot t}[/tex] (1)

Where:

[tex]y[/tex] - Current amount of carbon-14, no unit.

[tex]a[/tex] - Initial amount of carbon-14, no unit.

[tex]t[/tex] - Time, in years.

If we know that [tex]\frac{y}{a} = 0.25[/tex], then the approximate age of the bone is:

[tex]t = -8333.333\cdot \ln \frac{y}{a}[/tex]

[tex]t\approx 11552.453\,yr[/tex]

The approximate age of the bone is approximately 11552 years.

Answer:

Fibonacci

Step-by-step explanation:

the Fibonacci sequence

Answer: 360

Step-by-step explanation: Sum of exterior angles of any convex polygon is always 360, think about it.

Answer:

(a−5)(a−7)

Step-by-step explanation:

factor a2−12a+35

a2−12a+35

The middle number is -12 and the last number is 35.

Factoring means we want something like

(a+_)(a+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -12

Multiply together to get 35

Can you think of the two numbers?

Try -5 and -7:

-5+-7 = -12

-5*-7 = 35

Fill in the blanks in

(a+_)(a+_)

with -5 and -7 to get...

(a-5)(a-7)

Answer:

I hope this helps but I do not really know what your school is like.

Step-by-step explanation:

Dear Friend,

I wish you could be here at my school, it is really a great school. Here everyone is so helpful, and you are sure to find lots of friends. The teachers don't care of your race, gender, or backround, or anyone. Everyone is so nice and caring. Also, their food is healthy and delicious, and they have different varieties of food each day so that you have to pick from. Did I also tell you that, safety is the number one thing that is on the list, they help remind you what you can do to stay safe, and they have top security with guards, cameras, locked gates, and drills. Also, during lunch or recess or lunch they have plenty of things you do, like they have benches for relaxing, basketball courts, and a big soccer field. Finally, bullying is not tolerated here. But, if there is anything that is bothering you, we beautiful amazing counselors that will help you through anything. So, I help this makes you want to come over here.

      -Sincerely,

               Your friend.

Answer:

A

Step-by-step explanation:

-y = -2x+5

y = 2x-5

3x+2(2x-5)= -3

Answer:

250

Step-by-step explanation:

i did cross multiplication 40/100 = 100/x

100*100 and divide by 40

Answer:

41

Step-by-step explanation:

Its correct ^^

Answer:

6.25

Step-by-step explanation:

Answer:

[tex]0.64*y = 40[/tex]

Step-by-step explanation:

Answer:

64/100=40/y

Step-by-step explanation:

We use the simple equation of finding percentages, which would be the percentage (64) over 100 percent, as this is our total. If 64 percent of y equals 40, then the equation is 64/100=40/y. To solve for y, multiply 100 x 40= 4000, then divide by 64 to get the answer. Y=62.5