3. Josh has 18 black socks and 12 white socks. Every morning he chooses one sock at random
After he has pulled that one sock out, he chooses another sock at random and wears them!
What is the probability that he...
a. first chooses a white sock, then a white sock?
b. first chooses a black sock, then a black sock?
c. first chooses a white sock, then a black sock?
d. first chooses a black sock, then a white sock?
e. gets a matching pair?
f. gets a mismatching pair?

Answer:

second answer: y = 5x + 120; $180

Step-by-step explanation:

he starts with $120.

so, whatever else he does per month, there will always be the $120 starting amount to be added.

so, the third and the fourth answers are out.

then think : $5 every month.

that is how much after 2 months ? 2×5 = $10.

how much after 3 months ? 3×5 = $15.

so it has to be an equation that contains 5x (5 times the number of months).

combining both thoughts :

y = 5x + 120

now let's use x = 12 (for 12 months = 1 year).

5×12 + 120 = 60 + 120 = $180.

yes, it is that simple. no hidden "hocus pocus" is needed. just common sense.

Answer: 27.62

Step-by-step explanation:

plug in 2.3 wherever 'n' is

I'm assuming that the '2' in 8n2 is an exponent

2.3 + 8(2.3)² - 17 =

Using PEMDAS

start out with exponent since there isn't any parenthesis  

(2.3)² = 5.29

2.3 + 8(5.29) - 17

move on to multiplication

8(5.29) = 42.32

2.3 + 42.32 - 17

with addition and subtraction, you do whichever comes first and since this equation starts with addition we'll start there

2.3 + 42.32 = 44.62

then the subtraction

44.62 - 17 = 27.62

Answer:

Step-by-step explanation:

The answer is 27.62

Answer:

14 over 6 is the right Answer :)

Step-by-step explanation:

To convert a fraction to a ratio, first write down the numerator, or top number. Second, write a colon. Thirdly, write down the denominator, or bottom number. For example, the fraction 1/6 can be written as the ratio 1:6.

Step One: Reduce the fraction

14

6

=

7

3

Step Two: Rewrite as a ratio

7

3

=7 : 3

Answer:

14/6 and 70/30

Step-by-step explanation:

Both 14/6 and 70/30 can be reduced to 7/3 but 3/7 and 70/3 can not

Answer:a

Step-by-step explanation:

The solution to the equation ax² + bx + c = 0 , has a graph that crosses the y-axis once and does not intersect the x-axis, then the equation has one real root and two complex conjugate roots that lie on either side of the axis of symmetry.

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

If the graph of the equation ax² + bx + c = 0 crosses the y-axis once, it means that the equation has one real root. This is because when x = 0, the equation becomes:

c = 0² + 0 + c = c

Therefore, the point (0, c) is on the y-axis, which means the graph crosses the y-axis once.

If the graph does not intersect the x-axis, it means that the discriminant b² - 4ac is negative. This is because the discriminant determines the nature of the roots of a quadratic equation, and when it is negative, the roots are complex (not real) and the graph does not intersect the x-axis.

So, the solution(s) of the equation ax² + bx + c = 0 are:

x = (-b ± √(b² - 4ac)) / 2a

Since the discriminant is negative, the term inside the square root is negative, and there are no real solutions for x. Instead, the solutions are complex conjugates of the form:

x = (-b ± i√(4ac - b²)) / 2a

where i is the imaginary unit. Since the real part of these solutions is -b/2a, which is the axis of symmetry of the parabola, and the parabola does not intersect the x-axis, the complex roots will be a conjugate pair that lie on either side of the axis of symmetry.

Hence , the quadratic equation is solved

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Answer:

1-342.1

2-557.2

3-285.2

4-201.6

5-33.1

6-6

7-356.4

8-1000

Step-by-step explanation:

Answer:

1-342.12-557.23-285.24-201.65-33.16-67-356.48-1000

Answer:

398.24

Step-by-step explanation:

Answer:

Perimeter is 12mm, height is \(2\sqrt3\)mm in simplest radical form, and 3.5mm in approximate decimal form.

Step-by-step explanation:

The perimeter is easy; since it's an equilateral triangle, all sides are the same length of 4, so you can just do 3*4 (3 sides, 4mm each) to get a perimeter of 12.

For the height, you can see that it forms two right triangles, each with a given base of 2 and a hypotenuse of 4. We can apply the pythagorean theorem (\(a^2+b^2=c^2\)) here to find the missing leg length of the smaller right triangles, which is equal to the big triangle's height.

I've enclosed an attachment for that.

Hope this helps!

Answer:

-192

Step-by-step explanation:

The smallest number is the one closest to zero, or after zero, if it's a negative number, while the largest number is the number with the largest difference from the smallest, or the highest of value (not considering all situations). Usually, you would use the ascending order method for graphing numbers based on their value, which is indeed smallest to largest. According to thefreedictionary.com, "A function or variable continuously approaching zero as a limit." Tip: In ordering numbers based on value, the whole numbers that aren't negative are considerably believed to be the easiest numbers to order.

With that being said, here is the order of the numbers from smallest to largest:

4.38

4.5

4.6

4.9

Answer:

Here are the numbers ordered from closest to zero to farthest from zero:

4.38 (closest to zero)

4.5

-4.6

-4.9 (farthest from zero)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 904.78

Explanation:

V=4

3πr3=4

3·π·63≈904.77868

Answer: y = 5/2x - 1

Step-by-step explanation:

The y-intercept is -1 so you would start at (0,-1) and go up 5 units and to the right 2 because of the slope 5/2 (rise over run).

Answer: I can’t draw lol

But the comic version looks like he man it’s funny

Step-by-step explanation:

Answer: B) 3.875

Step-by-step explanation:

To start off, finding the mean is the AVERAGE. To find the average, you must add all of the values, and divide by however many values there are (in this case, there are 12) So first add all of the values:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2+2.2+2.5+3.1+3.3+3.4+4.1+4.1+4.5+5+5.6+6.7 = 46.5 (or 46.50)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

next, you divide 46.5 by however many values there are (in this case, there are 12)

So, 46.5 / 12 is equal to 3.875

This tells us that the average distance of the throw is 3.875 feet

Therefore, the correct answer is B.3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.

HOPE THIS HELPS YOU! HAVE A GOOD DAY!

Answer:

A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:

(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.

(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.

(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.

(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.

So, the pairings that always describe a function are:

(a person’s age in years, that same person’s height in inches)

(a person’s weight in pounds, that same person’s height in inches)

(a person’s height in centimeters, that same person’s height in inches)

These three pairings meet the criteria of a function, where each input corresponds to a unique output.

The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)

A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:

1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).

2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.

3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.

4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).

So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)

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Formula used,

Area of rhombus = Base × height

Substituting the values,

\( \longrightarrow\)Area = 18 × 15.5

\( \longrightarrow\) Area = 279 cm²

Therefore, 279 cm² is the area of the rhombus .

Answer:

D) 279 cm²

Step-by-step explanation:

Area of a rhombus formula:
\(A=bh\)

This formula is also used for squares and rectangles.

So, we can substitute in our values such as:

A=(18)(15.5)

simplify

A=279

Now, add our label and units:

A=279 cm²

Hope this helps! :)

The correct statement is a. There are 1,000,000 milliliters in a kiloliter.

A kiloliter is a unit of volume equal to 1,000 liters. One liter is equal to 1,000 milliliters. Therefore, one kiloliter is equal to 1,000 x 1,000 = 1,000,000 milliliters.

Answer:

5 males : 4 females

40 males : X females

5/40 =4/X

(cross multiplication)

5x = 4*40

5x = 160

(divide both sides by 5)

X = 32

therefore, there are 32 females at the camp

When we're solving with scale factors, we either divide or multiply.

If the shape becomes larger, we multiply to get the new length.

If the shape becomes smaller, we divide to get the new length.

We're given:

Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.

2.5 x 6 = 15

Therefore, the missing side length is 15 units.

15 units

Answer:

6

Step-by-step explanation:

Answer:

3/12 = 4/12

or

3/12 = 1/3

being are last boxes to autofill.

Step-by-step explanation:

1/12 +1/4 = 1/12 + 3/12 = 4.12 = 1/3

When adding the rule of fractions is where required make all denominators the same by dividing the one you want to change to- by the subset one you are changing.

12 / 4 = 3

we get 3/12

Then when adding same denominators 1/12 + 3/12 we just add the top values. = 4/12

The last box would be 4/12 but if asked to simplify we would automatically enter 1/3 for simplification.

As 4/12 = 1/3

Answer:

1. 3

2. 5

3. 12

Step-by-step explanation:

1/4=3/12

Answer:

x=20 degrees

2x-7+6x+7+20=180

Step-by-step explanation:

the total degrees of a triangle is 180

Answer:

b

Step-by-step explanation:

how it works with life

Answer:17

Step-by-step explanation:

1) 30 -13=17

n=17

Answer:

Step-by-step explanation:

Here,

h = 3.75w + 14

=> h = 3.75(1) + 14

=> h = 17.75 inches

So,

We can conclude that this equation shows : How much the sunflower grows, in inches, each week.