Definition: An outcome in a probability experiment.

Answer:

1) 1.4%

2) 8.3%

3) 20.8%

Step-by-step explanation:

Alrighty! You are looking at some compound probability problems.

The trick with these is to figure out the probability of each piece of an event, and then multiply those together to get the overall probability.

Quick note about notation: p(event A) is short hand for saying "The probability of event A is....."

1) Flipping head, rolling a 5, and rolling a 2

P(flipping heads) = 1/2

p(rolling a 5) = 1/6

p(rolling a 2) = 1/6

so: (1/2) x (1/6) x (1/6) = 1/72 or about 1.4%

2) Flipping tails, rolling an odd number, and rolling a 4

p(flipping tails) = 1/2

p(rolling an odd number) = 3/6

p(rolling a 4) = 1/6

so: (1/2) x (3/6) x (1/6) = 3/72 or about 8.3%

3) Flipping head, not rolling a 2, and rolling an even number

p(flipping heads) = 1/2

p(not rolling a 2) = 5/6

p(rolling and even number) = 3/6

so: (1/2) x (5/6) x (3/6) = 15/72 or about 20.8%

Answer:

5/12

Step-by-step explanation:

We have to find same denominator for both fractions;

3/4= 9/12

1/3= 4/12

9/12 minus 4/12= 5/12

You will need 5/12 powder more for the experiment.

Answer:

Step-by-step explanation:

Given the radius and length of a side of regular octagon as shown;

radius = 6ft and length of side = 4.6ft

Area of a regular octagon is expressed as [tex]A = 2(1+\sqrt{2} )a^{2}[/tex] where a is the length of one side. Given a = 4.6ft

Area = [tex]A = 2(1+\sqrt{2} )(4.6)^{2}\\[/tex]

[tex]= 2(1+\sqrt{2} )*21.16\\= (2+2\sqrt{2})*21.16\\ = 4.83*21.16\\= 102.20ft^{2} \\[/tex]

Area of the regular octagon is approximately 102ft²

The approximate area of a regular octagon with a radius of 6 ft and a side length of 4.6 ft is about 110 ft², found using the area formula for regular polygons.

To approximate the area of a regular octagon, one can break it down into triangles or use a formula. In this case, let's use the formula for the area of a regular polygon, which is: A = (1/2) × Perimeter × Apothem. The apothem can be found using trigonometry since we have a regular octagon, or we could calculate the area as eight identical isosceles triangles, where each triangle's area is (1/2) × base × height.

The student has provided that the side length (s) is 4.6 ft. For a regular octagon, we have 8 such sides. Therefore, the perimeter (P) is P = 8s = 8  imes 4.6 ft = 36.8 ft. Assuming the radius given is the apothem, we can directly calculate the area using the formula:

A = (1/2) × P × Apothem = (1/2) × 36.8 ft × 6 ft = 110.4 ft².

The approximate area of the octagon is therefore about 110 ft², after rounding off to the nearest whole number (due to the significant figures rule).

Answer:

y=29

Step-by-step explanation:

y=5+6(4)

y=5+24

y=29

BRAINLIEST PLZ

Answer:

When x is 4, y = 29

Step-by-step explanation:

the equation y = 5 + 6x, states that y equals 5 + 6 TIMES whatever x is.

So if x = 4, then you can substitute x in the equation to get this:

Y = 5 + 6(4) - substitute x with 4

Y = 5 + 24 - multiply 6 by 4  [6 + 6 + 6 + 6 = 6 x 4]

Y = 5 + 24 - add 5 and 24 together

Y = 29 - 5 + 24 = 29

Therefore, Y = 29

Answer:counselor more than or equal to 10 hours

Baby sitting more than or equal to 30 hours

Step-by-step explanation:

Answer:

31.416

Step-by-step explanation:

2 times Pi (3.14) times the radius (5)

The radius into the formula gives a circumference of 10π feet.

The circumference of a circle can be calculated using the formula:

Circumference = 2 x π x radius

Given that the radius of the circle is 5 feet, we can substitute this value into the formula to find the circumference:

Circumference = 2 x π x 5 = 10π feet

Therefore, the circumference of the circle is 10π feet.

Answer:

0.16

Step-by-step explanation:

brailiest please:))

Answer:

P(compact cars) = 4/25 or .16

Step-by-step explanation:

We know that there are 13 trucks, 8 vans, and 4 compact cars.

Let P denotes the probability of an event

Now we are asked to find the probability of compact cars

Number of favorable events = number of compact cars = 4

total number of outcomes = 13+8+4 = 25

hence, P(compact cars) = number of favorable events/total outcomes

                                       =4/25 or .16

The roots of the quadratic equation x² - 11x - 121 = 0 are, [11 ± 11(√5)]/2.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A quadratic equation x² - 11x - 121 = 0.

Applying Sridhar acharya's formula [- b ± (√b² - 4ac)]/2.

We have, [11 ± (√121 + 484)]/2.

[11 ± (√605)]/2.

[11 ± 11(√5)]/2.

x = (11 + 11√5)/2 or (11 - 11√5)/2.

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Answer:

5 r 13

21 x 5 = 105

118-105=134

5 r 13

Step-by-step explanation:

Answer: 5 Reminder 13

Step-by-step explanation: 118 divided by 21 =5

Answer:

12x10^8

Step-by-step explanation:

This is easy

The required probability is 0.687% or 0.6867.

Given Probability:
The probability that a single student exercises regularly is 37%, or 0.37.

Probability for Independent Events:
Since the events are independent events (each student's response does not influence another's), multiply the individual probabilities together. For 5 students, the calculation is :

[tex]Probability\ that\ 5\ randomly\ selected\ students\ will\ say\ thay\ they\ exercise\ regularly = P(5) = 0.37^5[/tex]

Calculation:
[tex]P(5) = 0.37^5 \approx 0.006867[/tex]

Converting to Percent:
To convert this decimal to a percentage, multiplying by 100:
[tex]0.006867 \times 100 \approx 0.6867 \%[/tex]

Rounding:
Finally, rounding to the nearest thousandth:
Probability = 0.687%

So, the probability that 5 randomly selected students will say they exercise regularly is approximately 0.687%.

Answer:

Markets ensure that the transactions are secure

Step-by-step explanation:

The purpose best served by markets in the context of online stock trading is that markets are where the trades actually occur.

Option B is the correct answer.

A stock is a type of security that represents ownership in a company. When a company needs to raise funds for its operations or expansion, it can issue stocks to investors in exchange for capital.

We have,

The market provides a platform for buyers and sellers to come together and trade stocks.

While online trading platforms allow investors to place orders and manage their investments, it is the market that facilitates the actual exchange of securities between buyers and sellers.

Markets provide liquidity to investors by enabling them to easily buy and sell stocks, and they also help to determine the prices of securities based on supply and demand.

While markets may have rules and regulations in place to ensure the security and fairness of transactions, their primary purpose is to facilitate trading.

Thus,

The purpose best served by markets in the context of online stock trading is that markets are where the trades actually occur.

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Answer:

-3

Step-by-step explanation:

As per the given equation, the slope of the line is -3.

In mathematics, the slope of a line is a fundamental concept that describes the steepness or incline of the line. It measures how much the y-coordinate changes relative to the corresponding change in the x-coordinate. The slope is represented by the coefficient of the x-term in the equation of the line, when it is written in slope-intercept form

(y = mx + b).

The given equation is y = -3x + 5. Here, -3 is the coefficient of the x-term, which is the slope of the line. Since the equation is already in slope-intercept form (y = mx + b), we can directly identify the slope as -3.

A slope of -3 means that for every 1 unit increase in the x-coordinate, the y-coordinate decreases by 3 units. Conversely, for every 1 unit decrease in the x-coordinate, the y-coordinate increases by 3 units. The negative sign indicates that the line is decreasing from left to right, sloping downwards.

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Explanation:

Refer to the diagram below. The longest side of a triangle is always opposite the largest angle. Angle Q = 80 is the largest angle, so the opposite side RS is the longest side.

Side note: the smallest side is always opposite the smallest angle

Answer:

The answer is B:QR

Answer:

No

Step-by-step explanation:

I got it right

The point (-4, -4) does not satisfy the inequality y > -6x – 1, therefore it is not a solution to the inequation.

To determine whether the point (-4, -4) is a solution to the inequality y > -6x – 1, we need to substitute the points into the inequality and see if they satisfy it.

We replace y with -4 and x with -4 in the given inequality:

-4 > -6*(-4) -1

-4 > 24 - 1

-4 > 23

As we observe, the inequality is not satisfied. Thus, the point (-4, -4) is not a solution of the inequality y > -6x – 1.

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Answer:

The Answer is : D

Step-by-step explanation:

First find the slope of the line that the equation should be parallel to. In this case it is 2/1 which simplified is 2.

Next insert the X (4) of the point (4,1) and solve to see if you get the Y(1).

y-1 = 2 (4-4)

y-1= 2 (0)

y-1= 0

y= 1

In this case D is correct.

TIP*

If you see the question ask you about a parallel formula, look at the slopes of them to see if they match up. Parallel formulas have the same slope, just a tip because you can see in the answer choices none of the equations have the same slope as the line on the graph except for D.

Final answer:

The measure of angle RSM is calculated to be 45 degrees.

Explanation:

The problem involves a triangle RSM where angle SRM is twice the measure of angle RSM, and a point O on side RS such that SO=SM.

Given that the length of the angle bisector of angle RMS equals RO, we seek to determine the measure of angle RSM.

Since the problem is based on the properties of triangles and angle bisectors, and it does not provide enough information to use standard geometric methods, we infer that the triangle RSM must be an isosceles triangle.

This is because SO=SM, which implies that angles RSM and RMS are equal.

Since SRM is twice RSM and the sum of angles in a triangle is 180 degrees, we can set up the equation

2x + x + x = 180,

where x is the measure of angle RSM.

Solving, we get 4x = 180, so x = 45 degrees.

Therefore, the measure of angle RSM is 45 degrees.

Answer:

150 in^2

Step-by-step explanation:

1/2*25*12=150

note: the number 20 and 15 doesn't matter as the formula for triangle is 1/2*w*h

but im sorry if it might be incorrect

Answer:C

Step-by-step explanation:

Answer:

1365

Step-by-step explanation:

Answer:

638

Step-by-step explanation:

1. Isolate the variable 881 = k - (-243)

                                  -243         -243

2. combine like terms 881 - 243 = k

3. answer 638

Answer:

D. obtuse, scalene​

Step-by-step explanation:

The largest angle is 116 degrees which is obtuse ( angle greater than 90 degree), so the triangle is classified as obtuse

All of the sides are different lengths, which is scalene( none of the sides are the same)

Answer:

[tex]\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right][/tex]

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

since our system of equations is:

[tex]3x-5y=12\\ 4x-2y=15[/tex]

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

[tex]\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right][/tex]

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

[tex]\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right][/tex]

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

[tex]\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right][/tex]

usually there is a line separating the columns for the values of x and y, and the independent values:

[tex]\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right][/tex]

this is the matrix of the system of equations

Answer:

area = 6[tex]\sqrt{14}[/tex]  units²

Step-by-step explanation:

Given the 3 sides of a triangle, we can use Hero's formula to calculate the area (A)

A = [tex]\sqrt{s(s-a)(s-b(s-c)}[/tex]

where s s the semi perimeter and a, b , c the sides of the triangle

let a = 5, b = 9 and c = 10

s = [tex]\frac{a+b+c}{2}[/tex] = [tex]\frac{5+9+10}{2}[/tex] = [tex]\frac{24}{2}[/tex] = 12

A = [tex]\sqrt{12(12-5)(12-9)(12-10)}[/tex]

   = [tex]\sqrt{12(7)(3)(2)}[/tex]

   = [tex]\sqrt{504}[/tex]

   = [tex]\sqrt{36(14)}[/tex]

   =  6[tex]\sqrt{14}[/tex] units²

Answer:

Step-by-step explanation:

a = 5 units ; b = 9units ; c = 10 units

Semi perimeter = (a+b+c)/2 = (5+9+10)/2 = 24/2 = 12 units

s-a = 12 -5 = 7 units

s -b = 12 - 9 = 3 units

s-c = 12- 10 =2 units

[tex]Area=\sqrt{s*(s-a)(s-b)(s-c)}\\\\=\sqrt{12*7*3*2}\\\\=\sqrt{2*2*3*7*3*2}\\\\=2*3\sqrt{2*7}\\\\=6\sqrt{14}\\[/tex]

=6*3.742 = 22.452

= 22.45 square units

Answer:

10%

Step-by-step explanation:

Take the original amount and subtract the new amount

270-243=27

Divide this by the original amount

27/270 = .10

Multiply by 100 to change to percent form

10%

Since the amount went down, we know this is a decrease

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Answer:

1/2x +7

Step-by-step explanation:

Let the unknown number be x

We want 1/2 of the number

1/2x

Then 7 more than  (add)

1/2x +7

Answer:

$315

Step-by-step explanation: