8) There are six boys and seven girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different
student to answer another
question. The
first student is a boy and the second
student is a girl.
I
Are the events independent or dependent?
What is the probability?

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:

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:

volume of cone= 1/3πr²h

1×3.14×5×5×11

3

863.5

3

287.83cm³

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:

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:

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: 8:15

Step-by-step explanation:

If she leaves at 7:50 and arrives to work 25 minutes later, then she will get there at 8:15.

Something easy you could use:

7:50 25

+ 10 -10

____ ___

8:00 15

+ 15 -15

____ ____

8:15 0

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:

232 square feet

Step-by-step explanation:

400x58%=232

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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The function y = f(x) = 2x, when evaluated for x = -3, gives the result as -6. Expressed in decimal format to the nearest thousandth, this is -6.000.

This question relates to the function y = f(x) = 2x. To work out f(x) when x = -3, you simply substitute -3 into the function. So, you have 2 * -3 which equals -6.

In decimal format, rounded to the nearest thousandth, as stipulated in the question, this is -6.000.

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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

etyfhjrutgjbkvlc;sofhgjl;b'vcz';stdfljghcb/vbzdgrsy;tdughokmbnl ;/

Answer:counselor more than or equal to 10 hours

Baby sitting more than or equal to 30 hours

Step-by-step explanation:

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:

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:

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:

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:

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:

As the temperature increases, the ice cream sales increase.

Answer:

12x10^8

Step-by-step explanation:

This is easy

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

Answer:

$315

Step-by-step explanation:

Answer:

y = 19

Step-by-step explanation:

y = mx + b, where m is the slope and b is the y intercept. We dont know the y-intercept but we now the slope and a point so we can substitute these values in the equation and solve for b.

Solving for b we will end up with b = 11.

now we have the equation y= 2x + 11

we now that x = 4 , so we plug it in.

we will end up with y = 19.

Hope this helps

Final answer:

When the line with a slope of 2 that passes through (-3,5) reaches x = 4, the value of y is 19.

Explanation:

To find the value of y when the line passes through x = 4, we can use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. We know that the line passes through the point (-3, 5) and has a slope of 2. Plugging these values into the point-slope formula gives us:

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

y - 5 = 2(x + 3)

y - 5 = 2x + 6

y = 2x + 11

Now we can find the value of y when x = 4:

y = 2(4) + 11

y = 8 + 11

y = 19

Therefore, when the line passes through x = 4, the value of y is 19.

[tex]\frac{x+5}{6} -3=x[/tex]

Try to say it and write what you say, that helped me learn how to do this. I hope this helps.

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%.

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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