y greater than or equal to 3х + 4

We need to roll a die at least 3 times and a coin should be tossed at least 2 times.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given this, Becca repeatedly tosses a fair coin until she gets a head.

The probability of getting a head P(H) is = 1/2.

The probability of getting a number 3 or higher is,

P(3) + P(4) + P(5) + P(6).

= 1/6 + 1/6 + 1/6 + 1/6.

= 4/6.

= 2/3.

So, to get a number 3 or higher we need at least 3 rolls, and to get a head we need at least 2 tosses.

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The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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The values of \(w\) that make the inequality \(-w\ge7\) true are

\(\{... ,-11,-10,-9,-8,-7\}\). An equivalent inequality, in terms of \(w\), is \(w\le-7\)

To get the values that make the inequality true, we have to solve the inequality for \(w\). This will also give an equivalent inequality in terms of \(w\)

\(-w\ge7\\\\\implies \dfrac{-w}{-1}\le\dfrac{7}{-1}\\\\w\le-7\)

the solution set is the set of values \(\{... ,-11,-10,-9,-8,-7\}\). In other words, \(w\) can take up values less or equal to \(-7\) to make the inequality  \(-w\ge7\) true

Also, the inequality equivalent to \(-w\ge7\) is \(w\le-7\)

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Answer:

5

Step-by-step explanation:

A proportional relation has the following equation:

y = kx

where k = constant of proportionality.

Plug in any given ordered pair into x and y and solve for k.

Let's us (7, 35).

35 = k * 7

k = 35/7 = 5

Answer: The constant of proportionality is 5.

Answer:

2.5 hours

Step-by-step explanation:

Answer:

Volume of a cone = 1/3•pi r•r•h

V = 1/3•pi•2•2•8

V = 33.49333333333333

V = 33.5 inches squared

I hope this helps! Have a good day! :)

The volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.

Suppose that the radius of considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

\(V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3\)

Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The missing image for this problem is attached below.

For this case, the radius is of 2 inches, and height is of 8 inches, thus, the volume of the considered cone is:

\(V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3 \approx \dfrac{1}{3} \times 3.14 \times (2)^2 \times 8 \approx 33.51 \approx 33.5 \: \rm in^3\)

(rounded to the nearest tenth, which is first place to right of the decimal point.

Thus, the volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.

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To obtain a Maclaurin series for the given function f(x) = sin x, we can use the known Maclaurin series for sin x, which is:
sin x = x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...

Multiplying this series by x^3 gives:
sin x 3 = x^3 - (x^6)/3! + (x^8)/5! - (x^10)/7! + ...
Therefore, the Maclaurin series for f(x) = sin x 3 is:
f(x) = x^3 - (x^6)/3! + (x^8)/5! - (x^10)/7! + ...
To find the associated radius of convergence r, we can use the ratio test. The nth term of the series is given by:
a_n = (-1)^(n-1) * (x^3)^(2n-1) / (2n-1)!
Using the ratio test, we have:
lim |a_(n+1) / a_n| = lim |(-1)^n+1 * (x^3)^(2n+1) / (2n+1)!| / |(-1)^n * (x^3)^(2n-1) / (2n-1)!|
= lim |(-1) * x^6 / ((2n+1)(2n))| = 0
Since the limit is less than 1 for all values of x, the series converges for all x. Therefore, the radius of convergence is infinity, which is consistent with the fact that sin x has an infinite radius of convergence.

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The number of revolutions will the wheels need to make to travel 100 feet will be 15.

Given that:

Diameter, d = 26 inches

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The number of revolutions will the wheels need to make to travel 100 feet will be given as,

100 = n x 3.14 x (26 / 12)

100 = 6.803 n

n = 14.6986

n ≈ 15 revolution

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Answer:

60 square feet

Step-by-step explanation:

area= length*width

a=5*12

a=60

Answer: 60 ft²

Step-by-step explanation: To find the area of the rectangular bedroom wall, we use the formula for the area of a rectangle, A = lw.

Since the length of the rectangle is 12 feet and the width of the rectangle

is 5 feet, we plug this information into the formula for length and width

and we have (12 ft)(5 ft) which simplifies to 60 ft².

So the area of the rectangular bedroom wall is 60 ft².

Answer:

Step-by-step explanation:         The four numbers:  - 34, -0.4, 0.4, 3.4

so if you look at it it  The answer is -34

Answer:

-34

Step-by-step explanation:

this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers

Answer:

80

Step-by-step explanation:

15/100x=12

3/20x=12

x=12*20/3=80

if my answer helped please mark as brainliest.

Answer:

if 15% of all parents polled volunteered, then 80 parents were asked to volunteer.

Step-by-step explanation:

Okay so basically 12 is 15% of a number therefore 12/? = 15%/100?

So we multiply 12 x 100= 1200

Then divide 1200 ÷ 15 to get your answer.

1200 ÷ 15 = 80

The  entire area under the standard normal distribution curve is always positive even if the z value is negative.

The normal distribution, it's useful to think of the standard deviation as being steps away from the mean. One step to the right or one step to the left is considered one standard deviation away from the mean. Two steps to the left or two steps to the right are considered two standard deviations away from the mean. Likewise, three steps to the left or three steps to the right are considered three standard deviations from the mean.

The probability of the outcome of an experiment is never negative, although a quasi probability distribution allows a negative probability, or quasi probability for some events. These distributions may apply to unobservable events or conditional probabilities.

Therefore,

The value can be negative can be any positive value can be any positive value larger than 1.

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Answer:

4.35 pounds each gets

Step-by-step explanation:

if you divide 17.4 by 4 you get 4.35 pound per each of the 4 people get

Answer:

y=8x+6

Step-by-step explanation:

Given that the Lorenz curve for a particular state is `y = 0.0003x^3 - 0.0126x^2 + 0.8357x`. The Lorenz curve represents the cumulative income distribution in the economy, while the line of perfect equality is a straight line y=x representing the income distribution if income were distributed equally.

The Gini coefficient (G) is half the relative mean absolute difference, and it can be calculated from the Lorenz curve. Thus, the formula for the Gini coefficient is `G = A / (A + B)`Where A represents the area between the line of equality and the Lorenz curve, and B represents the area below the Lorenz curve.

The Gini coefficient can be found as follows:To find A, subtract the area under the Lorenz curve from the area under the line of perfect equality within the limits of 0 and 1.  

We know that the line of perfect equality is y=x.Area under Lorenz curve from 0 to 1 = ∫[0,1] (0.0003x^3 - 0.0126x^2 + 0.8357x) dx= [0.000075x^4 - 0.0042x^3 + 0.41785x^2] from 0 to 1= (0.000075(1)^4 - 0.0042(1)^3 + 0.41785(1)^2) - (0.000075(0)^4 - 0.0042(0)^3 + 0.41785(0)^2)= 0.40865Area under line of perfect equality from 0 to 1 = (1/2)(1)(1)= 0.5Therefore, A = 0.5 - 0.40865= 0.09135To find B, find the area under the Lorenz curve from 0 to 1.

Area under Lorenz curve from 0 to 1 =  ∫[0,1] (0.0003x^3 - 0.0126x^2 + 0.8357x) dx= [0.000075x^4 - 0.0042x^3 + 0.41785x^2] from 0 to 1= 0.3255Therefore, the Gini coefficient, G= A / (A + B)= 0.09135 / (0.09135 + 0.3255)= 0.219Answer: 0.219

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Answer:

It is an isosceles triangle

Step-by-step explanation:

because there are 2 straight lines

The term for a procedure or set of rules to solve a problem as an alternative to mathematical optimization is called a heuristic.

A heuristic is a procedure or set of rules to solve a problem as an alternative to mathematical optimization.

A heuristic is an approach to problem-solving that uses a practical and efficient method to make decisions, which often leads to a satisfactory result but does not guarantee the best solution.

In essence, a heuristic is an algorithm that provides a practical solution for a problem that is difficult to solve with precise mathematical optimization.

It's a method for finding a solution that works, even if it isn't the best possible one.

its a Heuristics are often used in situations where finding the exact optimal solution would require excessive computational resources or time. Instead, heuristics provide approximate solutions that are often "good enough" for practical purposes.

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Using the law of cosines, it is found that the length of side AB is of AB = 13.

The law of cosines states that we can find the angle C of a triangle as follows:

\(c^2 = a^2 + b^2 - 2ab\cos{C}\)

in which:

For this problem, the parameters are:

C = 120, a = 8, b = 7.

Hence:

\(c^2 = a^2 + b^2 - 2ab\cos{C}\)

\(c^2 = 8^2 + 7^2 - 2(8)(7)\cos{120^\circ}\)

\(c^2 = 169\)

\(c = \sqrt{169}\)

c = 13.

Hence AB = 13.

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Answer:

yes.

Step-by-step explanation:

The eqation of the line is y=1/2x+3 so when we plug in x as 20 y is equal to 13

Answer:

Yes it is on the line becuase if you find the slope of the line which is 1/2. We can just use rise over run from there. So we know 1 is y and 2 is x Becuase slope is written in y/x. And we can fins slope by just calculating the rise over run or suing the formula y2-y1/x2-x1. So the last pont shown on the line is (10,8) so we can add 1 to the y or in this case 8 and add 2 to the x or in this case 10. You’ll get (12,9). We know this works becuase if you find the slope of (12,9) and (10, 8), you’ll get 1/2 again which is the same slope so we know it’s right. Now we just add using the same slope to the now new point. We add 1 to 9 and add 2 to 12. (14,10). Still, if you find the slope, it’ll still be 1/2. Now keep repeating that and you’ll get (20, 13) eventually. And we can check by calculating the slope. (20,13) and (10,8), you could use any point on the coordinate plane/ and you’ll get 1/2. A easier way could just be calculating the slope first and you’ll get 1/2 from any two points and then use any two points to calculate the slope for (20,13). It’ll still be the same thing.

Answer:

5n+32a=5

Step-by-step explanation:

.

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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Answer: Oui, vous pouvez le factoriser parfaitement

Step-by-step explanation:

x^2 + 8x + 64

ajouter et soustraire (b/2a)^2

x^2+8x+64+16-16

factoriser le trinôme carré parfait : x^2 + 8x + 16

(x+4)^2 + 64 - 16

réponse finale:

48 + (x+4)^2

Answer:

38 muffins were sold by noon.

Answer:

38 muffins were sold

Step-by-step explanation:

percents can always be turned into fractions so 95% is actually just 0.95, you multiply that to 40 and you get 38, meaning 38 muffins were sold

For solving this question, you need to apply trigonometric ratios and/or Pythagoras Theorem for each of the right triangles.

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  In this triangle from the trigonometric ratios or the Pythagoras Theorem (\(hypotenuse^2=(side_1)^2 + (side_2)^2\)), it is possible finding angles or sides.

The main trigonometric ratios are presented below.

\(sin(x)=\frac{opposite\,side}{hypotenuse} \\ \\ cos(x)=\frac{adjacent\,side}{hypotenuse}\\ \\ tan(x)=\frac{sin(x)}{cos(x)}= \frac{opposite\,side}{hypotenuse}* \frac{hypotenuse}{adjacent\,side}= \frac{opposite\,side}{adjacent\,side}\)

                                     \(hypotenuse^2=(side_1)^2 + (side_2)^2\\ \\ 29^2=20^2+s^2\\ \\ 841=400+s^2\\ \\ s^2=441\\ \\ s=\sqrt{441}=21\)

For angle D you will find:

                        \(sin(D)=\frac{opposite\,side}{hypotenuse}=\frac{20}{29} \\ \\ cos(D)=\frac{adjacent\,side}{hypotenuse}=\frac{21}{29} \\ \\ tan(D)=\frac{sin(D)}{cos(D)}= \frac{opposite\,side}{adjacent\,side}=\frac{20}{21}\)

For angle E you will find:

                       \(sin(E)=\frac{opposite\,side}{hypotenuse}=\frac{21}{29} \\ \\ cos(E)=\frac{adjacent\,side}{hypotenuse}=\frac{20}{29} \\ \\ tan(E)=\frac{sin(E)}{cos(E)}= \frac{opposite\,side}{adjacent\,side}=\frac{21}{20}\)

The question gives an angle (62°) and the adjacent side (25) from the angle 62° of the right triangle. Therefore, you can find x from the trigonometric ratio of tan (62°):

                           \(tan(62^{\circ \:})= \frac{opposite\,side}{adjacent\,side}=\frac{x}{25}\\ \\ \tan \left(62^{\circ \:}\right)=1.881 \\ \\ Then,\\ \\ 1.881=\frac{x}{25} \\ \\ x=25*1.881=47.025\\ \\ x=47.0\)

The question gives an angle (26°) and the opposite side (11) from the angle 26° of the right triangle. Therefore, you can find x from the trigonometric ratio of sin (26°):

                          \(sin(26^{\circ \:})=\frac{opposite\,side}{hypotenuse}=\frac{11}{x} \\ \\ sin(26^{\circ \:})=0.438\\ \\ Then,\\ \\ 0.438=\frac{11}{x} \\ \\ 0.438x=11\\ \\ x=\frac{11}{0.438} \\ \\ x=25.1\)

The question gives an angle (48°) and the hypotenuse (32) of the right triangle. Therefore, you can find x from the trigonometric ratio of sin (48°):

                        \(sin(48^{\circ \:})=\frac{opposite\,side}{hypotenuse}=\frac{x}{32} \\ \\ sin(48^{\circ \:})=0.743\\ \\ Then,\\ \\ 0.743=\frac{x}{32} \\ \\ x=32*0.743\\ \\ x=23.8\)

The question gives an angle (12°) and the adjacent side (29) from the angle 12° of the right triangle. Therefore, you can find x from the trigonometric ratio of cos (12°):

                           \(cos(12^{\circ \:})=\frac{adjacent\,side}{hypotenuse}=\frac{29}{x} \\ \\ cos(12^{\circ \:})=0.978\\ \\ Then,\\ \\ 0.978=\frac{29}{x} \\ \\ 0.978x=29\\ \\ x=\frac{29}{0.978} \\ \\ x=29.6\)

The question gives the adjacent side (14) from the angle x and the hypotenuse (15) of the right triangle. Therefore, you can find x from the trigonometric ratio of cos(x) :

                        \(cos(x)=\frac{adjacent\,side}{hypotenuse}=\frac{14}{15} \\ \\ cos(x)=0.933\)

After that, you should calculate the arccos(x).

                      \(\arccos \left(\frac{14}{15}\right)=21.0^{\circ \:}\\ \\ Then,\\ \\ x=21.0^{\circ \:}\)

The question gives the adjacent side (23) from angle x and the opposite side (19) from angle x of the right triangle. Therefore, you can find x from the trigonometric ratio of tan (x) :

                        \(tan(x)= \frac{opposite\,side}{adjacent\,side}=\frac{19}{23}\\ \\ \tan \left(x}\right)=0.826\)

After that, you should calculate the arctan(x).

                      \(\arctan \left(\frac{19}{23}\right)=39.6^{\circ \:}\\ \\ Then,\\ \\ x=39.6^{\circ \:}\)

The question gives the adjacent side (9) from angle x and the hypotenuse (17) of the right triangle. Therefore, you can find x from the trigonometric ratio of cos(x) :

                        \(cos(x)=\frac{adjacent\,side}{hypotenuse}=\frac{9}{17} \\ \\ cos(x)=0.529\)

After that, you should calculate the arccos(x).

                      \(\arccos \left(\frac{9}{17}\right)=58.0^{\circ \:}\\ \\ Then,\\ \\ x=58.0^{\circ \:}\)

The question gives the opposite side (43) from angle x and the hypotenuse (45) of the right triangle. Therefore, you can find x from the trigonometric ratio of sin(x) :

                        \(sin(x)=\frac{opposite\,side}{hypotenuse}=\frac{43}{45} \\ \\ sin(x)=0.956\)

After that, you should calculate the arcsin(x).

                      \(\arcsin \left(\frac{43}{45}\right)=72.9^{\circ \:}\\ \\ Then,\\ \\ x=72.9^{\circ \:}\)

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Answer:

D)

BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°

Step-by-step explanation:

15²-12² = 9²

BC = 9

sin B = 12/15 = 0.8

∠B = 53.1°

The solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

The triangle ABC is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:

H² = P² + B²

The length BC will be calculated as below:-

15²-12² = 9²

BC = 9

The angle B will be calculated as below:-

sin B = 12/15 = 0.8

∠B = 53.1°

Therefore, the solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.

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The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.

What is a unit?

Units are the instruments used to measure and compare various things. When all measuring units are the same, comparison is simple. Various units can be categorised based on their intended usage. A couple of the units are classed as follows:

The seven SI basic units (The International System of Units (SI), sometimes known as the metric system, is the international measurement standard) are as follows:

Length - meter (m)

Time - second (s)

Amount of substance - mole (mole)

Electric current - ampere (A)

Temperature - kelvin (K)

Luminous intensity - candela (cd)

Mass - kilogram (kg)

Now,

As we have seen in a ruler from any two numbers 1 and 2 or 4 and 5

there are always 10 vertical lines which represents a millimeter

and 10 lines means 10 millimeter.

hence,

          The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.

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