a Fair coin is tossed 3 times. What is the probability of getting at least one heads and at least one tails?​

Answer:

1,100 is your area

Step-by-step explanation:

First we cut the shape into three, two triangles and a square, the formula to find the area of a square is A=a^2 (a is the side)

A=25^2

A=625

now to find the triangles the formula to find the are we use the right angled triangle formula twice which is A=a*b/2

A=25*19/2

A=475/2

A=237.5

now add them all up

625+237.5+237.5=

1,100

ABCD area =

AB = 4√2

AX= 3 ft = Height

then Area is

AREA= AB• AD • Sin 30°

THEN ANSWER IS

AREA= 4√2• 3 = 12√2 ft2

. = 17 square foots

For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.

The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.

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Answer:

x= 2

z = 106

Step-by-step explanation:

By the definition of vertically opposite angles,

(10x + 54)° = 74° [Pair of opposite angles made by two intersecting lines]

10x = 74 - 54

10x = 20

x = 2

z° + 74° = 180° [Pair of supplementary angles]

z = 180 - 74

z = 106

False. Line charts are best suited for representing data that follows a sequential order, such as time series data. Nonsequential data is better represented by other types of charts, like scatter plots or bar graphs.

Line charts are graphical representations of data points connected by lines. They are commonly used to display trends over time or sequential data. For example, they are often used to show the change in stock prices over a period of time or the temperature variations throughout the day. This sequential order is the key feature of line charts.

However, for data that does not follow a sequential order, line charts may not be the best choice. Nonsequential data, such as categorical or unrelated data points, are better represented by other types of charts. Scatter plots, for instance, are useful for showing the relationship between two variables that are not necessarily ordered. Bar graphs can also be used to compare nonsequential data points in different categories.

In summary, line charts are not best suited for representing data that follows a nonsequential order. They are most effective when used to display data that has a clear sequential relationship, allowing for easy interpretation of trends and patterns.

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The population of monkeys will reach 18 monkeys in about 17.46 years.

The logistic growth model is a mathematical model used to describe the growth of populations or other systems that have a finite carrying capacity. Unlike exponential growth, which assumes an unlimited growth potential, logistic growth accounts for a maximum size or limit that the system can support.

We can use the logistic growth model to solve this problem:

dP/dt = rP(1 - P/K), where

P is the population of monkeys,

t is time in years,

r is the growth rate, and

K is the carrying capacity.

From the given information, we have P(0) = 2, P(5) = 9, and K = 25. We can use the initial and final populations to find the value of r:

P(0) = 2

P(5) = 9

K = 25

dP/dt = rP(1 - P/K)

Using separation of variables and integrating both sides, we get:

∫[P(0),P(t)] dP/[P(P-K)] = ∫[0,t] r dt

ln|P(t)/(P(t)-K)| - ln|P(0)/(P(0)-K)| = rt

ln|P(t)/(P(t)-25)| - ln|2/(-23)| = 5r

ln|P(t)/(P(t)-25)| + ln|23/2| = 5r

ln|23P(t)/(2P(t)-50)| = 5r

\(P(t)/(P(t)-25) = e^{(5r)}/23\)

\(P(t) = 25e^{(5r)}/(e^{(5r)}-23)\)

Using P(5) = 9, we can solve for r:

\(9 = 25e^{(5r)}/(e^{(5r)}-23)\)

\(9e^{(5r)-2325 = -239\)

\(e^{(5r)} = 3\)

5r = ln(3)

r = (1/5)*ln(3)

Now we can use the logistic growth model to find when the population reaches 18:

\(P(t) = 25e^{(rt)} /(e^{(rt)}-23)\)

\(18 = 25e^{[(1/5)*ln(3)*t]} / (e^{[(1/5)*ln(3)*t]}-23)\)

\(18(e^{[(1/5)*ln(3)*t]}-23) = 25e^{[(1/5)*ln(3)*t]}\)

\(18e^{[(1/5)*ln(3)*t]} - 414 = 25e^{[(1/5)*ln(3)*t]}\)

\(7e^{[(1/5)*ln(3)*t]} = 414\)

\(e^{[(1/5)*ln(3)*t]} = 414/7\)

\(ln(e^{[(1/5)*ln(3)*t]}) = ln(414/7)\)

(1/5)*ln(3)*t = ln(414/7)

t = (5/ln(3))*ln(414/7)

t ≈ 17.46 years

Therefore, the population of monkeys will reach 18 monkeys in about 17.46 years.

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Complete question:

Two monkeys are placed on an island. After 5 years, there are 8 monkeys, and the estimated carrying capacity is 25 monkeys. When does the population of monkeys reach 18 monkeys?

Answer:

help with what

Step-by-step explanation:

Answer:

10 : 3 , 1 : 3 , 12 : 1

Step-by-step explanation:

before simplifying the ratios both must be in the same units of measure.

(a)

1 litre = 1000 ml

2 litres : 600 ml

= 2000 ml : 600 ml ( divide both parts by 200 )

= 10 : 3

(b)

1 day = 24 hours

8 hr : 1 day

= 8 hr : 24 hr ( divide both parts by 8 )

= 1 : 3

(c)

1 Km = 1000 m

3 Km : 250 m

= 3000 m : 250 m ( divide both parts by 250 )

= 12 : 1

Answer:

it's only 2pi/B because the period of sin and cos is 2pi. If we were dealing with tan it'd be pi/B, since the period of tan is just pi.

Answer:

The cost of a gallon of milk changed 31%

Step-by-step explanation:

Percent Change

Is the difference between two values of the same variable in different times or conditions, expressed as a percentage of the original value.

The formula is:

\(\displaystyle Pc=\left |\frac{v1-v2}{v1} \right |\cdot 100\%\)

Where

v1 = original value

v2 = final value

The gallon of milk cost v1=$2.90 in 2002 and v2=$3.80 in 2018. The percent change is:

\(\displaystyle Pc=\left |\frac{2.90-3.80}{2.90} \right |\cdot 100\%\)

\(\displaystyle Pc=\left |\frac{-0.9}{2.90} \right |\cdot 100\%\)

Pc = 31%

The cost of a gallon of milk changed 31%

Answer: 25

Step-by-step explanation: Look for clues in this problem in order to solve it the easiest way possible. I saw that 39 on one side of the equation was only one less than 40 on the other side. I added on to 39 and subtracted one from 26 to balance both sides and got 25 as my answer. Both sides equal 65 so its true.

The number of points on circle or the value of 'n' is 9.

From the combination formula, C(n, r) = n!/(r!(n - r)!)

So here total number of points on circle is = n

The number of points needed to form a triangle is = 3.

So number of triangles whose vertices are among those n points is = C(n, 3)

The number of points needed to form a hexagon = 6

So number of hexagon whose vertices are among those n points is = C(n, 6)

According to given information this numbers are equal, so the equation best suited to this situation is,

C(n, 3) = C(n, 6)

n!/(3!(n - 3)!) = n!/(6!(n - 6)!)

[n(n - 1)(n - 2)]/3! = [n(n - 1)(n - 2)(n  -3)(n - 4)(n - 5)]/6!

(n - 3)(n - 4)(n - 5) = 6!/3!

(n - 3)(n - 4)(n - 5) = 6*5*4

We can see that both sides form AP. So comparing the both sides,

n - 3 = 6

n = 6 + 3 = 9

Again from n - 4 = 5

n = 5 + 4 = 9

Again from n - 5 = 4

n = 4 + 5 = 9

Hence the number of points is 9.

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To solve the triangle using the Law of Sines, we can use the following formula:

\(\(\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}\)\(\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}\)\)

Given that \(\(\angle A = 38^\circ\), \(\angle C = 73^\circ\), and \(b = 19\),\) we can substitute these values into the formula and solve for the remaining sides \(\(a\) and \(c\).\)

\(\(\frac{a}{\sin(38^\circ)} = \frac{19}{\sin(B)}\) (1)\)

\(\(\frac{c}{\sin(73^\circ)} = \frac{19}{\sin(B)}\) (2)\)

From equation (1), we can solve for \(\(\sin(B)\):\)

\(\(\sin(B) = \frac{19}{a} \cdot \sin(38^\circ)\)\)

Substituting this value into equation (2), we can solve for \(\(c\):\)

\(\(\frac{c}{\sin(73^\circ)} = \frac{19}{\frac{19}{a} \cdot \sin(38^\circ)}\)\)

Simplifying, we get:

\(\(c = a \cdot \frac{\sin(73^\circ)}{\sin(38^\circ)}\)\)

Now we have expressions for both \(\(a\) and \(c\).\)

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i dont know my friend so try asking someone better than cause i have no brain for this type of math

The customer purchased 30 rounds of golf. The customer purchased 24 rounds and played 24 × 11 = 264 holes of golf to get a total of 35 rounds played.

Given the Putt-Putt course offers a deal of purchasing 10 rounds of golf to get one round for free.The total number of rounds played is 35.The customer had purchased 10 rounds of golf and gets one round free, for 10 rounds, he plays 11 rounds.

To find out the number of rounds purchased, which is paid rounds, we can use the following equation:10n + 1 = 35where n represents the number of times the customer paid for 10 rounds of golf. Simplifying the above equation:10n = 35 - 110n = 24n = 24/10n = 2.4The customer purchased 2.4 times the 10 rounds of golf and played 11 rounds each time to get a total of 35 rounds played. So the number of rounds purchased would be:10 × 2.4 = 24 rounds.The customer purchased 24 rounds and played 24 × 11 = 264 holes of golf to get a total of 35 rounds played.

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Answer:

I went to a concert with my friends and every ticket costs $7.50 and I also had to pay a fee of $15.

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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It will take 5 minutes to print a batch of newspapers if 20 printers are used.

What is proportionality?

Proportionality is a mathematical relationship between two variables, where one variable is a constant multiple of the other. In other words, two quantities are proportional if they maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other quantity changes in the same proportion.

We are given that the time it takes to print a batch of newspapers, m, is inversely proportional to the number of printers used, n, and the equation of proportionality is:

m = k/n

where k is a constant of proportionality. We are also given that when k = 100, the equation is satisfied. So we can substitute k = 100 into the equation to get:

m = 100/n

To find the time it will take to print a batch of newspapers if 20 printers are used, we can substitute n = 20 into the equation:

m = 100/20 = 5

So it will take 5 minutes to print a batch of newspapers if 20 printers are used. Rounded to 1 decimal place, the answer is 5.0 minutes.

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The lower bound for the 99% confidence interval for the difference between clones and their original plants is -10.58 cm.

To calculate the confidence interval, we can use the formula:

\(CI = X - t * (s / \sqrt{n})\)

Where X is the sample mean difference (-5.2 cm), t is the critical t-value for a 99% confidence level with 14 degrees of freedom (since there are 15 pairs of plants and we are estimating the difference between the means), s is the sample standard deviation (6.7 cm), and n is the sample size (15 pairs).

Using a t-table or calculator, we find that the critical t-value is 2.977. Plugging in the values, we get:

\(CI = -5.2 - 2.977 * (6.7 / \sqrt{15}) = -10.58\)

Therefore, we can be 99% confident that the true mean difference between the clones and the original plants is at least -10.58 cm.

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Answer:

the number is 5

Step-by-step explanation:

the difference between any two consecutive numbers is just 1.

so, x + x+1 = 9

x = 4

the next number is 5

pls mark brainliest

Answer:

2

--

5

Step-by-step explanation:

Start by multiplying 2 and -4/5 as fractions

2 -4 -8

------ x ------ = -------

1 5 5

Then multiply 6 and 1/3 as fractions

6 1 6 2

------ x ------ = ------- = -----

1 3 3 1

Lastly,add the two results after converting 2/1 to 10/5 to use the Greatest Common Factor so you can add.

-8 10 2

------- + ------ = -------

5 5 5

The point-slope form of the equation of a line is given by: y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line. To find the slope of a line, we use the slope formula given by: m = (y2 - y1) / (x2 - x1)where (x1, y1) and (x2, y2) are two points on the line.

To find the equation of a line that passes through two given points, we will use the point-slope form of the equation of a line. The point-slope form of the equation of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line. To find the slope of a line, we use the slope formula given by:m = (y2 - y1) / (x2 - x1)where (x1, y1) and (x2, y2) are two points on the line. Now we can find the equation of the line that passes through the points (10,-6) and (6,6) using the following steps:

Step 1: Find the slope of the line.The slope of the line is given by: m = (y2 - y1) / (x2 - x1)

Where (x1, y1) = (10, -6) and (x2, y2) = (6, 6)m = (6 - (-6)) / (6 - 10)= 12 / (-4)= -3

Therefore, the slope of the line is -3.

Step 2: Choose one of the two points to use in the equation. `Since we have two points, we can use either of them to find the equation of the line. For simplicity, let's use (10, -6).

Step 3: Substitute the slope and the point into the point-slope form of the equation of a line and solve for y.y - y1 = m(x - x1)y - (-6) = -3(x - 10)y + 6 = -3x + 30y = -3x + 24Therefore, the equation of the line that passes through the points (10, -6) and (6, 6) is:y = -3x + 24

To find the equation of a line that passes through two given points, we can use the point-slope form of the equation of a line. The point-slope form of the equation of a line is given by:y - y1 = m(x - x1)where (x1, y1) is a point on the line, and m is the slope of the line. To find the slope of a line, we use the slope formula given by:m = (y2 - y1) / (x2 - x1)where (x1, y1) and (x2, y2) are two points on the line. Once we have found the slope of the line, we can choose one of the two points and substitute the slope and the point into the point-slope form of the equation of a line and solve for y. This will give us the equation of the line. In this problem, we were given the points (10, -6) and (6, 6) and asked to find the equation of the line that passes through them. Using the slope formula, we found that the slope of the line is -3. We then chose the point (10, -6) and substituted the slope and the point into the point-slope form of the equation of a line and solved for y. This gave us the equation of the line:y = -3x + 24.

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Answer:

in every question you should subtract the given value by 180

Basic fact:

angles on a straight line always add up to 180 degrees

Step-by-step explanation:

Answer:

62 grados x

Step-by-step explanation:

Answer:

because the first side equal for the second side this means that this triangle is isosceles

so 62+62=124

sum of the angles of any triangle =180

180°-124=56degree

Answer:

see explanation

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) = \(\sqrt{ab}\) , then

\(\sqrt{72}\)

= \(\sqrt{36(2)}\)

= \(\sqrt{36}\) × \(\sqrt{2}\)

= 6\(\sqrt{2}\)

\(\sqrt{77}\) is in simplest form, and cannot be simplified further

The number of salespeople Wheels needs is 6.

The number of salespeople Wheels needs is 6.

Wheels, Inc. wants to expand to the rest of the country and distribute its products through 500 bicycle shops.

The company's current sales reps visit the bicycle shops several times a year, often for several hours at a time.

They do not simply sell products but also manage relationships with bicycle shops to help them better meet consumers' needs.

The company owner must determine if it is more profitable to employ additional salespeople or hire sales agents.

Salespeople earn a base salary of $40,000 per year plus a 2% commission on all sales.

Sales agents, on the other hand, receive a 5% commission on all sales.

The number of sales calls that must be made per salesperson is 3 times a year. Sales reps will have around 750 hours per year to devote to customers.

Each sales call lasts roughly 1.5 hours. To find the number of salespeople Wheels needs, we'll use the following formula:

Annual hours available per salesperson \(= 750 hours × 2 = 1,500 hours\)

Number of sales calls required per year = 3 sales calls per year × 500 bike shops = 1,500 sales calls per yearTime required per sales call = 1.5 hours

Total time required for all sales calls \(= 1.5 hours × 1,500 sales calls = 2,250 hours\)

Total time available per salesperson = 1,500 hours

Total time required per salesperson = 2,250 hours

Number of salespeople required \(= Total time required / Total time available\)

Number of salespeople required \(= 2,250 hours / 1,500 hours\)

Number of salespeople required = 1.5 rounded up to the nearest whole number = 2

Therefore, the number of salespeople Wheels needs is 6.

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Answer:

A. 48.9'

C. 48.9663'