17.)
18.)
Assume that when adults with smartphones are randomly selected, 59% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that at least 4 of them use

yes it is uses in1979 there ie big tsunami

Answer:

the American Embassy in Tehran was overrun and its employees taken captive.

Step-by-step explanation:

Answer: B / 2,6,10,14,18

Step-by-step explanation:

you were given the equation next input 1 for n.

Solve and a = 2

Then you input 2 for n. Solve and you get a =6.

Do  this up until you get to 5.

Answer:

You should ALWAYS do everything by the same value for using the tables Step-by-step explanation:

if one side gets multiplied so should the other, so let's say you had 2:4 if you are multiplying the 4 by 3, you should also multiply the 2 by 3.

Comparing ratios:

In order to compare a ratio you must have a number that is constant, basically in other words a common number. A number that almost is always the multiplied, or divided by the same amount.

Please. give brainliest I did my best.

The root of the function \(\(f(x) = 5\cos(x) - \sqrt{x^2 + 1} + 2^{x-1}\)\) lies within the interval \(\([-1, 0]\)\).

To find the interval where the root of the given function lies, we need to analyze the behavior of the function within certain intervals. Let's consider the interval  \(\([-1, 0]\)\).. For \(\(x = -1\)\), we have \(\(f(-1) = 5\cos(-1) - \sqrt{(-1)^2 + 1} + 2^{-2}\)\). Since \(\(\cos(-1)\)\) is positive and the other terms are also positive, the value of \(\(f(-1)\)\) is positive.

Now, for \(\(x = 0\)\), we have \(\(f(0) = 5\cos(0) - \sqrt{0^2 + 1} + 2^{-1}\)\). Since \(\(\cos(0)\)\) is positive and the other terms are positive, the value of \(\(f(0)\)\) is positive.

As the function is continuous, and it changes sign from positive to negative within the interval  \(\([-1, 0]\)\) (as \(\(f(-1)\)\) and \(\(f(0)\)\) have different signs), by the Intermediate Value Theorem, there exists at least one root of the function within this interval. Therefore, we can conclude that the root of \(\(f(x)\)\) lies within the interval  \(\([-1, 0]\)\).

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Option (c) 26.7% of the global oceans are Marine Protected Areas (MPAs). Marine Protected Areas (MPAs) are designated areas in the oceans that are set aside for conservation and management purposes.

They are intended to protect and preserve marine ecosystems, biodiversity, and various species. MPAs can have different levels of restrictions and regulations, depending on their specific objectives and conservation goals.

As of the current knowledge cutoff in September 2021, approximately 26.7% of the global oceans are designated as Marine Protected Areas. This means that a significant portion of the world's oceans has some form of protection and management in place to safeguard marine life and habitats. The establishment and expansion of MPAs have been driven by international agreements and initiatives, as well as national efforts by individual countries to conserve marine resources and promote sustainable practices.

It is worth noting that the percentage of MPAs in the global oceans may change over time as new areas are designated or existing MPAs are expanded. Therefore, it is important to refer to the most up-to-date data and reports from reputable sources to get the most accurate and current information on the extent of Marine Protected Areas worldwide.

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The value of the variables in finding the value of P(8) using synthetic substitution given P(x)=-2x³ - 8x + 6, is -326.  

In order to find the value of P(8) using synthetic substitution given P(x) = -2x³ - 8x + 6, we first need to set up the synthetic division table and then perform the steps accordingly. Synthetic substitution is a method used to evaluate a polynomial for a specific value of x. It is an efficient method of polynomial long division that is used to divide a polynomial by a binomial of the form (x - a), where a is a constant.The synthetic division table looks like this: 8 | -2 0 -8 6 | Divide the first coefficient of P(x) by the given value, which is 8, and write the result in the second row of the table.

-2| 8| -16 Multiply the result you just obtained by the value you divided by (8 in this case) and write it below the second coefficient of P(x). -2| 8| -16| 96 Add the second coefficient of P(x) to the result you just obtained and write the result in the third row of the table. -2| 8| -16| 96| -174 Multiply the result you just obtained by the value you divided by (8) and write it below the third coefficient of P(x). -2| 8| -16| 96| -174| 136 Add the third coefficient of P(x) to the result you just obtained and write the result in the fourth row of the table. -2| 8| -16| 96| -174| 136| -326 The value of P(8) is the value in the last row of the table.  

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The sample size, n is 9 and the sample mean, m is 41.33.

The exam has possible points and the scores for the students in the third classroom are as follows: 30 48 44 32 44 44 32 48 50.

We are asked to determine the sample size(n) and sample mean(m).

Sample size refers to the number of observations included in a study. In this question, the number of observations is equal to the number of scores in the third classroom. Hence, the sample size(n) is equal to n.

Now, the formula of the sample mean(m) is given as  

                m = Sum of all observations/Total Number of observations

          m =  30 + 48 + 44 + 32 + 44 + 44 + 32 + 48 + 50/9

          m = 372/9

          m = 41.33

Hence, the sample mean(m) of the scores for the students in the third classroom is 41.33.

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67.3% of the data values are less than 75.

Data is a set of values or facts that is used as a basis for reasoning, discussion, or calculation. Data can be numerical, such as measurements, or it can be non-numerical, such as words or images

The box-and-whisker plot is a visual representation of a data set that displays the median, minimum, maximum, first quartile, and third quartile of the data set. The plot below displays the data set with the first quartile being 40 and the third quartile being 92. This means that the range of the data set is 40-92. The value of 75 falls within this range, so 25% of the data values are less than 75. This can be calculated by taking 75-40, which is 35, and dividing it by the range of the data set (92-40 = 52). This gives us 0.673, which when multiplied by 100 gives us a percentage of 67.3%. Therefore, 67.3% of the data values are less than 75.

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Answer:

Step-by-step explanation:

Let the points be A and B

A ( 3 , 7 ) --------> (x1 , y1 )

B ( 2 , -1 ) --------> ( x2 , y2 )

Finding the midpoint:

\(( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)

\( = ( \frac{3 + 2}{2} , \: \frac{7 + ( - 1)}{2} )\)

\( = ( \frac{5}{2} , \: \frac{7 - 1}{2} )\)

\( = ( \frac{5}{2} ,\: \frac{6}{2} )\)

\( = (2.5 ,\: 3)\)

Hope this helps...

Good luck on your assignment ....

Answer:

(2,-1)

Step-by-step explanation:

Welol to find the line of (3,7) and (2,-1) we need to use the following formula,

\(\frac{y^2-y^1}{x^2-x^1}\)

So -1 is y2 7 is y1 so -1 - 7 = -8

2-3 = -1

Hence, the slope of the line is 8.

And graphing more points on the graph using the slope we can see the y intercept is -17.

So the equation is y = 8x - 17

And the mid point is at (2, -1)

Answer:

Pentagon: 6.9 in^2

Hexagon: 10.4 in^2

- to the nearest tenth.

Step-by-step explanation:

I am assuming that the pentagon and hexagon are regular.

Area of the pentagon :

Perimeter P = 5 * 2 = 10 inches.

Area = 1/2 * a * P      where a = the apothem

Area = 1/2 * 1.38 * 10

= 6.9 in^2.

Area of the hexagon :

Perimeter P = 6 * 2 = 12 inches.

Area = 1/2 * a * P      where a = the apothem

Area = 1/2 * 1.73 * 12

= 10.38 in^2.

Answer:

The answer is C I know that is right

The mass of the decoration is 200 kg and for each passenger car is 550 kg

From the question, we have the following parameters that can be used in our computation:

These can be represented as

(6, 3500) and (4, 2400)

The slope of the above points represent the mass of each passenger car

This is calculated as

Slope = Difference in mass/Difference in number of cars

So, we have

Slope = (3500 - 2400)/(6 - 4)

Evaluate

Slope = 550

When there are no passenger cars in the train, we have

(0, Mass of decoration)

Using the slope formula, we have

Slope = (Mass of decoration - 3500)/(0 - 6)

So, we have

Slope = (Mass of decoration - 3500)/(-6)

This gives

(Mass of decoration - 3500)/(-6) = 550

Cross multiply

Mass of decoration - 3500 = -3300

Add 3500 to both sides

Mass of decoration = 200

Hence, the mass of decoration is 200 kg

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Answer:

Caterina pays $24.08

Step-by-step explanation:

60.20/5=12.04

12.04x2=24.08

Answer:

24.08

Step-by-step explanation:

first you divide 60.20 to 5 which is 12.04 then you multiply that by 2 which is 24.08

Answer:

bruh

Step-by-step explanation:

Therefore, After 20 minutes, there are approximately 11.9 kg (rounded to one decimal place) of salt in the tank.

To solve this problem, we need to consider the rate of change of the amount of salt in the tank over time.

(a) Let's denote the amount of salt in the tank after t minutes as y (in kg). We can set up a differential equation to represent the rate of change of salt:

dy/dt = (rate of salt in) - (rate of salt out)

The rate of salt in is given by the concentration of salt in the incoming water (0 kg/L) multiplied by the rate at which water enters the tank (90 L/min). Therefore, the rate of salt in is 0 kg/L * 90 L/min = 0 kg/min.

The rate of salt out is given by the concentration of salt in the tank (y kg/9000 L) multiplied by the rate at which water leaves the tank (90 L/min). Therefore, the rate of salt out is (y/9000) kg/min.

Setting up the differential equation:

dy/dt = 0 - (y/9000)

dy/dt + (1/9000)y = 0

This is a first-order linear homogeneous differential equation. We can solve it by separation of variables:

dy/y = -(1/9000)dt

Integrating both sides:

ln|y| = -(1/9000)t + C

Solving for y:

y = Ce^(-t/9000)

To find the particular solution, we need an initial condition. We know that at t = 0, y = 12 kg (the initial amount of salt in the tank). Substituting these values into the equation:

12 = Ce^(0/9000)

12 = Ce^0

12 = C

Therefore, the particular solution is:

y = 12e^(-t/9000)

(b) To find the amount of salt in the tank after 20 minutes, we substitute t = 20 into the particular solution:

y = 12e^(-20/9000)

y ≈ 11.8767 kg (rounded to one decimal place)

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Answer:

X = -4Y/9 + 32/3

Step-by-step explanation:

you can solve for X by simplifying both sides of the equation then isolating the variable

The value of the given equation y = -9/4(x - 8) + 6 for the x will be x = -(4/9)y + 96/9

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

Given the equation,

y = -9/4(x - 8) + 6

By taking LCM in right-hand side

y = [-9(x - 8) + 24]/4

Cross multiply

4y = -9(x - 8) + 24

Interchange

9(x - 8) = 24 - 4y

9x - 72 = 24 - 4y

x = (4/9)y + 96/9

Hence "The value of the given equation y = -9/4(x - 8) + 6 for the x will be x = -(4/9)y + 96/9".

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Answer:

y=1/3x-3

Step-by-step explanation:

Answer:

a) 3/5, 60%

b) 1/15, 0.07

c) 9:1, The ratio means that Jack had spent 9 times more money on shoes than on music, 9/1

Step-by-step explanation:

a) The ratio would be 45:75, simplifying that would be 3/5. Now,  3 divided by 5 is .6, which would be 60%.

b) This ratio would be 5:75, simplifying that would be 1/15. 1 divided by 15 is 0.0666666. Rounding it to the nearest hundreth would get you 0.07

c) The ratio of shoes money and music money would be 9:1. You can find this by making the denominators of each of the fractions the same, so 3/5 multiplied by 3 gets you 9/15. Now, you can easily compare them.

Answer:

copy the first fraction, turn the division sign to a multiplication sign and flip the second fraction

Step-by-step explanation:

ex: 2/5 divided by 1/4

turn it to- 2/5 x 4/1

Answer:

Step-by-step explanation:

find reciprocal of second fraction then multiply the fraction after you find the reciprocal

The value οf the annuity after 120 depοsits is $1,059,780.64.

Cοmpοund interest is interest that is earned nοt οnly οn the principal amοunt but alsο οn any interest earned οn that principal amοunt οver time.

Tο determine the value οf the annuity, we can use the fοrmula fοr the future value οf an annuity:

\(A = P \times \dfrac{(1 + r/n)^{(nt)} - 1)}{(r/n)}\)

where A is the future value οf the annuity, P is the mοnthly depοsit amοunt, r is the annual interest rate, n is the number οf times the interest is cοmpοunded per year, and t is the tοtal number οf depοsits.

In this case, P = $100, n = 2 (since interest is cοmpοunded semi-annually), t = 120, and r is the interest rate per year, sο we need tο find r. Tο dο this, we can use the fοrmula:

\(A = P\times (1 + r/n)^{(nt)\)

where A is the future value of the annuity after t depοsits.

Substituting the given vaIues, we have:

\(\$100 \times (1 + r/2)^{(2\cdot120)\) = A

SimpIifying, we get:

\((1 + r/2)^{240} = A/100\)

Taking the natural lοgarithm of both sides, we get:

\(ln(1 + r/2)^{240} = ln(A/100)\)

240*ln(1 + r/2) = ln(A/100)

ln(1 + r/2) = ln(A/100)/240

Solving for r, we get:

\($r = 2 \times \frac{e^{(ln(A/100)}}{240) - 1}\)

Substituting the given vaIues, we get:

r = 0.4902 or 49.02%

Now we can plug in all the values into the original fοrmula for the future value οf the annuity:

\(A = $100\times \dfrac{(1 + 0.4902/2)^{(2\cdot 120) - 1)}}{0.4902/2}\)

SimpIifying, we get:

A = $1,059,780.64

Therefοre, the value οf the annuity after 120 depοsits is $1,059,780.64.

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Answer:

3.625 gpm

Step-by-step explanation:

By applying the Linear Pair Postulate to the two (2) alternate interior angles, the measure of ∠6 is equal to 61°.

In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

By applying the Linear Pair Postulate to the two (2) alternate interior angles, we have the following:

119° + m∠6 = 180°

m∠6 = 180° - 119°

m∠6 = 61°

In conclusion, we can logically deduce that the measure of m∠6 is equal to 61° based on the parallel lines that are cut through by a transversal.

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Answer:

10,000

Step-by-step explanation:

1 dekagram = 1000 centigrams

10 dekagrams = 10 x 1000 = 10,000 centigrams

So, the answer is 10,000

The volume of the solid under the hyperbolic paraboloid and above the rectangle r is 4 cubic units. The solid lies under the paraboloid and above R, which intersects the xy-plane once.

The given hyperbolic paraboloid is \(z = (3y^2 − x^2)/3\). We are supposed to find the volume of the solid that lies under the hyperbolic paraboloid and above the rectangle r = [−1, 1] × [1, 3].

In order to find the volume, we are to use the following formula. V = ∬Rf(x,y)dA

Here, R represents the region under the curve and f(x, y) represents the height of each point.The limits of integration will be:    The integral of x will go from -1 to 1.    The integral of y will go from 1 to 3.The above region will be integrated in the form of double integrals. In this case, we take the volume of the solid to be the double integral of z over the given rectangle of integration.

\(∬R (3y^2 − x^2)/3 dA\)

= \(∫1³ ∫-1¹ (3y^2 − x^2)/3 dxdy\)

= 4

Now, it is confirmed that the volume of the solid is 4 cubic units.

Note:  The above rectangular region, R, is a subset of the xy-plane, i.e., R ⊂ xy-plane. Since the given paraboloid intersects the xy-plane only once, and since R lies entirely above the plane, the solid that lies under the paraboloid and above R has finite volume.

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Paired sample data may include one or more​ influential points, which are points that strongly affect the graph of the regression line.

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Answer:y=-x

Step-by-step explanation:

The partial fraction decomposition is:

Y(s) = 4/(s + 1)

1. Take the Laplace transform of both sides of the differential equation.

2. Solve for the Laplace transform of the unknown function.

3. Find the inverse Laplace transform to obtain the solution in the time domain.

Step 1: Taking the Laplace transform of both sides

Applying the Laplace transform to the differential equation, we have:

L[y'] + L[y] = L[t - 1]

Using the linearity property of the Laplace transform, we get:

sY(s) - y(0) + Y(s) = 1/s^2 - 1/s

where Y(s) represents the Laplace transform of y(t), and y(0) is the initial condition y(0) = 3.

Step 2: Solve for the Laplace transform of the unknown function

Combining like terms and isolating Y(s), we have:

Y(s)(s + 1) = 1/s^2 - 1/s + y(0)

Y(s)(s + 1) = (1 - s + s^2)/s^2 + 3

Now, let's simplify the right side of the equation:

Y(s)(s + 1) = (1 - s + s^2 + 3s^2)/s^2

Y(s)(s + 1) = (4s^2 - s + 1)/s^2

Dividing both sides by (s + 1), we get:

Y(s) = (4s^2 - s + 1)/(s^2(s + 1)

Step 3: Find the inverse Laplace transform

To simplify the expression further, we need to decompose the right side using partial fractions. Let's find the partial fraction decomposition:

Y(s) = (4s^2 - s + 1)/(s^2(s + 1)

To find the partial fractions, we write Y(s) as:

Y(s) = A/s + B/s^2 + C/(s + 1)

Multiplying through by s^2(s + 1), we have:

4s^2 - s + 1 = A(s^2 + s) + B(s + 1) + Cs^2

Expanding and equating coefficients, we get the following system of equations:

4s^2 - s + 1 = As^3 + As^2 + Bs^2 + B + Cs^2

4s^2 - s + 1 = As^3 + (A + B + C)s^2 + B + 1

Equating coefficients for each power of s:

s^3 coefficient: A = 0 (since the left side has no s^3 term)

s^2 coefficient: A + B + C = 4

s coefficient: 0 = -1

s^0 coefficient: B + 1 = 1

From the second and fourth equations, we find B = 0 and C = 4. Plugging these values back into the equation for A + B + C = 4, we find A = 0.

Therefore, the partial fraction decomposition is:

Y(s) = 4/(s + 1)

Now, we can find the inverse Laplace transform. Using a table of Laplace transforms, we find that:

L^(-1){Y(s)} = L^(-1){4/(s + 1)} = 4e^(-t)

Hence, the solution to the initial-value problem is:

y(t) = 4e^(-t)

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Answer:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Step-by-step explanation:

Let the rate (speed) of the plane in still air = u km/h

Let the rate (speed) of the wind = v km/h

Formula for speed is:

\(Speed = \dfrac{Distance}{Time}\)

Given that against the wind, airplane travels 7520 km in 8 hours.

The speed against the wind will be slower so,

Against the wind, speed = (u -v ) km/h

Using above formula:

\((u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)\)

Given that with the wind, airplane travels 6500 km in 5 hours.

The speed with the wind will be faster so,

With the wind, speed = (u +v ) km/h

Using above formula:

\((u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)\)

Adding (1) and (2) to solve for u and v:

\(2u = 2240\\\Rightarrow u = 1120\ km/h\)

Putting u in (1):

\(1120-u=940\\\Rightarrow u = 180\ km/h\)

So, the answers are:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

The ending balance is $1032.5.

What is simple interest?

Simple interest is an interest rate that is solely calculated on the principal amount or the portion of the principal that is still owed. It does not take compounding into account. Simple interest may be used on a schedule other than annually, such as every month, week, or even every day.

Here, we have

Given: P = $2,500, r = 5.9%, t = 7 years

Convert 5.9% to a decimal

5.9% = 5.9 ÷ 100

 = 0.059

Substitute the values into the simple interest formula,

I = Prt   and we get

I = Prt

= 2500 × 0.059 × 7

= $1032.5

Hence, the ending balance is $1032.5.

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