!!!!PLEASE HELPPPP ITS DUE SOON!!!!

Answer:

0.049

Step-by-step explanation:

17÷1=17

17÷12=1.42

1.42÷29=0.049

The function is odd, and the graph would be shifted downward. option(2)

The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.

Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units.

The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.

Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units. Option(2)

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Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

207/5 is the simplest form of  \(1\frac{3}{10}\) ×18

A number system is defined as a system of writing to express numbers.

We need to find the simplest form of \(1\frac{3}{10}\) ×18

Convert the mixed fraction to improper fraction and simplify.

 \(1\frac{3}{10}\)=23/10

Now multiply Twenty three divided by ten with eighteen.

23/10×18

Multiply 23 and 18

23×18=414

Now divide 414 by 10

414/10

Both numerator and denominator can be divided by 2 so

207/5

Hence 207/5 is the simplest form of  \(1\frac{3}{10}\) ×18

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a. The probability of the student's alarm clock not working on the morning of an important final exam is 0.123.

b. The probability that two independent alarm clocks both fail on the morning of an important final exam is 0.01513.

c. The probability of not being awakened if the student uses three independent alarm clocks is 0.00188.

d. The addition of two more alarm clocks does not result in greatly improved reliability.

a. The probability that the student's alarm clock will fail on any given day is 0.123.

Therefore, the probability that it will not fail on a given day is 1 - 0.123 = 0.877.

The probability that it will not work on the morning of an important final exam is the same as the probability that it will fail, which is 0.123.

b. Assuming that the two alarm clocks are independent of each other, the probability that both will fail on the morning of an important final exam is the product of their individual failure probabilities, which is 0.123 x 0.123 = 0.015129.

c. Assuming that the three alarm clocks are independent of each other, the probability of not being awakened is the probability that all three will fail on the morning of an important final exam.

This is the product of their individual failure probabilities, which is 0.123 x 0.123 x 0.123 = 0.0018755087.

d. Adding more redundant components can improve reliability, but in this case, the improvement is not significant.

Even with three alarm clocks, there is still a relatively high probability of not being awakened on the morning of an important final exam.

Other solutions, such as using a more reliable alarm clock or setting multiple alarms on a phone or other device, may be more effective in ensuring that the student wakes up on time.

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Answer:

1. x = {1.5, 0.2}  

2. x = 1

Step-by-step explanation:

Answer:

The Emperor Hotel in Bangkok has the higher z-score, so it is more expensive compared to other hotels in its city.

Step-by-step explanation:

Z-score:

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

The most expensive hotel has the higher z-score. So

Emerald Hotel in Moscow:

Costs $200, which means that \(X = 200\)

The average hotel price in Moscow is $216 per night with a standard deviation of $32, which means that \(\mu = 216, \sigma = 32\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{200 - 216}{32}\)

\(Z = -0.5\)

Ocean View Hotel in Cancun

Costs $183, which means that \(X = 183\).

The average hotel price in Cancun is $161 per night with a standard deviation of $22, which means that \(\mu = 161, \sigma = 22\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{183 - 161}{22}\)

\(Z = 1\)

Emperor Hotel in Bangkok

Costs $120, which means that \(X = 120\).

The average hotel price in Bangkok is $100 per night with a standard deviation of $17, which means that \(\mu = 100, \sigma = 17\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{120 - 100}{17}\)

\(Z = 1.18\)

The Emperor Hotel in Bangkok has the higher z-score, so it is more expensive compared to other hotels in its city.

The probability of 3 or more deaf people in a sample of 100 is given as follows:

0.3633 = 36.33%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of the parameters for this problem are given as follows:

p = 0.02, n = 100.

The probability of 3 or more deaf people are given as follows:

P(X >= 3) = 1 - P(X < 3).

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.1326 + 0.2707 + 0.2334

P(X < 3) = 0.6367.

P(X >= 3) = 1 - P(X < 3).

P(X >= 3) = 1 - 0.6367.

P(X >= 3) = 0.3633.

We suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.

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if 40 is the least frequent multiple of two whole numbers. The higher number to lesser number ratio is 4:5. The two digits after that are 8 and 10.

Least Common Multiple is the meaning of the abbreviation LCM.

The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers.

It can also be computed using two or more numbers.

Finding the LCM of a given collection of numbers can be done in a variety of ways.

Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple.

The smallest number among all numbers is called the least common multiple of two or more numbers.

According to our question-

The number LCM is equal to 40.

4 × 5 × x = 40

20 × x = 40

20x=40

x=2

The larger number is equal to 4 x=4(2)=8.

The smaller value is =5x=5(2)=10.

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Complete question-

The least common multiple of two whole numbers is 40. The ratio of the greater number to the lesser number is 4:5. What are the two numbers?

Based on the information in the triangle, the measure of ZDEB is 54°.

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.

The sum of the measures of the angles of a triangle is 180 degrees. Therefore,

mZAEC + m/AED + mZDEB = 180

(2x+4) + (5x+1) + mZDEB = 180

7x+5 = 180

7x = 175

x = 25

mZDEB = 2x+4 = 2(25)+4 = 54 degrees

Hence, the answer is 54

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c) The equation for N(t) is

N(t) = 400(1.06)^t

recall, the equation for exponential growth is expressed as

y = Po(1 + r)^t

where

r represents the growth rate

By comparing both equations,

1 + r = 1.06

r = 1.06 - 1

r = 0.06

We would convert the rate to percent by multiplying by 100. Thus,

percent growth each year = 0.06 x 100 = 6%

d) The equation for Tasha's balance is

T(t) = 650(1.03)^t

To find the year when Nick's balance would catch up with tasha's, we would equate both equations and solve for t. We have

400(1.06)^t = 650(1.03)^t

Dividing both sides of the equation by 400, it becomes

400/400(1.06)^t = 650/400(1.03)^t

(1.06)^t = 1.625(1.03)^t

1.625 = (1.06)^t/(1.03)^t

Taking the natural log of both sides, it becomes

ln 1.625 = ln[(1.06)^t/(1.03)^t] = ln(1.06)^t - ln(1.03)^t

By applying one of th rules of logarithm, it becomes

ln 1.625 = tln1.06 - tln1.03 = t(ln1.06 - ln1.03)

t = ln 1.625/(ln1.06 - ln1.03)

t = 16.9

It will take approximately 16.9 years for Nick's balance to catch up with Tasha's

The graph is shown below

The red line represents Nick's balance after t years

the blue line represents Tasha's balance after t years

Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(3 + 7)

20 = 2(10)

20 = 20 (True).

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Answer:

\(Adults = 510\)

Step-by-step explanation:

Given

\(Children = \frac{3}{5}\)

\(Girls:Boys = 2 : 7\)

\(Girls = 170\)

Required

Determine the number of adults

First, we need to calculate the number of children

\(Girls:Boys = 2 : 7\)

Given that: \(Girls = 170\)

Substitute 170 for Girls in \(Girls:Boys = 2 : 7\)

\(170 : Boys = 2 : 7\)

Convert to fraction

\(\frac{170}{Boys} = \frac{2}{7}\)

Cross Multiply

\(Boys * 2 = 170 * 7\)

Divide both sides by 2

\(Boys = \frac{170 * 7}{2}\)

\(Boys = \frac{1190}{2}\)

\(Boys = 595\)

So, the number of children are:

\(Children = Boys + Girls\)

\(Children = 595 + 170\)

\(Children = 765\)

Next, we calculate the number of people in the cinema.

\(Children = \frac{3}{5} * People\)

Substitute 765 for Children

\(765 = \frac{3}{5} * People\)

Make People the subject.

\(People = \frac{765 * 5}{3}\)

\(People = \frac{3825}{3}\)

\(People = 1275\)

If 3/5 are children, then 2/5 are adults.

So:

\(Adults = \frac{2}{5} * 1275\)

\(Adults = \frac{2* 1275}{5}\)

\(Adults = \frac{2550}{5}\)

\(Adults = 510\)

If \(f,g\) are inverses of one another, then

\(f\circ g(x) = g\circ f(x) = x\)

Given \(f(x)=x^2-1\) and \(g(x)=\sqrt{x-8}\), then

\(f\circ g (x) = f(g(x)) = f(\sqrt{x-8}) = \left(\sqrt{x-8}\right)^2 - 1 = \boxed{x - 9} \neq x\)

so right away we know \(f\) and \(g\) are not inverses.

In the other direction, we come to the same conclusion.

\(g\circ f(x) = g(f(x)) = g(x^2 - 1) = \sqrt{(x^2-1)-9} = \boxed{\sqrt{x^2 - 9}} \neq x\)

The probability that the sum exceeds 5 is P ( A ) = 0.6111

Given data ,

To find the probability of getting two numbers whose sum exceeds 5 when rolling a single die twice, we need to count the number of outcomes where the sum of the two numbers is greater than 5, and then divide that by the total number of equally-likely outcomes.

The outcomes where the sum exceeds 5 are:

(2, 4), (2, 5), (2, 6)

(3, 3), (3, 4), (3, 5), (3, 6)

(4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

There are 22 outcomes where the sum exceeds 5 out of a total of 36 equally-likely outcomes.

So, the probability of getting two numbers whose sum exceeds 5 when rolling a single die twice is:

P(sum > 5) = 22 / 36 ≈ 0.6111 or approximately 61.11 %

Hence , the probability is P ( A ) = 0.6111

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The complete question is attached below :

A single die is rolled twice. The 36​ equally-likely outcomes are shown to the right.Find the probability of getting two numbers whose sum exceeds 5

Applying a numeric value to the function on the interval, it is found that f is positive on the interval -4 < x < 1.

The function f is given by:

\(f(x) = (x + 4)(x - 2)(x - 1)\)

On the interval -4 < x < 1, to find the sign, we find the numeric value for a value of x, which we are going to use x = 0.

Hence:

\(f(0) = (0 + 4)(0 - 2)(0 - 1) = 4(-2)(-1) = (-8)(-1) = 8\)

Hence, f is positive on the interval -4 < x < 1.

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Answer:

f is always negative on the interval

Step-by-step explanation:

Answer:

D. y = –6x – 4

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  y = − 6 x + 2 .

y = − 6 x − 4                 PARALLEL

...............................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  y = − 6 x + 2 .

y = 1 /6 x + 13/ 6            PERPENDICULAR

Answer:

D

Step-by-step explanation:

Answer:

$180

Step-by-step explanation:

Answer:

£180

Step-by-step explanation:

250 / 5 = 50

250 - 50 = 200

200 / 10 = 20

200 - 10 = 180

Answer:

Step-by-step explanation:

In a pictogram, data can be arranged as follows:

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Answer:

85

Step-by-step explanation:

The length of BE is 5.6 cm.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

The area of a kite can be calculated as;

A = d1 x d2 / 2

WE are given the parameters as;

d1 = ED = 5 units

A quadrilateral ABCD is a kite with an area of 14cm squared.

Therefore,

14 = 5 x BE / 2

14 x 2 = 5  BE

28 = 5 BE

BE = 5.6 cm.

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The solution is, s = 273

Arc length formula is used to calculate the measure of the distance along the curved line making up the arc (a segment of a circle). In simple words, the distance that runs through the curved line of the circle making up the arc is known as the arc length.

here, we have,

r=7m

theta = 39°

we know, s= r*theta

i.e. s = 273

hence, The solution is, s = 273.

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The hοle needs tο be 39 inches deeper.

A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.

The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).

Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:

6 feet - 2.75 feet = 3.25 feet

Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:

3.25 feet x 12 inches/1 fοοt = 39 inches

Therefοre, the hοle needs tο be 39 inches deeper.

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Answer:

The answer is: 4y(2x+y)

Step-by-step explanation:

The according to the dot plot, the true statement is: the data is left-skewed and shows Shira never scored fewer than 2 points or more than 12 points in a game

A data distribution that is left-skewed is negatively skewed. This means that the long tail goes in the negative direction of the number line, with most of the values being concentrated on the right side.

The dot plot given is left-skewed, which means it is negatively-skewed.

Therefore, the according to the dot plot, the true statement is:

The data is left-skewed and shows Shira never scored fewer than 2 points or more than 12 points in a game

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Answer:

c

The data is skewed to the left and shows that she never scored fewer than 2 points or more than 12 points in a game.

Step-by-step explanation:

swag

Answer:

17.44 ft.

Step-by-step explanation:

Given,

The Distance of the hot air balloon: 110 ft

Change in elevation, \(\theta_1 = 25^0, \theta_2 = 32\)

We know that,

\(\tan \theta = \dfrac{Perpendicular}{base}\)

Now,

\(\tan \theta_1 = \dfrac{h_1}{110}\)

\(\tan 25^0= \dfrac{h_1}{110}\)

\(h_1 = 51.294\ ft\)

\(\tan \theta_2= \dfrac{h_2}{110}\)

\(\tan 32^0= \dfrac{h_2}{110}\)

\(h_2 = 68.736\ ft\)

Rise of balloon = 68.736 - 51.294

                         = 17.442 ft

                         = 17.44 ft

Hence, the rise of the balloon rise is 17.44 ft.

The final answer for linearizing the function f(x) = cos^5(x) around a = 0 is:

f(x) ≈ 1.

Linearizing a function is the process of approximating the behavior of a function by a linear function (i.e., a function of the form y = mx + b) in a certain region around a specific point.

Linearization is useful because linear functions are easy to work with mathematically, and they can provide a good approximation of the original function near the point of interest. By linearizing a function, we can simplify calculations and make predictions about the behavior of the function in the vicinity of the point of interest.

In the given question,

To linearize the function f(x) = cos^5(x) around a point a, we can use the first two terms of the Taylor series expansion:

f(x) ≈ f(a) + f'(a)(x - a)

where f'(a) is the first derivative of f evaluated at x = a.

In this case, we want to linearize around a = 0, so we have:

f(x) ≈ f(0) + f'(0)(x - 0)

To find f(0) and f'(0), we need to evaluate the function and its derivative at x = 0:

f(x) = cos^5(x)

f(0) = cos^5(0) = 1

f'(x) = 5cos^4(x)(-sin(x))

f'(0) = 5cos^4(0)(-sin(0)) = 0

Therefore, the linearization of f(x) = cos^5(x) around a = 0 is:

f(x) ≈ 1 + 0(x - 0) = 1

So the linearization is simply the constant function f(x) = 1. This means that for small values of x, the function cos^5(x) can be approximated by the constant function 1. The accuracy of this approximation depends on how small x is and how far away x is from 0.

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In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.

To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).

The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.

Given data:

Cost of a 30-second commercial in 2021 = $5.6 million

CPI in 2021 = 271.4

CPI in 1967 = 33.4

To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:

Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)

Cost in 1967 = ($5.6 million) * (33.4 / 271.4)

Cost in 1967 ≈ $0.689 million

To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:

Cost in 1967 ≈ $68,900

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Answer:

No of problems Jamle completed = 2p-2

Step-by-step explanation:

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Answer:

2p-2

Step-by-step explanation: