according to the information that comes with a certain prescription drug, when taking this drug, there is a 24% chance of experiencing nausea (n) and a 46% chance of experiencing decreased sexual drive (d). the information also states that there is a 16% chance of experiencing both side effects.what is the probability of experiencing neither of the side effects? your answer should be to two decimal places.

Clio went 20 times to the movies last year. This can be calculated using linear equations.

Given,

Number of times all together they went to movies = 30

Clio = 5 times more than Alex

Bernie = is 2 times more than Alex.

Let 'a' be the number of times Alex has gone to the movie:

Clio = 5a

Bernie = a + 2

So, we can calculate the number of times Clio went to the movies if we find out how many times Alex went. This can be calculated using the following linear equation:

Clio + Bernie + Alex = 30

5a + (a +2) + a = 30

7a + 2 = 30

7a = 30 - 2

7a = 28

a = 28 ÷ 7

a = 4 times

From solving the above equation, we got that Alex (a) went to the theatre 4 times last year. Now, substituting the value of 'a' we get:

Clio = 5a

Clio = 5*4 = 20 times

Bernie = a+2 = 4+2 = 6 times

So, we can conclude by saying that, Clio went 20 times to the movies last year.

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The end behavior for this polynomial function is like;

f(x)--> +∞, as x--> −∞

f(x)--> +∞, as x--?>+∞

Given,

The polynomial function; y = 7x12 – 3x8 – 9x4

We have to find the nd behavior of the graph of the polynomial function;

End behavior of polynomial function;

The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f. In other words, if we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ), the end behavior of a function represents the trend of the graph.

Here,

We examine the polynomial's degree and the sign of the coefficient of the variable with the highest exponent to determine the graph's final behavior.

That is,

The end behavior for this polynomial function is like;

f(x)--> +∞, as x--> −∞

f(x)--> +∞, as x--?>+∞

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Her pay will increase by 20% as a result of the percentage being the difference from the original.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 78% grade if you answered 78 of 100 questions correctly on a test (78/100).

According to the given Information

Another name for the percentage is the signifying hundredths. As a result, 2% is equal to two hundredths, or 2%=2/100=0.02.

According to what has been stated,

Original price: $10

Pay increase = $12

% growth = (10 x 100 - (12 - 10))

⇒ 20%

Hence

Her pay will increase by 20% as a result of the percentage being the difference from the original.

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The proportion of wand prices as per normal distribution are lower than the price of the blackthorn wand is equal to 0.1151.

As given in the question,

Mean of the set of magical wand price 'μ' = 50dollars

Standard deviation 'σ' for normal distribution = 4 dollars

Price of blackthorn wand 'X' = 45.20 dollars

z-score = (x - μ)/σ

Proportion of wand prices be 'x'

P(x < X)

=P( x< 45.20)

=P [(x - μ)/σ < (X - μ )/σ]

=P[ z < (45.20 - 50)/4]

=P( z < -1.2 )

= 0.11507

=0.1151

Therefore, the proportion of the wand prices which are lower than the price of blackthorn wand using normal distribution is equal to 0.1151.

The complete question is:

A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthor wand has a price of 45.20 dollars. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places.

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Answer:

[tex](x+2, y+7)[/tex]

Step-by-step explanation:

[tex](x,y) \longrightarrow (x-3, y+5) \longrightarrow (x+2, y+7)[/tex]

Answer: $300,000

Step-by-step explanation:

The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)

The coordinates of point A = (-5, -4),

The coordinates of the point B = (-3, 3)

Let the point at the distance 3/4 from A to B = P

The coordinates of point 3/4 from A to B = P

At the x-coordinate, the distance from B to A is =  -3-(-5) = 2 units.

At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.

Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)

                                            P = (-5 + (3/4×(2), -4 + 3/4×(7))

                                            P = (-3.5, 1.25)

Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).

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The complete question is -

What are the coordinates of the point 3/4 of the way from A to B?

Nearest Twenty-one million streams will be available on the seventh day of song's release day. So, the correct option is option(A).

As we know the formula for the increase of population for compond increasing rate

A = P(1 + r)ᵗ---(1)

where P --> the intial population

r --> rate in decimal

t --> the time

A --> final population after t years

We have given that,

On the first day the song's release , it streams around 20 million population.

Rate of increase= 10% per day

We have to find the number of streams on seventh day.

so, time is 6 for it.

we have , P= 20 million ; t= 6

r = 10% = 10/100 = 0.1

putting all values we get,

A = 20 ( 1 + 0.1 )⁶

=> A = 20(1.01)⁶

=> A = 21.23

so the numnber of stream is 21.23 million ~ 21 million on seventh day.

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Complete question:

On the first day of a song's release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on the seventh day? Round to the nearest million.

a)21 million

b)35 million

c)37 million

d) 38 million

The equation of the parabola is y = -0.25(x - 4)² + 16 and he reaches 12 feet outwards when he hits the water

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

Initial position = 12 feet above the surface

Maximum height = 18 feet at 4 feet outward

These parameters mean that

(h, k)  = (4, 16) -- vertex

(x, y) = (0, 12)

A parabola is represented as

y = a(x - h)² + k

So, we have

y = a(x - 4)² + 16

Also, we have

12 = a(0 - 4)² + 16

This gives

12 = 16a + 16

So, we have

16a = -4

Divide

a = -0.25

Substitute a = -0.25 in y = a(x - 4)² + 16

y = -0.25(x - 4)² + 16

When it hits water, y = 0

So, we have

-0.25(x - 4)² + 16 = 0

This gives

0.25(x - 4)² = 16

So, we have

(x - 4)² = 64

Take square roots

x - 4 = 8

So, we have

x = 12

Hence, it is 12 feet outwards

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Answer : y coordinate is 1

y = 2x + 1

x + y = 1

solve for y : x + y = 1

-x -x

y = -x + 1

Graph them,

(0,1) (x,y) y value is 1

Answer: im not exactly sure but i think 600,000m³

Step-by-step explanation: multiply 50,000m by 4 to get 200,000m and then multiply that by 3 (because 200,000 is only one section of the tunnel)

and by doing that you get 600,000m and then add cubed onto the end because it says cubic meters

Diameter is 25.46 feet as circumference is 2πr and 2r is d so we just simply divide the circumference with π and get the value as 25.46

Step-by-step explanation:

Answer:

26.727feet

Step-by-step explanation:

Circumference = 22 x diameter

7

7x 84= 22d

d= 588

22

= 26.727feet

Answer: A C and D

Step-by-step explanation:

The birthday polynomial with 10-12-2247 is given as follows:

f(x) = x^7 - x^5 - 2x^4 + 2x³ + 2x² - 4x + 7.

A birthday polynomial is created attributing each digit of the birthday as a coefficient of the polynomial.

The birthday in this problem is given as follows:

10-12-2247.

Thus the coefficients of each term of the polynomial, in order, are given as follows:

There are eight coefficients, hence the polynomial is of the seventh degree.

The signs of each coefficient is not important, they can be chosen at random, and thus the birthday polynomial for the date of 10-12-2247 can be defined as follows:

f(x) = x^7 - x^5 - 2x^4 + 2x³ + 2x² - 4x + 7.

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The outcome in sample space is equal to the no. of ways of selecting 3 balls at random from 10 distinct balls. So, number of outcomes in sample space = ¹⁰C₃.

Permutation:

Permutations are different ways of arranging objects in a particular order. This can also be expressed as rearranging the elements in linear order of an already ordered set. The symbol are used to denote the number of permutations of n distinct objects obtained for each r. Block bus, train and plane timetables, postcode and phone number assignments. These are some situations where permutations are used.

Example: There are 5 chairs and 3 people need to sit on them. There are 5 ways to place the first person. 2nd person 4 seats, 3rd person 3 seats. So to find the number of ways to place her 3 on 5 chairs, multiply these ways. Make 5×4×3 streets. So we can do it 60 ways. 5 × 4 × 3 is written as (5!) / (2!) (or) (5!) / (5 - 3).

A combination is a selection of elements from a set with different members, so the order of selection does not matter (unlike a permutation). For example, if he is given three fruits, such as apples, oranges, and pears, he has three binary combinations that he can draw from this set. An apple and a pear. apples and oranges. Or pear and orange. More formally, a k-combination of a set S is a subset of the k distinct elements of S. Two combinations are identical only if each combination has the same members.

According to the Question:

The outcome in sample space is equal to the no. of ways of selecting 3 balls at random from 10 distinct balls. So, number of outcomes in sample space = ¹⁰C₃.

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Answer: the top left is a function

Answer:3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

Step-by-step explanation:For each time that the rat goes through the maze, there are only two possible outcomes. Either he fails it, or he succeds. The trials are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution:The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.In which  is the number of different combinations of x objects from a set of n elements, given by the following formula.And p is the probability of X happening.

What is the probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt?Missing on the first six, each with 70% probability(P(X = 6) when p = 0.7, n = 6).Succeeding on the 7th attempt, with p = 0.3. So 3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt

the area of the triangle is 7.5

The scale factor from the pre-image to the image is 2/5.

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

let the scale factor be m, so that the scale factor multiplied by the dimension of pre-image should give dimension of image.

so that we have,

20 x m = 8

20m = 8

divide both sides by 20

m = 8/20

m = 2/5

In conclusion the dilation factor is 2/5

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Answer:

101.25

Step-by-step explanation:

To find the number of students, we need to first determine the total amount earned from the students. We can do this by multiplying the number of people by the cost per student: $3/student * 120 people = $<<3*120=360>>360.

Since the total amount earned was $435 and we know that $360 of that came from students, we can find the number of students by subtracting the total earned from students from the total amount earned: $435 total - $360 from students = $75 from adults.

Since the cost per adult was $4, we can divide the total amount earned from adults by the cost per adult to find the number of adults: $75 / $4/adult = <<75/4=18.75>>18.75 adults.

Since there were 120 people in total and 18.75 of them were adults, there must have been 120 people - 18.75 people = <<120-18.75=101.25>>101.25 students

Answer:

6.5

Step-by-step explanation:

Step 1: Plug in g = 17, h = 2

0.7 * 17 - 2.7 * 2

Step 2: Solve Using PEMDAS

11.9 - 2.7 * 2

11.9 - 5.4

6.5

Answer:

You have chosen the correct answer

Step-by-step explanation:

He cannot spend more than 55. So the cost of the groceries has to be 55 or less.

He is only buying one package of eggs and the x represents how many packages of sugar he can purchase knowing that each box costs 11.50.

T(3)  = - 50.59 is time period

A specific quantity is converted from degrees to radians using the RADIANS function. The supplied angle, which is in degrees, is translated into a roughly equivalent angle, which is in radians.

According to given information

Since maximum term is -50°C at 2 pm

So

We can start with cosine curve with maximum temperature -50°C at t = 0

Assuming 2 pm as starting point t = 0

Period = [tex]\frac{2\pi }{b}[/tex]

   24   = [tex]\frac{2\pi }{b}[/tex]

    b = [tex]\frac{\pi }{12}[/tex]

By using Formula

y = a cos(bx) + d

y = a cos([tex]\frac{\pi }{12}[/tex]t) - 52

At 5 pm  , t = 3

T(3) = 2 cos([tex]\frac{\pi }{12}[/tex]×3) - 52

      = 2 ×[tex]\frac{\sqrt{3} }{2}[/tex] - 52

T(3)  = - 50.59 is time period

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Answer:

x >= 9.

Step-by-step explanation:

To earn a free movie ticket, Liam needs at least 160 points. He already has 50 points from signing up, so he needs 160 - 50 = <<160-50=110>>110 more points.

Each visit to the movie theater earns Liam 12.5 points, so the inequality representing the number of visits he needs to make is:

12.5 * x >= 110

To solve this inequality, we need to divide both sides by 12.5:

12.5 * x / 12.5 >= 110 / 12.5

This simplifies to:

x >= 8.8

Thus, Liam needs to make at least 9 visits to the movie theater to earn his first free movie ticket.

Therefore, the solution to the inequality is x >= 9.

Answer:

9 visits

Step-by-step explanation:

12.5 x 9 = 112.5

112.5 + 50 = 162.5

Yes , Dilation do changes the position

Dilation is the process of changing the size or shape of an object. With the aid of the specified scale factor, it is a transformation that makes the objects smaller or larger.

The pre-image is the original figure before dilation, while the new figure is referred to as the image.

Dilation can be of two types:

Dilation does not change the shape of the object from preimage to image only size and position are changed.

The shape can be a point, a line segment, a polygon, etc. It should be noted that the shape can be enlarged or shrunk but the proportion of each dimension of the shape and the angles remain the same.

Hence , It is true that dilation changes the position

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A quadrilateral with two distinct pairs of congruent and adjacent side is a kite.

A quadrilateral is a figure that has 4 sides and edges. Parallelogram, rectangle, square are all examples of quadrilateral.

Different quadrilaterals have different properties. A quadrilateral in which two distinct pairs of adjacent sides are congruent is termed as a kite.

Only kite is a quadrilateral which has the given property.

Some other properties of kite include-

1. diagonals of a kite are perpendicular to each other

2. along its main diagonal, a kite is symmetrical

3. one of the diagonals of the kite bisects the other

Thus, a quadrilateral with two distinct pairs of congruent and adjacent side is a kite.

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Answer:

4/12

Step-by-step explanation: