Which statement about the graphs of functions g(x)
(x - 1)2 and f(x) = x2 is true?

The function `g(x)` in terms of sine only is `g(x) = 3sin(2x) - 6sin²(2x)`

The given function is `g(x) = cos(2x) 3 sin(2x)`.

In order to express the function in terms of sine only, we will make use of the following identity:cos(2x) = 1 - 2sin²(x)

Substituting the value of `cos(2x)` in the given function, we get:

g(x) = (1 - 2sin²(2x)) 3sin(2x)

Now, we can simplify this expression by expanding it:

g(x) = 3sin(2x) - 6sin²(2x)

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The solution is : the measure of angle A is 150°.

We have,

First a diagram which looks like a 12 sided figure where all the sides are equal.

Now draw 2 consecutive radii.

There are 12 such triangles in a 12 sided polygon.

These triangles have an apex angle of 360 / 12 = 30 degrees.

The other two angles making up the triangle are both equal.

Therefore x + x + 30 = 180

2x = 150

x = 75

But 75 is 1/2 of the interior angle.

There are 2 such angles making up the interior angle 75 + 75 = 150.

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Answer:

22

Step-by-step explanation:

f(-6) = -3(-6) + 4  Negative times a negative is a positive.

f(-6) = 18 + 4

f(-6) = 22

The answer for f(x) = -3x + 4 when x = -6 is 22.

Given equation is f(x) = -3x + 4

We have to put x = -6

f(-6) = -3 (-6) +4

       = 18 + 4

       = 22

Hence, the answer is 22.

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For any two events A and B, it is not always true that P(A or B) = P(A) + P(B), unless they are disjoint events. This is because, in the case of non-disjoint events, some of the outcomes will be counted twice when you add the probabilities of the two events.

A more accurate statement for the probability of A or B is: P(A or B) = P(A) + P(B) - P(A and B)where P(A and B) represents the probability that both events A and B occur simultaneously. This formula is known as the addition rule for probability and holds true for any two events, whether they are disjoint or not. In the case of disjoint events, the probability of A and B occurring together is zero, so the formula simplifies to P(A or B) = P(A) + P(B).

However, in the case of non-disjoint events, we need to subtract the probability of A and B occurring together to avoid double counting, which is why the more general formula is required.

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The coordinates of the vertices of the translated shape are (-4, 7), (-1, 7), (-4, 5), and (1, 5).

Transforming an object from one place to another without altering its size or shape is known as translation. Contrarily, the term "transformation" refers to a wider range of procedures that can alter the size, shape, or orientation of an item. Rotation, reflection, and scaling are some more forms of transformation in addition to translation.

The given vector is (-5, 3).

To translate the graph add the vector to the coordinates as follows:

(1, 4) + (-5, 3) = (-4, 7)

(4, 4) + (-5, 3) = (-1, 7)

(1, 2) + (-5, 3) = (-4, 5)

(6, 2) + (-5, 3) = (1, 5)

Hence, the coordinates of the vertices of the translated shape are (-4, 7), (-1, 7), (-4, 5), and (1, 5).

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The MLE for u is the sample mean and the MLE for 02 is the sample variance.

To find the maximum likelihood estimators (MLEs) for both u and 02, we need to first write down the likelihood function.

The likelihood function for a normal distribution with unknown mean u and unknown variance 02 is given by:

L(u,02|X1,X2,...,Xn) = (2π02)^(-n/2) exp[-1/(2*02) Σ(Xi-u)^2]

Taking the natural logarithm of the likelihood function, we get:

log L(u,02|X1,X2,...,Xn) = -n/2 log(2π02) - 1/(2*02) Σ(Xi-u)^2

To find the MLE for u, we differentiate the log likelihood function with respect to u and set it equal to zero:

d/d u log L(u,02|X1,X2,...,Xn) = 1/(2*02) Σ(Xi-u) = 0

Solving for u, we get:

u = ΣXi / n

Therefore, the MLE for u is simply the sample mean.

To find the MLE for 02, we differentiate the log likelihood function with respect to 02 and set it equal to zero:

d/d(02) log L(u,02|X1,X2,...,Xn) = -n/(2*02) + 1/(2*02^2) Σ(Xi-u)^2 = 0

Solving for 02, we get:

02 = Σ(Xi-u)^2 / n

Therefore, the MLE for 02 is simply the sample variance.

In summary, the MLE for u is the sample mean and the MLE for 02 is the sample variance.

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(a) The population proportion of success is given as 53%. This means that 53% of the population is expected to have a successful outcome from the flu shot.

To calculate the population proportion of success, we are given that the flu vaccine is effective for 53% of patients administered the shot. This means that 53% (or 0.53) of the entire population is expected to have a successful outcome from the flu shot.

(b) The mean of the sampling distribution of the sample proportion is also 53%.

The mean of the sampling distribution of the sample proportion can be calculated using the same population proportion of success, which is 53%. The sampling distribution represents the distribution of sample proportions if multiple samples of the same size are taken from the population. Since the mean of the sampling distribution is equal to the population proportion, the mean in this case is also 53%.

(c) The standard deviation of the sampling distribution of the sample proportion is approximately 0.017.

To calculate the standard deviation of the sampling distribution of the sample proportion, we use the formula:

\(\sigma = \sqrt{\frac{p \cdot q}{n}}\)

where σ represents the standard deviation, p is the population proportion of success (0.53), q is the complement of p (1 - p, which is 0.47), and n is the sample size (85).

Plugging in the values, we get:

\(\sigma = \sqrt{\frac{0.53 \cdot 0.47}{85}}\)

Calculating this expression, we find:

\(\sigma \approx \sqrt{\frac{0.0251}{85}} \approx \sqrt{0.000295} \approx 0.0171\)

Rounding this value to three decimal places, the standard deviation of the sampling distribution of the sample proportion is approximately 0.017.

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Answer:

40

Step-by-step explanation:

\(5. {2}^{3} = 5.8 = 40 \\ \)

The distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

Speed can be thought of as the rate at which an object covers distance.

A fast-moving object has a high speed and covers a relatively large distance in a given amount of time, while a slow

moving object covers a relatively small amount of distance in the same amount of time.

To calculate the distance traveled over 9 hours at a speed of 840 km/h, follow these steps:

1. Identify the time and speed given in the student question: 9 hours and 840 km/h.

2. Use the formula for distance:

distance = speed × time.

3. Plug in the values:

distance = 840 km/h × 9 hours.

4. Calculate the distance:

distance = 7,560 km.

So, the distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

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The possible solution set for the system is (- 1, 4) and (4, - 1).

Given are the equations as -

x + y = 3

x² + y² = 17

Refer to the graph of the function attached. The points of intersection represents the possible solution set.

Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).

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Answer:

c

Step-by-step explanation:

The period is 1 complete cycle of the wave, before repeating.

1 cycle is from - 6 to - 2 , then

period = 4  → c

Answer: 66.548

Step-by-step explanation: 26.2 in = 66.548 so that is how I got my elegant marvelous answer

The statement that correctly describes a normal distribution is, the approximate percent of values lying within three standard deviation of the mean is 49.85%. approximately 68% of the values are greater than the mean value.

For the standard normal distribution, 68% of the observations lie within 1 standard deviation of the mean; 95% lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean.

The Standard Normal curve, shown here, has mean 0 and standard deviation 1. If a dataset follows a normal distribution, then about 68% of the observations will fall within of the mean , which in this case is with the interval (-1,1).

In normally distributed data, about 34% of the values lie between the mean and one standard deviation below the mean, and 34% between the mean and one standard deviation above the mean. In addition, 13.5% of the values lie between the first and second standard deviations above the mean.

The approximate percent of values lying within three standard deviations of the mean is 49.85%. A. Approximately 68% of the values lie within one standard deviation of the mean.

Therefore,

The statement that correctly describes a normal distribution is, the approximate percent of values lying within three standard deviation of the mean is 49.85%. approximately 68% of the values are greater than the mean value.

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Answer:

Number of bagels = 10

Number of donuts = 25

Step-by-step explanation:

Let Number of bagels = b

Number of donuts = d

As given,

Each donut cost $0.55 and each bagel cost $1.20

⇒ Cost of d donuts = $0.55d

   Cost of b bagels = $1.20b

Also given,

Jamian bought a total of 35 bagels and donuts

⇒ b + d = 35     ........(1)

Also,

He paid a total of  $25.75.

⇒ 1.20b + 0.55d = 25.75          .........(2)

Now,

Multiply equation (1) by 1.20 , we get

1.20( b + d = 35 )

⇒1.20b + 1.20d = 42               ..........(3)

Now,

Subtract equation (2) from equation (3), we get

1.20b + 1.20d  - ( 1.20b + 0.55d ) = 42 - 25.75

⇒1.20b + 1.20d  - 1.20b - 0.55d  = 16.25

⇒0.65d = 16.25

⇒d = \(\frac{16.25}{0.65}\) = 25

⇒d = 25

Put the value of d in equation (1) , we get

b + d = 35

⇒b + 25 = 35

⇒b = 35 - 25 = 10

⇒b = 10

∴ we get

Number of bagels = b = 10

Number of donuts = d = 25

Answer:

A cone is a shape with a circular base and a single face that ends in a point.

A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon. Other faces of a prism are parallelograms or rectangles.

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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The answer will be $1100 invested in each year.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

The formula for simple interest is:

S = p*t*r/100

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

We'll figure out how to solve the two-equation linear system:

We'll set x equal to 8% of the investment and y equal to 5% of the investment.

Equation 1: x + y = 2900 (total invested money)

Equation 2: 0.06x + 0.04y = 138 (total interest of both investments)

25*(0.06x+0.04y = 138)

Equation 3: 1.5x + y = 3450

Eq3-Eq1

0.5x = 550

x = 550/0.5 = 1100

Hence the investment in each year will be $1100.

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Answer:

0.22 square units

Step-by-step explanation:

Area of the left over fabric = Area of the square piece - Area of the circle

let the side length of the square piece be 1 unit

Area of the square piece = 1 * 1

Area of the square piece = 1 square units

Area of the circle = πd²/4

d is the diameter of the circle = 1 unit (equivalent to the side length of the square)

Area of the circle = π(1)²/4

Area of the circle = 3.14/4

Area of the circle = 0.785square units

Area of the left over fabric = 1- 0785

Area of the left over fabric = 0.215 square units

Hence the amount of fabric that would be leftover is 0.22 square units

Answer:

0.22 square units

Step-by-step explanation:

Hope this helps

The Mean of the dispersion of z-scores will be 0, and the standard deviation will be 1. 

On the off chance that all of the scores within the populace are changed into z-scores, at that point the coming about the conveyance of z-scores will have a cruel (mean) of and a standard deviation of 1.

Usually, since the change of a crude score x to a z-score is given by:

z = (x - μ) / σ

where μ is the populace Mean.

and σ is the populace standard deviation.

When all scores within the populace are changed to z-scores, the Mean of the coming about dispersion of z-scores will be:

( Mean of z-scores)

= [(Mean  of crude scores) - μ] / σ

= (μ - μ) / σ =

So also, the standard deviation of the dissemination of z-scores will be:

(standard deviation of z-scores) = (standard deviation of crude scores) / σ = σ / σ = 1

In this manner,

The cruel of the dispersion of z-scores will be 0, and the standard deviation will be 1. 

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If all of the scores in the population are transformed into z-scores, the values for the mean and standard deviation for the complete set of z-scores will be a mean of 0 and a standard deviation of 1.

This is because the process of transforming scores into z-scores involves subtracting the mean of the population and dividing by the standard deviation, which effectively standardizes the data to have a mean of 0 and a standard deviation of 1. When all the scores in a population are transformed into z-scores, the mean of the complete set of z-scores will be 0 and the standard deviation will be 1. This is because z-scores represent the number of standard deviations a value is from the mean, and the transformation standardizes the distribution.

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I give u the answers of first and second one.

thank you

brainlist please

Answer:

First answer is 9 or 1 . Second answer is 7 or -7.

Step-by-step explanation:

\((x-5)^{2} =16\)

\(x-5 = 4\)  or \(x - 5 =-4\)

so \(x = 9\) or \(x = 1\)

\(2x^{2} = 98\)

\(x^{2} =49\)

\(x=7\) or \(x = -7\)

Answer:

10

Step-by-step explanation:

Hello,

(h.g)(1)=h(1)*g(1)

h(1)=1+4=5

g(1)=2

so h(1)*g(1)=5*2=10

the correct answer is 10

Answer:

10

Step-by-step explanation:

g(x) = 2x

h(x) = x^2 + 4

(h*g)(1)

h(1) = 1^2 +4 = 1+4 = 5

g(1) = 2*2 =2

(h*g)(1) = 5*2 = 10

Answer:

The table that correctly represents the given relationship is the one marked as c

Step-by-step explanation:

Table of Values of a Relationship

We are given a relationship between c and d as follows:

\(d=c+20.8\)

One of the tables corresponds to the equation above. It's just a matter of testing for the given values of c.

For c=4:

\(d=4+20.8 = 24.8\)

For c=6:

\(d=6+20.8 = 26.8\)

For c=8:

\(d=8+20.8 = 28.8\)

For c=10:

\(d=10+20.8 = 30.8\)

-------------------------------------------

It's clear that the table that correctly represents the given relationship is the one marked as c

If the ordered pair of the relation is {(1,2), (3, 4), (5,5)}, then  {1, 3, 5} and range {2, 4, 5}

The ordered pairs of the relation is

{(1,2), (3, 4), (5,5)}

The relation is the defined as the mathematical statement that shows the relationship between the x values and y values in the ordered pair.

The domain is the set of all input of the relation, and domain is also known as x values of the relation

The range is the set of all outputs of the relation, and range is also known as the y values of the relation

The ordered pair = {(1,2), (3, 4), (5,5)}

The domain = {1, 3, 5}

The range = {2, 4, 5}

Therefore, the domain is  {1, 3, 5} and range {2, 4, 5}

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In linear equation, 256.28 is the cost of her ticket .

What is the most effective way to explain linear equations?

An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).

                          In this scenario, y is referred to as the dependent variable because it depends on the independent variable, x. A linear equation is an algebraic equation of the form y=mx+b.

=  149 * .72

= 107.28

= 149 + 107.28

= 256.28

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Answer:

x = 55°

Step-by-step explanation:

Hello!

The sum of angles in a triangle is 180°.

To solve for x, we have to subtract the given angles from 180°.

The value of x is 55°.

Angle sum property of a triangle

∠A + ∠B + ∠C = 180°

We need to find the value of ∠A

According to the angle sum property of a triangle

⇢∠A + ∠B + ∠C = 180°

⇢∠A + 75° + 50° = 180°

⇢∠A + 125° = 180°

⇢∠A = 180° - 125°

⇢∠A = 55°

Answer:

14s^4-7s^2+15

Step-by-step explanation:

At the beginning the only bracket that is changing is the 3rd one because of the minus. (12s^4-6s^2+4s)+(6s^4-4s+27)-4s^4+s^2+12 then open the rest of the brackets. And start calculating.i will just to show you which ones u calculate together. (I'll separate the numbers depending on what they're squared to).

12s^4+6s^4-4s^4=14s^4

-6s^2-s^2=7s^2

27-12=15

All together is 14s^4-7s^2+15

Complete question :

A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29

a. State whether the following statement is true or false. The population is all students enrolled in the accounting class.

b. Does the value 3.29 represent the population parameter or the sample statistic?

Answer:

True ; population parameter

Step-by-step explanation: The population comprises of all sets or participants relating to a study or experiment. For example, a population of male adults in the United States refers to the entire pool of adult population in the country. Hence, in the scenario above, the population refers to the entire student in the accounting class since the accounting class represents the entire pool of students.

B.) population parameter

Statistical estimates derived from a population is called the a parameter, since 3.29 represent the average score of the entire class.

Same statistic represents estimates derived from a sample (subset of the entire population).