Examine the following function f(x).

A “U” shape graph with a flattened vertex, opening up. It passes through points (negative 1, negative 6), (0, negative 7) and (1, negative 6).

© 2018 StrongMind. Created using GeoGebra.

Which statements are correct about the function f(x)?

Select all that apply.


f(x) is an even function.
f of x, is an even function.

f(−1)=f(1)f of negative 1 is equal to f of 1

f(x) is an odd function.
f of x, is an odd function.

f(−1)=−f(1)f of negative 1 is equal to negative f times 1

f(x) has rotational symmetry.

Answer:

1/38

Step-by-step explanation:

Given :

Probability = required outcome / Total possible outcomes

Total possible outcomes = total Numbe rod sections = 38

Required outcome = number of 1's on the entire section = 1

Hence, the probability of spinning a one equals :

P(spinning a 1) = 1 / 38

Answer:

A)  k(x)

Step-by-step explanation:

An inverse function does the opposite to the function.

For example, if the function was "+2" then the inverse would be "-2", or if the function was "×2" the inverse would be "÷2".

An inverse function is a reflection of the function in the line y = x

Therefore (x, y) → (y, x)

(-8, 2) → (2, -8)

(-4, 3) → (3, -4)

(0, 4) → (4, 0)

(4, 5) → (5, 4)

(8, 6) → (6, 8)

Therefore, the function k(x) could be an inverse of function g(x).

Answer:

y8x122

Step-by-step explanation:

Simplify this expression.

Answer:

Step-by-step explanation:

Answer:

first one is 42

second one is 3/8

Step-by-step explanation:

Given that the square region has been partitioned into 5 identical rectangular regions, and the perimeter of each rectangular region is 30. We are to find the perimeter of the square region.

As we know that the perimeter of a rectangle is given by P= 2 (l + b)
Let's say the length of the rectangle is 'l' and the breadth of the rectangle is 'b'. Since the five rectangular regions are identical, all of them will have the same length and breadth. Let's take the length and breadth of each rectangular region as x and y respectively. So, the perimeter of each rectangular region is given by P = 2(x + y) = 30Given P = 30, we get2(x + y) = 302x + 2y = 30x + y = 15... equation (1)
We know that the square region is partitioned into 5 identical rectangular regions. Therefore, the length of the square region will be 5 times the length of the rectangular region and the breadth of the square region will be the same as the breadth of the rectangular region. So, length of the square region = 5x, and breadth of the square region = y.
The perimeter of the square region = 2(5x + y) = 10x + 2yAs we know that x + y = 15 (from equation 1)So, 10x + 2y = 10(x + y) + 8y= 10(15) + 8y= 150 + 8y. Therefore, the perimeter of the square region is 150 + 8y.

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Answer:

I believe That the answer is c.

Step-by-step explanation:

The question shows what it should look like, and C matches the question.

Answer:

no

Step-by-step explanation:

52/48 simplifies to 13/12

13/12 does not =7/6

The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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Answer: p = 4r + 10

Step-by-step explanation:

The price is $4 per rental, so 4*r, and there is a flat rate of $10 per month, so + 10.

Answer:

m=10

Step-by-step explanation:

m/5=2

m=10

thats what i got

Answer:m=10

Step-by-step explanation:

Because first you subtract 9 from 11. And that is 2 and then you multiply the 5 times 2 and get 10.

Answer:

Corresponding and x = 5

Step-by-step explanation:

To solve for x set the two equations equal to each other

5x+23 = 7x+13

10 = 2x

x = 5

The dimensions of the garden are 12.5 feet by 30.5 feet.

To model this situation, we can use two equations. Let the width of the rectangular garden be w feet and the length be l feet.

Then:We know that the perimeter of the garden is 90 feet because the amount of fencing used was 90 feet.Perimeter = sum of all sides2(l + w) = 90Divide both sides by 22(l + w)/2 = 45l + w = 45Now,

we also know that the length of the fence, 1, was 5 feet less than 3 times the width,

w.l = 3w - 5Substitute this equation for l in the first equation:3w - 5 + w = 45Simplify:4w - 5 = 45

Add 5 to both sides :4w = 50Divide both sides by 4:w = 12.5

Now that we know the width of the garden is 12.5 feet, we can use the equation for l to find the length:l = 3w - 5l = 3(12.5) - 5l = 30.5

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The z score for the standard normal distribution can be either negative or positive. The answer to the statement is “can be either negative or positive." The z-score is a numerical measure that relates to the number of standard deviations an observation is above or below the mean. It is also known as the standard score.

In a normal distribution, the mean is equal to zero and the standard deviation is equal to one. The z-score of the normal distribution indicates how many standard deviations an observation is above or below the mean. The z-score of any observation in a standard normal distribution can either be negative or positive.

The standard normal distribution is the foundation for all normal distributions, and it has a mean of zero and a standard deviation of one. A random variable that follows a standard normal distribution is said to have a standard normal score (z-score). The z-score measures how far a score is from the mean in terms of standard deviations. It is calculated by subtracting the mean from the observed value and dividing the result by the standard deviation. The z-score is a unit-free measure since it is expressed in terms of standard deviations from the mean.The z-score is used in hypothesis testing, confidence interval estimation, and many other statistical applications. The z-score allows researchers to compare different samples or populations that have different means and standard deviations. The z-score is always positive when the observed value is greater than the mean, and it is always negative when the observed value is less than the mean. However, the z-score can never be equal to zero since it represents the difference between the observed value and the mean.

The statement "The z score for the standard normal distribution can be either negative or positive" is accurate. The z-score measures how far a score is from the mean in terms of standard deviations, and it can be either negative or positive. However, the z-score can never be zero, as it represents the difference between the observed value and the mean.

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Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

The inequality that shows the number of gallons of each drink that Harry can buy is 2x + 2.5y ≤ 24.

The number of gallons of iced tea that Harry can buy if he buys 5 gallons of lemonade is 5 gallons of iced tea

The number of gallons of iced tea that can be bought is x so the total price would be:

= 2x

Number of gallons of lemonade is:

= 2.5y

Harry can spend not more than $24.00 which means the total should either be $24 or less:

2x + 2.5y ≤ 24

If Harry buys 5 gallons of lemonade, he would spend:

= 5 x 2.50

= $12.50

The number of gallons of iced tea he can buy is:

= (24 - 12.50) / 2.00

= 5 gallons of iced tea

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Answer:

-1/2

Step-by-step explanation:

Im not going to go into detail about how to compute sin30 and cos 30, but know that sine and cosine are just the ratios between the sides of a 30-60-90 triangle with a hypothenuse of 1.

With that being said:

sin^2 30 - cos^2 30

=  (1/2)^2 - ((sqrt3)/2)^2

= 1/4 - 3/4

= -1/2

Answer:

-1/2

Step-by-step explanation:

Answer:

66.9 degrees faranhiet

Step-by-step explanation:

That's what it looks like

In the context of statistics, a statistic refers to a numerical value that is calculated from a sample of data, while a parameter refers to a numerical value that describes a population.

In the given scenario, the number of birds in different regions can be considered as either a statistic or a parameter depending on the context in which it is used.

If the number of birds is obtained by counting the birds in a specific region and then calculating summary measures such as the mean, median, or standard deviation based on that sample, then it would be considered a statistic. This is because the data is collected from a subset (sample) of the entire population of birds.

On the other hand, if the number of birds represents the total count or an average count across all regions without any sampling involved, then it would be considered a parameter. In this case, the value represents a characteristic of the entire population of birds in different regions.

It is important to note that whether the number of birds is considered a statistic or a parameter depends on how the data is collected and analyzed.

If multiple samples are taken from different regions and statistical inference techniques are used to make inferences about the entire population, then it would be appropriate to consider it as a statistic. However, if the data represents a complete count or an average across all regions without any sampling involved, then it would be considered a parameter.

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Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

We have,

To determine if the die is balanced, we can perform a chi-square test of goodness of fit.

The null hypothesis is that the die is balanced, and the alternative hypothesis is that the die is not balanced.

First, let's calculate the expected frequencies for each outcome assuming the die is balanced. Since there are 180 tosses in total, each outcome is expected to have an equal probability of 1/6.

Expected frequency for each outcome

= (Total tosses) x (Probability of each outcome)

Expected frequency for each outcome = (180) x (1/6)

Expected frequency for each outcome = 30

Now, we can calculate the chi-square test statistic using the formula:

χ² = Σ [(Observed frequency - Expected frequency)² / Expected frequency]

Let's calculate the chi-square test statistic:

χ² = [(28 - 30)² / 30] + [(36 - 30)² / 30] + [(36 - 30)² / 30] + [(30 - 30)² / 30] + [(27 - 30)² / 30] + [(23 - 30)² / 30]

χ² = [(-2)² / 30] + [(6)² / 30] + [(6)² / 30] + [(0)² / 30] + [(-3)² / 30] + [(7)² / 30]

χ² = 4/30 + 36/30 + 36/30 + 0/30 + 9/30 + 49/30

χ² = 134/30

χ² ≈ 4.467

Next, we need to compare the calculated chi-square value to the critical chi-square value at a significance level of 0.01 and degrees of freedom equal to the number of outcomes minus 1 (6 - 1 = 5).

Looking up the critical chi-square value in a chi-square distribution table with 5 degrees of freedom and a significance level of 0.01, we find it to be approximately 15.086.

Since the calculated chi-square value (4.467) is less than the critical chi-square value (15.086), we fail to reject the null hypothesis.

Therefore, we do not have sufficient evidence to conclude that the die is not balanced at a 0.01 level of significance.

Thus,

Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

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Answer:

1) the types of number are the negative integers (e.g √-1 √-3 √-5 are not defined)

2) the answer is No, proof:  2x√-1 is not defined because √-1 doesn't exist

3) the answer is No, proof:  √-1 - 3 is not defined because √-1 doesn't exist

4) the answer is Yes, proof: (√-1 )²=  -1 this is a real number

5) the answer is No, proof:  (√-1 )^3=  (√-1 )²(√-1 )= - 1(√-1 ), and - 1(√-1 ) is not defined because √-1 doesn't exist

6) the result would be defined with the following cases:

   √-1+n,  n>1

    √-1xn,  n<0

    √-1/n,   n<0

7) the result would not be defined with the following cases:

  √-1+n,  n<0

    √-1xn,  n>0

    √-1/n,   n>0

8) to square 3 + √-1, I use the method of complex number

 i²= -1, it implies i= √-1

 so 3+√-1=3+i,  and then (3+√-1)²=(3+i)²= 9 -1+6i= 8-i= 8-√-1

9) it is used for finding complex roots of a number

Step-by-step explanation:

The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

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The circles with numbers with no consecutive numbers between the circle joined by a line segment are given as

1 - 3 - 5

|          |

7        8

|          |
2 - 4 - 6

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Numbers:

1 to 8.

Now,

1 - 3 - 5

|          |

7        8

|          |
2 - 4 - 6

Thus,

The circle has numbers where no consecutive circles are having consecutive numbers joined by a line segment.

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Answer:

See below

Step-by-step explanation:

This is a hard to explain without showing you, if it does not make sense it is not you, it is just hard to explain without showing you.

Answer:

3x + 10y + 5 (you're answer needs to be 20 characters long )

The number of dimes students has is 12 dimes.

We are given that;

Ratio= 2:3

Cost= $1.60

This is a question that can be solved using a system of linear equations. Let x be the number of nickels and y be the number of dimes. Then we have:

0.05x+0.10y=1.60

for the total amount of money, and

yx​=32​

for the ratio of nickels to dimes. To solve this system, we can use the substitution method. First, we isolate x in the second equation:

x=32​y

Then we substitute this expression for x in the first equation:

0.05(32​y)+0.10y=1.60

Simplifying, we get:

301​y+101​y=1.60

Adding the fractions, we get:

304​y=1.60

Multiplying both sides by 30, we get:

4y=48

Dividing both sides by 4, we get:

y=12

The student has 12 dimes.

Therefore, by the given ratio the answer will 12 dimes.

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The time necessary for the cell cycle for cancerous cells is significantly shorter compared to normal cells.

This implies that cancerous cells reproduce faster and therefore are able to spread more quickly. Doctors should be aware of this accelerated process so that they can provide more effective treatment options to their patients.

Explanation: In Model 1, the length of the arrow represents the time necessary for a cell to complete its cell cycle. For cancerous cells, the cell cycle is significantly shorter compared to normal cells.

This implies that cancerous cells can reproduce more quickly, and therefore spread more quickly. It is important for doctors to be aware of this so that they can make more informed decisions when it comes to treating cancer patients.

They should have an understanding of the accelerated process of cancerous cells, and use this to create better treatment plans for their patients.

This may include more aggressive methods of treatment such as chemotherapy and radiation, in order to try and stop the rapid spread of cancerous cells.

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Given f(x)=2−∣x−5∣

Domain of f(x) is defined for all real values of x.

Since, ∣x−5∣≥0⟹−∣x−5∣≤0

⟹2−∣x−5∣≤2⟹f(x)≤2

Hence, range of f(x) is (−∞,2].

The domain of the function  y= 2√x-6 is [6, ∞).

A relation is a function if it has only One y-value for each x-value.

In the given function, we have a square root of x-6 which means that the value inside the square root must be non-negative, otherwise the function will not be real.

Therefore, we have x - 6 ≥ 0

Adding 6 to both sides, we get:

x ≥ 6

So, the domain of the function y = 2√(x-6) is all real numbers greater than or equal to 6.

In interval notation, we can write the domain as:

Domain: [6, ∞)

Hence, the domain of the function  y= 2√x-6 is [6, ∞).

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The measure of side AC is approximately 366.9 inches.

A triangle is a geometric shape that consists of three straight sides and three angles. It is one of the basic shapes in geometry and is often studied as a fundamental building block in mathematics, engineering, and physics. Triangles have several important properties, including:

The sum of the angles in a triangle is always 180 degrees.

The longest side of a triangle is opposite to the largest angle, and the shortest side is opposite to the smallest angle.

The area of a triangle can be calculated using the formula: area = 1/2 x base x height, where the base is one of the sides and the height is the perpendicular distance from the base to the opposite vertex.

Triangles can be classified based on the length of their sides and the measure of their angles. For example, a triangle with all three sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle.

To find the measure of side AC, which is denoted by "b", we can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles. Specifically, the Law of Cosines states that:

c² = a² + b² - 2ab cos(C)

where "a" and "b" are the lengths of the other two sides of the triangle, and "C" is the angle opposite to side "c".

In this case, we know that side AB has length "c" (290 inches), and side AC is denoted by "b". We also know that the angle opposite to side AB has measure 42 degrees. Therefore, we can write:

c² = a² + b² - 2ab cos(C)

290² = a² + b² - 2ab cos(42)

Simplifying this equation and solving for b, we get:

b² - 2ab cos(42) + (290² - a²) = 0

This is a quadratic equation in "b", which we can solve using the quadratic formula:

b = [2a cos(42) ± √((2a cos(42))² - 4(290² - a²)]/2

Simplifying this expression, we get:

b = a cos(42) ± √(a² cos²(42) - (290² - a²))

We don't know the value of "a", so we cannot find the exact value of "b". However, we can use the fact that "b" is a length of a triangle, so it must be positive. Therefore, we can discard the negative square root, and we get:

b = a cos(42) + sqrt(a² cos²(42) - (290² - a²))

Since "b" is positive, we can set the expression inside the square root to zero and solve for "a":

a² cos²(42) - (290² - a²) = 0

Simplifying and solving for "a", we get:

a = 290/sin(42)

Substituting this value of "a" back into the equation for "b", we get:

b = (290/sin(42)) cos(42) + sqrt((290/sin(42))² cos²(42) - 290² + (290/sin(42))²)

Simplifying this expression, we get:

b ≈ 366.9 inches

Therefore, the measure of side AC is approximately 366.9 inches.

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35/864 is the probability that the same color is recorded both times .

How does probability explain work?

7/12*1/2 = 7/24

red marbles =  5/12*1/3 ⇒ 5/36

the probability =  7/24*5/36 ⇒ 35/864

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