PLEASE HELPP! Its really important

Answer:

N=3

Explanation:

Look at image below

Answer:

The answer is 4√3

The measure of the longer side is equal to 4√3

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given here breadth = 4 and diagonal = 8 and we know that rectangle has all four right angles

Thus, using the Pythagoras theorem we get

length = \(\sqrt{8^{2}-4^{2} }\)

          = \(\sqrt{64-16}\)

          = \(\sqrt{48}\)

          =4 \(\sqrt{3}\)

Hence the length of the longer side is  4√3

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Answer:  ruler cost $12

Step-by-step explanation:

step 1

Let cost of ruler  be represented as r

and cost of pencil be represented as p

we were given that

4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as

4r + p = 2r+ 4p

and cost of pencil= $8

therefore

sTEP 2--- Solving

4r+ 8 = 2r+ 4 x8

4r+ 8 = 2r+ 32

4r - 2r= 32-8

2r= 24

r= 24/2 = r= $12

The graph of g(x) is the graph of f(x) stretched vertically and reflected over the axis.

The correct option is C.

We can compare the graphs of two functions f(x)=x² and g(x)=-2/3 x² by determining their vertices, domain, range, axis of symmetry, and shape of the graphs. The vertex of f(x)=x² is at the origin (0,0), which means that the parabola opens upward and is symmetrical around the y-axis.

The domain is all real numbers, and the range is y≥0. The axis of symmetry is the y-axis. On the other hand, the vertex of g(x)=-2/3 x² is also at the origin, and it opens downward. It is also symmetrical around the y-axis. The domain is all real numbers, and the range is y≤0.

The axis of symmetry is the y-axis, just like f(x).It is important to remember that g(x) is the negative of f(x), which indicates that g(x) is reflected across the x-axis. Furthermore, the stretch factor is 2/3, which makes the graph of g(x) flatter than the graph of f(x) and it is  stretched vertically and reflects over x axis(option c).

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Answer:

The Right answer is True

We conclude: that the parents will get a fairly accurate estimate of his height at age 21 years because the data are clearly correlated.

The correct option is:  such a prediction could be misleading, since it involves extrapolation.

We find the regression equation has positive slope and for a new born child height is intercept

H = 0.3739A + 20.4595

is the relation between height and age.

When we find 252 months this is very far from the age we have considered and hence:

A = 252

H = 0.3739(252) + 20.4595

H = 114.6823

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The given question is incomplete, complete question is:

John's parents recorded his height at various ages up to 66 months. Below is a record of

the results.

Age (months) 36 48 54 60 66

Height(months) 35 38 41 43 45

John's parents decide to use the least-squares regression line of John's height on age

based on the data in the previous problem to predict his height at age 21 years (252

months). We conclude

A) John's height, in inches, should be about half his age, in months.

B) The parents will get a fairly accurate estimate of his height at age 21 years, since

the data are clearly correlated.

C) such a prediction could be misleading, since it involves extrapolation.

D) all of the above.

The required distance covered by the car in 90 seconds is 0.252 miles.

Speed is characterized as. The pace of progress of position of an item toward any path. Speed is estimated as the proportion of distance to the time in which the distance was covered. Speed is a scalar amount as it has just bearing and no size.

Speed = Distance traveled from point one point to other divided by the time taken.

Speed = distance/time

We have,

Speed = 10 miles/hour =  0.002 miles/second

Time = 1 minute and 30 seconds = 90 seconds  ∴( 1 minute = 60 seconds)

To find distance cover in 90 seconds,

Using above formula,

Speed = distance/time

0.0028 = distance/90

Distance = 0.0028(90) = 0.252 miles

Thus, Car cover 0.252 miles in 90 seconds.

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Answer:

The length of side b is 80.

Yes, it is appropriate to compute the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm.

With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.

As the sample size is sufficient (440000) and the standard deviation is known, it is appropriate to use a normal distribution to estimate the distribution of ladybug lengths. A 1.5 cm long ladybug's z-score can be calculated as follows:

z = (1.5 - 1) / 0.2 = 2.5

We can calculate the likelihood of a z-score being greater than 2.5 using a conventional normal distribution table to be roughly 0.0062. Hence, the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm is around 0.0062 or 0.62%.

Therefore, the correct answer is option d. Yes. Clear my choice.

The complete question is;

American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:

a. No, because the population distribution is skewed.

b. No, because the sample size is less than 30.

c. No, because the empirical rule is violated.

d. Yes. Clear my choice

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Answer:

The common factor of all the terms of the polynomial 16x² - 14x is:

2x

Step-by-step explanation:

We are given a polynomial:

16x²-14x

We have to find the common factor of all terms.

First we factorize each term separately and then see the common factor.

16x²=2×2×2×2×x×x

14x=2×7×x

We observe that the common factor is:

2x

Hence,  the common factor of all the terms of the polynomial 16x² - 14x is:

2x

Answer:

2x

Step-by-step explanation:

16 = 2^4

14 = 2 × 7

Common factor of 16 and 14 is 2.

x² = x × x

x = x

Common factor of x² and x is x

The common factor of the two terms is 2x.

Answer:

82.25%

Step-by-step explanation:

To calculate the probability that you are not one of the first two singers in a karaoke contest with 22 contestants, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The number of favorable outcomes is the number of possible positions for you in the singing order after the first two positions are taken. Since the first two positions are fixed, there are 22 - 2 = 20 remaining positions available for you.

The total number of possible outcomes is the total number of ways to arrange all 22 contestants in the singing order, which is given by the factorial of 22 (denoted as 22!).

Therefore, the probability can be calculated as follows:

Probability = Number of favorable outcomes / Total number of possible outcomes

Number of favorable outcomes = 20! (arranging the remaining 20 positions for you)

Total number of possible outcomes = 22!

Probability = 20! / 22!

Now, let's calculate the probability using this formula:

Probability = (20 * 19 * 18 * ... * 3 * 2 * 1) / (22 * 21 * 20 * ... * 3 * 2 * 1)

Simplifying this expression, we find:

Probability = (20 * 19) / (22 * 21) = 380 / 462 ≈ 0.8225

Therefore, the probability that you are not one of the first two singers in the karaoke contest is approximately 0.8225 or 82.25%.

To calculate the probability that you are not one of the first two singers, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Since the singing order for the 22 contestants is randomly selected, the total number of possible outcomes is the number of ways to arrange all 22 contestants, which is given by 22!

Number of favorable outcomes:

To calculate the number of favorable outcomes, we consider that there are 20 remaining spots available after the first two singers have been chosen. The remaining 20 contestants can be arranged in 20! ways.

Therefore, the number of favorable outcomes is 20!

Now, let's calculate the probability:

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 20! / 22!

To simplify this expression, we can cancel out common factors:

Probability = (20!)/(22×21×20!) = 1/ (22×21) = 1/462

Therefore, the probability that you are not one of the first two singers in the karaoke contest is 1/462.

In the Shang Dynasty, the levels of society had varying levels of wealth. The ruling elite, including the royal family and high-ranking nobles, possessed significant wealth and power, while the commoners and lower classes had less access to resources and economic opportunities.

The Shang Dynasty in ancient China had a hierarchical social structure where wealth and resources were concentrated in the hands of the ruling elite. The royal family and high-ranking nobles occupied the top positions in society and enjoyed considerable wealth and privileges. They owned vast lands, controlled resources such as bronze and jade, and had access to luxury goods.

In contrast, the commoners and lower classes had limited economic resources. They mostly engaged in agricultural activities, working as farmers or laborers. They had less access to land, resources, and opportunities for upward mobility. Their wealth was modest, and their standard of living was generally lower compared to the ruling elite.

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Answer:

-2, 9

Step-by-step explanation:

Based on the ratio, Anders uses 72.73g of sugar, 145.46g of butter, and 581.84g of flour to make his scones.

Anders makes scones using the ratio 1:2:8 for sugar, butter, and flour respectively. This means that for every 1 gram of sugar, he uses 2 grams of butter and 8 grams of flour.

To find out how much of each ingredient he uses, we can use the following steps:

1. Add the ratios together: 1 + 2 + 8 = 11

2. Divide the total amount of ingredients by the sum of the ratios: 100 + 300 + 400 = 800 / 11 = 72.73

3. Multiply each ratio by the result from step 2 to find the amount of each ingredient:

Sugar: 1 x 72.73 = 72.73g

Butter: 2 x 72.73 = 145.46g

Flour: 8 x 72.73 = 581.84g

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Answer:

The solution to the equation is (1.6, -1.6)

Step-by-step explanation:

When you plot the equations on a graph, they intecept at 1.6 and -1.6.

The features of the relation are given as follows:

1. Independent variable: number of weeks.

2. Dependent variable: money saved.

3. Yes, the relationship is linear.

4. The slope is of 40.

5. The domain is: {0, 1, 2, 3, 4, 5, 6, 7}.

6. The range is: {50, 90, 130, 170, 210, 250, 290, 330}.

7. The y-intercept is of $50.

8. The table has no x-intercept.

The output variable is a function of the input, hence the output is the dependent variable and the input is the independent variable.

The input and the output in this problem are given as follows:

In a linear relation, the rate of change of the output relative to the input is constant, and is called slope.

In the context of this problem, the money saved has a constant increase of $40 each week, hence:

The domain is the set containing the input values of the function, hence the number of weeks, as follows:

{0, 1, 2, 3, 4, 5, 6, 7}.

The range is the set containing the output values of the function, hence the money saved, as follows:

{50, 90, 130, 170, 210, 250, 290, 330}.

The y-intercept is the value of y when x = 0, hence, from the table, it is of:

y = 50.

The x-intercept is the value of x when y = 0. From the given table, y never assumes a value of 0, hence the function has no x-intercept.

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a) Counterexample: \(m\angle{P}=90^{\circ}, m\angle{Q}=45^{\circ}, m\angle{R}=45^{\circ},\)

b) Counterexample:\(m\angle{1}=45^{\circ}, m\angle{2}=45^{\circ},\)

c) Counterexample:  length=16, width=4

d) Counter example:  angle ABD= 50 degree, angle CBD=10 degree

What is the interior?

Something's interior or related to its interior; inward.

a) An acute angle is one that measures less than 90 degrees.

Counterexample: \(m\angle{P}=90^{\circ}, m\angle{Q}=45^{\circ}, m\angle{R}=45^{\circ},\)

(90 degrees is not an acute angle)

b) When the sum of two angles is 90°, then the angles are known as complementary angles

Counterexample:\(m\angle{1}=45^{\circ}, m\angle{2}=45^{\circ},\)

( None of the angles is greater than 45 degrees )

c) Area of rectangle = length*width=16*4

Counterexample:  length=16, width=4

d)  Since C is the interior of the angle ABD, then, angle ABD+angle CBD=60 degrees

Counterexample:  angle ABD= 50 degree, angle CBD=10 degree

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Ryan rides his bike for 30 minutes and travels a distance of 4 miles. He was traveling 8 miles per hours.

Ryan rides his bike for 30 minutes and travels a distance of 4 miles.

We have to determine how fast he was traveling.

Time = 30 minutes

First we convert the minutes in hours.

As we know that;

1 hour = 60 minutes.

So 1 minute = 1/60 hours

30 minutes = 30/60 hours

30 minutes = 1/2 hours

Distance = 4 miles

The formula of speed is;

Speed = Distance/Time

Speed = 4/(1/2) miles per hours

Speed = 4 × 2 miles per hours

Speed = 8 miles per hours

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The area of the trapezoid  = 40.2

The terms "trapezoid" and "quadrilateral" both refer to quadrilaterals that have at least one set of parallel sides. A trapezoid is known as a trapezium in British and other varieties of English. Because of a typo in Charles Hutton's mathematical lexicon, these two terms were transposed.

The bases of trapezoid ABCD are line AB and line CD. We are given that AB < CD, CD = 8, AD = BC = 7, and BD = 9.

c² = a² + b² - 2.a.b.cosY

- 2 .a . b. cosY = c²- a² - b²

2 .a . b. cosY = c²+ a² + b²

We know that :

\(\cos \gamma=\frac{a^{2}+b^{2}-c^{2}}{2 \cdot a \cdot b}\)

a = DC= 8

b = CB = 7

c = BD = 9.

putting values in formula:

\(\cos \gamma=\frac{\overline{D C}^{2}+\overline{C B}^{2}-\overline{B D}^{2}}{2 \cdot \overline{D C} \cdot \overline{C B}}\)

cosY = (8² + 7² - 9 ²)/2 . 8. 9

cosY = 0.28571

\(\gamma \approx 73,4^{\circ} \quad \delta \approx 73,4^{\circ}\)

σ = β = 180 - 73.4

= 106.6

sinY = BE/CB

BE = 7.sinY73.4

BE = 6.7

applying the formula :

\((E C)^{2}=(\overline{C B})^{2}-(\overline{B E})^{2}\)

(EC) = (7)²- (6.7)²

EC = √(49 - 44.89)

     = 2

AB = DC - 2*EC

     = 8 - 4

    = 4

According to the formula putting values:

\(\begin{aligned}&A=\frac{a+c}{2} \cdot h \\&A=\frac{\overline{D C}+\overline{A B}}{2} \cdot \overline{B E}\end{aligned}\)

A = ((8 + 4)/2) *6.7

A = 40.2

the area of the trapezoid  = 40.2

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I understand that the question you are looking for is :

The bases of trapezoid ABCD are line AB and line CD. We are given that AB < CD, CD = 8, AD = BC = 7, and BD = 9. Find the area of the trapezoid.

i mage is given below

The data shows a person from regions such as Northern Europe, Middle East 2, and East Africa will have a high dairy tolerance.

This is characterized by unpleasant symptoms when the body doesn't produce enough lactase to digest the lactose consumed.

From the data, the regions which shows high dairy tolerance are those from Northern Europe, Middle East 2, and East Africa.

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Answer:

non linear. cause the equation of a linear function is given by y = mx+c

Answer: \(1.47*10^4\)

\(8.3*10^{-4}\)

\(7.6*10^8\)

\(3.8*10^{-2}\)

\(3.8*10^{-1}\)

\(3.8*10^0\)

\(3.8*10^{12}\)

\(9.0*10^{-10}\)

Step-by-step explanation:

Scientific notation is a way of expressing numbers that are too large or too small.

To figure out the power of 10, think "how many places do I move the decimal point?"

1. When the number is 10 or greater, the decimal point has to move to the left, and the power of 10 is positive.

2. When the number is smaller than 1, the decimal point has to move to the right, so the power of 10 is negative.

Answer:

Total distance = 30.3 units

Step-by-step explanation:

Coordinates for the location of Alanah, Mia, Teresa and Arena are,

Alanah → (2, 8)

Mia → (8, 16)

Teresa → (8, 2)

Arena → (14, 4)

Distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by the formula,

d = \(\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

Distance between Alanah and Mia = \(\sqrt{(16-8)^2+(8-2)^2}\)

                                                          = \(\sqrt{100}\)

                                                          = 10 units

Distance between Mia and Teresa = \(\sqrt{(16-2)^2+(8-8)^2}\)

                                                          = 14 units

Distance between Teresa and Arena = \(\sqrt{(4-2)^2+(14-8)^2}\)

                                                              = \(\sqrt{40}\)

                                                              = 6.3 units

Total distance of Alanah's trip to Arena = 10 + 14 + 6.3

                                                                  = 30.3 units

Answer:

1. Find the distance from Alanah's house to Mia's house. Show your work.  

Alanah (2,8)  Mia (8,16)    √( (8 - 2)² + (16 - 8)² ) = 10    Distance from Alanah to Mia is 10 units

2. What is the distance from Mia's house to Teresa's house? Explain how you found this distance. Write your answer in the space below. √( (8 - 8)­² + (2 - 16)² ) = 14    distance from Mia to Teresa is 14 units  

3. Find the distance from Teresa's house to the arena. Show your work.  

Write your answer in the space below. √( (14 - 8)² + (4 - 2)² ) = 6.3 ≈ 6    

4. What is the total distance of Alanah's trip to the arena?  

Write your answer in the space below. 10 + 14 + 6 = 30    30 units is the total distance of the trip  

Step-by-step explanation:

Answer:

The annual percent increase in this model is 67%.

Step-by-step explanation:

The given function Y = 4.56(1.67)^x represents an exponential growth model, where x represents the number of years and Y is the value after x years. The base of the exponent, 1.67, represents the growth factor.

To find the annual percent increase, we can convert the growth factor to a percentage increase. Subtract 1 from the growth factor and multiply the result by 100:

(1.67 - 1) * 100 = 0.67 * 100 = 67%

So, the annual percent increase in this model is 67%.

Answer:

Image of A(0,4) --------A'(0,-4)

Image of B(0,-2)--------B'(0,2)

Image of C(2,0)---------C'(2,0)

The standard error of the sample mean is 1.21.

Given;

Suppose a diet regimen for men results in an average weight loss of between 13. 4 and 18. 3 pounds, according to a 95% confidence interval. These findings were based on a group of 42 men who were classified as overweight at the beginning of the four-month trial.

A 95% confidence interval for a population mean is (13.4, 18.3)

Upper limit = 18.3

Lower limit = 13.4

Since population SD is unknown, this interval is constructed using the t distribution.

n = 42

c = 0.95

∴ α = 1 - c = 1 - 0.95 = 0.05

α/2 = 0.025

Also, d.f = n - 1 = 42 - 1 = 41

∴ ta/2.d.f =  ta/2.n-1  =  t0.025,41  =  2.02 . . . . use t table

Now,

The margin of error = (Upper limit - Lower limit)/2

                                 = (18.3 - 13.4)/2

                                 = 2.45

But,

Margin of error = ta/2.d.f-  * (s / \sqrt{} n)

Margin of error = ta/2.d.f-  * Standard error

2.45 = 2.02 * Standard error

Standard error = 1.2129

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A quadratic equation is a polynomial equation of degree 2, which means the highest power of the variable is 2. It is generally written in the form: ax^2 + bx + c = 0. Option (d) x = -8, x = 8 is the correct answer.

The given equation is 15x^2 - 56 = 88 - 6x^2.

We need to find the values of x that are solutions to the given equation.

Solution: We are given an equation 15x² - 56 = 88 - 6x².

Rearrange the equation to form a quadratic equation in standard form as follows: 15x² + 6x² = 88 + 56  21x² = 144  

x² = 144/21 = 48/7

Therefore x = ±sqrt(48/7) = ±(4/7)*sqrt(21).

The values of x that are solutions to the given equation are x = -4/7 sqrt(21) and x = 4/7 sqrt(21).

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The given equation is 15x² - 56 = 88 - 6x². Values of x are solutions to the equation below 15x² - 56 = 88 - 6x² are x = -2.62, 2.62 or x ≈ -2.62, 2.62.

Firstly, let's add 6x² to both sides of the equation as shown below.

15x² - 56 + 6x² = 88

15x² + 6x² - 56 = 88

Simplify as shown below.

21x² = 88 + 56

21x² = 144

Now let's divide both sides by 21 as shown below.

x² = 144/21

x² = 6.86

Now we need to solve for x.

To solve for x we need to take the square root of both sides.

Therefore, x = ±√(6.86).

Therefore, the values of x are solutions to the equation below are x = -2.62, 2.62 or x ≈ -2.62, 2.62.

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The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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Answer:

(0+a)/2 , (0+a)/2

= (a/2, a/2)

Answered by GAUTHMATH