If g(x) = x2 + 2, find g(3

At the 0.10 level of significance, the evidence is insufficient to disprove the assertion that the proportion is 48%.

Based on the given conditions,

The analyst or researcher establishes a null hypothesis based on the research question or problem that they are trying to answer. Depending on the question, the null may be identified differently. For example, if the question is simply whether an effect exists (e.g., does X influence Y?) the null hypothesis could be H0: X = 0. If the question is instead, is X the same as Y, the H0 would be X = Y. If it is that the effect of X on Y is positive, H0 would be X > 0. If the resulting analysis shows an effect that is statistically significantly different from zero, the null can be rejected.

Let's start by outlining the research's null and alternate hypotheses;

A newsletter publisher believes that 60`% of their readers own a Rolls Royce.

This means that the null hypothesis is:

H0: p = 0.48

That is, that the proportion of their readers who own a Rolls Royce is of 0.48.

A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim.

The alternate hypothesis is:

Ha: p ≠ 0.48

Now that he fails to disprove the null hypothesis based on the evidence, we will draw the following conclusion:

Therefore,

At the 0.10 level of significance, the evidence is insufficient to disprove the assertion that the proportion is 48%.

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Answer:

-13

Step-by-step explanation:

Well, they do most of the work for you all you have to figure out is what is "1/5(-65)". To do this you have to turn 1/5 into a decimal so 1 divided by 5 which equals 0.2 then multiply that by -65. That will give you your simplified answer of -13.

Answer:

a) Center is (0,0) and radius r = 5

b) Center is (0,0) and radius r = 1

d) Center is (5,3) and radius r = 9

e Center is (-2,1) and radius r = 3

g) Center is (-1,-3) and radius r = 7

h) Center is (0,0) and radius r = 2.5

Step-by-step explanation:

a)

Given circle  x² + y² = 25

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

Center is (0,0) and radius r = 5

b)

Given circle  x² + y² = 1

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

Center is (0,0) and radius r = 1

d)

Given circle  (x-5)² + (y-3)² = 81

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

                   (x-5)² + (y-3)² = 9²

Center is (5,3) and radius r = 9

e)

Given circle  (x+2)² + (y+1)² = 9

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

                  (x+2)² + (y+1)² = 3²

Center is (-2,-1) and radius r = 3

g)

Given circle  (x+1)² + (y+3)² = 49

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

                  (x+1)² + (y+3)² = 7²

Center is (-1,-3) and radius r = 7

h)

Given circle  x² + y² = 6.25

The standard form of circle equation is

                   ( x-h)² +(y-0)² = r²

   Given circle  x² + y² = (2.5)²

Center is (0,0) and radius r = 2.5

Work Shown:

r = 6 = radius

V = volume of a sphere of radius r

V = (4/3)*pi*r^3

V = (4/3)*pi*6^3

V = 904.77868423386

V = 904.8

I used my calculator's stored version of pi (instead of something like pi = 3.14)

The units "cubic meters" can be abbreviated to m^3 or \(m^3\)

The volume of the given sphere is 904.8 cubic meters. Thus, option B is the answer.

         The volume of a sphere can be calculated using the formula:

V = \(4/3 * \pi * r^3\),

Where V is the volume and r is the radius of the sphere.

\(\pi\) = 3.14

The radius of the sphere (r) = 6m

Plugging in the given radius of 6m into the formula, we get:

V = (4/3) * \(\pi\) * (6^3)

V = 1.333 * \(\pi\) * 216

V = 1.333 * 3.14 * 216

V = 4.1866 * 216

V = 904.8 cubic meters

Therefore, when the radius of the sphere is 6m, the volume of the sphere is 904.8  cubic meters.

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Given: A = 56°, c = 25.8, and C = 90° for a right triangle ABC.

Step 1: Finding angle B

Using the fact that the sum of the angles of a triangle is 180°:

A + B + C = 180°

Substituting the given values:

56° + B + 90° = 180°

Simplifying:

B = 180° - 146°

B = 34°

Step 2: Finding the lengths of sides a and b

Using the sine function:

a/sin(A) = c/sin(C)

Substituting the given values:

a/sin(56°) = 25.8/sin(90°)

Simplifying:

a = 25.8 * sin(56°)/sin(90°)

Calculating:

a ≈ 21.1 (rounded to the nearest tenth)

Similarly:

b/sin(B) = c/sin(C)

Substituting the given values:

b/sin(34°) = 25.8/sin(90°)

Simplifying:

b = 25.8 * sin(34°)/sin(90°)

b ≈ 14.9 (rounded to the nearest tenth)

Step 3: Finalizing the results

Therefore, we have:

Angle A = 56°

Angle B = 34°

Angle C = 90°

Side a ≈ 21.1 units

Side b ≈ 14.9 units

The measures of angles A, B, and C in the right triangle ABC are 56°, 34°, and 90°, respectively.

The lengths of sides a and b are approximately 21.1 units and 14.9 units, respectively.

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Answer:

cost of admission for each child was $4.00, and each adult was $25.33

Step-by-step explanation:

When solving questions like these , I like to break down the problem so I understand it better.

Let x ---> cost of the admission for each child

Y ---------> cost of the admission for each adult

9x+3y = 112 ---> equation A

8x + 3y = 108 ---> equation B

Subtract B from A

9x+3y=112

-8x+3y = 108

x = 112-108

x = 4

Find value of y by substituting value of x into equation

9(4)+3y=112

Solve for y

36+3y = 112

3y = 112=36

3y = 76

y = 25.33

y = 75x - 450 represents the number of customers served per hour where y is the number of customers served and x is the number of hours.

The point-slope form of a linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

To find the equation representing the number of customers served per hour, we can first find the slope of the line by using the information given. The slope of a line is the change in y over the change in x.

In 8 hours, the restaurant serves 600 customers and in 12 hours, 900 customers. Therefore, the change in y is 900 - 600 = 300 and the change in x is 12 - 8 = 4. The slope of the line is 300/4 = 75.

We also know that the restaurant serves 600 customers in 8 hours. This means that when x = 8, y = 600.

Using this information, we can write the equation in point-slope form:

y - 600 = 75(x - 8)

So the equation of the line representing the number of customers served per hour is:

y = 75x - 450

Where y is the number of customers served and x is the number of hours.

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Answer:

y = − 5 x − 21

Step-by-step explanation:

Use the point slope formula y − y 1 = m ( x − x 1 )   to find the parallel line.

Answer:

42

Step-by-step explanation:

5²+3(2)+5+6

25+6+5+6

31+11

42

Hope it helps

Answer:

2.275%

Step-by-step explanation:

z = (x-μ)/σ, where

x is the raw score = 14.9 ft

μ is the population mean = 12.5 ft

σ is the population standard deviation = 1.2 ft

We are to find the percentage of the apple trees are taller than 14.9 ft,

This means x > 14.9, x greater than 14.9

Hence,

z = (14.9 - 12.5)/1.2

z = 2

Probability value from Z-Table:

P(x<14.9) = 0.97725

P(x>14.9) = 1 - P(x<14.9) = 0.02275

Converting to Percentage

= 0.02275 × 100

= 2.275%

Therefore, the percentage of the apple trees that are taller than 14.9 ft is 2.275%

Answer:

My answer to your question is a "No".

We can know that a and b are the same numbers. If we multiply the same number on each side, the answer will be the same. However, x and y have different values. So, it will show differently.

Let's have an example:

It we say a = 5, x = 6, y = 7.

We know a and b are the same number so, both a and b will be 5. If we multiply a by x, it will be 5 x 6 which is 30. It will show the same answer on multiplying b because as you said a and b are the same. The equation will be 5(a) x 6(x) = 5(b) x 6(x) Let's look at multiplying y. If we multiply a by y, it will be 5 x 7 which is 35. As you said it will show the same answer on multiplying b because a and b are the same. The equation for this will be 5(a) x 7(y) = 5(b) = 7(y). Finally, let's compare the two equations.

5(a) x 6(x) = 5(b) x 6(x) -> 30 = 30

5(a) x 7(y) = 5(b) = 7(y) -> 35 = 35

You can see it more clearly when we compare those to the equations that I made.

Thank you

Yes, if a = b, then ax = bx and ay = by for any value of x.

This is because the equation a = b implies that a and b are equal in value, so any expression involving a can be replaced with an equivalent expression involving b. In other words, any operation performed on a can be performed on b and produce the same result.

For example, if a = b, then multiplying both sides of the equation by x yields ax = bx, and multiplying both sides of the equation by y yields ay = by. This means that any power, root, logarithm, or other mathematical operation performed on a can also be performed on b and produce the same result.

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Answer:

x = 12

Step-by-step explanation:

67+42+6x-1=180

108+6x=180

6x=72

x=12

Answer:

The question is y/4= -7

So we will have to criss-cross it, so that x could be alone

When we criss-cross it we multiply

So,

y=4×-7

y=-28

Step-by-step explanation:

I explained my best, please give me brainliest

Answer:

1/5

Step-by-step explanation:

It takes the second marathoner 4 hours and 40 minutes to complete the marathon.

Let's assume the distance of the marathon is "d" miles.

The first marathoner runs at a constant speed for 4 hours, so we can find their speed as:

speed = distance / time = d / 4

The second marathoner starts by running at 4 times the speed of the first marathoner, so their speed is:

speed = 4(d / 4) = d

For the second half of the race, the second marathoner's speed drops to 3/4 of the first marathoner's speed. Let's assume it takes "t" hours for the second marathoner to complete the second half of the race. Then, we can write:

d / 2 = (3/4)(d / 4)(t)

Simplifying this equation, we get:

t = (2/3) hours

So the total time it takes the second marathoner to finish the race is:

4 + (2/3) = 4 2/3 hours = 4 hours and 40 minutes.

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Answer:

B

Step-by-step explanation:

Y=MX+C , where y=slope intercept, m=gradient and C=y-intercept

-5=6(-6)+c

-5=-36+c

-5+36=c

C=31

Hence,

y=MX+c

y=6x+31

it may be permissible to proceed with a hypothesis test even if the assumption of random participant selection is violated, under the conditions of known and accounted for non-random selection or random assignment to treatment groups

Random participant selection is an important assumption in hypothesis testing, as it helps ensure the generalizability of the results to the target population. However, in some situations, it may be impractical or impossible to achieve perfect random selection. In such cases, there are a few conditions under which it may still be permissible to proceed with a hypothesis test despite the violation of this assumption:

Non-random selection is known and accounted for: If the non-random selection process is well-documented and understood, researchers can adjust their analysis or statistical methods to account for potential biases introduced by the non-random selection.

Random assignment to treatment groups: Even if participants are not randomly selected, random assignment to different treatment groups can help mitigate the impact of non-random selection. By randomly assigning participants to treatment groups, the effects of non-random selection are distributed evenly across the groups, allowing for valid comparisons and hypothesis testing.

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Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.

In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.

Here,

In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.

As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.

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The measure of the angle BCD is 60 degrees.

Ok, remember that the sum of the interior angles of a triangle is always equal to 180°.

And we can write the top angle at C as:

(5x + 10) + C = 180°

C = 180 - 5x - 10

Then the sum of the interior angles gives:

3x + 3x + (180 - 5x - 10) = 180

Now we can solve that for x to get:

6x -5x - 10 = 180 - 180

x - 10 = 0

x = 10

Then the measure of BCD is:

BCD = 5x + 10

BCD = 5*10 + 10 = 60

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Answer: 9

Step-by-step explanation:

Answer:

he's a total of 9 feet under the water

Step-by-step explanation:

Step-by-step explanation:

\(5x + 15 \leqslant - 10 \\ 5x \leqslant - 10 - 15 \\ 5x \leqslant - 25 \\ x \leqslant - 25 \div 5 \\ x \leqslant - 5\)

Answer:18

Step-by-step explanation:

Answer:

C. 16

Explanation:

\(\rightarrow \sf \dfrac{9}{4} = \dfrac{x+2}{8}\)

cross multiply

\(\rightarrow \sf \dfrac{9(8)}{4} = x + 2\)

simplify integers

\(\rightarrow \sf 18 = x + 2\)

exchange sides

\(\rightarrow \sf x =18-2\)

subtract integers

\(\rightarrow \sf x =16\)

Quadratic Equations in Single Variable

n²-3n+10=0

2x²+2x+1=0

25b²-16=0

f²-3f+2=0

1/3m +2m=4

a²=225

Linear Equation in single Variable

8-3k=12

5w+5=0

10u-5=8

Linear Equation in Two  Variable

2y-z=9

3r+2e=6

d=3e-7

It should be noted that an equation simply means the expression that's used to show the relationship between the variables.

In this case, the equation has been grouped.

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Group the given equations into two based on observed common properties.

Equations

n²-3n+10=0

8-3k=12

2y-z=9

2x²+2x+1=0

25b²-16=0

3r+2e=6

5w+5=0

f²-3f+2=0

d=3e-7

1/3m +2m=4

10u-5=8

a²=225

The interest rate when the person loaned the money for the bike is 169%.

It should be noted that based on the information, the pawnbroker loans you $512 and three month later, you get the bike back by paying the pawnbroker $729.

Interest = $729 - $512 = $217

Time = 3 months = 3/12 = 0.25 years

Principal = $512

It should be noted that Interest = PRT / 100

We will slot in the values

217 = (512 × R × 0.25)/100

Cross multiply.

21700 = 128R

R = 21700 / 128

R = 169%

Therefore, the interest rate when the person loaned the money for the bike is 169%.

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By using a graphing calculator to plot these equations, we can locate the solutions. The first solution of the system of equations is (1, -1), and a second solution is (-7, -1).

To find the solutions of the system of equations, we can use a graphing calculator to plot the equations and determine the points of intersection. The first equation, y = (x – 2)² – 15 – 5x, is a quadratic equation, while the second equation, y = –1, is a linear equation representing a horizontal line.

When we graph these equations, we observe that the quadratic equation represents a downward-opening parabola, and the line y = -1 represents a horizontal line at y = -1. The point(s) where these two graphs intersect are the solutions of the system of equations.

By analyzing the graph, we can see that the first solution is located at the point (1, -1), where the parabola intersects the line y = -1. This means that when x = 1, y = -1 satisfies both equations.

Similarly, we can identify a second solution at the point (-7, -1), where the parabola intersects the line y = -1 once again. For x = -7, y = -1 satisfies both equations.

In conclusion, the system of equations has two solutions: (1, -1) and (-7, -1), which are the points where the graphs of the equations intersect on the graphing calculator.

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Answer:

A & C

Step-by-step explanation:

The values of a, h and k on the function are given as follows:

The meaning of the transformations is given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function in this problem is given as follows:

y = 1/x.

Hence the meaning of the transformations is given as follows:

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