What is the value of R

Answer: -7.875

Step-by-step explanation:

In conclusion  there are no points among the given options that are on the parabola.

why it is?

The vertex of the parabola is the midpoint between the point (6, 2) and the line y = 4, which is at (6, 3). Since the focus is below the vertex and the directrix is a horizontal line, the equation of the parabola is of the form:

(x - h)²2 = 4p(y - k)

where (h, k) is the vertex and p is the distance from the vertex to the focus (and from the vertex to the directrix).

Using the vertex and the given point (6, 2), we can find that p = 1. Therefore, the equation of the parabola is:

(x - 6)²2 = 4(y - 3)

Now we can check which of the given points satisfy this equation:

A. (4, 6)

(4 - 6)²2 = 4(6 - 3)

4 = 12 - 12

This point is not on the parabola.

B. (5, 7)

(5 - 6)²2 = 4(7 - 3)

1 = 16

This point is not on the parabola.

C. (6, 5)

(6 - 6)²2 = 4(5 - 3)

0 = 8

This point is not on the parabola.

D. (7, 6)

(7 - 6)²2 = 4(6 - 3)

1 = 12

This point is not on the parabola.

E. (8, 5)

(8 - 6)²2 = 4(5 - 3)

4 = 8

This point is not on the parabola.

Therefore, there are no points among the given options that are on the parabola.

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Complete question:

Which points are on the parabola defined as the set of points the same distance from (6,2) and the line y=4?

Answer:

55%

Step-by-step explanation:

22 is 55% of 40

Answer:

55%

Step-by-step explanation:

we add the number of students together first

22+18

40

Now we divide 22 by 40 since 22 got vanilla

22/40

0.55

Multiply by 100 to get percent

55%

Hopes this helps please mark brainliest

Answer:

7/20

Step-by-step explanation:

So first we know that there are a total od 25 students

15+10=25

And the probability of choosing the first girl is 15/25 or 3/5 simpler terms.

Now to be able to choose another girl in a row just multiply the then probability

So we started off with 25, if a girl was choosen, the population would b 24

and with 24, there is a missing girl so instead of 15 it is 14

now 14/24 or 7/12 simplified

multiply the two

7/12*3/5=21/60

Simplified

7/20

Answer:

15 square centimeters

Step-by-step explanation:

A cube has 6 faces.

So, divide the surface area by 6 to get the surface area of a face of a cube.

Equation (for cube):

SA = surface area = 90

F = surface area of a face of a cube

F = \(\frac{1}{6}\) × SA

F = \(\frac{1}{6}\) × 90

F = \(\frac{90}{6}\) = 15, F = 15

So, the area of one face of the cube is 15 square centimeters.

Answer:

y=4-3x

Step-by-step explanation:

Performing a change of scale we will see that the actual distance is 4 miles.

We know that the scale is:

3/4 inch = 2 miles.

And the distance that Nicole found on the map is (1 + 1/2) inches.

We can rewrrite the scale as:

1 inch = (4/3)*2 miles

1 inch = (8/3) miles.

Then the actual distance will be:

distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.

The correct option is A.

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Answer:

\(y=\frac{1}{3} x+5\)

Step-by-step explanation:

We know that since the equation of the line that we need to find has to be parallel, it must have the same slope. Also, the slope-intercept formula is:

\(y=mx+b\)

Plugging in the values we know:

\(8=\frac{1}{3} (9)+b\)

We solve for \(b\) and get:

\(b=5\).

So, the equation of our new line must be:

\(y=\frac{1}{3} x+5\)

For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.

The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).

Here, the population standard deviation, and level of significance are the same.

As the margin of error increased.

So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size

\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)

As the margin of error is in the denominator position in the sample size formula

Hence with an increase in the margin of error sample size decreases.

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Answer:x=-0.5

Step-by-step explanation:

You would add the 2.5 on both sides of the equal sign

The measure of angle DEH is 60°. The solution is obtained using the properties of rhombus.

What is a rhombus?

The rhombus is a distinct variant of the parallelogram. The opposing sides and angles of a rhombus are parallel and equal.

We are given that the quadrilateral EFGH is a rhombus.

We know that the diagonals of a rhombus bisect each other at right angles i.e. 90°.

Therefore, Angle FDE = 90°

In triangle FDE, using angle sum property, we get

⇒ 30° + 90° + ∠FED = 180°

⇒ 120° + ∠FED = 180°

⇒∠FED = 60°

We know that the diagonals of the rhombus bisect the angles.

This means that ∠FED = ∠DEH

Therefore, ∠DEH = 60°

Hence, the measure of angle DEH is 60°.

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Answer: yes correct . hernando 6 by 6

Step-by-step explanation:

Answer:

yes they are correct. Hernando divided 6 by 6

Step-by-step explanation:

Hernando ate 2/8 of a pizza for a dinner.

he gave his 6 friends the rest of the pizza, and told them to share equally.

Rest pizza portion=1-2/8

=6/8

6/8 pizza divided into 6 person

6/8÷6

1/8

So 1/8 portion get each person

So the option a is correct

yes they are correct. Hernando divided 6 by 6

Answer:

41 grams

Step-by-step explanation:

Ratios:

\(\frac{65.6}{8} =\frac{x}{5} \\\\8x=328\\x=41\)

Answer:

A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?

To show that the general term of the quadratic number pattern is given by \(tn = n^2 + 4n - 12\) , we need to find a quadratic expression that fits the given pattern.

Let's examine the given sequence: -7, 0, 9, 20. We notice that each term is increasing by a certain amount.

First, let's find the differences between consecutive terms:
0 - (-7) = 7
9 - 0 = 9
20 - 9 = 11

We observe that the differences between consecutive terms are not constant, so this indicates that the sequence is not linear.

To determine if the sequence follows a quadratic pattern, let's find the second differences:
9 - 7 = 2
11 - 9 = 2

The second differences are constant, which suggests a quadratic pattern.

Now, let's find the quadratic expression. We know that the general term of a quadratic sequence can be written as \(tn = an^2 + bn + c\), where a, b, and c are constants to be determined.

Using the given terms, we can form three equations:

1.\(For n = 1: -7 = a(1)^2 + b(1) + c\)
2. \(For n = 2: 0 = a(2)^2 + b(2) + c\)
3.\(For n = 3: 9 = a(3)^2 + b(3) + c\)

Simplifying these equations, we get:
1. a + b + c = -7
2. 4a + 2b + c = 0
3. 9a + 3b + c = 9

Solving this system of equations, we find a = 1, b = 4, and c = -12.

Therefore, the general term of the quadratic number pattern is given by\(tn = n^2 + 4n - 12\).

The general term of the quadratic number pattern is \(tn = n^2 + 4n - 12\).

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The equation 61 * 61 * 61 = (** 61 *)^2 can be replaced with 0 through 9 in various ways for the decimal equation to be correct.

In this equation, we have three instances of the number 61 being multiplied together on the left-hand side, and on the right-hand side, we have a square of a number that contains two unknown digits. We need to determine the values of these unknown digits (represented by the stars) by replacing them with digits from 0 to 9, such that the equation holds true.

To find the possible combinations, we can start by calculating the left-hand side of the equation. 61 * 61 * 61 equals 226,981. Now, we need to find two-digit numbers whose square is equal to 226,981. By taking the square root of 226,981, we find that it is approximately 476.383.

Since the square of the number on the right-hand side should be equal to 226,981, the two digits represented by the stars must be 7 and 6 in some order. Therefore, the equation can be written as 61 * 61 * 61 = (7*61 + 6)^2 or as 61 * 61 * 61 = (6*61 + 7)^2, depending on the order of the digits.

By replacing the stars with 7 and 6 in either order, we find a valid solution for the equation. It is important to note that there might be other combinations that satisfy the equation as well, but the specific values of the stars being 7 and 6 are valid options.

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Answer:

216 cubic inches

Step-by-step explanation:

We want to simplify:

102 * 4 - 3(8 * 8 * 1)

We will apply BODMAS:

Solving the Bracket first:

102 * 4 - 3(64)

102 * 4 - 192

=> 408 - 192

= 216 cubic inches

He will need 216 cubic inches of packing foam.

Answer:

Below.

Step-by-step explanation:

1) Alternate exterior angles

2) Alternate interior angles

3) Alternate exterior angles

4) Alternate exterior angles

5) Alternate interior angles

6) Corresponding angles

7)Alternate exterior angles

8) Alternate interior angles

9) Corresponding angles

10) Corresponding angles

When two parallel lines are intersected by a transversal 8 angles are formed.

Alternate exterior angles: These angles are located outside the parallel lines but on the opposite side of the transversal.

Alternate interior angles:

These angles are located inside the parallel lines but on the opposite side of the transversal.

Corresponding angles: These angles are located at the same relative position on the same side of the transversal.

False. the statement "If a variable x does not depend on a variable y, both coefficients are equal to zero" is false.

The coefficient of determination (R-squared) and the coefficient of correlation (Pearson's correlation coefficient) are related but distinct measures.

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable (y) that can be explained by the independent variable(s) (x). It ranges from 0 to 1, where a value of 0 indicates that the independent variable(s) do not explain any of the variance in the dependent variable, and a value of 1 indicates that the independent variable(s) completely explain the variance in the dependent variable.

On the other hand, the coefficient of correlation, denoted as r, measures the strength and direction of the linear relationship between two variables (x and y). It also ranges from -1 to 1, where a value of -1 indicates a perfect negative linear relationship, a value of 0 indicates no linear relationship, and a value of 1 indicates a perfect positive linear relationship.

If a variable x does not depend on variable y, it means there is no linear relationship between the two variables. In this case, the coefficient of correlation (r) would be 0, indicating no linear relationship. However, the coefficient of determination (R²) could still be non-zero if there are other independent variables that explain the variance in the dependent variable y.

Therefore, the statement "If a variable x does not depend on a variable y, both coefficients are equal to zero" is false.

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Using the Empirical Rule, it is found that 68% of the data should be between 25.5 and 30.5.

It states that, for a normally distributed random variable:

In this problem, we have that:

Within one standard deviation of the mean, hence, 68% of the data should be between 25.5 and 30.5.

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Answer:( x ) = 5 x 3 - 4 .

Step-by-step explanation:

Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

I understand that you want a concise explanation with the main answer in the last two lines. The term you're looking for is the calculation that involves dividing the estimated coefficient (b) by its estimated standard error (SEb). This computation is used in statistical analysis to determine the significance of a variable in a regression model.
In a regression analysis, the coefficient represents the slope of the line, showing the relationship between the independent and dependent variables. The standard error of the coefficient (SEb) is an estimate of the variability of the coefficient. By dividing b by SEb, we get a statistic that helps us assess the precision and significance of the estimated coefficient.
Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

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Case 1: Break-even units are 10000

Case 2: Fixed cost is $1,00,000

Case 3: Variable cost is $20

Case 4: The sale price is $15

Break-even in units = Fixed cost/Selling price - Variable cost

Case 1:

Sales price = $20

Variable cost = $16

Fixed cost = $40,000

Break-even point = 40000/20-16

= 10000 units

Case 2:

Sales price = $25

Variable cost = $5

Break-even units = 5000

Finding fixed cost:

5000 = Fixed cost/25-5

Fixed cost = 5000* 20

= 1,00,000

Case 3:

Sales price = $29

Fixed cost = 81000

Break-even units = 9000

Finding variable cost:

9000 = 81000/29-variable cost

2,61,000 - 9000*Variable cost = 81000

Variable cost = 20

Case 4:

Variable cost = $9

Fixed cost = $48000

Break-even units = 8000

Finding sales price:

8000 = 48000/Sales price - 9

8000*Sales price - 72000 = 48000

Sale price = $15

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Answer:

Step-by-step explanation:

x + 17 + 6x + 10 + 4x - 34 = 180

11x + 27 - 34 = 180

11x - 7 = 180

11x = 187

x = 17

x + 17 = 17 + 17 =34

6(17)+10 = 102 +  10 = 112

4(17) - 34 = 68 - 34 = 34

Answer is D

Answer:

y=4x+1

Step-by-step explanation:

1. 4x-y=2

  -y=-4x+2   divide both sides by -1

  y=4x-2

2. y-y1=m(x-x1)

   y-(-3)=4(x-(-1))

    y+3=4x+4

    y=4x+4-3

    y=4x+1

Parallel lines have the same, so the equation we are making should have the slope of 4.

After answering the presented question, we can conclude that Hence, equation the value of x+y is 3/2.

A mathematical statement statement verifies the equivalent of two expressions interconnected by the equal symbol '=' is known as an equation. For example, 2x - 5 = 13. Two instances of expressions are 2x-5 and 13. The character '=' is used to connect the two expressions. A mathematical formula with two algebras on each side of an assignment operator (=) is called an equation. It shows the relationship of equivalence here between left and middle formulas. In any formula, L.H.S. = R.H.S. (left side = right side).

the system of equations:

\(8x - y = 12 --- Equation 1\\2x - 6y = 3 --- Equation 2\\8x - y = 12\\8x - 24y = 12\\23y = 0\\8x = 12\\So, x = 3/2.\)

Therefore, x + y = 3/2 + 0 = 3/2.

Hence, the value of x+y is 3/2.

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Answer:

The number 0 is not an element of the set natural numbers

A Trure

In this case the answer is very simple. .

We must analyze the graph to find the solution.

Step 01:

Data

Triangle ABC

point A (1,1)

point B (4,0)

point C (3,3)

Step 02:

Traslation (x,y) ==> (x - 1, y - 2)

A' ( 1 - 1 , 1 - 2 )

A' ( 0 , - 1)

B' ( 4 - 1 , 0 - 2 )

B' ( 3 , -2 )

C' ( 3 - 1, 3 - 2 )

C' ( 2 , 1)

Step 03:

We must compare the calculated coordinates of the new points to verify if they coincide with those of the graph.

Triangle A'B'C'

Graph Calculated

A' (2, 3 ) ≠ A' ( 0 , - 1)

B' ( 6,2 ) ≠ B' ( 3 , -2 )

C' ( 4 , 5) ≠ C' ( 2 , 1)

The answer is:

False. Because the calculated coordinates are different from the coordinates of the graph.

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