There are 5 red candies and 1 blue candy shown in the bag. What is the least number of red and blue candies that can be added to the bag to create a ratio of 3 to 2 for the number of red candies to the number of blue candies? Key: = red R B = blue​

Answer: 11a2b+ab+ab2

Step-by-step explanation:

Standard form:x^2-2x-48=0

I think x=8, -6

The alternative hypothesis would be that the slope coefficient is not equal to zero, indicating that there is a linear relationship between sales and profit.

The null hypothesis for testing a linear regression model with profit as the dependent variable and sales as the independent variable is that the slope coefficient is equal to zero.

The null hypothesis for a linear regression model is usually stated as:

H0: β1=0, where β1 is the slope coefficient of the independent variable in the model.

In this case, the independent variable is sales, and the dependent variable is profit.

Therefore, the null hypothesis would be that the slope coefficient of sales (β1) is zero, indicating that there is no linear relationship between sales and profit.

The alternative hypothesis would be that the slope coefficient is not equal to zero, indicating that there is a linear relationship between sales and profit.

Know more about alternative hypothesis here:

https://brainly.com/question/13045159

#SPJ11

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

Learn more about Matlab code  here:

https://brainly.com/question/30763780

#SPJ4

Answer:

nearest tenth= 5.4

Step-by-step explanation:

55 ÷ 10.1= 5.44554455446.

Answer:

Step-by-step explanation:

55/10.1= 5.44554455445544554

Round to the nearest tenth

4 is less so, 5.4

A) The average cost function C(x) can be obtained by dividing the total cost function by the quantity x:

C(x) = (0.05x^2 + 22x + 340) / x

Simplifying this expression, we get:

C(x) = 0.05x + 22 + 340/x

Therefore, the average cost function C(x) is given by 0.05x + 22 + 340/x.

B) To find the critical values of C(x), we need to determine the values of x where the derivative of C(x) is equal to zero or is undefined. Taking the derivative of C(x) with respect to x, we have:

C'(x) = 0.05 - 340/x^2

Setting C'(x) equal to zero and solving for x, we find:

0.05 - 340/x^2 = 0

Rearranging the equation, we have:

340/x^2 = 0.05

Simplifying further, we get:

x^2 = 340/0.05

x^2 = 6800

Taking the square root of both sides, we find two critical values:

x = ± √(6800)

Therefore, the critical values of C(x) are x = √(6800) and x = -√(6800)

C) Using interval notation, we can express the domain of x where the function C(x) is defined. Given that the range of x is from 0 to 150, we can represent this interval as (0, 150).

Leran more derivative about here: brainly.com/question/29020856

#SPJ11

Answer:

45.00%

Step-by-step explanation:

The total answers count 40 - it's 100%, so we to get a 1% value, divide 40 by 100 to get 0.40. Next, calculate the percentage of 18: divide 18 by 1% value (0.40), and you get 45.00% - it's your percentage grade.

Please rate me brainliest

Answer:

If Ally and Bo share evenly, Bo will get 30$, so will Ally. The half of 60 is 30.

The largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.

Explanation:

To find where the function is increasing, we need to find where the first derivative of the function is positive. Taking the derivative of f(x), we get:

f'(x) = (-2x) / (x^2 + 1)^2

The denominator of this expression is always positive, so the sign of f'(x) is determined by the numerator. The numerator is negative for x < 0 and positive for x > 0. Therefore, f(x) is decreasing on (-∞, 0) and increasing on (0, ∞).

We also need to check the endpoints of these intervals to make sure that the function is increasing on the entire interval. As x approaches negative infinity, the function approaches 0, and as x approaches positive infinity, the function approaches 0. Therefore, the function is increasing on (-∞, 0) ∪ (0, ∞).

In summary, the largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.

To learn more about derivative click here, brainly.com/question/29144258

#SPJ11

Answer:

the answer is b B decreases the fastest can I get the brainliest answer

Answer:

No. In order to be a right triangle, the lengths of the 2 smaller sides must equal the length of the longest side.

In other words, these 3 sides must work with the Pythagorean theorem.

A^2 + B^2 = C^2

25^2 + 30^2 is NOT 30^2

This is a triangle, just not a right triangle.

Answer:

\(\textsf{a)} \quad \dfrac{1}{2}\)

\(\textsf{b)} \quad -2\)

\(\textsf{c)} \quad a = -4,\;\; a = 6\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{9cm}\underline{Gradient Formula}\\\\Gradient $=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}\)

Given points:

Substitute the given points into the gradient formula to find the gradient of line PQ:

\(\textsf{Gradient}=\dfrac{-a-(a-2)}{(4-3a)-a}=\dfrac{-a-a+2}{4-3a-a}=\dfrac{2-2a}{4-4a}=\dfrac{2(1-a)}{4(1-a)}=\dfrac{2}{4}=\dfrac{1}{2}\)

If two lines are perpendicular to each other, their gradients are negative reciprocals.

Therefore, the gradient of a line perpendicular to PQ is:

\(\implies \textsf{Gradient}=-2\)

\(\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}\)

Substitute the points and the given distance 10√5 into the formula and solve for a.

\(\implies 10\sqrt{5}=\sqrt{((4-3a)-a)^2+(-a-(a-2))^2}\)

\(\implies 10\sqrt{5}=\sqrt{(4-3a-a)^2+(-a-a+2)^2}\)

\(\implies 10\sqrt{5}=\sqrt{(4-4a)^2+(2-2a)^2}\)

\(\implies 500=16-32a+16a^2+4-8a+4a^2\)

\(\implies 500=20a^2-40a+20\)

\(\implies 25=a^2-2a+1\)

\(\implies a^2-2a-24=0\)

\(\implies a^2-6a+4a-24=0\)

\(\implies a(a-6)+4(a-6)=0\)

\(\implies (a+4)(a-6)=0\)

Apply the zero-product property:

\(\implies a+4=0 \implies a=-4\)

\(\implies a-6=0 \implies a=6\)

Therefore, the two possible values of a are:

The relation "r" on the set of all integers, where x = y^2, is not reflexive.

A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.

For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.

Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.

To learn more about raltion click here: brainly.com/question/30569368 #SPJ11

So, the correct answer is a. Reflexive, Not Symmetric, Not Transitive.

The binary relation r = { (0 , 0) , (1 , 1) , (2 , 2) , (1 , 2) } on a = { 0 , 1 , 2 , 3 } is:

a. Reflexive, Not Symmetric, Not Transitive

Explanation:
- Reflexive: A relation is reflexive if for every element in the set A, there is a pair (x,x) in the relation r. In this case, (0,0), (1,1), and (2,2) are present, but (3,3) is missing. Therefore, it is not reflexive.
- Symmetric: A relation is symmetric if for every pair (x,y) in the relation r, there is also a pair (y,x) in r. In this case, (1,2) is present but (2,1) is missing. Therefore, it is not symmetric.
- Transitive: A relation is transitive if for every pair (x,y) and (y,z) in the relation r, there is also a pair (x,z) in r. In this case, (1,2) and (2,2) are present, but (1,2) is not present. Therefore, it is not transitive.

So, the correct answer is a. Reflexive, Not Symmetric, Not Transitive.

Learn more about the properties of the binary relation.

brainly.com/question/13202516

#SPJ11

The probability that during the next three months it has;

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events.

The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.

The plant has on the average two breakdowns per month,

so the Poisson distribution is,

\(P(X=k) = \frac{e^{-\lambda} \lambda^k}{k!}\)

where,

X is the random variable representing the number of events

λ is the average rate at which the events occur

k is the number of events that occur

a)  at least five breakdowns

\(P(X=k) = \frac{e^{-\lambda} \lambda^k}{k!}\)

P(X =5) = \(\frac{e^{-2} 2^5}{5!}\)

= 0.036

Thus, probability that at least five breakdowns in three months is 0.036.

b)  at most eight breakdowns

\(P(X=k) = \frac{e^{-\lambda} \lambda^k}{k!}\)

\(P(X=8) = \frac{e^{-2} 2^8}{8!}\)

= 0.00085.

Therefore, probability of at most eight breakdowns is 0.00085.

c) more than five breakdowns.

\(P(X=k) = \frac{e^{-\lambda} \lambda^k}{k!}\)

P(X = 6) = \(\frac{e^{-2} 2^6}{6!}\)

=0.012

Therefore, probability of more than five breakdowns is 0.012.

Learn more about Probability:

https://brainly.com/question/15278026

#SPJ4

\( \LARGE{ \underline{\underline{ \sf{\pink{ Required\: answer:}}}}}\)

9(x + 2).

7 ( n - 4 )

10 ( 6 - r)

3 ( 5c + 7)

3(4- y).

6( 3+ x).

-8(2x + 6). -

9(x) + 9 (2).

7 ( n)- 7 (4 )

10(6) - 10(r)

3(5c) + 3(7)

3(4) - 3(y)

6(3) + 6(x)

-8(2x) - 8(6)

9x + 18

7n - 28

60 - 10r

15c + 21

12 - 3y

18 + 6x

-16x - 48

15

5x-2y=9......(1)

6x+ky=4......(2)

slope of eqn i= -5/-2

=5/2

slope of eqn ii = -6/k

since the line are perpendicular

5/2 * -6/k = -1

-30= -2k

k=15

The GCF of the expression A = 75m + 85 is k = 5

Given data ,

Let the GCF of the expression be represented as k

Now , the expression is

A = 75m + 85

On simplifying , we get

Taking the common factors of 75 and 85 , we get

A = 5 ( 15m + 17 )

Hence , the GCF is k = 5

To learn more about GCF click :

https://brainly.com/question/13257989

#SPJ1

Marcon harvested more pomelos than Lope, by 199.25 kilos.

To calculate this, we need to subtract the amount harvested by Lope from the amount harvested by Marcon.

First, we need to convert the amounts into the same unit of measure. Both amounts are in kilos, so no conversion is needed.

Next, we can subtract the amount harvested by Lope from the amount harvested by Marcon: 362.75 kilos - 163.5 kilos = 199.25 kilos.

This means that Marcon harvested 199.25 kilos more pomelos than Lope.

For more questions like Pomelos click the link below:

https://brainly.com/question/7130211

#SPJ4

Answer:

Step-by-step explanation:

Given 30% of the 50,000 books in the library are fiction, you want to know the percentage that are non-fiction, and the number of fiction books.

The total of all books in the library is 100%, so if 30% are fiction, the remaining number are not:

  100% -30% = 70%  . . . . are non-fiction

The number of fiction books is found by multiplying the total number by the fraction that are fiction:

  fiction books = 50,000 × 0.30 = 15,000

There are 15,000 fiction books in the library.

<95141404393>

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

To know more about hypothesis test refer here:

https://brainly.com/question/29996729#

#SPJ11

The domain of the function will be [-4, 6). Then the correct option is B.

The complete question is attached below.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

\(f(x) = \left\{\begin{matrix}x+4, & if & -4\leq x < 3 \\\\2x-1, & if & 3 \leq x < 6 \\\end{matrix}\right.\)

Then the domain of the function will be [-4, 6).

Then the correct option is B.

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ1

The solution to the problem is as follows:Given that 80% of teenagers aged 12-17 own smartphones. A random sample of 250 teenagers is drawn.

The probability is calculated by using the Central Limit Theorem and the TI-84 calculator, and the answer is rounded to at least four decimal places.PC <0.11)-0 Х $P(X<0.11)To find the probability of less than 75% of the sampled teenagers owned smartphones, convert the percentage to a proportion.75/100 = 0.75

This means that p = 0.75. To find the sample proportion, use the given formula:p = x/nwhere x is the number of teenagers who own smartphones and n is the sample size.Substituting the values into the formula, we get;$$p = \frac{x}{n}$$$$0.8 = \frac{x}{250}$$$$x = 250 × 0.8$$$$x = 200$$Therefore, the sample proportion is 200/250 = 0.8.To find the probability of less than 75% of the sampled teenagers owned smartphones, we use the standard normal distribution formula, which is:Z = (X - μ)/σwhere X is the random variable, μ is the mean, and σ is the standard deviation.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ11

Answer: θ=0.75448...πn

Torsion refers to the twisting of a structural member due to the application of torque. Pure torsion occurs when a structural member is subjected to torsional loading only. It is analyzed using assumptions such as linear elasticity, circular cross-sections, and small deformations. The torsion equation relates the applied torque, the polar moment of inertia, and the twist angle of the member. However, this formula has limitations in cases of non-circular cross-sections, material non-linearity, and large deformations.

Torsion is the deformation that occurs in a structural member when torque is applied, causing it to twist. In pure torsion, the member experiences torsional loading without any other external forces or moments acting on it. This idealized scenario allows for simplified analysis and calculations. The assumptions made in pure torsion analysis include linear elasticity, which assumes the material behaves elastically, circular cross-sections, which simplifies the geometry, and small deformations, where the twist angle remains small enough for linear relationships to hold.

To analyze pure torsion, engineers use the torsion equation, also known as the Saint-Venant's torsion equation. This equation relates the applied torque (T), the polar moment of inertia (J), and the twist angle (θ) of the member. The torsion equation is given as T = G * J * (dθ/dr), where G is the shear modulus of elasticity, J is the polar moment of inertia of the cross-section, and (dθ/dr) represents the rate of twist along the length of the member.

However, the torsion equation has its limitations. It assumes circular cross-sections, which may not accurately represent the geometry of some structural members. Non-circular cross-sections require more complex calculations using numerical methods or specialized formulas. Additionally, the torsion equation assumes linear elasticity, disregarding material non-linearity, such as plastic deformation. It also assumes small deformations, neglecting cases where the twist angle becomes significant, requiring the consideration of non-linear relationships. Therefore, in practical applications involving non-circular cross-sections, material non-linearity, or large deformations, more advanced analysis techniques and formulas must be employed.

To learn more about torsion click here: brainly.com/question/30612977

#SPJ11

Answer:

1. 4/9

2. 80,100,6.5

3.  10 and 11

4. 56cm

5. 3 an4

6. Real, Rational, Integer

7. All whole numbers are natural numbers

8. -1 1/2

9. √72

10. √9

Good luck :)

Step-by-step explanation:

Answer:

w= -5

Step-by-step explanation:

Isolate "w":

There are 1,814,400 ways to choose and arrange 8 people in a straight line from a group of 10 people.

To determine the number of ways 8 people can be chosen and arranged in a straight line from a group of 10 people, we can use the concept of permutations.

The formula for permutations is given by:

P(n, r) = n! / (n - r)!

Where n is the total number of objects and r is the number of objects to be selected and arranged.

In this case, we have 10 people to choose from (n = 10) and we want to select and arrange 8 people (r = 8). Therefore, the formula becomes:

P(10, 8) = 10! / (10 - 8)!

Simplifying the expression:

P(10, 8) = 10! / 2!

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 3,628,800

2! = 2 x 1

= 2

P(10, 8) = 3,628,800 / 2

= 1,814,400

Therefore, when there are 10 people to choose from, there are 1,814,400 ways to select and arrange 8 people in a straight line. This is calculated using the permutation formula.

To know more about straight line, visit:

https://brainly.com/question/25969846

#SPJ11