Kinsley bought 8.01 ounces of chocolate. 3.89 ounces of it was milk chocolate and the
rest was dark chocolate. How much dark chocolate did Kinsley buy?

The correct names of the given line include the following:

A. PQ (with a line on top).

B. QP (a line with an arrow to the left on top).

A line can be defined as a mark with length and direction, that is created by a point that is moving across a surface. Also, a line can vary in length, width, direction, curvature, and color.

A line segment can be defined as the part of a line in a geometric figure that is bounded by two distinct points (end points) and it typically has a fixed length.

In Geometry, a line can be named by using two (2) points on the line in conjunction with the letters associated with it. In this context, the correct names of the given line include the following:

A. PQ (with a line on top).

B. QP (a line with an arrow to the left on top).

Read more on lines and names here: https://brainly.com/question/15559960

#SPJ1

Answer:

no robot can travel 27 feet in 3 minutes

Step-by-step explanation:

4

2x +2x +1 =13 + x

4x - x = 13 - 1

3x = 12

x=12/3

x=4

Checking, 2*4+2*4+1 =17

13+4=17

Answer:

Step-by-step explanation:

2x + 2x + 1 = 13 + x

To find the value of x, isolate 'x'

Step1: Subtract x from both sides

2x + 2x - x + 1 = 13

Step 2: Subtract 1 from both sides

2x + 2x - x  = 13 - 1

Step3: Combine like terms

       3x   = 12

Step 3: Divide both sides by 3

          x = 12/3

x = 4

If x and y satisfy the system of equations 4x + 5y = 9 and 9x + 1y = 10, then the value of (x + y) is 2.

Given the system of the linear equations are

4x + 5y = 9 ................. (i)

9x + y = 10 ............... (ii)

Now multiplying 5 with equation (ii) we get,

5(9x + y) = 5*10

45x + 5y = 50 ..................... (iii)

Subtracting equation (i) from equation (iii) we get,

(45x + 5y) - (4x + 5y) = 50 - 9

45x + 5y - 4x - 5y = 41

41x = 41

x = 41/41 = 1

Substituting x = 1 in equation (i) we get,

4 * 1 + 5y = 9

4 + 5y = 9

5y = 9 - 4 = 5

y = 5/5 = 1

So the solutions are x = 1 and y = 1.

Hence the value of x + y = 1 + 1 = 2.

To know more about system of equations here

https://brainly.com/question/29210783

#SPJ4

Answer: A) Yes

If (4, 4) lies within the double-shaded area that covers the solution set of both inequalities, then it's a solution.

It does, therefore, it's a solution to the system of inequalities.

The probability that the cab involved in the incident was Blue rather than Green, given that the witness identified it as Blue, is approximately 0.4138 or 41.38%.

To determine the probability that the cab involved in the incident was Blue rather than Green, we can use Bayes' theorem.

Let's define the events:

A: The cab involved in the incident was Blue.

B: The witness identified the cab as Blue.

We are given the following probabilities:

P(A) = 0.15 (15% of cabs are Blue)

P(B|A) = 0.80 (the witness correctly identified a Blue cab as Blue)

P(B|¬A) = 0.20 (the witness incorrectly identified a Green cab as Blue)

We want to calculate the probability that the cab was Blue given that the witness identified it as Blue, i.e., P(A|B).

According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

To calculate P(B), we need to consider the probabilities of two mutually exclusive events:

The witness identified a Blue cab correctly (event A) and

The witness identified a Green cab incorrectly (event ¬A).

Therefore, P(B) = P(B|A) * P(A) + P(B|¬A) * P(¬A)

P(¬A) = 1 - P(A) = 1 - 0.15 = 0.85 (85% of cabs are Green)

Now, we can substitute the given values into Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / (P(B|A) * P(A) + P(B|¬A) * P(¬A))

= (0.80 * 0.15) / (0.80 * 0.15 + 0.20 * 0.85)

= 0.12 / (0.12 + 0.17)

= 0.12 / 0.29

≈ 0.4138

Therefore, the probability that the cab involved in the incident was Blue rather than Green, given that the witness identified it as Blue, is approximately 0.4138 or 41.38%.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

Answer:

2.5 hours

Step-by-step explanation:

it takes him 2.5 hours

Answer:

The time is 2.5 hours.

Step-by-step explanation:

7.5/3=2.5

hope this helps!

"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.

This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.

Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.

When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.

In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Know more about Statistics here,

https://brainly.com/question/31538429

#SPJ11

Step-by-step explanation:

Hope It Helps You

Here You Answer

Answer:

4. 12 in.

5. 3 in.

6. 3in per hour

7. slope would=3

Step-by-step explanation:

Answer:

x = 45 degrees

Step-by-step explanation:

Using the alternate exterior angle theorem, the angles are equal. You can set the expressions equal to each other:

3x = x + 90
2x = 90
x = 45

Step-by-step explanation:

sketch the mother function of |x| then go 3 steps to the right horizontally and that's it

A small p-value provides strong evidence against the null hypothesis. The null hypothesis is the hypothesis that there is no significant difference or relationship between two variables.

The p-value is the probability of obtaining a result as extreme or more extreme than the observed result, assuming the null hypothesis is true.
If the p-value is small, typically less than 0.05, it means that the observed result is unlikely to have occurred by chance alone if the null hypothesis is true. This suggests that there is strong evidence against the null hypothesis and that we should reject it in favor of the alternative hypothesis. .
For example, if we conduct a hypothesis test to determine whether a new drug is more effective than a placebo, a small p-value would indicate that the drug is indeed more effective. This is because the observed results are highly unlikely to occur if the drug is not effective.
In summary, a small p-value provides strong evidence against the null hypothesis and supports the alternative hypothesis. It suggests that the observed results are not due to chance and that there is a significant difference or relationship between the variables being studied.

To know more about Value visit:

https://brainly.com/question/19881297

#SPJ11

Answer: For a test? Nah, thats cheating

Step-by-step explanation: Just kidding, the answer is B...

Answer:

D, 35

Step-by-step explanation:

7b, if b=5, is the same as 7(5), or 7*5, which equals 35.

Answer:

35

Step-by-step explanation:

7B = 5+5+5+5+5+5+5 which equals 35

Remember to press Thanks!

OA. [24x⁵e⁻ˣ] from 0 to 0 = 0

The evaluated integral is: OA. [24x⁵e⁻ˣ] from 0 to 0 = 0

To evaluate the integral ∫₀₀ (24x³e⁻ˣ) dx, we can use integration by parts.

Let's apply the integration by parts formula, which states that ∫ u dv = uv - ∫ v du, where u and v are functions of x.

Let:

u = x³ (Choose as the "first" function)

dv = 24e⁻ˣ dx (Choose as the "second" function)

Now, we can find du and v by differentiating u and integrating dv, respectively:

du = (d/dx)(x³) dx = 3x² dx

v = ∫ 24e⁻ˣ dx

Integrating v gives us:

v = -24e⁻ˣ

Now we can use the integration by parts formula:

∫₀₀ (24x³e⁻ˣ) dx = uv - ∫₀₀ v du

Plugging in the values:

= x³(-24e⁻ˣ) ∣₀₀ - ∫₀₀ (-24e⁻ˣ)(3x²) dx

= 0 - 0 - ∫₀₀ (-72x²e⁻ˣ) dx

= -72 ∫₀₀ (x²e⁻ˣ) dx

We can apply integration by parts again to evaluate the remaining integral.

Let:

u = x² (Choose as the "first" function)

dv = e⁻ˣ dx (Choose as the "second" function)

Now, we can find du and v by differentiating u and integrating dv, respectively:

du = (d/dx)(x²) dx = 2x dx

v = ∫ e⁻ˣ dx = -e⁻ˣ

Using the integration by parts formula again:

-72 ∫₀₀ (x²e⁻ˣ) dx = -72(x²)(-e⁻ˣ) ∣₀₀ - (-72) ∫₀₀ (-e⁻ˣ)(2x) dx

= 0 - 0 + 144 ∫₀₀ (xe⁻ˣ) dx

We can once again apply integration by parts:

Let:

u = x (Choose as the "first" function)

dv = e⁻ˣ dx (Choose as the "second" function)

Now, we can find du and v by differentiating u and integrating dv, respectively:

du = (d/dx)(x) dx = dx

v = ∫ e⁻ˣ dx = -e⁻ˣ

Using the integration by parts formula:

144 ∫₀₀ (xe⁻ˣ) dx = 144(x)(-e⁻ˣ) ∣₀₀ - 144 ∫₀₀ (-e⁻ˣ)(1) dx

= 0 - 0 - 144 ∫₀₀ (-e⁻ˣ) dx

= 144 ∫₀₀ e⁻ˣ dx

Integrating e⁻ˣ gives us:

= 144(-e⁻ˣ) ∣₀₀

= 144(0 - (-1))

= 144

Therefore, the value of the integral ∫₀₀ (24x³e⁻ˣ) dx is 144.

Selecting the correct choice from the given options, the answer is:

OA. [24x⁵e⁻ˣ] from 0 to 0 = 0

To know more about the integral refer here:

https://brainly.com/question/31059545#

#SPJ11

The probability of event B occurring is 0.36.

The formula we used to find P(B) is the formula for the probability of the union of two events A and B, which is given by:

P(AUB) = P(A) + P(B) - P(AB)

Here, A and B are two events, and AB denotes the intersection of events A and B.

We are given that P(AUB) = 0.92, which means that the probability that either A or B occurs is 0.92. We are also given that P(A) = 0.68, which means that the probability of event A occurring is 0.68. Finally, we are given that P(AB) = 0.12, which means that the probability of both A and B occurring is 0.12.

Using these values, we can substitute them into the formula and solve for P(B). We rearrange the formula to isolate P(B) on one side, which gives us:

P(B) = P(AUB) - P(A) + P(AB)

Plugging in the values we are given, we get:

P(B) = 0.92 - 0.68 + 0.12

Simplifying this expression gives us:

P(B) = 0.36

Therefore, the probability of event B occurring is 0.36.

Learn more about Probability

brainly.com/question/23040788

#SPJ11

Answer:

11x^2 + x - 1 (answer)

Step-by-step explanation:

To add polynomials, combine like terms:

11x^2                - 5

              +x      +4

--------------------------

11x^2 + x - 1 (answer)

In question 27, the price elasticity of supply for shampoo is given as 20, and the price of shampoo increases by 0.7%. The expected change in the quantity of shampoo supplied can be determined using the concept of price elasticity of supply. However, the specific percentage change in quantity supplied is not provided, so a precise answer cannot be given based on the given information.

In question 20, an inferior good in which the income effect dominates the substitution effect is referred to as a Giffen good. It is not classified as a normal good, luxury good, mass-produced good, or favored good.

In question 30, the cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of its substitutes and complements. The correct answer is that the cross elasticity of demand measures the responsiveness to changes in both substitutes and complements.

In question 27, without the specific percentage change in quantity supplied, we cannot determine the exact outcome based on the given information. The price elasticity of supply of 20 suggests that the quantity supplied is highly responsive to changes in price, but the specific percentage change in quantity supplied cannot be calculated without additional data.

In question 28, the relationship between pasta being a Giffen good and other characteristics is not specified. While pasta being a Giffen good indicates that the quantity demanded increases as the price increases, it does not imply whether pasta is a normal good, luxury good, or how price changes affect quantity demanded.

To learn more about  mass-produced good: -

The solution of expression is,

⇒ 2 (x - 3) / (x + 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (x² - 6x + 9) / (2x³ + 5x) ÷ (x² - 2x - 3) / (4x² + 10)

Now, We can simplify the expression as;

⇒ (x² - 6x + 9) / (2x³ + 5x) ÷ (x² - 2x - 3) / (4x² + 10)

⇒ (x² - 6x + 9) / (2x³ + 5x) × (4x² + 10) / (x² - 2x - 3)\

⇒  (x² - 6x + 9) × 2 (2x² + 5) / x (2x²+ 5) (x² - 2x - 3)

⇒  2 (x² - 6x + 9) / (x² - (3 - 1)x - 3)

⇒ 2 (x² - (3 + 3)x + 9) / (x² - 3x + 1x - 3)

⇒ 2 (x² - 3x - 3x + 9) / (x (x - 3) + 1(x - 3)

⇒ 2 (x (x - 3) - 3 (x - 3) ) / (x - 3) (x + 1)

⇒ 2 (x - 3)² / (x - 3) (x + 1)

⇒ 2 (x - 3) / (x + 1)

Thus, The solution of expression is,

⇒ 2 (x - 3) / (x + 1)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

The values of a, b, c, and d, based on the given equation are:

\(a = 10\\b = 3\\c = -6\\d = -5\)

Let's calculate the values of a, b, c, and d based on the given table:

Using the equation \(y = x^2 - 4x - 2\), we can substitute the values of x and find the corresponding values of y:

For x = -3:

\(y = (-3)^2 - 4(-3) - 2 = 9 + 12 - 2 = 19\)

For x = -2:

\(y = (-2)^2 - 4(-2) - 2 = 4 + 8 - 2 = 10\)

For x = -1:

\(y = (-1)^2 - 4(-1) - 2 = 1 + 4 - 2 = 3\)

For x = 0:

\(y = (0)^2 - 4(0) - 2 = 0 - 0 - 2 = -2\)

For x = 1:

\(y = (1)^2 - 4(1) - 2 = 1 - 4 - 2 = -5\)

For x = 2:

\(y = (2)^2 - 4(2) - 2 = 4 - 8 - 2 = -6\)

For x = 3:

\(y = (3)^2 - 4(3) - 2 = 9 - 12 - 2 = -5\)

Now let's match these values with the table:

\(x , y = x^2 - 4x - 2\)

\(\[\begin{align*}(-3, 19) \\(-2, a) \\(-1, b) \\(0, -2) \\(1, -5) \\(2, c) \\(3, d) \\\end{align*}\]\)

From the given table, we have:

\(a = 10\\b = 3\\c = -6\\d = -5\)

Certainly! Here's a 100-word explanation of the given data:

The data provided consists of pairs of values, where the first column represents the x-values and the second column represents the y-values. Each row in the table corresponds to a data point. For instance, when x is \(-3\), the corresponding y-value is \(19\). Similarly, when x is \(-2\), the y-value is denoted as '\(a\)', and when \(x\) is -\(1\), the \(y\)-value is denoted as 'b'.

The pattern continues for the remaining data points, with specific values assigned to \(x \ and \ y\). This data set allows for the representation and analysis of relationships between the variables \(x \ and \ y\).

Therefore, the values of a, b, c, and d are:

\(a = 10\\b = 3\\c = -6\\d = -5\)

For more such questions on equation: https://brainly.com/question/29174899

#SPJ11

The length of c in the right angle triangle is 8.6 mm.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides of a right angle triangle c an be found using Pythagoras's theorem as follows:

Hence,

c² = a² + b²

Hence,

Therefore,

c² = 5² + 7²

c² = 25 + 49

c² = 74

square root both sides

c = √74

c = 8.60232526704

Therefore,

c = 8.6 mm

learn more on right triangle here: https://brainly.com/question/16307447

#SPJ1

Answer:

When two things correspond, they match up or are equivalent to one another. You might come up with a code in which numbers correspond to letters of the alphabet. Correspond can also mean to send messages back and forth. You can use your code to correspond with your pen pal

Answer:

in 220 miles both plans will cost the same

Step-by-step explanation:

38 + .12m = 49 + .07m

38 + .05m = 49

.05m = 11

m = 11/.05

The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

To learn more about vector here,

https://brainly.com/question/13322477

#SPJ4

In an observational study, the statement that a cause and effect can be determined is false.

Observational studies simply establish associations between predictor and outcome variables. Observational studies cannot confirm that an association contemplates cause and effect.

In observational studies, confounding variables may explain an observed relationship between predictor and outcome variables.

In an observational study, a cause and effect cannot be determined. Observational studies are used to gather data about a particular population or phenomenon, but they do not allow for the determination of cause-and-effect relationships.

This is because observational studies do not control the variables that are being studied and, therefore, cannot determine the relationship between two variables.

In order to determine cause and effect, a controlled experiment is needed in which the variables are manipulated, and their effects are observed.

To know more about Observational studies, here

https://brainly.com/question/8993153

#SPJ4

The sum of the first 110 terms of the given sequence is given by the expression \(3(1 - 2^110) / (1 - 2)\).

The given sequence appears to follow a pattern where each term is obtained by multiplying the previous term by 2 and adding 1. We can observe this pattern as follows:

3, 7, 15, 31, ...

To find the sum of the first 110 terms of this sequence, we need to calculate the sum of each term from the first term (3) to the 110th term.

To do this, we can use the formula for the sum of a geometric series:

S = \(a(1 - r^n) / (1 - r)\),

where S is the sum, a is the first term, r is the common ratio, and n is the number of terms.

In this case, the first term a = 3,

the common ratio r = 2, and the number of terms n = 110.

Substituting these values into the formula, we get:

S =\(3(1 - 2^110) / (1 - 2)\).

Now, calculating this expression may be computationally intensive, but the formula allows us to find the sum of the first 110 terms of the given sequence.

In summary, the sum of the first 110 terms of the given sequence is given by the expression \(3(1 - 2^110) / (1 - 2)\).

to know more about sequence visit :

https://brainly.com/question/31023866

#SPJ11

Answer:

11

Step-by-step explanation:

19 + w = 30

w = 11

To find the length of the shorter diagonal of a rhombus with perimeter 88 and two acute angles that measure 40 degrees each, we can use the fact that the diagonals of a rhombus are perpendicular bisectors of each other.

Let's denote the length of the shorter diagonal of the rhombus by d, and let's use the fact that the perimeter of the rhombus is 88 to write an equation relating d to the length of the longer diagonal, which we'll denote by D. Since the rhombus has four sides of equal length, each side has length 22:

4s = 88

s = 22

We can use the fact that the two acute angles of the rhombus measure 40 degrees each to determine the length of D. Since the diagonals of a rhombus are perpendicular bisectors of each other, they divide the rhombus into four congruent right triangles, each with acute angles of 40 degrees. We can use trigonometry to find the length of the longer diagonal:

sin(40) = d/2s

sin(40) = D/2s

Multiplying both sides of the second equation by 2 and dividing by sin(40), we get:

D = 2s * (sin(40) / sin(50))

Now we can use the fact that the perimeter of the rhombus is 88 to write an equation relating D to d:

2D + 2d = 88

Substituting the expression we found for D into this equation, we get:

4s * (sin(40) / sin(50)) + 2d = 88

Simplifying this expression, we get:

2d = 88 - 4s * (sin(40) / sin(50))

Plugging in the values we know, we get:

2d = 88 - 4(22) * (sin(40) / sin(50))

d = (44 - 44*sin(40)/sin(50))

So the length of the shorter diagonal of the rhombus is approximately 26.47 units.

Learn more about perimeter here:

https://brainly.com/question/7486523

#SPJ11