the probability that a student at certain high school likes art is 35%. the probability that a student who likes art also likes science is 22%. find the probability that a student chosen at random likes science given that he or she likes art. round to the nearest tenth of a percent.

The angle ABD is 35 degrees, AC is 20 units long, and AB is 29 units long.

An angle is created by combining two rays (half-lines) that have a common terminal. The angle's vertex is the latter, while the rays are alternately referred to as the angle's legs and its arms.

Triangle ABD's angle ABC is one of its outside angles, making it equal to the sum of the opposing interior angles.

Angle ABC = Angle ABD + Angle ACD

replacing the specified values:

110° = Angle ABD + 75°

Simplifying:

Angle ABD = 110° - 75°

Angle ABD = 35°

Due of their shared angles, the two triangles are comparable. This fact can be used to establish a ratio between the corresponding sides:

AC / CD = AB / BD

replacing the specified values:

AC / 10 = 16 / 8

Simplifying:

AC = 20

To know more about angle visit:-

brainly.com/question/28451077

#SPJ1

Complete Question:

Find the angle ∠ABD jn the given figure

The associative property works with expressions that use multiplication and addition. The correct option is (D).

The associative property is a rule in mathematics that allows us to change the grouping of the numbers or variables in an expression without changing the result. This property only applies to addition and multiplication, and not to subtraction and division.

The associative property of addition tells us that we can add a group of numbers in any order, and the result will be the same. For example, (2 + 3) + 4 is the same as 2 + (3 + 4). The associative property of multiplication tells us that we can multiply a group of numbers in any order, and the result will be the same. For example, (2 × 3) × 4 is the same as 2 × (3 × 4).

However, the associative property does not work with subtraction and division. For example, (10 - 3) - 2 is not the same as 10 - (3 - 2). Similarly, (12 ÷ 2) ÷ 3 is not the same as 12 ÷ (2 ÷ 3). Therefore, the correct answer to the question is D - the associative property works with expressions that use multiplication and addition.

To know more about associative property:

https://brainly.com/question/30111262

#SPJ4

The probability that the first question she gets right is question number 4, is 0.1054.

Number of options there are for a single query = 4

P(guessing correct answer for a single question) = 1/4

P(guessing correct answer for a single question) = 0.25

Probability of getting correct answer P(correct) = 0.25

Probability of getting wrong answer P(wrong) = 1 - Probability of getting correct answer

Probability of getting wrong answer P(wrong) = 1 - 0.25

Probability of getting wrong answer P(wrong) = 0.75

So, the probability that the first question she gets right is question number 4 = Probability of getting 1st question wrong × Probability of getting 2nd question wrong × Probability of getting 3rd question wrong × Probability of getting 4th question right

The probability that the first question she gets right is question number 4 = 0.75 × 0.75 × 0.75 × 0.25

The probability that the first question she gets right is question number 4 = 0.1055

To learn more about probability link is here

brainly.com/question/31120123

#SPJ4

The complete question is:

In a multiple choice exam, there are 5 questions and 4 choices for each question (a, b, c, d). Nancy has not studied for the exam at all and decides to randomly guess the answers. (Round your answers to four decimal places.)

What is the probability that the first question she gets right is question number 4?

Answer:

Step-by-step explanation:

We can start by simplifying the expression using the laws of exponents:

343^(2x) * 49^(-x/2) = 49^(x/2)

We can then simplify further by expressing everything in terms of 7 (since 7 is the common factor of both 343 and 49):

(7^3)^(2x) * (7^2)^(-x/2) = (7^2)^(x/2)

Applying the laws of exponents again, we get:

7^(6x) * 7^(-x) = 7^x

7^(6x - x) = 7^x

7^(5x) = 7^x

Now we can solve for x by equating the exponents on both sides:

5x = x

4x = 0

x = 0

Therefore, the solution to the equation is x = 0.

Answer:

x = 0

Step-by-step explanation:

343^(2x) * 49^(-x/2) = 49^(x/2)

(7^3)^(2x) * (7^2)^(-x/2) = (7^2)^(x/2)

7^(6x) * 7^(-x) = 7^(x)

Now, we can simplify the equation further by combining the like terms on both sides:

7^(6x - x) = 7^(x)

7^(5x) = 7^(x)

We can solve for x by equating the exponents on both sides of the equation:

5x = x

4x = 0

x = 0

Therefore, the solution to the equation is x = 0.

Answer:

16

Step-by-step explanation:

When we divide the entire equation by 1/-2 to get rid of the coefficient of n we get n = 16.

We can calculate its product by taking the dot product of each row of B1A and each column of A1B. In this way, we can calculate B1A without knowing the values of A and B.

The matrix product of two matrices, A and B, is defined as the matrix C, where C = AB. To calculate the product of two matrices, we must take the dot product of each row of A and each column of B. If we are given a matrix product A1B, then we can calculate B1A without necessarily knowing what A and B are.

To do so, we must first invert the matrix A1B. We can do this by solving a system of equations. We can set up this system of equations by treating the entries of A1B as the coefficients in a system of equations, and solving for the entries of B1A. Once we have found the inverse, we can calculate the matrix B1A.

Finally, once we have the matrix B1A, we can calculate its product by taking the dot product of each row of B1A and each column of A1B. In this way, we can calculate B1A without knowing the values of A and B.

See more about matrix at: https://brainly.com/question/14414517

#SPJ11

Answer:

Sure, I can help you solve these problems using substitution. Let's start with problem 1:1. y=x+4 y=3x To solve this system of equations, we need to substitute one of the variables from one equation into the other equation. We can solve the second equation for y:y=3x Now we can substitute this expression for y into the first equation:y=x+4 3x=x+42x=4x=2 Now we can substitute this value for x into either equation to solve for y:y=x+4 y=2+4y=6 So the solution to this system of equations is x=2, y=6. You can follow the same procedure to solve the rest of the problems. 2. x=-2y+1 x-y=-53. y=x-7 2x+y=84. y=3x-6 -3x+y=-65. x+2y=200 x=y+506. 4x+3y=1 x=1-y Let me know if you need any further assistance.

The cost to ship a box containing 5 laptops, weighing a total of 11 kg (including the empty box), is $58.90, with a cost of $40.00 for the first 5 kg and $3.15 for each additional kilogram.

The total mass of the packed shipping box can be found by adding the mass of the laptops (5 * 1.65 kg = 8.25 kg) to the mass of the empty box (2.75 kg) for a total mass of 11 kg.

Since the cost to ship the box is $40.00 for the first 5 kg and $3.15 for each additional kilogram over 5 kg, we can split the total mass into two parts: the first 5 kg and the additional weight above 5 kg.

The cost to ship the first 5 kg is $40.00, and the remaining weight is 11 kg - 5 kg = 6 kg.

The cost to ship the additional 6 kg is $3.15 per kilogram, so the total cost to ship the packed box is:

$40.00 + $3.15 * 6 kg = $58.90

Therefore, the cost to ship the packed box is $58.90.

To know more about Cost of shipping:

https://brainly.com/question/29364736

#SPJ4

To increase £88 by 14%, we can use the multiplication method, which involves multiplying the original amount by the decimal equivalent of the percentage increase.

The multiplication method is a mathematical technique used to solve problems involving multiplication. It involves breaking down numbers into their constituent parts and then multiplying those parts together to arrive at the final answer.

To find the decimal equivalent of 14%, we divide the percentage by 100:

14% ÷ 100 = 0.14

This tells us that a 14% increase is equivalent to multiplying the original amount by 1.14 (1 + 0.14).

To increase £88 by 14%, we can multiply it by 1.14:

£88 x 1.14 = £100.32

Therefore, the increased amount is £100.32.

To learn more about multiplication method visit;

https://brainly.com/question/30339990

#SPJ4

Answer: Should be standard form.

Step-by-step explanation: Just cause the others don't really make sense and the equation looks basic.

After answering the prοvided questiοn, we can cοnclude that As a result, expressiοn the pizza place is abοut a mile away frοm the schοοl.

In mathematics, an expressiοn is a grοup οf representatiοns, digits, and cοnglοmerates that resemble a statistical cοrrelatiοn οr regimen. An expressiοn can be a real number, a mutable, οr a cοmbinatiοn οf the twο. Additiοn, subtractiοn, rapid spread, divisiοn, and expοnentiatiοn are examples οf mathematical οperatοrs.

Arithmetic, mathematics, and shape all make extensive use οf expressiοns. They are used in mathematical fοrmula representatiοn, equatiοn sοlutiοn, and mathematical relatiοnship simplificatiοn.  

If the pizza place is 7 miles frοm yοur friend's hοuse and her hοuse is 8 miles frοm schοοl, the distance between the twο can be calculated as fοllοws:

distance frοm pizza shοp tο schοοl = distance frοm friend's hοuse tο schοοl - distance frοm friend's hοuse tο pizza shοp

8 miles minus 7 miles = distance frοm pizza place tο schοοl

1 mile frοm the pizza place tο the schοοl

As a result, the pizza place is abοut a mile away frοm the schοοl.

To know more about expression visit :-

brainly.com/question/14083225

#SPJ1

Answer:

We can use the slope-intercept form of a linear equation to model the balance y after t months, where the slope represents the rate of change of the balance and the y-intercept represents the initial balance.

The initial balance (y-intercept) is the amount Tina borrowed to buy the refrigerator, which we don't know. But we can find the slope using the two data points provided:

Four months: balance = $630

Six months: balance = $520

The change in the balance over the two-month period is:

$520 - $630 = -$110

The slope of the line is the rate of change of the balance per month, which is:

slope = Δy/Δt = (-$110)/(6-4) = -$55/month

Using the point-slope form of a linear equation, we can plug in one of the data points to find the y-intercept:

y - 630 = -$55(t - 4)

y - 630 = -$55t + 220

y = -$55t + 850

Therefore, the equation that models the balance y after t months is:

y = -$55t + 850.

The following conditions must be met to conduct a two-proportion significance test:

the populations are independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.

The two-proportion significance test is a hypothesis test that compares the proportions of two independent populations.

To conduct the two-proportion significance test, the following conditions must be met:

Populations must be independent.

Sample sizes are greater than 30.

The probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population.

The sample size should be large enough so that the sampling distribution of the sample proportion is nearly normal. The sample sizes should be large enough so that the central limit theorem can be applied.

In short, to conduct a two-proportion significance test, the populations must be independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.


To know more about two-proportion significance test refer here:

https://brainly.com/question/30255520#

#SPJ11

The equation of the circle with center at (8, 2) that passes through (17, 14) in standard form is (x - 8)² + (y - 2)² = 225

In your problem, we are given that the center of the circle is located at (8, 2) and that the circle passes through the point (17, 14). To find the equation of this circle, we need to use the standard form of the equation of a circle, which is:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius of the circle.

To find the radius of the circle, we can use the distance formula between the center of the circle and the point on the circle that is given to us. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) is the center of the circle and (x₂, y₂) is the point on the circle that is given to us.

Plugging in the values we have, we get:

d = √((17 - 8)² + (14 - 2)²) = √(81 + 144) = √(225) = 15

So the radius of the circle is 15.

Now we can plug in the values we have into the standard form of the equation of a circle:

(x - 8)² + (y - 2)² = 15²

which simplifies to:

(x - 8)² + (y - 2)² = 225

To know more about equations here

https://brainly.com/question/10413253

#SPJ4

Answer:

Step-by-step explanation:

[tex]\frac{7}{3} (x+\frac{9}{28} )=20[/tex]    

[tex]7 (x+\frac{9}{28} )=60[/tex]     (multiplied both sides by 3)

[tex]x+\frac{9}{28} =\frac{60}{7}[/tex]          (divided both sides by 7)

[tex]x=\frac{60}{7}-\frac{9}{28}=\frac{240}{28}-\frac{9}{28}=\frac{231}{28} =8.25[/tex]     (subtracted [tex]\frac{9}{28}[/tex] both sides and solved)

Answer:

what's your exact question

Answer:

can u pls type the full question

The child should be given 15 ml of the medicine to receive 300 mg of the active ingredient.

The given problem requires us to determine the number of milliliters of a liquid medicine that a child should receive in order to obtain a specific dosage of the active ingredient. We are given that the medicine contains 100 mg of the active ingredient in 5 ml.

The child needs to receive 300 mg of the active ingredient, and there are 100 mg of the active ingredient in 5 ml of the medicine. Therefore, the child should be given:

[tex]\frac{300 mg}{100mg/5ml} = \frac{300\text{ mg} \times 5\text{ ml}}{100\text{ mg}} = 15\text{ ml}$$[/tex]

So the child should be given 15 ml of the medicine to receive 300 mg of the active ingredient.

Learn more about Liquid Measurements:

https://brainly.com/question/7744911
#SPJ4

it will take approximately 22.56 years for the amount to triple.

The given information for this problem is that there is an initial investment of $600 in an account with an annual interest rate of 4%. The task is to determine after how many years the amount will triple.Using the compound interest formula, we can find the amount in the account after t years:A = P(1 + r/n)nt Where,A = final amount in the account, P = initial amount in the account r = annual interest rate ,n = number of times the interest is compounded per year ,t = time in years.

From the problem statement, we know that the initial amount, P, is $600 and the annual interest rate, r, is 4%. Let's assume that the interest is compounded annually, i.e., n = 1.Substituting these values in the formula, we get:A = $600(1 + 0.04/1)1t Simplifying this expression,A = $600(1.04)t.

Taking the ratio of the final amount to the initial amount, we get: 3P = $600 × 3 = $1800. Therefore,A/P = 3 = (1.04)t.Dividing both sides by P, we get:3 = (1.04)t ln(3) = ln(1.04)t. Using the logarithmic property, we can bring down the exponent to the front:ln(3) / ln(1.04) = t Using a calculator, we get ≈ 22.56. Therefore, it will take approximately 22.56 years for the amount to triple.

To know more about compound interest, click here:

https://brainly.com/question/22621039

#SPJ11

1.  Exponential decay 2. Josh's function represents the situation correctly 3. V(x) = 1275(0.835)ˣ,  V(x) = 1275(1-0.165)ˣ

An exponential decay function is a mathematical function that describes the decrease in value of a quantity over time or through a series of events. It is often used to model natural phenomena such as radioactive decay or the spread of diseases.

In an exponential decay function, the value of the quantity decreases exponentially over time. This means that the rate of decrease is proportional to the value of the quantity at any given time.

The exponential decay function is characterized by a decreasing graph that approaches zero but never touches the x-axis. The rate of decay slows down over time, but the quantity never completely disappears. The function is used in various fields such as physics, chemistry, biology, finance, and economics, to name a few.

1. This situation represents exponential decay because the value of the computer decreases by 16.5% each year.

2. Josh's function represents the situation correctly because it involves the decay factor (0.835) which is less than 1, reflecting the decrease in value each year. Eve's function represents exponential growth which is not consistent with the situation where the value of the computer decreases each year.

3. V(x) = 1275(0.835)ˣ represents the function using the form V(x) = a(b)ˣ where a = 1275 and b = 0.835.

Alternatively, V(x) = 1275(1-0.165)ˣ represents the function using the form V(x) = a(1-r)ˣ where a = 1275 and r = 0.165.

To know more about function visit:

https://brainly.com/question/14355665

#SPJ1

Yes

The logarithm function is continuous for all x>0. Its derivative is 1/x and r12 ln x dx = x ln x - x + c.

Learn more about logarithm function

brainly.com/question/30284289

#SPJ11

Answer:

√1.5

Step-by-step explanation:

As a fraction, the square root of 3/2 can be expressed as √1.51 or just as √1.5.

Total number of  cups of berries does the school cafeteria have is 600

Addition is a basic mathematical operation that involves combining two or more numbers or quantities to find a total or sum. In other words, it is the process of finding the total amount when two or more numbers are added together.

To find the total number of cups of berries in the school cafeteria, you can add the number of cups of strawberries and blackberries.

The school cafeteria has 150 cups of strawberries and 450 cups of blackberries, so

Total cups of berries = cups of strawberries + cups of blackberries

Total cups of berries = 150 + 450

Total cups of berries = 600

Learn more about addition here

brainly.com/question/20562711

#SPJ4

The standard deviation of the number of defective bulbs in a sample of 11 light bulbs, where 60% are defective, is 1.53, rounded to two decimal places.

The number of defective bulbs in a sample of 11 light bulbs follows a binomial distribution with parameters n = 11 and p = 0.6, where n is the sample size and p is the probability of a defective bulb.

The standard deviation of the binomial distribution is given by the formula:

σ = sqrt(np(1-p))

where σ is the standard deviation, n is the sample size, p is the probability of success (defective bulb), and (1-p) is the probability of failure (non-defective bulb).

Substituting the values into the formula, we get:

σ = sqrt(11 * 0.6 * 0.4) = 1.53

Therefore, the standard deviation of the number of defective bulbs in the sample is 1.53, rounded to two decimal places.

To know more about standard deviation:

https://brainly.com/question/23907081

#SPJ4

The given statement " the null hypothesis predicts there is a relationship between the variable and a significant difference between the groups." is False because the null hypothesis predicts that there is no relationship between the variables and no significant difference between the groups.

A null hypothesis is a statement that suggests that no relationship exists between two variables. It serves as the baseline assumption and a starting point for researchers to test their alternative hypothesis.

Null hypothesis testing is a statistical method used to compare two mutually exclusive propositions: the null hypothesis and the alternative hypothesis.

In hypothesis testing, the null hypothesis states that there is no significant difference between two groups, while the alternative hypothesis suggests that there is a significant difference between the two groups.

If the observed data deviates significantly from what we would expect under the null hypothesis, we reject it in favor of the alternative hypothesis.

If the observed data does not significantly deviate from what we would expect under the null hypothesis, we fail to reject it.

Know more about null hypothesis here:

https://brainly.com/question/4436370

#SPJ11

The probability of the spinner landing on the letter C is 1/4

To understand the probability of the spinner landing on the letter C, we need to start by looking at the total number of possible outcomes. In this case, there are four possible outcomes, corresponding to the four letters A, B, C, and D.

Since each of the four quadrants on the spinner is equal in size, each of the four letters has an equal chance of being landed on. Therefore, the probability of the spinner landing on the letter C is the number of ways that the spinner can land on C, divided by the total number of possible outcomes.

Since there is only one way for the spinner to land on C, and there are four possible outcomes in total, the probability of the spinner landing on the letter C is 1/4

Learn more about probability here

brainly.com/question/11234923

#SPJ4

The given question is incomplete, the complete question is:

A spinner with four equal quadrants labeled A, B, C, and D is spun. What is the theoretical probability of the spinner landing on the letter C

The probability of winning is 1/17, which can also be expressed as a decimal (approximately 0.059) or as a percentage (approximately 5.9%).

The odds on a bet represent the ratio of the probability of winning to the probability of losing. In this case, the odds are 16:1 against winning, which means that the probability of winning is 1 out of 16.

To express this probability as a fraction, we can use the formula:

Probability of winning = 1 / (odds + 1)

Plugging in the given odds, we get:

Probability of winning = 1 / (16 + 1)

Probability of winning = 1/17

In this case, the odds of 16:1 against winning correspond to a probability of 1/17, which represents the chance of winning the bet.

To learn more about probability click on,

https://brainly.com/question/29111123

#SPJ4

If a water bottle contains 375 ml, So the volume in quarts is 0.396 qt.

       The volume of a water bottle containing 375 ml can be converted into a quart using the conversion formula.

          One can use the following conversion formula to convert a given volume in ml to quarts.

          The conversion formula for ml to quarts is given as;

                      1 ml = 0.00105669 quarts

Volume in quarts = Volume in ml × 0.00105669

     Now, to calculate the volume of 375 ml of the water bottle in quarts,

     We will substitute the given volume in the above conversion formula as follows,

      Volume in quarts = 375 ml × 0.00105669

                                    = 0.396 qt

       Hence, the volume of the water bottle containing 375 ml is 0.396 qt.

      Therefore, the correct option is C. 0.396 qt.

Learn more about volume conversion in quarts at: https://brainly.com/question/898411

#SPJ11

Answer: 1250 miles

Step-by-step explanation:

50 miles in 1/5 of an hour = 250 miles in 1 hour = 1250 miles in 5 hours

Answer:

1,250

Step-by-step explanation:

50 divided by 1/5 equals 250.

Multiply 250 by 5.

250*5= 1,250

Providing free access to a variety of stimuli for the purposes of identifying potential reinforcers is best described by Free Operant Preference Assessment.

What is a free operant preference assessment? Free operant preference assessment refers to a behavior analysis process used to determine the preferred stimulus of an individual in a naturalistic environment. This method measures the potential and meaningful reinforcers through the observation of a child's free time. A reinforcement is a consequence that strengthens a behavior.The free operant preference assessment is frequently utilized in the autism field to identify reinforcing stimuli. It is a process of assessing a child's preferred items and actions in a naturalistic setting.The free operant preference assessment is conducted in three different stages: Stage 1: involves observation of preferred items and items that are likely to become potential reinforcers, Stage 2: involves assessing for a hierarchy of items and stage 3 involves using the data gathered to plan the student’s schedule, including reinforcement and non-contingent time periods.

Learn more about reinforcers here, https://brainly.com/question/14316466

#SPJ11

FREE OPERANT PREFERENCE ASSESSMENT. Providing free access to a variety of stimuli for the purposes of identifying potential reinforcers is best described by Free Operant Preference Assessment.

A free operant preference assessment is a measure of the attractiveness or preference for various stimuli by measuring an individual's time spent with them.

Free access to different stimuli is given to the individual to determine their preferences, which are subsequently used to reinforce the desired behavior or work on behavior modification through behavior analysis.

The steps to conducting a Free Operant Preference Assessment: Prepare the list of stimuli: Initially, you have to prepare a list of stimuli that you believe may act as a reinforcer for the individual, which may include toys, foods, or other things that the person likes.

Prepare the environment: Arrange the stimuli in a room, and let the individual enter it.

Make sure that there is sufficient space to move around and that the person has free access to all of the stimuli.  

Record the time the individual spends with each stimulus. You can observe the person, either directly or through video recording.

 Based on the data obtained, the most preferred and least preferred stimuli can be identified. Then, these preferred stimuli can be used as potential reinforcers.

LEARN MORE ON  REINFORCER:https://brainly.in/question/55312435

#SPJ11