what is the radical equivalent to s^3/2
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.
Help me with these please!!
The angle ABD is 35 degrees, AC is 20 units long, and AB is 29 units long.
What in mathematics is an angle?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
question sebastian states that experimental and theoretical probabilities are never the same. is sebastian's statement true? why or why not?
Answer:
Step-by-step explanation:
yes
which of 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. the sample sizes are greater than 30.
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
A right triangle is shown. What is the approximate length of the hypotenuse of the triangle?
Answer:
Option D.
Step-by-step explanation:
To find hypotenuse [tex]c[/tex] use formula:
[tex]\text{Cos(B)}=\frac{a}{c}[/tex]
After substituting [tex]B=62^0[/tex] and a = 7 we have:
[tex]\text{cos}(62^o)=\frac{7}{c}[/tex]
[tex]0.4695=\frac{7}{c}[/tex]
[tex]c=\frac{7}{0.4695}[/tex]
[tex]c=14.9104[/tex]
Help please, Which value of x satisfies the equation 7/3(x+9/28)=20
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)
if the answer to our three questions for this particular limit is affirmative, what can you say about the continuity of the logarithm function? what would be its derivative? what would be r12 ln x dx?
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
Use the multiplication method to increase £88 by 14%
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
a children's liquid medicine contains 100 mg of the active ingredient in 5 ml . if a child should receive 300 mg of the active ingredient, how many milliliters of the medicine should the child be given? for the purposes of this question, assume that these numbers are exact.
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
Which of the following equations represent(s) a line that goes through the
points (2,3) and (1,1)?
1) y = 2(x-2) + 3
II) y = 2x - 1
III) y = 2(x-1) + 1
O I, II & III
O III only
OI and III
OI only
O II only
Answer:
O I, II & III
Step-by-step explanation:
(2, 3) and (1, 1)
m = (3 - 1)/(2 - 1) = 2
y = 2x + b
1 = 2(1) + b
b = -1
The equation of the line is
y = 2x - 1
I) y = 2(x - 2) + 3 = 2x - 4 + 3 = 2x - 1 Yes
II) y = 2x - 1 Yes
III) y = 2(x - 1) + 1 = 2x - 2 + 1 = 2x - 1 Yes
Answer: O I, II & III
solve for x (Please leave an explanation)
The value of x for the angle 100 + x under the top parallel line is equal to -10.
What are angles formed by a pair of parallel lines cut by a transversal line?When a transversal line intersects a pair of parallel lines, several angles are formed which includes: Corresponding angles, vertical angles, and alternate angles.
The angle 100 + x formed by the top parallel line and the transversal line perpendicular to to it is equal to 90° so we can solve for the value of x as follows:
100 + x = 90
subtract 100 from both sides
x = 90 - 100
x = -10.
Therefore, the value of x for the angle 100 + x under the top parallel line is equal to -10.
Know more about angles here:https://brainly.com/question/24607467
#SPJ1
Align the variables in the equations.
2x - 3y = 9
1-6x +9y = -7
The variables in the equations are aligned as follows: 2x - 3y = 9 and
2x - 3y = 8/3
What does it mean by align a system of linear equation?When we talk about aligning a system of linear equations, we mean rearranging the equations so that the variables are in the same order and have the same coefficients. This is done to make it easier to apply methods for solving systems of equations, such as substitution or elimination.
In a system of linear equations, each equation typically involves two or more variables. The variables may have different coefficients in each equation, and they may appear in a different order. Aligning the system involves rearranging the equations in a way that puts the variables in the same order, with the same coefficients.
Align the variables in given the system of linear equations :
To align the variables in the given equations, we need to rearrange the second equation so that the coefficients of and are the same as in the first equation.
To align the variables in the equations, we need to rearrange the terms so that the x, y, and constant terms are all grouped together.
Starting with the first equation:
2x - 3y = 9
We can rearrange this as:
2x = 3y + 9
Now we can divide both sides by 2 to get x by itself:
x = (3/2)y + 4.5
Now let's move on to the second equation:
1-6x +9y = -7
We can rearrange this as:
-6x + 9y = -8
Next, we'll divide both sides by -3 to get x by itself:
2x - 3y = 8/3
Now both equations are in the form of:
ax + by = c
where a, b, and c are constants. The aligned equations are:
2x - 3y = 9
2x - 3y = 8/3
To know more about variables visit :
brainly.com/question/29583350
#SPJ1
The associative property works with expressions that use
A
division and subtraction. B
addition and subtraction. C
multiplication and division. D
multiplication and addition
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
suppose there is $600 in the account with an annual interest rate of 4%. after how many years will the amount triple?
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
An plane covers 50 miles in 1/5 of an hour. How many miles can the plane cover in 5 hours
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
Please help it’s urgent!!! Pls help!!! Will give brainliest!!Tina purchased a new refrigerator
on a payment plan. Four months after purchasing the refrigerator, the balance was $630. Six months after purchasing the refrigerator,
the balance was $520.
Write an equation that models the balance y after t months.
y = _t + _
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 measure of the angle turns through 3/5 of 360°, true or false
Answer:
false, 216° turns 3/5 in a 360° rotation
Providing free access to a variety of stimuli for the purposes of identifying potential reinforcers is best described by which of the following?
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.
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
if the matrix product a1b is known, how could you calculate b1a without necessarily knowing what a and b are?
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
what is the probability that the first question she gets right is question number 4? group of answer choices
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?
Find the missing dimension of the triangle
Area= 14 ft squared
Height=6 ft
the missing dimension of the triangle is the base, which has a length of 21 feet. To find the missing dimension of the triangle, we will use the formula for the area of a triangle, which is:
Area = 1/2 x base x height
We know that the area of the triangle is 14 ft squared and the height is 6 ft. We can substitute these values into the formula and solve for the base:
14 = 1/2 x base x 6
Multiplying both sides by 2/6 (or simplifying to 1/3) gives:
14 x 3/2 = base
21 = base
Therefore, the missing dimension of the triangle is the base, which has a length of 21 feet.
This means that the triangle has a height of 6 feet and a base of 21 feet, and its area is 14 square feet. The height of a triangle is the perpendicular distance from the base to the opposite vertex, and in this case, it is given as 6 feet. The base of a triangle is the side opposite the height, and we have found that it has a length of 21 feet.
In summary, we can find the missing dimension of a triangle by using the formula for the area of a triangle and the given dimensions. In this case, we found that the missing dimension is the base, which has a length of 21 feet, and we know that the height is 6 feet.
To know more about dimension click here:
brainly.com/question/8286598
#SPJ4
An empty shipping box has a mass of 2. 75 kilograms. An electronics store is packing 5 identical laptops in the shipping box. Each laptop has a mass of 1. 65 kg. The cost to ship the box was $40. 00 for the first 5 kg and $3. 15 for each kilogram over 5 kg. What was the cost to ship the packed box?
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
factored form
What form is this equation written in?
y = -x² + 6x + 7
standard form
slope-intercept
form
vertex form
P
Answer: Should be standard form.
Step-by-step explanation: Just cause the others don't really make sense and the equation looks basic.
Listed is a series of experiments and associated random variables. In each case, identify
the values that the random variable can assume and state whether the random variable is
discrete or continuous.
Experiment Random Variable (x)
a. Take a 20-question examination Number of questions answered correctly
b. Observe cars arriving at a tollbooth Number of cars arriving at tollbooth
for 1 hour
c. Audit 50 tax returns Number of returns containing errors
d. Observe an employee’s work Number of nonproductive hours in an
eight-hour workday
e. Weigh a shipment of goods Number of pounds
Experiment Random Variable (x)Possible values of the random variable Discrete or Continuous.
a) Take a 20-question examination Number of questions answered correctly Discrete (0, 1, 2, 3, ..., 20)
b. Observe cars arriving at a tollbooth Number of cars arriving at tollbooth for 1 hour Discrete (0, 1, 2, 3, ...)
c. Audit 50 tax returns Number of returns containing errors Discrete (0, 1, 2, 3, ...)
d. Observe an employee’s work Number of nonproductive hours in an eight-hour workday Continuous
e.Weigh a shipment of goods Number of pounds Continuous Random variables are numerical values that are a result of a random experiment. Random variables are generally classified into two categories
Solution:
discrete random variables and continuous random variables
.Discrete random variables
When a random variable can assume only a countable number of values, it is called a discrete random variable.
Examples: the number of cars passing by a particular point of a highway in a day or the number of customers served by a shop in a day.
Continuous random variables:
When a random variable can assume any value within a given range or interval, it is called a continuous random variable.
Examples: temperature, the weight of a person, or the height of a person.Tax returns: The random variable is discrete, as it can only take certain values (0, 1, 2, 3, and so on) since the number of tax returns containing errors is an integer.The shipment of goods: The random variable is continuous because it can assume any value between the minimum and maximum weight of the shipment, and the weight of the shipment can be any value.
To know more about random variables:
https://brainly.com/question/30789758
#SPJ11
The school cafeteria has 150 cups of strawberries and 450 cups of blackberries. How many total cups of berries does the school cafeteria have?
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
Noah was at home. He got on his bike and rode to his friends
Answer:
what's your exact question
Answer:
can u pls type the full question
44.0183 rounded to the nearest thousands
which value of n makes the equation true
-[tex]\frac{1}{2}n=-8[/tex]
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.
if the odds on a bet are 16:1 against, what is the probability of winning? express your answer as a fraction.
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
Triangle ABC is shown below. Describe how we could use circles to determine whether this is an equilateral triangle.
In Triangle ABC, we can draw a circle around each vertex of the triangle.
If the radii of all three circles are equal, then Triangle ABC is an equilateral triangle.
What is radii?Radii is the plural form of radius. It is half of the diameter and the length of the radius is used to calculate the area and circumference of the circle.
To determine whether a triangle is an equilateral triangle, we can use circles.
In this method, we draw three circles, one around each vertex of the triangle.
We then measure the radii of the circles, ensuring that they are all equal. If the radii of the three circles are equal, then the triangle is an equilateral triangle.
In Triangle ABC, we can draw a circle around each vertex of the triangle. Then, we could use a measuring tool to measure the radii of each circle. If the radii of all three circles are equal, then Triangle ABC is an equilateral triangle.
This method of using circles to determine whether a triangle is an equilateral triangle is simple and efficient. It does not require any complex calculations, and it is easy to understand.
For more questions related to equilateral triangle
https://brainly.com/question/17264112
#SPJ1