what is the third-life of woosterium-21? that is, find the time it takes a sample of woosterium-21 to decay to 1 / 3 1/3 of its original amount. round your answer to three decimal places. (enter only a number. do not include units.)

95% t-interval for a population mean is Confidence Interval = [14.446, 15.554]

In statistics, estimating the value of a population parameter, like a population proportion or a population mean, is a common goal.

We normally choose a small, random sample to estimate these values, and then we compute the sample proportion or sample mean.

Then, in order to express our uncertainty over these estimations, we build a confidence interval.

To determine a confidence interval for a population proportion, we use the following formula:

The confidence Interval is equal to

Here is how to determine a population mean's 95% confidence interval:

The confidence Interval is equal to x z*(s/n).

Confidence Interval is equal to 15 1.96*(4/25).

Confidence Interval is equal to 15 1.568.

Interval of Confidence = [13.432, 16 .568]

Now imagine that we chose a 200-person sample size instead. Here is how we would determine the population's 95% confidence interval:

Confidence Interval = 15 ± 0.554

Confidence Interval = [14.446, 15.554]

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The probability of your friend getting a lemon-lime-flavored drink and you getting an orange-flavored drink is 5/18.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The first bottle you grabbed had a 5/10 chance of being lemon-lime and a 5/10 chance of being orange.

After you gave your friend a lemon-lime, there were 4 lemon-lime drinks and 5 orange drinks left in the cooler. So, the probability of you grabbing an orange drink was 5/9.

Multiplying these probabilities gives the final answer of (5/10) × (5/9) = 25/90 = 5/18.

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The question seems incomplete, the complete question would be as:

A cooler contains ten bottles of sports drinks: five lemon-lime flavored and five orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. Your friend gets a lemon-lime and you get an orange.

What is the probability of this happening?

The value of h in the equation five eighths plus h equals eleven over eight is six eighths

An equation is a mathematical expression that contains two or more numbers and variables linked together by mathematical operations such as exponents, multiplication, division, addition, subtraction and so on.

Given the equation five eighths plus h equals eleven over eight, it is represented as:

(5/8) + h = 11/8

multiply the both sides of the equation by 8:

(5/8) * 8 + h * 8 = (11/8) * 8

5 + 8h = 11

subtract 5 from both sides:

5 + 8h - 5 = 11 - 5

8h = 6

divide both sides by 8:

8h/8 = 6/8

h = 6/8

The value of h is 6/8

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Answer:

x+3/5

Step-by-step explanation:

i have the same grade in my level math

The points on graph of  f(x) = 3 • 5x is (0, 0) and (1, 15).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

f(x) = 3 • 5x

let f(x)= y and put the values for x

At x= 1

y= 3 (5)

y= 15

At x =0

y=0

at x= 15

y= 225

So, the solution are (0, 0) and (1, 15).

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The nonzero vector orthogonal to the plane through the points P, Q, and R is [-8/13, -8/13, -12/13].

To find a nonzero vector orthogonal to the plane through the points P, Q, and R, we can use the cross product of two vectors that lie in the plane.

Let's find the vectors PQ and PR, which can be found by subtracting the coordinates of P from the coordinates of Q and R:

PQ = Q - P = (-2, 1, 3) - (1, 0, 1) = (-3, 1, 2)

PR = R - P = (4, 2, 5) - (1, 0, 1) = (3, 2, 4)

Next, we'll take the cross product of these two vectors to find a vector orthogonal to the plane:

n = PQ x PR =

[(1)(4) - (2)(2), (2)(-3) - (3)(1), (3)(3) - (2)(-2)]

= [-8, -8, -12]

This vector is orthogonal to the plane through the points P, Q, and R. To make it a nonzero vector, we can scale it to have magnitude 1:

n = [-8, -8, -12] / sqrt((-8)^2 + (-8)^2 + (-12)^2) = [-8/13, -8/13, -12/13]

So, the nonzero vector orthogonal to the plane through the points P, Q, and R is [-8/13, -8/13, -12/13].

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Answer:

  1.075%

Step-by-step explanation:

You want the monthly periodic rate corresponding to an APR of 12.9%.

There are 12 months in a year, so the monthly rate is 1/12 of the annual rate:

  12.9%/12 = 1.075%

The monthly periodic rate is 1.075%.

__

Additional comment

The APR does not take compounding into account, so the effective annual rate may be higher.

Answer:

hi !!!

Step-by-step explanation:

Vcylinder = pi*radius*radius*height= pi*25*9= 706.5 cubic milimeters = 7.065 cubic centimenter

Answer:

9x + 10 < 20

I tutor just trust its right

In the right triangle ABC the value of x will be 24.7 and this can be determined by using the trigonometric function.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

Given :

The right-angle triangle ABC.

AB = x

BC = 9

now,

The Trigonometric function can be used to determine the value of 'x'. The tangent function is an important trigonometric function that can be used to determine the value of 'x'.

The tangent function is given by the equation:

tanФ = P/B

where P is the perpendicular and B is the base of the given triangle.

Now, substitute the values of P, Ф, and B in the above equation.

tan 20 = 9/x

solving we get,

x = 24.72

(to the nearest tenth)

So, by using the trigonometric ratio the value of x is 24.7.

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The relation is displayed on the table is A. {(3,3)(3,7)(5,8)(9,0)}.

Relation is something that expresses a special relationship or connection between two sets. Relations are closely related to functions, where both are important in various branches of mathematics.

Functions in mathematics are different from understanding in everyday life. In everyday terms, function can be interpreted as a use or benefit.

A mathematician named Gottfried Wilhelm Leibniz (1646-1716), introduced that functions are used to express a relationship. Regarding this matter, the function can be interpreted as something special about a relation between two sets

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Answer:

x = 4/7 and y = 48/7

Step-by-step explanation:

We need to solve the system of equations using elimination method

-3x + 2y = 12....... equation 1

9x + y = 12...........equation 2

Multiply the 2nd equation with 2

18x + 2y = 24 ............equation 3

Now, subtracting equation 3 from equation 1

- 3x - 18x + 2y - 2y = 12 - 24

-21x = 12

x = 12/21 = 4/7

-3(4/7) + 2y = 12

-12/7 + 2y = 12

2y = 12 + 12/7

2y = 96/7

y = 48/7

Therefore, the   system of equations using elimination. −3x + 2y = 9 x + y = 12 is x = 4/7 and y = 48/7

one as I think

#1

opposite of an area

give me certificate 100% thanks

Answer:i think the answers 4 im not sure

Step-by-step explanation:

The slope of the line representing that relationship in the coordinate plane is -5.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

A container of fuel dispenses fuel at the rate of 5 gallons per second.

If y represents the amount of fuel remaining in the container, and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship.

The linear equation is,

y = -5x.

And the slope is -5.

Therefore, the slope is -5.

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The volume of the solid is 9375 cubic units with a semicircular base of radius 15 and square cross sections perpendicular to the base and parallel to the diameter.

Many perpendicular lines may be seen in nature. The sides of a set square, the arms of a clock at different times of the day, the corners of a blackboard, a window, and the Red Cross emblem are other examples.

Here,

Let x be the height of the washer and h be the width of the square part of the washer. Then, the radius of the circular hole in the washer is 15 - x, so the width of the washer is 2 * (15 - x). The volume of each washer is then given by:

V = π * (15 - x)^2 * x + h^2 * x

where h^2 = (2 * (15 - x))^2

Expanding h^2, substituting into the expression for V, and simplifying, we get:

V = π * (15 - x)^2 * x + 4 * (15 - x)^2 * x

= 5πx(15 - x)^2

The total volume of the solid is given by the definite integral of V from 0 to 15:

V = 5π ∫_0^15 x(15 - x)^2 dx

This integral can be evaluated using integration by substitution. Let u = 15 - x, so that du = -dx and x = 15 - u. Then:

V = 5π ∫_0^15 (15 - u) * u^2 * (-du)

= 5π ∫_15^0 u^2 * (15 - u) du

= 5π * [u^3/3 * (15 - u) - u^2/2 * (15 - u)^2 + u * (15 - u)^3/3]_0^15

= 5π * (225/3 - 15 * (225/2) + (15^4)/4)

= 5π * (225/3 - 3375/2 + 3375)

= 5π * (5625/3)

= 9375π

So the volume of the solid is 9375 cubic units of the solid with a semicircular base of radius 15 and cross sections perpendicular to the base and parallel to the diameter that are squares.

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Because lines a and b are parallel and lines e and f are parallel, the value of "x" is 82 degrees.

Parallel lines are coplanar infinite straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance. Parallel lines are lines that are always the same distance apart in a plane. Parallel lines never cross. Perpendicular lines are those that connect at a straight angle (90 degrees). Parallel lines are lines in a plane that never intersect, no matter how far they are extended. The distance between the parallel lines is continuous since they never intersect.

Here,

Remember that vertical angles are generated by crossing lines that form two non-adjacent angles. These angles are congruent because they have the same vertex.

Take a look at the attached figure. Because lines "a" and "b" are parallel, the angles 82° and x° are vertical angles. As a result, they are congruent.

The value of "x" is 82 degree as lines a and b are parallel and lines e and f are parallel.

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The dependent variable in this research question is the birth rate in Phoenix, AZ.

This can be represented mathematically as B, where B represents the birth rate in Phoenix, AZ. We can calculate the birth rate by taking the total number of live births in Phoenix, AZ (L) and dividing it by the total population in Phoenix, AZ (P), and then multiplying by 1,000. B = (L/P) * 1000.

For example, if there were 10,000 live births in Phoenix, AZ in a given year, and the population of Phoenix, AZ in that same year was 2,500,000, then the birth rate in Phoenix, AZ would be dependent variable as follows: B = (10,000/2,500,000) * 1000 = 4. This would mean that the birth rate in Phoenix, AZ is 4 births per 1,000 individuals.

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Complete question:If the researcher's question is "What are the reasons for an increase in the birth rate in Phoenix, AZ?", then the dependent variable is the birth rate in Phoenix, AZ.

Answer:

ok

Step-by-step explanation:

Answer: i believe its D

Step-by-step explanation:

The first one is a reflection - witch is the answer so D

In response to the question, we may say that Therefore, the cost of a equation calculator is $10.7 and the cost of a protractor is $1.9.

Let the cost of one calculator be c and the cost of one protractor be p. Then we can write two equations based on the information given:

40c + 30p = 485 (Equation 1)

20c + 20p = 252 (Equation 2)

We can simplify Equation 2 by dividing both sides by 20:

c + p = 12.6 (Simplified Equation 2)

Now we can solve this system of equations using substitution. Solving Equation 2 for c, we get:

c = 12.6 - p

Substituting this expression for c into Equation 1, we get:

40(12.6 - p) + 30p = 485

Expanding and simplifying:

504 - 40p + 30p = 485

Solving for p:

-10p = -19

p = 1.9

Substituting this value for p into Simplified Equation 2, we get:

c + 1.9 = 12.6

Solving for c:

c = 10.7

Therefore, the cost of one calculator is $10.7 and the cost of one protractor is $1.9.

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The price of a round-trip ticket to Las Vegas on Southwest this week is 175 after applying a 12.5% discount.

The formula used to calculate the price of a round-trip airline ticket to Las Vegas on Southwest this week is Price = Original Price - Percentage Discount x Original Price. The original price of the ticket is $200 and it is 12.5% off this week. Therefore, the calculation of the price of the ticket this week is Price = 200 - 0.125 x 200 = 175. This means that the price of the round-trip ticket to Las Vegas this week is 175.

The 12.5% discount is calculated by taking the percentage discount and multiplying it by the original price. This result is then subtracted from the original price to get the discounted price. For example, if the original price of the ticket is 200 and the discount is 12.5%, then the calculation is 200 - 0.125 x 200 = 175. Therefore, the discounted price of the ticket this week is 175.

In conclusion, the price of a round-trip ticket to Las Vegas on Southwest this week is 175 after applying a 12.5% discount. The discount is calculated by taking the percentage discount and multiplying it by the original price, and then subtracting that result from the original price.

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The percentage of the students who did not go on the trip will be 40%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a school has 120 students. On Friday, 72 students went on a field trip.

The number of the students who did not go to the trip are:-

N = 120 - 72 = 48

The percentage will be calculated as:-

Percentage  = 48 / 120

Percentage = 0.4 x 100

Percentage = 40%

Therefore, the total of 40% of the students will not have attended the trip.

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the four options guarantees the conditions.

ii)x=14 and y=21 are the values in the parallelogram ABCD.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Given that A city planner is laying out four streets that will form the boundary of a park.

She wants to be sure the park formed by the streets is a parallelogram.

The two streets are parallel to each other.

Angle 1 is corresponding angle to 56 degrees angle

m∠1=56 degrees.

Now angle 2 is 180-56=124 degrees.

m∠2=124 degrees

m∠1=m∠3

m∠3=56 degrees.

2. ABCD is a parallelogram

AB is parallel to CD

x+2=2x-12

14=x

Now BC=AD

3x=2y

42=2y

Divide both sides by 2

21=y

Hence, the four options guarantees the conditions.

ii)x=14 and y=21 are the values in the parallelogram ABCD.

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Step-by-step explanation:

you'll have to make the chart simpiler

After performing dimensional analysis we get there are 89 decigrams in 8.9 grams

Dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities and units of measure and tracking these dimensions as calculations or comparisons are performed.

Given that, we need to change the unit of 8.9 grams into decigram.

We know that,

1 g = 10 dg

Dimensional Analysis Formula

1 g × 10 dg / 1 g = 10 dg

Therefore,

8.9 g × 10 dg / 8.9 g

= 8.9 × 10 dg

= 89 dg

Hence, After performing dimensional analysis we get there are 89 decigrams in 8.9 grams

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The answers to each part are mentioned below.

An function in mathematics defines a relationship between one variable (the independent variable {x})  and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.

Given are the questions regarding the functions.

Following are the key features of functions.

The process of graphing a polynomial function given the equation -

{ 3 } -

There are four types of discontinuities -

jump

point

essential

removable

The parent function of exponential functions is -

y = A(B)ˣ

{ 5 } -

The inverse of an exponential function is a logarithmic function.

for →

y = aˣ, a > 0, a ≠ 1

we can write →

y = [tex]$log_{a} x[/tex], a > 0, a ≠ 1

Therefore, the answers to each part are mentioned above.

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The true statement on probability is C. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 23 over 50.

The theoretical probability of an occurrence indicates its propensity to occur. The theoretical probability of receiving heads is 1/2 since we know that flipping a coin has an equal chance of landing heads or tails. The frequency of an event actually occurring in an experiment is referred to as its experimental probability.

The theorectical probability of swimming is 1 / 2 because it is either heads or tails. However, the experimental probability of swimming is:

= Number of swimmers / Total number of students

= 23 / 50

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Answer: 360 learners

Step-by-step explanation:

There are 30 learners per every 1 teacher. So for 12 teachers, there are 30 x 12 learners, which is equivalent to 360 learners.