b. Distribution B has a higher variance is an accurate statement regarding these two distributions.
Variance is a measure of the spread of a probability distribution. It tells us how far away from the mean values in the distribution are. The higher the variance, the more spread out the values are.
In this case, Distribution B has a higher variance than Distribution A. To calculate the variance of a distribution, we use the formula:
[tex]$$\sigma^2 = \sum_{i=1}^{n} (x_i - \mu)^2 \cdot P(x_i)$$[/tex]
Where [tex]$x_i$[/tex] is a possible value, [tex]$P(x_i)$[/tex] is the probability of that value, and [tex]$\mu$[/tex] is the mean of the distribution. If we use this formula to calculate the variance of each distribution, we'll find that the variance of Distribution B is larger than the variance of Distribution A.
This means that the values in Distribution B are more spread out and less consistent than the values in Distribution A, making Distribution B have a higher variance.
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The image below shows that angles formed by two intersecting lines. What are the correct pairs of vertical angles?
View the image for the answers
By vertical angles theorem, ∠1≅∠3 and ∠2≅∠4. Therefore, option B is the correct answer.
What is vertical angle theorem?Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
From the given figure,
By vertical angles theorem, we have
Angle 1 and angle 3 are congruent.
Angle 2 and angle 4 are congruent
Therefore, option B is the correct answer.
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Real number system using the given theme and its description formulate three conditional statements not written in if then form and convert the three conditional statements into if - then form
Conditional statements using the theme of the real number system:
The product of two positive real numbers is positive.The sum of a positive real number and a negative real number is positive if the magnitude of the negative number is less than the positive number.The quotient of two real numbers is positive if the numerator is positive and the denominator is negative.Conditional statements in if-then form:
If x and y are positive real numbers, then xy is positive.If a is a positive real number and b is a negative real number with |b| < a, then a + b is positive.If x is a positive real number and y is a negative real number, then x/y is positive.Conditional statements are statements in logic and mathematics that assert the truth of a statement based on certain conditions. They are usually written in the form "if P, then Q", where P is a condition and Q is a conclusion that follows from P. Conditional statements are used to make decisions or test certain conditions in programming, mathematics, and everyday life.
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3/5x - 1/3x = 4 find x
Answer:
x = 15
Step-by-step explanation:
3/5x - 1/3x = 4
9/15x - 5/15x = 4
4/15x = 4
x = 15
Ahmad owes $382. 45 on his Visa account. He returns two items costing $25. 10 & $34. 50 for credit. Then he makes purchases of $45 & $98. 17.
A) how much should his payment be if he wants to pay off the balance on the account?
B) Instead of paying off the balance, he makes a payment of $300 and then incurs a finance charge of $24. 66. What is the balance on his account?
By applying the debt concept, it can be concluded that:
A. He should pay $466.02 to pay off the balance on the account.
B. The balance on his account is $190.68
Debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor.
We have the following information:
Ahmad owes $382.45, and because he owes, it means this value is the debt, and we write it:
D = $382.45
Then he returns two items ($25. 10 & $34. 50) so that their values get credited into his accounts.
D = $382.45 - $25.10 - $34.50 = $322.85
Now after this, he makes another two purchases of $45 and $98.17, which increase his debt and makes:
D = $322.85 + $45 + $98.17 = $466.02
Part A: Since the debt or the account balance is $466.02, then he should pay $466.02 to pay off the balance on the account.
Part B: However, instead of paying off the balance, Ahmed makes a payment of $300 and he has to be charged $24.66. It means that his debt is not paid off:
D = $466.02 - $300 + $24.66 = $190.68
So, the balance on his account is $190.68.
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what is the ratio of number 600g:4kg
PLEASE HELP SOLVE THIS SLOPE
Answer:
D
Step-by-step explanation:
1. Find which of these 4 (four) has a y-intercept of positive 4, in this case, B and D. Recall, that the y-intercept means when X is 0 (zero) what is the value of Y?
2. Find the slope of B and D
The formula to find slope is change in y/change in x (Y/X)
B:
X: 0 - 4 = -4
Y: 4 - 0 = 4
4/-4 = -1
D:
X: 0 - -4 = 4
Y: 4 - 0 = 4
4/4 = 1
determine whether s is a basis for m2,2. s = 4 0 0 3 , 1 0 4 1 , 0 1 4 1 , 0 2 2 0
The set S is linearly dependent and the matrix A has rank 3.
Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.
Set A, for instance, is a collection of all the natural numbers, with the form A = 1, 2, 3, 5, 6, 7, 8, etc.
The maximum number of linearly independent columns (or rows ) of a matrix is called the rank of a matrix. The rank of a matrix cannot exceed the number of its rows or columns.
Thus, The set S is linearly dependent and the matrix A has rank 3.
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Identify the y-intercept. plot that point on the graph
y = 2x - 4
Write the y-intercept as a point, no spaces.
The y-intercept of the line y = 2x - 4 is the point (0, -4), which means that the line crosses the y-axis at a point with a y-coordinate of -4.
What is the slope intercept?
The slope indicates the steepness of a line and the intercept indicates the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables and can be used to estimate an average rate of change.
The equation y = 2x - 4 represents a straight line in a coordinate plane.
In this equation, y is the dependent variable and x is the independent variable.
The slope of the line is 2, meaning that the line rises 2 units vertically for every 1 unit it moves horizontally to the right.
The y-intercept is the point where the line crosses the y-axis, and can be found by setting x equal to zero and solving for y.
In this case, when x = 0, y = 2 * 0 - 4 = -4.
Hence, the y-intercept of the line y = 2x - 4 is the point (0, -4), which means that the line crosses the y-axis at a point with a y-coordinate of -4.
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Ernesto has 29 cups of water. Is this enough water to make 15 batches of green slime for a class project? Explain.
8. There are 16 tablespoons in 1 cup. How many tablespoons of cornstarch would Ernesto need to make 20 batches of green slime ?
help please???????????
Answer:240!
16 xs 15 = 240
Step-by-step explanation:
Answer: 240
Step-by-step explanation:
16 x 15 = 240 :)
Two teams need to raise $100 each for their end-of-the-year field trips. Team A wants to sell popcorn at the Spring Fling Carnival, and Team B wants to sell cotton candy. It costs $15 to rent a popcorn machine and it costs $25 to rent a cotton candy maker. The cost of additional supplies for the popcorn is $0.05 per bag. The additional cost for the cotton candy is $0.10 per stick. Team A will sell the bags of popcorn for $0.50 each. Team B will sell the cotton candy for $0.75 per stick.
At what point do both teams earn the same amount of profit? How do you know and
how much profit is earned?
Team A needs to sell 255 bags of popcorn to reach their goal of $100.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Team A will sell the bags of popcorn for $0.50 each.
Team B will sell the cotton candy for $0.75 per stick.
Let the number of bags of popcorn sold by Team A be "x".
So, the total cost for the popcorn machine rental and supplies is
= $15 + 0.05x.
To reach their goal of $100
$100 = 0.5x - ($15 + 0.05x)
$100 = 0.5x - $15 - 0.05x
$115 = 0.45x
x = $115 / 0.45
x = 255 bags of popcorn
Thus, Team A needs to sell 255 bags of popcorn.
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Which of the following would be classified as categoricalâdata?
Choose the correct answer below.
Hair color
Number of suitcases on a plane
Tree height
Amount of rainfall
Categorical data is data that can be divided into different categories. Examples of categorical data include hair color, number of suitcases on a plane, tree height, and amount of rainfall.
Hair color would be classified as categorical data because it can be divided into categories such as black, brown, blonde, and red. Number of suitcases on a plane would also be classified as categorical data because the amount of suitcases can be divided into categories such as 0, 1, 2, 3, etc. Tree height would be classified as categorical data as it can be divided into categories such as small, medium, and large. Amount of rainfall would also be classified as categorical data as it can be divided into categories such as light rainfall, moderate rainfall, and heavy rainfall.
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Use algebra to solve these problems Question 1: Work out the sizes of the angles marked with letters. 68⁰ ( 83° 95° 32° d
The sizes of the angles are: a = 112, b = 97, c = 85, d = 148
How to calculate the sizes of the angles marked with lettersTo calculate the sizes of the angles, we substract the given value from 180 (sum of angles on a straight line)
For a = 180 - 68 = 112( sum of angles on a straight line)
b = 180 - 83 = 97( sum of angles on a straight line)
c = 180 - 95 = 85( sum of angles on a straight line)
d = 180 - 32 = 148( sum of angles on a straight line)
Hence, the sizes of the the angles a,b,c,d, are 112,97,85 and 148 respectively
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The heights of the bars of a histogram correspond to _______ values.
Answer:
Frequency
Step-by-step explanation:
The heights of the bars of a histogram correspond to Frequency values.
Answer:
frequency values
Step-by-step explanation:
The bars are drawn adjacent to each other.
Let u= [-12, 36, 8] and A= [ 5 -2 1 -3 6 1]. Is u in the plane in ℝ3 spanned by the columns of A? Why or why not?
Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or decimal for each matrix element.)
A.No, the reduced echelon form of the augmented matrix is which is an inconsistent system.
B.Yes, multiplying A by the vector writes u as a linear combination of the columns of A.
Since n•u is not equal to 0, we conclude that the vector u is not in the plane spanned by the columns of A.
Why plane spanned by the columns of A?A vector u is in the plane spanned by the columns of a matrix A if and only if the dot product between u and the normal vector of the plane is equal to 0.
In this case, let A = [5 -2 1; -3 6 1]. To determine if u = [-12, 36, 8] is in the plane spanned by the columns of A, we can calculate the dot product between u and the normal vector of the plane, which can be found by taking the cross product of the two columns of A.
Since the cross product of two columns in A gives the normal vector of the plane spanned by the columns, we have:
According to question:n = (5, -2, 1) × (-3, 6, 1) = (18, -26, -11)
Next, we calculate the dot product of n and u:
n•u = (18, -26, -11) • [-12, 36, 8] = 18 * -12 - 26 * 36 - 11 * 8 = -816 - 936 - 88 = -1840
Since n•u is not equal to 0, we conclude that the vector u is not in the plane spanned by the columns of A. In other words, u is not orthogonal to the normal vector of the plane and therefore, is not in the plane.
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Georgia loves to drop water balloons from her third-floor balcony into a dumpster located on the street below. Her brother filmed one balloon falling. He measured the height of the balcony rail. Then he used the video camera's time feature to figure out how far the balloon had traveled from Georgia's hand after each quarter of a second. He listed the times and distances in a table: Time 0.255 Distance 0.3 m 1.2 m 0.55 0.75 s 2.8 m 4.9 m 1.08 1.25 s 7.7 m 11.0 m 1.5 a . graph the distance the water balloon traveled over 1.5 seconds using the data georgia’s brother collected.
The distance the water balloon traveled over 1.5 seconds using the data georgia’s brother collected is attached below.
What is Distance -time Graph?A distance-time graph, also known as a displacement-time graph or position-time graph, is a graphical representation that shows the relationship between the distance traveled by an object and the time it takes to travel that distance.
Using the information gathered by Georgia's brother, we can plot the points on a coordinate plane to graph the distance the water balloon travelled during a period of 1.5 seconds.
The data points provided are as follows:
Time (s) Distance (m)
0.25 0.3
0.5 1.2
0.75 2.8
1.0 4.9
1.25 7.7
1.5 11.0
Plotting these points on a graph with time on the x-axis and distance on the y-axis, we get the graph attached.
The water balloon's route over 1.5 seconds is depicted on a graph. As time increases, the distance traveled by the balloon also increases. The graph shows a curved line, indicating that the distance traveled is not constant but increases at a varying rate.
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Write the coordinates of the vertices after a rotation *
270° counterclockwise around the origin. P(-8,3) Q(-8,10) R(-4,2)
The new coordinates for P(-8,3) Q(-8,10) R(-4,2) are (3,-3) (10,-10) and (2,-2) .
What are coordinates ?
Coordinates can be defined as pair of numbers which are used to determine the position of a given point.
Given
to Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.
Given points are P(-8,3) Q(-8,10) R(-4,2) .
we know that if (x,y) are rotated at an θ, the new coordinates could be ,
x′=xcos(θ)−ysin(θ) y′=xsin(θ)+ycos(θ).
So,
for p (-8,3)
x' = -8*cos270 - 3 * sin270
x' = 0 + 3
x' = 3
y' = -8*cos270 + 3 * sin270
y' = 0 - 3
y' = -3
(x' , y' ) = (3,-3)
similarly,
for q (-8,10)
x' = -8*cos270 - 10 * sin270
x' = 0 + 10
x' = 10
y' = -8*cos270 + 10* sin270
y' = 0 -10
y' = -10
(x' , y' ) = (10,-10)
similarly,
for q (-4,2)
x' = -4*cos270 - 2 * sin270
x' = 0 + 2
x' = 2
y' = -4*cos270 + 2 * sin270
y' = 0 -2
y' = -2
(x' , y' ) = (2,-2)
Therefore, The new coordinates for P(-8,3) Q(-8,10) R(-4,2) are (3,-3) (10,-10) and (2,-2) .
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According to a recent article the average number of babie born with ignificant hearing lo (deafne) i approximately
two per 1,000 babie in a healthy baby nurery. The number climb to an average of 30 per 1,000 babie in an intenive care
nurery. Suppoe that 1,000 babie from healthy baby nurerie were randomly urveyed. Find the probability that exactly two babie
were born deaf
The probability of exactly two babies being born deaf is approximately 0.037, or 3.7%.
Calculating Deaf Birth ProbabilityThe probability of exactly two babies being born deaf in a sample of 1,000 babies from healthy baby nurseries can be calculated using the binomial distribution.
The binomial distribution formula for finding the probability of exactly "k" successes in "n" trials with a probability of success "p" is:P(X = k) = (n choose k) * (p^k) * ((1-p)^(n-k))
Where "n choose k" is the number of combinations of "n" things taken "k" at a time, and can be calculated as:(n choose k) = n! / (k! * (n-k)!)
For this problem:
n = 1000 (number of babies surveyed)
k = 2 (number of deaf babies)
p = 2/1000 (probability of a baby being deaf in a healthy baby nursery)
Plugging these values into the formula:P(X = 2) = (1000 choose 2) * (2/1000)² * (998/1000)^998
P(X = 2) = 999000 * 4 * (998/1000)⁹⁹⁸
P(X = 2) = approximately 0.037
So the probability of exactly two babies being born deaf in a sample of 1,000 babies from healthy baby nurseries is approximately 0.037, or 3.7%.
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consider the two functions shown below. assume the blue line represents a(x) and the pink line represents b(x). how do the second derivatives of the two functions with respect to x compare?
The second derivative of a(x) is larger than the second derivative of b(x) for the given x values.
The second derivative of a function with respect to x is the rate of change of the first derivative with respect to x. The second derivative of a function measures the "curvature" of the graph. In the case of the two functions shown, the blue line represents a(x) and the pink line represents b(x). By looking at the graph, we can see that the first derivative of a(x) is steeper than that of b(x). Therefore, the second derivative of a(x) will be larger than the second derivative of b(x). This can be seen by looking at the graph and noting that the blue line has a greater curvature or "bend" than the pink line. In other words, the second derivative of a(x) is larger than the second derivative of b(x) for the given x values.
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Five items x increased by5gives55
Answer:
x=10
Step-by-step explanation:
5x+5=55
5x=55-5
5x=50
x=10
hth
given rectangular prism ABCD
choose all of the terms that best describe each of the sets of lines or points.
points E, H, and J
[] non-coplanar
[] coplanar
[] equidistant
[] non- collinear
[] collinear
The best describe each of the sets of lines or points will be coplanar, equidistant, and collinear. Then the correct options are B, C, and E.
What are collinear points?An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points are transparently collinear. If the points are in a line, then the points are collinear points.
Let A, B, C, and D be the collinear points. Then the condition of the collinear will be
AB + BC + CD = AD
The collinear points lie in the same plane. Then the points are coplanar too.
From the graph, the distance between points E, H, and J will be the same.
The best describe each of the sets of lines or points will be coplanar, equidistant, and collinear. Then the correct options are B, C, and E.
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The following equation follows the commutative property of addition. Find the missing value.
39 + 67 = __ + 39
a, 42
b. 67
c. 39
d. 81
Using commutative property of addition, a + b = b + a, Therefore, 39 + 67 = 67 + 39, Hence the missing number is 67.
What is the commutative property of addition formula?The commutative property formula applies to addition and multiplication. The addition formula states that a+b=b+a, and the multiplication formula states that a×b=b×a.Commutative property of addition: Changing the order of addends does not change the sum. For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4.We learned that the addition property of equality tells us that if we add the same quantity to both sides of an equation, then our equation remains the same. The formula is if a = b, then a + c = b + cThis law simply states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answerTo learn more about commutative property refers to:
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I need a help on this one asap it can be without step by step just please asap for 25 points.
3/4(12a+8) =27.6
3/4 Multiplied by () + (multiply by 8) = ()
A =?
(Use the distributive property to solve, simplify your answers)
PLEASE HELP THIS IS MY LAST QUESTION!!!!!
3/4(12a+8) =27.6
3/4 Multiplied by () + (multiply by 8) = ()
A = 2.4
How did we get the value?Expanding the expression inside the parenthesis, we have:
3/4 (12a + 8) = 3/4 * 12a + 3/4 * 8 = 9a + 6
Setting this equal to 27.6 and solving for a:
9a + 6 = 27.6
9a = 21.6
a = 2.4
So, the value of a is 2.4
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11). Find the area of the enclosed figure below.
Total area of the enclosed figure is given as 66 sq. units.
What is Area of a figure ?The quantity of unit squares that cover a closed figure's surface is its area. Square units like cm2 and m2 are used to measure area. A shape's area is a two-dimensional measurement.
An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The common ways to depict square units, which are the same as areas, are square inches, square feet, etc.
The space around by a shape's perimeter or boundary is known as its area. Using particular mathematical methods, we may determine the area of shape for various geometric forms.
In the shape there is 2 triangles and 3 rectangle
Area of the bottom triangle = 1/2 * 3*4 = 6 sq. units
Area of the top triangle = 1/2 * 4*2 = 4 sq. units
Area of the bottom rectangle = 8*3 = 24 sq. units
Area of the middle rectangle = 8*3 = 24 sq. units
Area of the top rectangle = 4*2 - 8 sq. units
Total area of the enclosed figure is given as 6+4+ 24+ 24+ 8 = 66 sq. units.
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Investigation • Getting to the root
ASAP PLEASE!!!
The exponents of the values are;
1) 343
2) 9
3) 32
4) That the nth root of a and raise to the power of m
What are the laws of exponents?The laws of exponents are a set of rules for performing arithmetic operations with exponential expressions. They include:
Product rule: For any real numbers a, b and positive integers m, n, (am)(bn) = a^m * b^n.
Quotient rule: For any real numbers a, b and positive integers m, n, (a^m)/(a^n) = a^(m-n).
Power rule: For any real number a and positive integers m, n, (a^m)^n = a^(mn).
Zero exponent rule: For any real number a, a^0 = 1.
Negative exponent rule: For any real number a ≠ 0 and positive integer n, (1/a^n) = a^(-n).
Exponent of a power rule: For any real numbers a, b and positive integers m, n, (a^m)^n = (a^n)^m.
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find the volume of the solid obtained by rotating the region bounded by the curves y=1−x2 and y=0 about the x-axis.
The volume of the region will be 4/3 cubic unit with the help of integration.
What is integration?
Integration is the calculation of an integral. Integrals in maths are used to find many useful quantities such as areas, volumes, displacement, etc. When we speak about integrals, it is related to usually definite integrals. The indefinite integrals are used for antiderivatives. Integration is one of the two major calculus topics in Mathematics, apart from differentiation(which measure the rate of change of any function with respect to its variables).
Definite Integral
An integral that contains the upper and lower limits then it is a definite integral. On a real line, x is restricted to lie. Riemann Integral is the other name of the Definite Integral.
A definite Integral is represented as:
∫f(x)dx from a to b.
Indefinite Integral
Indefinite integrals are defined without upper and lower limits. It is represented as:
∫f(x)dx = F(x) + C
Where C is any constant and the function f(x) is called the integrand.
Now,
For volume
Integrate y=1-x^2 for x=-1 to 1.
volume=1-x^2.dx
V=x-x^3/3
=1-1/3+1-1/3
=2-2/3
Hence,
Volume=4/3 cubic unit
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What do you mean by data type?
Answer:
A data type is an attribute associated with a piece of data that tells a computer system how to interpret its value
Step-by-step explanation:
Data types categorize data and specify its nature, amount characteristics, and behavior. It decides how data is handled within a computer system in terms of storage and manipulation.
Data types categorize data and specify its nature, characteristics, and behavior. It is a crucial part of every data structure and computer language. Primitive data types and complex data types are the two basic divisions of data types. Basic types like numbers, characters, booleans, and strings are examples of primitive data types. Arrays, objects, and records are examples of sophisticated data types that are more complex. Data types specify how information is handled and stored by computer systems. Size, precision, and range are a few examples of the unique qualities that each data type possesses. The arithmetic, comparison, and logic operations that can be carried out on the data are also determined by the data types.
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To find the roots of a polynomial, it is often useful to find the ____ of the polynomial.
Answer:
Factors
Step-by-step explanation:
To find the roots of a polynomial, [factors] help the process of finding them
dried apricots with 3.25 were mixed with dried prunes worth 4.79 to produce a mixture of dried fruit, how much each kind of fruit was used to produce 25 ponds
14.84 pounds of dried apricots were used and 10.16 pounds of dried prunes were used to produce 25 pounds of the dried fruit mixture.
Let's call the weight of dried apricots used in the mixture "x" (in pounds). Then the weight of dried prunes used in the mixture is 25 - x (in pounds).
The cost per pound of dried apricots is 3.25, and the cost per pound of dried prunes is 4.79. So the total cost of the mixture is:
3.25x + 4.79(25 - x) = 3.25x + 119.75 - 4.79x
Expanding both sides:
119.75 = 8.04x
Dividing both sides by 8.04:
x = 14.84 pounds
So 14.84 pounds of dried apricots were used in the mixture, and 25 - 14.84 = 10.16 pounds of dried prunes were used in the mixture.
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14.84 pounds of dried apricots were used and 10.16 pounds of dried prunes were used to produce 25 pounds of the dried fruit mixture.
Let's call the weight of dried apricots used in the mixture "x" (in pounds). Then the weight of dried prunes used in the mixture is 25 - x (in pounds).
The cost per pound of dried apricots is 3.25, and the cost per pound of dried prunes is 4.79. So the total cost of the mixture is:
3.25x + 4.79(25 - x) = 3.25x + 119.75 - 4.79x
Expanding both sides:
119.75 = 8.04x
Dividing both sides by 8.04:
x = 14.84 pounds
So 14.84 pounds of dried apricots were used in the mixture, and 25 - 14.84 = 10.16 pounds of dried prunes were used in the mixture.
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a sample of 137cs (half-life = 30.1 years) decays at a rate of 10^10 decays per second. how long (in years) will it take the decay rate to decrease to 10^7 decays per second?
It will take 19.44 years for the decay rate of 137Cs to decrease to 10^7 decays per second.
The decay rate of 137Cs is given by the formula:
A = A0 * e^(-λt)
Where A is the decay rate, A0 is the initial decay rate (10^10 decays per second), λ is the decay constant (ln(2)/30.1 years) and t is the time in years.
To calculate the time, t, required for the decay rate to decrease to 10^7 decays per second, we solve for t and substitute the given values into the equation:
[tex]t = (ln(A0/A))/λ\\t = (ln(10^10/10^7))/(ln(2)/30.1)\\t = 19.44 years[/tex]
Therefore, it will take 19.44 years for the decay rate of 137Cs to decrease to 10^7 decays per second.
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