there were 28,800 handshakes that occurred at the meeting.
How to solve the question?
In order to calculate the number of handshakes that occurred, we can use the formula for the sum of the first n-1 positive integers. The reason we use n-1 is because each person shakes hands with n-1 other people (themselves excluded).
The formula is:
(n-1) + (n-2) + (n-3) + ... + 1
where n is the number of people in the group.
In this case, n = 240, so we plug in:
(240-1) + (240-2) + (240-3) + ... + 1
Simplifying:
239 + 238 + 237 + ... + 1
We can see that this is an arithmetic series with a common difference of -1 and a first term of 239. Using the formula for the sum of an arithmetic series, we get:
S = n/2 * (first term + last term)
S = 240/2 * (239 + 1)
S = 240/2 * 240
S = 28,800
Therefore, there were 28,800 handshakes that occurred at the meeting.
It's worth noting that this calculation assumes that each handshake is counted twice (once for each person involved). If we only counted each handshake once, then we would need to divide our final answer by 2, giving us 14,400 handshakes.
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regarded as likely, probable, or certain.
Probable and certain both speak about something that may (or may not) happen in the future, but probable and possible speak about future possibilities in different ways.
What is Probable?‘Probable’ is high up on the scale of probability. If something is probable, then there is a high chance that something will happen. We can imagine that ‘probable’ is around 80% and up on the scale of probability.
If something is possible, it doesn’t mean it’s probable. However, if something is probable then it’s possible too. And if this confuses you then you’re probably in the right place.
Probable and certain are both on a scale of probability. Probability is the level of possibility or chance that something will happen or will be true in the present or future.
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the subject is polynomial
Answer:
3p^2 -6p +3
Step-by-step explanation:
(3p-3) ( p-1)
We can FOIL
first : 3p*p = 3p^2
outer: 3p * -1 = -3p
inner: -3*p = -3p
last: -3*-1 = 3
Add them together : 3p^2 -3p -3p +3
3p^2 -6p +3
Answer:
4th answer is correct
Step-by-step explanation:
( 3p - 3 ) ( p - 1 )
Multiply each term in ( p - 1 ) by 3p and -3.
3p ( p - 1 ) - 3 ( p - 1 )
Solve the brackets.
3p² - 3p - 3p + 3
Combine like terms.
3p² - 6p + 3
Marley owns a music store. The first week a new album was released, he sold 800 copies at his store. Each week after the release, the number of copies sold decreased by 11%
Select all the functions that can be used to find the number of copies sold, f(n), n weeks after the release.
The correct options that shows the the functions that can be used to get the number of copies are:
f(1) = 800 , f(n) = 0.89 * f(n-1) n ≥ 2Option 2 is also correctHow to find the number of copiesfirst week sold 800 copies
∴ at n=1 ⇒⇒⇒ f(1) = 800
Each week the number of copies sold decreased by 11%.
∴ at n = 2 ⇒ f(2) = 800 * (1-.11) = 800 * 0.89 = f(1) * 0.89
at n = 3 ⇒ f(3) = 800 * 0.89 *0.89 = 800 * 0.89² = f(1) * 0.89 * f(2)
at n = 4 ⇒⇒⇒ f(4) = 800 * 0.89³ = f(1) * 0.89 * f(3)
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A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 6
Spade 4
Club 7
Diamond 3
Determine the experimental probability of drawing a spade.
0.15
0.20
0.40
0.45
The experimental probability of drawing a spade is 0.2
How to determine the experimental probability?When we perform an experiment N times, and we got a given outcome K times, the experimental probability of said outcome is given by the quotient:
P = K/N
Here the experiment is performed:
N = 6 + 4 + 7 + 3 = 20 times
And a spade is drawn 4 times, then the experimental probability is:
P = 4/20 = 1/5 = 0.20
The correct option is the second one.
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I went hiking over the weekend. I hiked 1 3/4 miles when I came to a fork
in the trail. I went to the right. I hiked another 2 1/2 miles until I reached
the overlook. How far did I hike to get there?
O 4 1/4
O 4 1/2
O 4 1/3
O 4 1/5
Over the weekend, I went hiking. I had hiked 1 3/4 miles when I came to a trail fork. I turned to the right. I continued hiking for another 2 1/2 km till I arrived at the lookout. I hiked for A) 4 1/4 miles to get there.
In this question, we have been given that the person first hikes for 1 3/4 miles and then for 2 1/2 miles, so we will first convert them into mixed fractions and we will add the fractions.
Total miles hiked to get there = 1 3/4 miles + 2 1/2 miles
= 7 / 4 miles + 5/2 miles
= (7 + 10) / 2 miles
= 17 / 2 miles
= 4 1/4 miles
If the denominators of two fractions are the same (such fractions are said to be similar fractions), they can be added directly. If the denominators are different (such fractions are known as unlike fractions), we must change the denominators and then add the fractions.
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Given parallelogram ABCD, which statements would allow you to conclude that the parallelogram is a rhombus? Select all that apply.
~a.) Line Segment AD ≅ Line Segment AB
~b.) ∠DCE ≅ ∠BCE
~c.) Line Segment BC ⊥ Line Segment DC
~d.) Line Segment AC ⊥ Line Segment BD
~e.) Line Segment AB ≅ Line Segment DC
~f.) ∠ABC ≅ ∠CDA
The correct statements to conclude that a parallelogram is a rhombus are: a.) Segment AD ≅ Segment AB e.) Segment AB ≅ Segment DC
f.) ∠ABC ≅ ∠CDA
What is a parallelogram and its properties?In two dimensions, a parallelogram is a geometric figure with parallel sides. It has two parallel sides that are the same length, making it a four-sided polygon (sometimes called a quadrilateral). The sum of the adjacent angles of a parallelogram is 180 degrees. Parallelograms are a unique class of polygons.
To conclude that a parallelogram is a rhombus, we must show that all four sides are congruent (of equal length). Therefore, statements that provide information about the sides of a parallelogram can help us make this conclusion.
The correct statements to conclude that a parallelogram is a rhombus are:
a.) Segment AD ≅ Segment AB
e.) Segment AB ≅ Segment DC
f.) ∠ABC ≅ ∠CDA
These statements tell us that opposite sides are congruent and opposite angles are congruent, which are properties of a rhombus. However, the expressions b, c and d do not give information about the sides, so it cannot be concluded from them that the parallelogram is a rhombus.
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I NEED HELP ON THIS ASAP!!!
Answer:
Step-by-step explanation:
4,456,546
What is the slope of the line tangent to the curve y^3-xy^2+x^3=5 at the point (1,2)?
Options are as follows: A. 1/10
B. 1/8
C. 5/12
D. 11/4
The slope of the line tangent to the curve y³-xy²+x³=5 at the point (1,2) is option (B) 1/8.
To find the slope of the line tangent to the curve at the point (1,2), we first need to find the derivative of the curve with respect to x, and then evaluate it at x=1, y=2.
Taking the derivative of both sides of the equation y³-xy²+x³=5 with respect to x using the product rule, we get
3y²(dy/dx) - y² - 2xy(dy/dx) + 3x² = 0
Simplifying this expression and solving for dy/dx, we get:
dy/dx = (y² - 3x²)/(3y² - 2xy)
Substituting x=1 and y=2, we get:
dy/dx = (2² - 3(1)²)/(3(2)² - 2(1)(2))
dy/dx = (4 - 3)/(12 - 4)
dy/dx = 1/8
Therefore, the correct option is (B) 1/8
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Can you guys tell me what I did wrong
The circumference of the circle actually is 25.12 inches
What did you wrong?So the diameter is 8 inches, and the circumference is pi times the diameter, so you must have:
c = 3.14*8in = 25.12 inches
That is the circumference of the circle, im not sure of what did you did to ger 43.96 inches.
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Describe how the graph of ()=(.)− compares to the graph of ()=(.)f of open x close equals 4 . open 0.5 close to the x.
Enter your answer.
Every point on the graph of g(x) is 1 unit higher than the corresponding point on the graph of f(x).
Describing how the graph comparesGiven that
f(x) = 4(0.5)^x and g(x) = 4(0.5)^x + 1
The graphs of the functions f(x) = 4(0.5)^x and g(x) = 4(0.5)^x + 1 are both exponential functions with a base of 0.5.
The only difference between these two functions is the addition of a constant term of 1 to the second function.
This constant term shifts the graph of g(x) vertically upward by 1 unit compared to the graph of f(x).
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Complete question
Describe how the graph of f(x) = 4(0.5)^x compares to the graph of g(x) = 4(0.5)^x +1
Solving systems by eliminations; finding the coeficients
please write all the problems down on paper, 10 points for each problem, and Brainliest
On solving the provided question we can say that as a result, the system of equations' solution is: x = 12.62 and y = 4/13
What is equation?
A mathematical equation is a formula that links two statements and uses the equals sign (=) to indicate equality. In algebra, an equation is a statement that demonstrates the equality of two mathematical expressions.
We wish to eliminate one of the variables, either x or y, by adding or subtracting the two equations to solve this system of equations using the elimination technique. To do this, multiply one or both equations by a constant factor such that one of the variables has the same coefficient in both equations but with opposite signs.
By multiplying the first equation by 5 and adding it to the second, we can remove x. This results in:
5x - 10y = 60
5x + 3y = -44
-13y = -4
y = 4/13
We may now plug this y value into one of the original equations to find x. Let's look at the first equation:
x - 2y = 12
x - 2(4/13) = 12
13x - 8 = 156
13x = 164
x = 12.62
As a result, the system of equations' solution is:
x = 12.62 and y = 4/13
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A experiment involves flipping a coin and a dice. What is the probability for rolling a even number and landing on tails
The probability of rolling an even number on a dice is 1/2, since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, and 6).
The probability of landing on tails when flipping a coin is also 1/2, since there are only two possible outcomes (heads or tails) and they are equally likely.
To find the probability of both events happening together, we need to multiply their probabilities:
1/2 (probability of rolling an even number) x 1/2 (probability of landing on tails) = 1/4
Therefore, the probability of rolling an even number on a dice and landing on tails when flipping a coin is 1/4 or 0.25 (25%).
~~~Harsha~~~
The following images all include inverse relations of different functions.
Which images show an inverse relation that is also a function?
Select all that apply
Answer: The First Graph and the Last Graph
Step-by-step explanation:
So all of these are inverses of a function. But as for how do you tell if the inverse is a function...
Well, it has to pass the test that all functions have to pass: the Vertical Line Test.
Any time you draw a vertical line down a graph, it should ONLY PASS THROUGH ONE POINT.
Your pictures are a little blurry, but as far as I can tell, Graph 1 is pretty linear, and a vertical line drawn would only intersect one point on the graph.
The second one however... well it seems pretty obvious why the vertical line test wouldn't work there. A vertical line drawn on the right half would intersect two points, which does not pass the test.
Same thing for Graph 3.
Graph 4 looks like it would pass the vertical line test. I cannot see the section on the y-axis that well, but it looks like it doesn't double back on itself.
Just check them with the Vertical Line Test! It's really useful for figuring out if something's a function or not.
Javier buys 0.6 kilograms of sour cream and 1.4 kilograms of butter. What is the total cost?
sour cream
butter
plain yogurt
cream cheese
$2.15/kg
$1.00/kg
$1.19/kg
$2.26/kg
what is the answer?
The calculated value of the total cost of the sour cream and butter is $2.69.
Calculating the total costTo calculate the total cost of sour cream and butter, we need to multiply the weight of each item by its respective price per kilogram and then add the results.
The cost of 0.6 kilograms of sour cream is:
0.6 kg * $2.15/kg = $1.29
The cost of 1.4 kilograms of butter is:
1.4 kg * $1.00/kg = $1.40
Adding these two costs together, we get:
$1.29 + $1.40 = $2.69
Therefore, the total cost of the sour cream and butter is $2.69.
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Question 7 W
her checking account the must maintain a $500 balance to avoid a fee She wrote a check for $245 50 today Write and solve an
nequality that would be used for the least amount of money she needs to deposit to avoid a fee
-02c
A?
Answer:
500 ≥ 245.50
500 - 245.50 ≥ 0
254.50 ≥ 0
Therefore, she needs to deposit at least $245.50 to avoid a fee.
Step-by-step explanation:
Let x be the least amount of money she needs to deposit to avoid a fee.
The balance in her checking account after writing the check would be (500 - 245.50) = 254.50.
To avoid a fee, the balance must be greater than or equal to 500, so we can write the inequality as:
x + 254.50 ≥ 500
Solving for x, we get:
x ≥ 500 - 254.50
x ≥ 245.50
Mary, Jane, Tom, Andy saved for 6 weeks like this:
-
M: 2, 4, 8, 16,
J: 10, 12, 14, 16,
T: 7, 13, 19, 25,
A:
3,6,9..
Work out how much each person saved so that you can put their names in
order of how much they saved, from smallest to largest amount.
Enter your code as a four-lettered "word"
PLEASE I NEED AN ANSWER BY TONIGHTTTTT
Find the measure of a central angle of a regular polygon with 24 sides. Round your answer to the nearest tenth of a degree, if necessary.
The measure is _____º
The measure of a central angle of a regular polygon with 24 sides is 15 degrees.
What is a polygon?A polygon is a two-dimensional geometric shape that is defined by a closed chain of line segments, also known as sides. These line segments must be joined end to end to form a closed shape, with no curves or self-intersections. The word "polygon" comes from the Greek words "poly" meaning "many" and "gon" meaning "angle".
To find the measure of a central angle of a regular polygon with 24 sides, we can use the formula:
central angle = 360 degrees / number of sides
Substituting the given value, we get:
central angle = 360 degrees / 24 = 15 degrees
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i need help someone . i need help on my iready
It wants you to multiply (5) x (8) = 40/3
Christian uses 3 baskets for his pine cone collection. There are
9 pine cones in each basket. How many pine cones does
Christian have?
Let p stand for the number of pine cones Christian has. Which equations
can be used to solve the problem? Choose ALL the correct answers.
p=9 x 3
9 = 3 х р
p=9÷3
p=3x9
The equation that represent the number of pine cones Christian has is A)p=9 x 3 and D)p=3x9.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here Number of pine cone basket does Christian have = 3
Number of pine cone in One basket = 9.
Then the equation is,
Number of pine cones Christian has = 3 × 9
=> p = 3 × 9 or p = 9×3.
Hence the correct equation is A)p=9 x 3 and D)p=3x9.
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Sid walked 4 miles in 2 1/4
hour.
hours. Find his walking rate in miles per hour
Answer: 1.7(repeating) OR 1.78
Step-by-step explanation:
Divide 4 by 2.25 (2 1/4)
NEED HELP ASAP, WILL GIVE BRAINLIEST!!
In the figure shown, angle 1 has a measure of 90° and angle 2 has measure of 38°. Using angles 4, 3, and 2 write an equation and solve for angle 3. Then solve for angle 6 & 5.
Equation for Angle 3-
Angle 3=
Angle 5=
Angle 6=
Answer:
Equation for Angle 3- 90-38=52
Angle 3= 52
Angle 5= 38
Angle 6= 52
Step-by-step explanation:
Angle is 90 degrees.
Angle 2 is 38 degrees.
If you are just looking at the bottom half(Angle 6, Angle 1, and Angle 2) They are all supposed to add up to equal 180 degrees because it is a supplementary angle.
So you add 90 and 38 and it gives you 52(Angle 6).
90+38+52=180
Then a complementary angle is two angles that equal 90 degrees.
So if you take Angle 2(38 degrees) and subtract it from 90, you get 52. Which is Angle 3.
You do the same with Angle 6 and Angle 5.
Angle 6(52 degrees) subtract from 90 and you get 38.
Then you add 38 and 52 and you get 90.
Then 180-90=90, so Angle 4 is 90 degrees.
The circumference of a circle is 7(pie)cm. What is the area, in square centimeters?
Express your answer in terms of TT(pie).
If circumference of a circle is 7π cm then area of circle is 38.465 square centimeter
The circumference of a circle is 7π cm
We have to find the area of the circle
To find area we have to know the radius
Circumference = 2πr
7π= 2πr
r=7/2
= 3.5 cm
Area of circle = πr²
=3.14×(3.5)²
=3.14×3.5×3.5
=38.465 square centimeter
Hence, if circumference of a circle is 7π cm then area of circle is 38.465 square centimeter
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have you ever been frustrated because you could not get a container of some sort to release the last bit of its contents? an article reported on an investigation of this issue for various consumer products. suppose five 6.0 oz tubes of toothpaste of a particular brand are randomly selected and squeezed until no more toothpaste will come out. then each tube is cut open and the amount remaining is weighed, resulting in the following data: 0.51, 0.63, 0.42, 0.5, 0.37. does it appear that the true average amount left is less than 10% of the advertised net contents?
The null hypothesis is that the true average amount left is equal to 10% of the advertised net contents. In In another case of true average amount is less than 10% of the advertised net contents.
Hence, we will utilize one-tailed t-test with a significance level of 0.05 to test this hypothesis.
The sample mean of the five tubes is (0.51+0.63+0.42+0.5+0.37)/5 = 0.486 ounces.
The sample standard deviation is √(((0.51-0.486)² + (0.63-0.486)² + (0.42-0.486)² + (0.5-0.486)² + (0.37-0.486)²)/4) = 0.107 ounces.
The t-statistic is calculated as
(mean sample - hypothe -sized mean)/( standard deviation sample/√( size sample))
= (0.486 - 0.6)/(0.107/√(5))
= -3.06.
The p-value for this test is 0.0249 which is less than our significance level of 0.05.
Therefore, we reject the null hypothesis and conclude that there is evidence that the true average amount left in a tube of toothpaste is less than 10% of the advertised net contents.
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Can you pls help? This is geometry
The equation of the circle is (x - 2)²+ (y - 3)² = 169
Define circleA circle is a two-dimensional form that may be described as a collection of points that are equally spaced apart from a central fixed point. The radius of a circle is the separation between its centre and any other point on the circle. Another way to think of a circle is as the collection of all points at a certain radius from the centre.
The following is the equation for a circle with centres (a, b) and radius r:
(x - a)² + (y - b)² = r²
In this case, the center of the circle is A(2,3), and a point on the circle is B(7,15). The radius of the circle may be calculated using the distance formula:
r = √((7 - 2)² + (15 - 3)²) = √(5² + 12²) = 13
So the equation of the circle is:
(x - 2)² + (y - 3)² = 13²
(x - 2)²+ (y - 3)² = 169
Therefore, the equation of the circle is (x - 2)²+ (y - 3)² = 169
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True/False: an analysis of variance (anova) can be used to determine differences in test scores of more than two groups.
Analysis of variance can be used to determine differences in test scores of more than two groups. It is true.
What is variance?
Apart from the measurement of statistics range and interquartile range, variance is a measure of dispersion that takes into account the spread of all data points in a data set. It is the measure of dispersion which has the most often utility, along with the standard deviation, which is nothing but the square root of the variance.
An analysis of variance (ANOVA) is called an analysis tool in statistics which separates an observed aggregate variability which is found inside a two part data set.
As ANOVA is the extension of of t-tests and z-tests so a one way ANOVA can be used for three or more groups of data in the purpose to gain information about the relationship in between dependent and independent variable.
So ANOVA can be used to determine differences in test scores of more than two groups.
Hence, the statement is true.
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A polynomial p(x) has a relative maximum at (-2, 4), a relative minimum at (1,1), and a relative maximum at (5,7) and no other critical points. How many real zeros does p(x) have?a) oneb) twoc) threed) foure) five
The polynomial p(x) has option (c) three real zeros because it has a relative maximum at (-2, 4), a relative minimum at (1,1), a relative maximum at (5,7), and a negative leading coefficient.
Since p(x) has a relative maximum at (-2, 4), a relative minimum at (1,1), and a relative maximum at (5,7), it means that the degree of the polynomial must be odd and at least three.
Moreover, we know that p(x) has no other critical points. This means that p(x) does not change sign between these relative extrema, which in turn implies that there are no real zeros between these extrema.
Therefore, the number of real zeros of p(x) is either one or three. To determine the answer, we need to consider the leading coefficient of p(x).
If the leading coefficient is positive, then p(x) must eventually increase on both ends, since the degree is odd. This means that there is exactly one real zero.
If the leading coefficient is negative, then p(x) must eventually decrease on both ends. In this case, since there are three relative extrema, there must be three real zeros.
Thus, we need to find the sign of the leading coefficient of p(x). This can be done by looking at the relative extrema.
Since p(x) has a relative maximum at (-2, 4), we know that the leading coefficient is negative.
Therefore, the correct option is (c) three.
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A polynomial with n turning points has a degree of at least n + 1. Therefore, the polynomial p(x) must have a degree of at least 4. Since a polynomial of degree 4 can have up to 4 real zeros, the answer is d) four real zeros.
A polynomial p(x) has a relative maximum at (-2, 4), a relative minimum at (1, 1), and a relative maximum at (5, 7), with no other critical points. This means there are turning points at these coordinates. Since there are two relative maxima and one relative minimum, the polynomial must have at least 3 turning points.
A polynomial with n turning points has a degree of at least n + 1. Therefore, the polynomial p(x) must have a degree of at least 4. Since a polynomial of degree 4 can have up to 4 real zeros, the answer is d) four real zeros.
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Calculate the floor space of Firm 1's structure.
Floor space (Volume) of Firm 1's structure (cylinder) is 230907.06 cubic ft
≈ 2.31 × 10⁵cubic ft.
What knowledge about volume do you have ?Volume is characterised as the three dimensional quantity that is used to guage the capacity of a solid shape. It implies the amount of three dimensional space a closed figure can fill. It is measured by its volume . Some times volume can be interchanged as capacity. For instance, the amount of water a cylindrical jar can occupy is measured by its volume .
The unit of volume is cubic units such as cubic meters, cubic centimeters , cubic millileters among others .
Volume is gauged by multiplying the area of the shape with its third dimension .
When do we refer to a shape as a cylinder ?A cylinder is a three dimensional space made up of two circular bases that are parallel to one another and are connected by a curved surface
Volume of the cylinder = [tex]\pi r^{2} h[/tex]
where r = radius of the cylinder
h = height of the cylinder
Here given that, diameter of the cylinder = 70 ft
∴ radius of the cylinder = 35 ft
Additionally, height of the cylinder = 60 ft
∴ Volume of the cylinder = [tex]\pi[/tex]× (35)²× 60 = [tex]\pi[/tex]× 1225 × 60
= 3.14 × 1225 × 60 = 230907.06 cubic ft ≈ 2.31 × 10⁵ cubic ft .
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use strong induction to show that any counting number can be written as the sum of distinct powers of 2.
Any counting number can be written as the sum of distinct powers of 2.(proved).
What is counting number?
Counting numbers are nothing but the natural numbers that can be used for counting. The numbers start from 1 and the series continues as 1, 2, 3, 4, 5, 6,-- and so on. Zero can not be included in counting numbers because we cannot count 0.
To prove this statement we have to consider two cases.
Let, n be any counting number or natural number. Then the power of 2 can be written as 2ⁿ.
n can be even or odd.
n=1:
If n=1 then it can be written as 2⁰
Let us assume that for n≤ k that n can be written as the sum of distinct powers of 2.
Now let us take, n= k+1.
Here one case is n is odd.
Then n≤ k+1
so, n-1≤ k
By the induction hypothesis n-1 can be written as distinct power of 2.
n is the sum of these distinct powers of 2 as well 2⁰, which is not among them. as n-1 is even.
Now if n is even,
so n=2m (say) for m≤ k
Thus, by the induction hypothesis m can be written as distinct power of 2.
If for each power of 2 in this sum , increment the exponent by 1 then the resulting sum of distinct powers of 2 equals n= 2m
Hence, the statement is true.
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a=
B=
C=
what is A,B and C
A. (-1, A)
B. (2, infinite)
C: (-infinite, - 1)
(pls let me know if I'm wrong and if I am I'm very sorry.)
Equation
Situation
A plant in Zahra's garden grows 0.8 inches
taller each week. After x weeks, the plant has
grown 6 inches.
Meaning of x
Answer:
if no initial high im guessing 4.8 weeks
Step-by-step explanation:
4.8 divied by .8 = 6
Answer:
7 week 3 days and 12 hour
Step-by-step explanation:
x is the required week and to calculat it
1st for 1 week= o.8 inch
x = 6 inch
2nd u solve it after u solve it u get 7.5 but week dosen't said by decimals so u will multiply 0.5 by days of the week which is 7 .
3rd u will get 3.5 as we said before for days we can't use decimals so yo will multiply 0.5 by hour which 24 then u will get 12 . so the answer is 7 week 3 days and 12 hour .