the price of a new app was reduced from 24.50 to 15.19. what percentage was the price of the app reduced.
4
Based on the March expense statement, what proportion of Maria's total expenses are for her car?
A. Less than one quarter.
B. More than a quarter but less than half.
O C. More than three-quarters.
D. More than half but less than three-quarters.
Auto
Check Number 87
Credit Card March)
Clothing
Marla's Expense 1
Get Card Mash
Food
Credit Card Mesh &
Sends Card March 11
Petal food
Cash Paya
Para Coch
Total
Out of Maria's total expenses, the proportion of expenses for her car would be 0. 57 .
How to find the proportion ?To find the proportion, the formula would be :
= Maria total car expenses / Maria total expenses for the month
Maria total car expenses = $ 290. 02
Maria total expenses for the month = $ 507. 59
The proportion of expenses for her car would be :
= 290. 02 / 507. 59 x 100 %
= 0. 57 x 100 %
= 57 %
In conclusion, Maria's car alone takes over 0. 57 or 57 % of her total expenses.
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Can someone help me with this problem please? I'm really struggling :(
smaller leg is the smaller side
longer leg is the longer side
hypotenuse is the longest side
triangle a example:
smaller leg: 8-5 = 3
longer leg: 2-(-8) = 10
hypotenuse: use the formula a^2 + b^2 = c^2 (not needed since the side lengths are already given)
Joe works in a
cafe. He is paid a per hour. How much klage of $19.26 would 4 Joe earn for working a 35 low week
Answer:
To calculate how much Joe would earn for working a 35-hour week, you need to multiply his hourly wage by the number of hours he worked123. For example, if Joe is paid $19.26 per hour, then his weekly pay is:
$19.26 x 35 = $673.10
This is his gross pay, which means it does not include any deductions for taxes or other benefits. His net pay, or take-home pay, may be lower depending on his filing status, allowances, withholding information and voluntary deductions1. You can use an hourly paycheck calculator to estimate his net pay1.
I hope this helps you understand how to calculate hourly pay. If you have any other questions, please let me know.
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answer:
it's -1,-1
Step-by-step explanation:
It's one solution but it's not there so the point on the graph is -1,-1 which is D or the last one
This is for the following two questions.
A couple plans to retire in 35 years. At that time, they would like to have enough money in an account so that they can receive a $6,000 every month end for the next 25 years. The account earns 8% APR compounded monthly and will continue to do so until there is a zero balance in the account.
To achieve this goal, how much money does the couple need to have in this account by the time they retire?
$______________(xxx.xx)
continued from above
If they have not saved any money yet, how much does the couple need to deposit each month end until they retire?
$______________(xxx.xx)
Answer:
$777,387.14$338.90Step-by-step explanation:
You want to know the value required in an account so that it can support withdrawals of $6000 per month end for 25 years, if the account earns 8% compounded monthly. And you want to know the month-end payment required into such an account to reach that value in 35 years.
Present valueThe present value of an account that supports withdrawals of $6000 per month for 25 years is shown in the first calculation in the attachment. That amount is $777,387.14.
Future valueThe future value of payments into the account must be that amount at the end of 35 years. The second calculation in the attachment shows that payment amount. It is $338.90.
__
Additional comment
The amortization formula can be used to find the account value needed at retirement.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where A is the monthly payment, P is the needed account value, r is the annual interest rate and n=12 is the number of periods per year for t=25 years.
The monthly payment P required to achieve the account balance A can be found from the annuity formula:
A = P((1 +r/n)^(nt) -1)/(r/n)
For this, t=35 years.
In each of these cases, the equation needs to be solved for P.
A model of a truck is built to a scale of 1 to 54. If the model casts a shadow of 8 square inches, how large a shadow will the actual truck cast?
A.
36 square feet
B.
729 square feet
C.
162 square feet
D.
288 square feet
The size of the shadow cast by the actual truck as required to be determined in the task content is; Choice A; 36 square feet.
What is the size of the shadow cast by the actual truck?It follows from the task content that the size of the actual truck is to be determined given the model size and the model scale.
Since the model scale is 1 to 54 and the model casts a shadow of 8 square inches; we have that;
1 / 54 = 8 / x where x is the size of the shadow cats by the actual truck.
There; x = 54 × 8 = 432 square inches.
However, recall that 12 inch units represents a feet; therefore, we have that;
x = 432 / 12
x = 36 square feet.
Consequently, the size of the actual shadow cast by the truck is; Choice A; 36 square feet.
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what series converge test do I use?
The series converge test to use for expression is ratio test.
What is the series converge test to use?The ratio test is determined or applied as follows;
In a ratio test for a series ∑a_n, lim(n→∞) |a_{n+1}/a_n| = L
if L < 1, then the series converges absolutely.
if L > 1, then the series diverges.
if L = 1, then the test is inconclusive.
So if we apply the ratio test to the series ∑^∞_{n=1} (2⁻³ⁿ7ⁿ)
|a_{n+1}/a_n| = |(2⁻³⁽ⁿ ⁺ ¹⁾)7⁽ⁿ ⁺ ¹⁾) / (2⁻³ⁿ7ⁿ)|
= |2⁻³ x 7 / 7|
= 2⁻³
= 1/8
L = 1/8 and it is less than 1, so the series converges absolutely.
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the points on the graph show the number of miles that jing rode during the first 4hrs of a bike trip jing plans to keep the same speed for the rest of the trip which ordered pair shows an equivalent ratio of hrs in miles
The ordered pair that shows an equivalent ratio of hours to miles is (1, 12) and Jing will complete a 60-mile trip in approximately 5 hours.
To find an equivalent ratio of hours to miles, we need to divide the number of miles by the number of hours.
For example, for the first 4 hours of the bike trip, Jing rode 48 miles, which is equivalent to a rate of 12/4 = 3 miles per hour.
Since Jing rode 60 miles in the first 4 hours of the trip, we can use this rate to find the time it takes her to ride 60 miles.
We can set up a proportion:
12 miles / 1 hours = 60 miles / x hours
Cross-multiplying, we get:
12x = 60
Dividing by 12, we get:
x = 60/12
x = 5
Therefore, Jing will complete a 60-mile trip in approximately 5 hours.
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The missing figure is attached below.
Three oblique pyramids have the same regular square base. Which one has a volume of 15 cubic units if the area of the bases are all 15 square units?
An oblique triangular pyramid is shown. The slant height is 5, the vertical height is 4, and the base of the triangle formed is 3.
An oblique triangular pyramid is shown. The slant height is 5, the vertical height is 3, and the base of the triangle formed is 4.
An oblique triangular pyramid is shown. The slant height is 15, the vertical height is 12, and the base of the triangle formed is 9.
The height of the oblique triangular pyramid is 15 units if the base area of 15 square units and a volume of 20 cubic units.
Volume is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of an oblique triangular pyramid is given by:
V = 1/3b h
Where b is the area of the base and h is the height of the pyramid.
We have b = 15 square units and V = 15 cubic units.
h = 4 units
V = 1/3 x 15 x 4
V = 20
Thus, the height of the oblique triangular pyramid is 15 units if the base area of 15 square units and the volume of 20 cubic units.
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Answer:
Middle or B on edge
Step-by-step explanation:
Diego and Yoni were performing a science experiment. Diego added 5 mL of a chemical to 2 gallons of water
during the experiment. Yoni added 4.5 mL of the same chemical to 1.5 gallons of water during the
experiment.
Complete the sentence by selecting the correct answers.
The best selection is -
more
Bless
2. The best selection is -
A 5 mL is greater than 4.5 mL
5:2 is greater than 4.5:1.5
4.5:1.5 is greater than 5:2
Diego used 1 of the chemical per gallon than Yoni because 2
bir school about their favorite class. Based on the graph, how many of the 63
Diego used more of the chemical per gallon than Yoni is the correct answer for completing the sentence.
To compare the amount of chemical used by Diego and Yoni, we need to find the ratio of the chemical to water for each of them. For Diego, he added 5 mL of chemical to 2 gallons of water. We can convert the volume of water to mL by multiplying by 3785.41 (the number of mL in a gallon):
5 mL : 2 gallons = 5 mL : (2 x 3785.41 mL) = 5 mL : 7570.82 mL
Simplifying this ratio, we get:
1 mL : 1514.16 mL
For Yoni, he added 4.5 mL of chemical to 1.5 gallons of water. Converting the volume of water to mL as before, we get:
4.5 mL : 1.5 gallons = 4.5 mL : (1.5 x 3785.41 mL) = 4.5 mL : 5678.11 mL
Simplifying this ratio, we get:
1 mL : 1262.47 mL
Comparing the two ratios, we can see that Diego used more chemical per gallon than Yoni:
1 mL : 1514.16 mL > 1 mL : 1262.47 mL
Therefore, the correct completion of the sentence is "Diego used more of the chemical per gallon than Yoni."
In summary, we can use ratios to compare the amount of chemical used by Diego and Yoni in their experiment. By converting the volume of water to mL and simplifying the ratios, we find that Diego used more of the chemical per gallon than Yoni.
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3 Which two-dimensional figure is always a regular quadrilateral? A rhombus B polygon ,C square ,D trapezoid,?
Answer:
C
Step-by-step explanation:
a quadrilateral has 4 sides
The two-dimensional figure is always a regular quadrilateral is square. Therefore, the correct answer is option C.
Having four sides makes a polygon a quadrilateral. Quadrilaterals include shapes like rectangles, squares, rhombuses, parallelograms, trapezoids, etc. A regular quadrilateral needs four equal sides, four equal angles, and a diagonal that cuts through both of its other sides. The only quadrilateral that meets each of these requirements is the square.
So, the regular quadrilateral is square.
Therefore, the correct answer is option C.
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solve by elimination:
x-3y=16
-5x+3y=-20
Answer:
x = 1
y = -5
Step-by-step explanation:
x - 3y = 16
-5x + 3y = -20
Combine the equations
-4x = -4
x = 1
Now put 1 in for x and solve for y
1 - 3y = 16
-3y = 15
y = -5
Let's Check
1 - 3(-5) = 16
1 + 15 = 16
16 = 16
SO, x = 1 and y = -5 is the correct answer.
5 pts 1 Details
The drug Lipitor is meant to reduce total cholesterol. In clinical trials, 213 out of 333 patients taking 10mg
of Lipitor daily complained of flu-like symptoms. A patient advocacy group claims that the proportion of
patients taking Lipitor who experience flu-like symptoms is at least 70%. Use a 0.05 significance level to
test the claim.
Claim: Select an answer which corresponds to [Select an answer
Opposite: Select an answer which corresponds to [Select an answer
stion 3
The test is: Select an answer
The test statistic is:
(to 2 decimals)
The p-value is:
(to 4 decimals)
Based on this we: Fail to reject the null hypothesis
Conclusion There does
appear to be enough evidence to support the claim that the
proportion of patients taking Lipitor who experience flu-like symptoms is at least 70%.
The claim can be said that the proportion of patients taking Lipitor who experience flu-like symptoms is at least 70%.
Opposite: The proportion of patients taking Lipitor who experience flu-like symptoms is less than 0.7.
The test can be said that the one-tailed z-test for proportions that has a significance level of 0.05.
The test statistic is z =- -1.96
The p-value is: 0.0406.
Based on this we: reject the null hypothesis.
Conclusion: we can say that there is not enough evidence to support the claim that the proportion of patients taking Lipitor who experience flu-like symptoms is at least 70%.
Describe some flu-like symptoms?The flu-like symptoms includes fever, chills, headache, muscle or body aches, cough, sore throat, runny nose, and diarrhea.
We can test the statistic using the formula:
z = (/p - p) / √(p x (1-p) / n)
where /p = sample proportion = 213/333 = 0.639
p = hypothesized proportion under the null hypothesis = 0.7
n = sample size = 333
z = (0.639 - 0.7) / √(0.7 * (1-0.7) / 333)
z = -1.96
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A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test model, the wheel placement (center) and radius are modeled by the equation (x+3)^2 + (y-1)^2 = 25. Which graph shows the position and radius of the wheels? * 1 point
College level Trigonometry any help will do thanks!
The hill makes an angle of approximately 11.98 degrees with the horizontal.
How to calculate the angleFrom the information, a force of 5 lb is required to hold a 24-lb crate on a hill and we want to know the angle that the hill make with the horizontal.
F = W * sin(θ)
where sin(θ) is the sine of the angle θ.
Solving for sin(θ), we get:
sin(θ) = F / W
= 5 lb / 24 lb
≈ 0.2083
θ = arcsin(0.2083)
≈ 11.98 degrees
Therefore, the hill makes an angle of approximately 11.98 degrees with the horizontal.
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A statuim sold 33,300 tickets to a concert. What is the digit in the ten place
3 is the digit in the ten places of 33,300.
The ten-place digit is the second digit from the right in a whole number.
To find the digit in the ten places of 33,300, we need to divide the number by 10 and then take the remainder when divided by 10.
33,300 divided by 10 is 3,330 with a remainder of 0.
So the digit in the ten places of 33,300 is 3.
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Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.
The difference between the lower quartile of Data Set A and the lower quartile of Data Set B is 0.
How to measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B?The lower quartile (Q1) of a data set is the value under which 25% of data points are found when they are arranged in increasing order.
Data set A:
34, 34, 37, 39, 41, 42, 44, 45, 45, 45, 46, 48
The main median (Q2) is 42 and 44.
Considering the lower part:
34, 34, 37, 39, 41
The median is 37. Thus, the lower quartile is 37
Data set B:
37, 37, 37, 39, 39, 40, 40, 41, 41, 41, 42, 43
The main median (Q2) is 40 and 40.
Considering the lower part:
37, 37, 37, 39, 39
The median is 37. Thus, the lower quartile is 37
Difference = 37 - 37 = 0
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GRAPH
3x + 4y > 2
y> - 3/4 x + 1/2
The region above the line 3x + 4y > 2 is considered.
Given that:
Inequality, 3x + 4y > 2
The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph.
Convert the inequality into intercept form, then we have
3x + 4y > 2
x / (2/3) + y / (1/2) > 1
Make a dashed line and the region above the line is considered.
The diagram is given below.
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The polynomial -24x² +337x-138represents the average number of visitors (in thousands) per day to a park area, where x represents the month of the year. Use this model to predict the average daily attendance at the park for the month of April. (Hint- April is the fourth month.)
For the month of April, the park is expected to get an average of 826 thousand people every day.
To predict the average daily attendance at the park for the month of April, we need to substitute x = 4 in the given polynomial and simplify:
-24x² +337x-138 = -24(4²) + 337(4) - 138
= -24(16) + 1348 - 138
= -384 + 1210
= 826
Therefore, the predicted average daily attendance at the park for the month of April is 826 thousand visitors per day.
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Building codes generally require that the ventilating area be not less than
1/150 of the area of the floor of the attic space being ventilated. If the attic of a house is 70 feet by 65 feet, what is the minimum number of square inches of ventilation needed?
The minimum number of square inches of ventilation = 4,367
Given that;
Area of ventilation should not be less than 1/150
Attic of house = 70ft X 65ft
The attic floor's overall size is:
Area is = length x breadth.
Area of 70 ft X 65 ft = 4,550 square feet
We must now locate 1/150th of this area: 30.333 square feet
= 1/150 x 4,55
Convert square feet to square inches as it need the result in square inches.
1 square foot is 144 square inches,
Thus, 30.333 x 144 = 4,366.752 square inches.
Consequently, 4,367 square inches or less of ventilation space is required as a minimum.
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50 points
Jessica obtains a loan for home renovations from a bank that charges simple interest at an annual rate of 9.65%. Her loan is for $17,100 for 54 days. Assume each day is 1/365 of a year. Answer each part below.
Do not round any intermediate computations, and round your final answers to the nearest cent.
(a) Find the interest that will be owed after 54 days: $
(b) Assuming Jessica doesn't make any payments, find the amount owed after 54 days: $
Answer:
$17,184.80.
Step-by-step explanation:
Jessica's loan for home renovations is for $17,100 for 54 days. The bank charges simple interest at an annual rate of 9.65%. To calculate the interest charged, first, we need to find the daily interest rate, which is 9.65% divided by 365, resulting in 0.0264%. The total interest charged on the loan is $84.80, which is calculated by multiplying the daily interest rate by the loan amount and the number of days (0.000264 x $17,100 x 54). Therefore, Jessica's total amount owed to the bank at the end of the loan term is $17,184.80.
Given the graph below, which of the following statements is true?
64 32
-5-4-3-2-11 1 2 3 4 5
-2
The graph represents a one-to-one function because every x-value is paired with only one y-value.
O The graph represents a one-to-one function because it is defined for all x-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-
values.
The graph doesn't represent a one-to-one function because certain y-values between 0 and 2 are paired with multiple x-values(D). A one-to-one function requires each x-value and y-value to be paired uniquely.
Explanation:Based on your question, it seems that the graph is displaying a situation where certain y-values between 0 and 2 are associated with multiple x-values(D). In this case, the graph does not represent a one-to-one function. This is because a one-to-one function, by definition, must have each y-value corresponding to exactly one x-value and each x-value corresponding to exactly one y-value. Passing through the origin, or being defined for all x-values, is not a necessary condition for a function to be one-to-one. The key definition of one-to-one functions lies in the uniqueness of the pairs.
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Given vector u=<3,-4> find magnitude and degree
The sum of magnitude of u + v is 15.99.
What is magnitude?The magnitude or size of a mathematical object is described as a property which determines whether the object is larger or smaller than other objects of the same kind.
Given that, magnitude of u = 5
Magnitude of v = 11
The angle between them i= 40°
we represent u and v in vector form,
u = 5 ( cos 40° i + sin 40° j ) = 3.83 i + 3.21 j
v = 11 ( cos 40° i + sin 40° j ) = 8.42 i + 7.07 j
The sum of two vectors is given by
u + v = 3.83 i + 3.21 j + 8.42 i + 7.07 j
u + v = 12.25 i + 10.28 j
Magnitude of u + v = √(12.25²+10.28²)
Magnitude of u + v
Magnitude of u + v = √( 150.063 + 105.678)
Magnitude of u + v = 15.99
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complete question:
Given the magnitudes of vectors u and v and the angle θ between them, find sum of . Give the magnitude to the nearest tenth when necessary and give the direction by specifying the angle that the resultant makes with u to the nearest degree. ∣ u∣ = 5, ∣ v∣ = 11, θ = 40°
Step 1: Subtract 3 from both sides of the inequality.
Step 2:
Step 3: Divide both sides of the inequality by the
coefficient of x.
D
What is the missing step in solving the inequality 5-
8x < 2x + 3?
O Add 2x to both sides of the inequality.
O Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
O Add 8x to both sides of the inequality.
The missing step in solving the inequality is: Add 8x to both sides of the inequality.
What is an inequality?Inequality is a topic in mathematics which deals with expressions or equations which do not have a definite answer. Thus they consist of greater than, less than, greater than or equal to, less than or equal to symbols.
In the given inequality; we have;
5 - 8x < 2x + 3
Subtract 3 from both sides
5 - 8x - 3 < 2x + 3 - 3
2 - 8x < 2x
Add 8x to both sides of the inequality
2 - 8x + 8x < 2x + 8x
2 < 10x
Divide both sides by the coefficient of x
2/10 < 10x/10
x > 2/10
The step that is missing is: Add 8x to both sides of the inequality
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there are many possible equations you could create to equal 36 using the chart above. describe the steps you used to create you equations
The possible equations equals to 36 are:
9E = 36
6G = 36
4L = 36
9E + A = 36
5H + B = 36
3N + D = 36
3N + B + C = 36
2K + M + 2F = 36
2K + M + E + G = 36
Given that here,
A = 0, B = 1, C = 2, D = 3, E = 4, F = 5, G = 6, H = 7, K = 8, L = 9, M = 10, N = 11
The Answer will be 36 that is the right side of the equation must be 36.
Then the possible equations in one variable will be:
9E = 9*4 = 36
6G = 6*6 = 36
4L = 4*9 = 36
The possible equations in two variables will be:
9E + A = 9*4 + 0 = 36
5H + B = 5*7 + 1 = 36
3N + D = 3*11 + 3 = 36
The possible equations in three variables will be:
3N + B + C = 3*11 + 1 + 2 = 36
2K + M + 2F = 2*8 + 10 + 2*5 = 36
The possible equations in four variables will be:
2K + M + E + G = 2*8 + 10 + 4 + 6 = 36
Hence, the possible equations are:
9E = 36
6G = 36
4L = 36
9E + A = 36
5H + B = 36
3N + D = 36
3N + B + C = 36
2K + M + 2F = 36
2K + M + E + G = 36
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The question is incomplete. The complete question will be -
"There are many possible equations you could create to equal 36 using the chart above. describe the steps you used to create you equations"
2tabs 3x per day 14 day supply 15 tabs per bottle what is the total quantity needed?
6 bottles are needed.
Given: 2 tablets 3 times per day
so, total tablets = 6 tablets
Total days = 14
so, total tablets in 14 days = 14 x 6 = 96
and, tablets per bottle= 15
Then, the number of bottles required = 96 /15 =6.4
Hence, 6 bottles are needed.
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The complete question is =
2 tablets 3 times per day 14 day supply 15 tablets needed per bottle. How many bottles are needed
The second side of a triangle is two more than the first side and the third side is three less than the first side. What expression represents the perimeter of the triangle
The expression 3x - 1 represents the perimeter of the triangle in terms of the length of its first side.
Let the first side of the triangle be represented by 'x'.
According to the given information, the second side is two more than the first side, so it can be represented by x + 2.
Similarly, the third side is three less than the first side, so it can be represented by x - 3.
The perimeter of a triangle is the sum of all its sides. Therefore, the expression representing the perimeter of the triangle can be obtained by adding the lengths of all the sides:
Perimeter = x + (x+2) + (x-3)
Simplifying this expression, we get:
Perimeter = 3x - 1
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How many rectangles can you make that will fit on a 4 ✕ 4 geoboard such that none of them are congruent? (not 31 or 70)
We can make 30 non congruent rectangles.
There are several approaches to this issue, but one is to count the number of rectangles of various sizes.
A 4x4 geoboard can contain the following:
1 rectangle is of size = 4x4
4 rectangles are of size = 3x3
9 rectangles are of size = 2x2
16 rectangles are of size = 1x1
Use the following formula to determine the number of rectangles can be created within given these dimensions:
(Number of rows + 1 - Height of rectangle) (Number of columns + 1 - width of the rectangle)
For instance, we have (4 + 1 - 2) while counting the number of 2x2 rectangles. × (4 + 1 - 2) = 3 × 3 = 9
The total number of rectangles can be calculated as follows:
1 + 4 + 9 + 16 = 30.
So, on a 4x4 geoboard, there are 30 rectangles that can be created, none of which can be congruent.
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A dartboard has equally sized slices numbered from to .
Some are grey and some are white.
The slices numbered , , and are grey.
The slices numbered and are white.
A dart is tossed and lands on a slice at random.
Let be the event that the dart lands on a grey slice, and let be the probability of .
Let not be the event that the dart lands on a slice that is not grey, and let not be the probability of not .
(a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.
The table shows a dartboard with 10 slices numbered from 1 to 10. X is the event that the dart lands on a grey slice, and not X is the event that it lands on a non-grey slice. The probability of X is 5/10 or 0.5. The probability of not X is 1 - P(X) or 0.5.
The dartboard has 10 equally sized slices numbered from 1 to 10, some of which are grey and some are white. X is the event that the dart lands on a grey slice and P(X) is the probability of X. The event not X is the event that the dart lands on a slice that is not grey, and P(not X) is the probability of not X.
The table asks to check the outcomes contained in the event and enter the probability of the event in the last column. In the table, the outcomes are given as 1 to 10, and X represents the event that the dart lands on a grey slice. The probability of X, P(X), is given as 5/10 or 0.5. The event not X represents the event that the dart lands on a slice that is not grey. Since there are 5 white slices, P(not X) = 5/10 or 0.5.
We need to subtract P(X) from 1 to get P(not X), since they are complementary events. Thus, P(not X) = 1 - P(X). Substituting the value of P(X) from part (a), we get P(not X) = 1 - 0.5 = 0.5.
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A dartboard has 10 equally sized slices numbered from 1 to 10. Some are grey and some are white, as shown on the right. A dart is tossed and lands on a slice at random. Let X be the event that the dart lands on a grey slice, and let P (X) be the probability of X Let not X be the event that the dart lands on a slice that is not grey, and let P(not X) be the probability of not X. (a) For each event in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes Event Probability x 5 ? 1 2 3 4 5 6 7 8 9 10 XDDDDDDDDD P(x) - noe x DDO D P(noe x) = 0 (b) Subtract. Explanation Check 2013 M ARS OF Type here to search (a) For each event in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes Event Probability 10 X 5 ? 1 2 3 4 5 6 7 8 9 x DOODGOOD not x o c (b) Subtract. 1 - P(x) - 0 P(x) = 1 P(not x) = 0 "--
