The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 2". Find P(A). Outcome Probability 1 0.04 2 0.099 3 0.295 4 0.021 5 0.091 6 0.009 7 0.003 8 0.442.
Answers
Consider that the possible outcomes are 1, 2, 3, 4, 5, 6, 7, 8.
The outcomes favorable to event A ae 2, 4, 6, 8.
So the probability of event A is given by,
\(P(A)=P\mleft(2\mright)+P\mleft(4\mright)+P\mleft(6\mright)+P\mleft(8\mright)\)Substitute the values from the table,
\(\begin{gathered} P\mleft(A\mright)=0.099+0.021+0.009+0.442 \\ P(A)=0.571 \end{gathered}\)Thus, the probability of event A is 0.571
Related Questions
Isaac bought 7 chicken wings for $12.60. How much does each wing cost?
Answers
Answer:
Each chicken wing costs $1.80.
Explanation:
To find the cost for each wings, you need to split the money by 7 which is: 12.60/ 7
this gives us:
1.80
the price of a wristwatch is $46.50 the sales tax rate is 5% to the nearest cent what is the total cost of the wristwatch including the sales tax
Answers
In order to determine the total cost of the wristwatch, first it is necessary to calculate the 5% of $46.50.
The 5% is given by:
(5/100)(46.50) = 2.325 ≈ 2.33
The toal cost is the sum of the sales tax rate an the price:
$46.50 + $2.33 = $48.83
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answers
If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.
Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.
From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.
Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.
So,
length of arc LNM=Circumference of circle-length of arc LKM.
We know that length of an arc =Θr
in which Θ is the angle in radian.
length of arc=70*π\(/180*5\)
=70π\(/36\)
Circumference of circle=2π*5
=10π
Length of arc LNM=10π-70π\(/36\)
=(360π-70π)\(/36\)
=290π\(/36\)
Put π=3.14
=290*3.14\(/36\)
=910.6\(/36\)
=25.29m
Hence the length of arc LNM is 25.29 m.
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Is 18p and 3p like terms or terms
Answers
Answer: They are like terms and terms
Hope this helps :)
Step-by-step explanation:
18p and 3p are terms that happen to have the same variable to be like terms.
100 points please help me answer this
Answers
The complete table for the function are
- f(1) - 3 = -5
- f(0) - 3 = -5.5
- f(2) - 3 = -7
- f(6) - 3 = undefined
- f(14) - 3 = -1
- f3(0) - 3 = 2
How to complete the missing parts of the table for the function.From the question, we have the following parameters that can be used in our computation:
The function equation and the incomplete table of values
This is given as
g(x) = - f(x) - 3
From the table, the missing values are at all values of x
So, we have
- f(1) - 3 = -2 - 3 = -5
- f(0) - 3 = -2.5 - 3 = -5.5
- f(2) - 3 = -4 - 3 = -7
- f(6) - 3 = undefined
- f(14) - 3 = 2 - 3 = -1
- f3(0) - 3 = 5 - 3 = 2
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Area and perimeter assignment. (9th Grade geometry)
Answers
Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
Explain about the perimeter:A path that encircles a region is referred to as a perimeter. Adding the lengths of every one of the sides together is the simplest formula for calculating the perimeter. The word circumference, that only encompasses a circle's perimeter, is used to describe the distance around a circle.
Given that:
coordinates of triangle: A(5,3) , B(1,5) and C(3,0)Perimeter = sum of all sides
Perimeter = AB + BC + CA
Estimate each distance using the distance formula:
d = √(x2 - x1)² + (y2 - y1)²
AB = √(1 - 5)² + (5 - 3)²
AB = √(-4)² + (-2)²
AB = √(16 + 4)
AB = √20
BC = √(3 - 1)² + (0 - 5)²
BC = √(2)² + (-5)²
BC = √(4 + 25)
BC = √29
CA = √(5 - 3)² + (3 - 0)²
CA = √(2)² + (3)²
CA = √(4 + 9)
CA = √13
Perimeter = AB + BC + CA
Perimeter = √20 + √29 + √13
Perimeter = 4.47 + 5.38 + 3.60
Perimeter = 13.45 units.
Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
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Hello please, I did not understand this exercise. In the plane referred to an orthonormal reference (o, i, j) place the points A, B, C and D defined by: A(6; 4); B(3; 7); C(12; -2); D(9; 7).
Show that C is the image of A by dilation with center B and ratio 3.
Answers
We have shown that C is the image of A by dilation with center B and ratio 3.
Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:
Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:
AB = A - B = (6 - 3, 4 - 7) = (3, -3)
Multiply the vector AB by the dilation ratio of 3:
3 AB = 3 (3, -3) = (9, -9)
Add the resulting vector to the coordinates of the center B:
BC = B + 3 AB = (3, 7) + (9, -9)
BC = (12, -2)
Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:
BC = (12, -2) = C
Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.
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Jackson wrote different patterns for the rule subtract 5 select all the patterns he could have written
Answers
When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include
A. 27, 22, 17, 12, 7
D. 100, 95, 90, 85, 80
What is the expression regarding the pattern?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.
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Complete question
Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.
27, 22, 17, 12, 7
5, 10, 15, 20, 25
55, 50, 35, 30, 25
100, 95, 90, 85, 80
75, 65, 55, 45, 35
a bag contains four types of coins. The probability of drawing a penny, nickel and dime is shown below. What is the probability of drawing a single coin that has a value of at least $.10?
Answers
Using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.
What is probability?A probability is a numerical representation of the likelihood or chance that a specific occurrence will take place.
Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Simply put, probability is the likelihood that something will occur.
When we don't know how an occurrence will turn out, we can discuss the likelihood or likelihood of various outcomes.
So, we have the chart:
Penny = 2/5 = 0.4
Nickel = 1/5 = 0.2
Dime = 1/4 = 0.25
Then, the probability of getting a value of at least $0.10
P(E) = 3/3
P(E) = 1
Therefore, using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.
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what is the area and circumference please help just tell only the answer
Answers
the circumference is 84.19
hope this helped :)
Circumference = 82.896 inches
Area = 547.1136 inches squared
write an equation in slope intercept form that passes through the given point and is perpendicular to the graph of given equation (1,-2) y=5x+4
Answers
The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.
The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.
To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.
The negative reciprocal of 5 is -1/5.
Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:
y - y1 = m(x - x1)
Substituting the values:
y - (-2) = (-1/5)(x - 1)
Simplifying:
y + 2 = (-1/5)(x - 1)
To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:
y + 2 = (-1/5)x + 1/5
Subtracting 2 from both sides:
y = (-1/5)x + 1/5 - 2
Combining the constants:
y = (-1/5)x - 9/5
Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.
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Whats (c) ????????????? ????
Answers
Answer:
11
Step-by-step explanation:
yeah-ya............ right?
Check the picture below.
Suppose that you want to know how tall a building is. You are standing 60 meters from a flagpole that you know is 35 meters tall. Along the same straight line, you are standing 170 meters from the front of the building.
Notice that the triangle formed by you and the flagpole and the triangle formed by you and the building are similar (you can form the smaller triangle from the larger one by dilation). Using this fact, determine the height of the building.
1. Determine the height of the building using the scale factor r.
2. Determine the height of the building using ratios within the two triangles.
3. Determine the height of the building using ratios between the two triangles.
4. If the angle indicated at the flagpole in the figure measures 60 degrees, what does the unknown angle at the top of the building measure?
Answers
The height of the building, h, found using ratios between similar figures and within similar figures is as follows;
1. The scale factor, r = 17/6
The height of the building is 99 1/6 meters
2. The within figure ratio is 35/60 = h/170
Heiught of the building is 99 1/6 meters
3. The between figure ratio is 35/h = 60/170
Height of the building is 99 1/6 meters
4. The measure of the angle at the top of the building is 60°
What are similar triangles?Similar triangles are triangles that have corresponding sides that are proportional, such that the sides of each triangle are a constant multiple of the sides of the other.
The distance from the flagpole = 60 meters
Height of the flagpole = 35 meters
The distance from the building = 170 meters
1. The height of the building found using a scale factor is as follows;
The scale factor, s.f. is the know ratio of the distance from the building to the distance from the flagpole
Therefore; s.f. 170/60 = 17/6
The height of the flagpole is 35 meters
Height of the building = Height of the flagpole × Scale factor
Height of the building = 35 m × 17/6 = 99 1/6
The height of the building found using scale factors is 99 1/6 meters
3. The height of the building found using ratios within the two triangles is found as follows;
The triangles are similar, therefore, their interior angles are congruent, and the trigonometric ratios of the angles are the same.
Within the two triangles, we get;
\(\frac{Height \ of \ flagpole}{Distance \ from \ flagpole} = \frac{Height \ of \ building}{Disrtance \ from \ building}\)
35/60 = h/170
h = 170 × (35/60) = 99 1/6
Height of the building = 99 1/6 meters
3. The triangles formed with the flagpole and the triangle formed with the building are similar triangles, therefore;
Between the two triangles, we get
\(\frac{Height \ of \ the \ flag[pole}{Height \ of \ the \ building } =\frac{Distance \ from \ the \ flagpole}{Distance \ from \ the \ building}\)
Plugging in the known values, we get;
\(\frac{35}{Height \ of \ the \ building} = \frac{60}{170}\)
Height of the building = 35 × 170/60 = 99 1/6
The height of the building is about 99 1/6 meters
4, The triangle formed by the flagpole and the building are similar, therefore, the corresponding angles in the triangles are congruent
The angle at the top of the flagpole corresponds with the angle at the top of the building, therefore;
The angle formed at the top of the flagpole is congruent to the angle formed at the top of the building
The measure of corresponding angles are the same, therefore, the anglle at the top of the building is equal to the angle at the flagpole, which is 60°
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triangle ABC a = 4 and m angle C=30 If the area of the triangle is 6 what is the length of side b
Answers
Answer:
6m = b
Step-by-step explanation:
The area of triangle when angle and sides are given = 1/2* sin angle*ab
Area = 1/2 * sin 30 * 4*b
Area = 6m²
6 = 1/2 * sin 30 * 4*b
(6*2)/(sin 30 * 4)= b
12/(0.5*4) = b
12/2 = b
6m = b
ayudaaaa c x 4=32 porfaaa :vvv
Answers
Answer:C=8
Step-by-step explanation:
32 divided by 4 = 8
what is the equivalent fraction of 13%
Answers
Explain why fishers index is called ideal index number
Answers
Answer:
This is because it contains the PAASCHE and the LASPEYRES index, the index satisfies the time reversal test.
Step-by-step explanation:
When finding the area of a rectangular prism, do you prefer to find the area of the base first and then multiply it by the height or to multiply all three dimensions at once?
Answers
Answer: I prefer to find the area of the base first and then multiply by the height
When me and my parents visited a mall nearby, I saw an item that I really loved to buy which cost 97 pesos but I have no money in my pocket. So I borrowed 50 pesos each on my father and mother in total of 100 pesos. I paid for the item and the vendor gave me 3 pesos for change. I returned 1 peso on my father and another 1 peso on my mother. So I only owe each of them 49 pesos and the money I have is only 1 peso. But when I add my debt from my mom and dad which sums up to 98 pesos and the 1 peso in me the total is only 99. The question is where is the missing 1 peso to make it a total of 100?
Answers
Answer:
Step-by-step explanation:
the whole $100 was from your parents, and none of the change is yours. After giving back each parent one dollar, you actually still owe them . 50.So if you originally owe each of them 50, and the change is 3, that means half of the 3 goes to each of your parents, and you stole
There's no missing money. Take a look at the problem carefully....
Your parents gave you 50 pesos each, if you return 1 peso to them respectively then the money you owe them altogether will be 98 pesos (49 + 49 = 98). Now, you have the remaining 1 peso with you that you got from the shopkeeper. Subtract it from the 98 pesos you have. You'll get 97 pesos, which is = to the amount you payed for the shirt. Simple!
________
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Write your own problem, and solve it. Be ready to share the question tomorrow.
Answers
Answer: 1,409.737566825
1.785 * 789.768945 = 1,409.737566825
Step-by-step explanation:
What is the following product? fourth root of 7 times the fourth root of 7
Answers
Answer:
square root of seven
Step-by-step explanation:
multiply the numbers inside the radicals to get fourth root of 49. simplify the radical and get square root of 7
in the illustration below ,The two lights are designed tc pperate at 6 volts, 5 amps each,
5
f the power source is12 volts, what will be the value of the Resistor?
Round to the tenth position. (0.00)
Answers
The value of the resistor needed in this scenario is approximately 1.2 ohms.
To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.
Using Ohm's Law, we have the formula:
V = I * R
Where:
V is the voltage across the resistor (12 volts in this case),
I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),
R is the resistance of the resistor (which we need to find).
Rearranging the formula, we have:
R = V / I
Plugging in the values:
R = 12 volts / 10 amps
R = 1.2 ohms
Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.
It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.
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Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30
pages, what can you conclude?
OA About 60% of the books have fewer than 150 pages.
O B.
About 16% of the books have fewer than 150 pages.
OC.
About 95% of the books have more than 150 pages.
OD. About 16% of the books have more than 150 pages.
Answers
Answer:
B
About 16% of the books have fewer than 150 pages.
Step-by-step explanation:
Quizlet also said so
in the equation 0.80p= 320, what do 0.80,p and 320 represent?
Answers
In the equation 0.80p= 320,
0.80 represents the factorp represents the variable320 represents the resultHow to interpret the equationFrom the question, we have the following parameters that can be used in our computation:
Equation: 0.80p= 320
In the above equation, we have
variable = p
This means that the variable in the equation 0.80p= 320 is p
Next, we have the factor of p to be 0.8
And the value of the equation to be 320
This means that 0.80 represents the factor and 320 represents the result
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A recipe calls for 24 ounces of chocolate chips. How many pounds is this?
A. 1
B. 1 1/2
C. 2
D. 2 1/2
Answers
B
1 pound = 16 ounces
24 = 16 x 1½
yo whats i lowkey cant think rn 3/4 times 2 ??
Answers
Answer:
1.5 in a decimal
Step-by-step explanation:
i hope it helps
Hayley is 5feet 5 inches tall. What is tis i metres to the nearest centimetre
Answers
Answer:
It might be 168 centimetres
Step-by-step explanation:
Someone please help me
Answers
Answer:
David had x amount of M&M's. He then ate 15 of them for snack. Now David only has 35 M&M's left. How many M&M's did David have in the beginning?
Step-by-step explanation:
Answer:
X= 20
Step-by-step explanation:
Hannah has 35 marbles. Hannah gives away 15 marbles. How many marbles does Hannah have left? Solve the equation X- 15=35.
The following table represents the highest educational attainment of all adult residents in a certain town. If an adult is chosen randomly from the town, what is the probability that they have a high school degree or some college, but have no college degree? Round your answer to the nearest thousandth.
Answers
The probability that a random adult has a high school degree or some college, but has no college degree is 53. 50 % .
How to find the probability ?The number of adults with some high school degree or some college would be :
= 3, 561 + 6, 058
= 9, 619 people
The probability that a random adult would have high school degree or some college is therefore :
= Adults with high school degree or some college / Total adults in the town
= 9, 619 / 17, 981
= 53. 50 %
In conclusion, the probability is 53. 50%.
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1. Quadrilateral LBMN is the result of a 180 degree rotation of Quadrilateral ABCD around point B, write the corresponding angles and segments in the table below.
Answers
In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,
∠A = ∠L, ∠D =∠M , ∠C = ∠N , and
AB = LB , CD = NM , DA = ML.
Quadrilateral ABCD rotates 180 degrees around point B,
New quadrilateral formed named LBMN
The corresponding angle after rotation of 180 degrees around B is equals to,
B remain at same position.
A rotates and point L take the position of A.
D rotates and point M take the position of D.
C rotates and point N take the position of C.
Corresponding angle to A is angle L.
Corresponding angle to D is angle M.
Corresponding angle to C is angle N.
Similarly corresponding segments are of ABCD and LBNM are
Line segment AB corresponds to line segment LB.
Line segment CD corresponds to line segment NM
Line segment DA corresponds to line segment ML.
Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.
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