The probability of the complement of this event occurring is 5/6.
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.
Sample space: {1,2,3,4,5,6}
Total number of outcomes=6
Complement of an Event: All outcomes that are NOT the event
In this case:
So, possible outcomes in the complement event:{1,2,4,5,6}
Number of possible outcomes=5
Formula:
Probability = (Number of possible outcomes)/(Total number of outcomes)
= 5/6
So, the probability of the complement of this event occurring is 5/6.
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Write an equation in standard form for the line that passes through the given points.
(2,- 8) and (2, - 4)
Answer:
x = 2
Step-by-step explanation:
calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 8 ) and (x₂, y₂ ) = (2, - 4 )
m = [tex]\frac{-4-(-8)}{2-2}[/tex] = [tex]\frac{-4+8}{0}[/tex] = [tex]\frac{4}{0}[/tex]
since division by zero is undefined then the slope is undefined
a line with undefined slope is a vertical line parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (2, - 8 ) and (2, - 4 ) with x- coordinates 2 , then
x = 2 ← equation of line
Wha is the answer to 5+v=-9 ?
Answer:
v=-14
Step-by-step explanation:
Subtract 5 from both sides
5+v=-9
-5 -5
v=-14
Solve using the quadratic formula.
x² - 4x + 2 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.
X =
or x =
The factors of the equation x²-4x+2=0 by using quadratic formula is x=3.414 and 0.585.
Given that,
The quadratic equation is x²-4x+2=0
We have to find the factor by using quadratic formula.
What is the quadratic formula?The word "quadratic," which meaning square, is derived from the word "quad." A quadratic equation is a "equation of degree 2," to put it another way.
A quadratic equation is a second-degree algebraic equation in x. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, x's coefficients are a and b, and c is just a constant.
x=[tex]\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]
Take the equation,
x²-4x+2=0
Here,
a=1, b=-4 and c=2
Substitute the values in the formula.
x=[tex]\frac{-(-4)\pm\sqrt{(-4)^{2}-4(1)(2) } }{2(1)}[/tex]
x=[tex]\frac{4\pm\sqrt{16-8 } }{2}[/tex]
x=[tex]\frac{4\pm\sqrt{8 } }{2}[/tex]
x=[tex]\frac{4\pm\sqrt{4 \times 2 } }{2}[/tex]
x=[tex]\frac{4\pm2\sqrt{2 } }{2}[/tex]
x=2±√2
x=2+√2 or x=2-√2
x=3.414 or x=0.585
Therefore, The factors of the equation x²-4x+2=0 by using quadratic formula is x=3.414 and 0.585.
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if you buy one ticket in the virgina lottery, then the probability that you will win a prize is 0.22. if you buy one ticket each month for six months, what is the probability that you will win at least one prize?
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Ross drives 315 miles in 5 hours. If Ross continues to drive at the same rate, how many miles can he drive in 10 hours?
OA. 630
OB. 610
OC. 1,260
OD.
252
2 of 10 Answered
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I thought of a three digit number. Each digit is the square of the digit to the right. What is my number
Answer:
111
Step-by-step explanation:
1 is squared of the right one so ya
What are the respective names of the points of concurrency?.
The respective names of the point of concurrency is:
1. Circumcenter
2. Incenter.
3. Centroid
4. Orthocenter
Point of concurrency:
The point of concurrency is a point where three or more lines or rays intersect with each other.
Circumcenter:
The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.
Incenter:
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.
Centroid:
The point where three medians of the triangle meet is known as the centroid.
Orthocenter:
The point where three altitudes of the triangle meet is known as the orthocenter.
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Jenny made $234 for 18 hours of work. At the same rate, how many hours would she have to work to make $156?
Answer:
The answer is 12 hours
Step-by-step explanation:
Jenny would have to work 12 hours to make $156
234/18 = 13
156/13 = 12
I need help on my math hw can someone help me its 11 over 99 ₓ 44 over 99 . I have to write it in simplest form can somebody anyone give me the answer pleaseeeeeeeee I will give 17 points.
Answer:
4 over 81
use a calculator then simplify
a club has 58 members, 38 men and 20 women. a committee must consist of 8 people. in how many ways can the committee consist of at most 1 woman?
With the help of probability we can conclude our answer.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
6C1 * 7C5 = 6 * 21 = 126 1 man6C2 * 7C4 = 15 * 35 = 525 2 men6C3 * 7C3 = 20 * 35 = 700 3 men6C4 * 7C2 = 15 * 21 = 315 4 men6C5 * 7C1 = 6 * 7 = 42 5 men6C6 = 1 6 mennumber of different committees with at least 1 man126+525+700+315+42+1= 1,709or13C6 = 1716 number of committees with 6 people7C6 = 7 number of committees with no men1716 - 7 = 1,709 number of committees with at least 1 manlearn more about probability click here:
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solve the system of equation and choose the correct ordered pair \
3x+4y=38
5x-5y=-30
Answer:
Step-by-step explanation:
3x+4y=38
sarah did 5 math exams and scored 54, 45, 76, 33, 76. what is the difference between the mean and the median?
Answer:
2.8
Step-by-step explanation:
mean = 54+45+76+33+76= 284
284÷5=56.8
median ,to find median you first arrange the numbers in an accending order
33,45,54,76,76 then you find the middle number which is 54
56.8-54=2.8
Answer:
2.8 marks
Step-by-step explanation:
33, 45, 54, 76, 76
mean score = (54 + 45 + 76 + 33 + 76) ÷ 5
= 56.8
median score = (5 + 1) ÷ 2
= 3rd place
= 54
diff between mean and median score = 56.8 - 54
= 2.8
Please help!! A person climbs a mountain road from the base to the summit at a speed of 45 m/min and descents the same road from top to bottom at a speed of 60 m/min. When comparing the length of time, there is a 20 minute difference between the climbing and descending times. How many meters is it from the base to the summit of the mountain?
The distance from the base to the summit of the mountain is 3600 meters
The speed when going from base to summit = 45 meter / minute
The time taken for going from base to summit = x minutes
The speed when descents from top to bottom = 60 meter / minute
The time taken for descents from top to bottom = x - 20 minutes
The speed = Distance / Time
The Distance = Speed × Time
Here in both case the distance is same
Then
45x = 60(x-20)
Solve the equation
45x = 60x - 1200
60x - 45x = 1200
15x = 1200
x = 1200/15
x = 80 minutes
Then the distance = 45x
= 45×80
= 3600 meters
Hence, the distance from the base to the summit of the mountain is 3600 meters
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PLS HELP
Angel is renting a meeting room at a college. There is a reservation fee of $41 and an additional fee of $4 per hour. She needs to spend no more than $65. What is the possible number of hours for which Angel can rent the meeting room? Use h for the number of hours.
pls explain
Answer:
She can rent the room for 6 hours.
Step-by-step explanation:
65 - 41 = 24
So she has left 24$ to use
24 divided by 4 = 6
She can rent the room for 6 hours.
Paula runs a bakery. She estimates that her weekly cost of rent and electricity is $250. The ingredients to bake one cake cost $4. Which equation represents the total cost to Paula’s bakery per week, y, if x number of cakes are made?
The linear function that represents the total cost per week is y = 4x + 250
Linear FunctionA linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. The y-intercept and slope are represented by c and m respectively.
The equation can be represented in the form of y = mx + c
Data;
y = Total weekly costx = number of cakes bakedc = fixed costm = cost per unit of cakeThe equation to represent the amount spent weekly is y = 4x + 250
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Graph the following system of inequalities.
Y≥x - 2
Y ≤ 4x - 2
A line has a slope of 0 and passes through the point (3, 4) . What is its equation in slope -intercept form?
From the top of a cliff, it was observed that the angle of depression of the top of a vertical pole is 45° and the angle of depression of the foot of the pole is 60°. if the pole is 5m high, calculate the height of the cliff to 3 s.f
The required height of the cliff is 5√3/(√3)-1.
What is angle of depression?The angle of depression is defined as the If a human looks down at an object, then the angle of depression of that human is the angle between the horizontal line of sight and the object.
According to given data in the question:we have, angle of depression to top of pole = 45°
that of to foot of pole = 60°
Height of pole is 5 meter.
Then distance between tower is = 5+x/√3 ∴ tan(theta)=P/B
and, tan(45) = x/5+x/√3 = √3x/5+x =1 ∴ tan(45) =1
5+x =√3x
X = 5/(√3)-1
Now height of cliff = 5+5/(√3)-1 = 5√3/(√3)-1 meter
Thus, the height of cliff is 5√3/(√3)-1.
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Find - 18 + 27 +13 + (− 8)
Answer:
14
Step-by-step explanation:
Correct me if I'm wrong
Answer:answer is 14
Step-by-step explanation:
hope this helps
A quantity with an initial value of 5500 grows continuously at a rate of 0.95% per
day. What is the value of the quantity after 6 weeks, to the nearest hundredth?
Answer:
8196.83
Step-by-step explanation:
You want the quantity after 6 weeks of a value initially 5500 and growing at a continuous rate of 0.95% per day.
Continuous growthWhere r is the growth rate in some time period, the value after t periods is ...
value = initial value × e^(rt)
ApplicationHere we have an initial value of 5500, a growth rate of 0.95% = 0.0095, and a time period of 1 day. We want the value after 6 weeks, or 6·7 = 42 days.
That value is ...
value = 5500·e^(0.0095·42) = 5500·e^0.399 ≈ 8196.83
After 6 weeks, the quantity is 8196.83.
The value of quantity grows to 8196.83 at exponential rate.
What is exponential rate?
Exponential growth may be a method that will increase amount over time. It happens once the instant rate of modification (that is, the derivative) of a amount with relevancy time is proportional to the amount itself.
Main body:
Continuous growth
Where r is the growth rate in some time period, the value after t periods is value = initial value × [tex]e^{rt}[/tex]
Here we have an initial value of 5500, a growth rate of 0.95% = 0.0095, and a time period of 1 day. We want the value after 6 weeks, or 6·7 = 42 days.
That value is ...
value = 5500·e^([tex]e^{0.0095*42}[/tex]) = 5500·[tex]e^{0.399}[/tex] ≈ 8196.83
After 6 weeks, the quantity is 8196.83.
Therefore the value of quantity grows to 8196.83
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jason is working as chief financial officer for a global finance company based in melbourne. he is planning to have a video-conference call with his counterpart in london. when it is 5pm in melbourne, he found out that its 8am in london. if the counterpart likes to have a video call with him 5pm on friday london time, what time will it be in melbourne?
If the counterpart likes to have a video call with him 5 pm on Friday London time, it will be 2 am on Saturday in Melbourne.
Given in ques,
When it is 5 pm in Melbourne, he found out that its 8 am in London.
The time difference is of 9 hours with Melbourne's time being ahead.
So, when its 5 pm on Friday in London, Melbourne's time will be ahead by 9 hours which would be 2 am on Saturday.
Hence, it would be 2 am in the morning on Saturday in Melbourne when its 5 pm in the evening on Friday in London.
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What is the slope intercept form equation of the line that passes through 3 4 and 5/16 )? Y 6x − 14 y − 6x 14 y − 6x − 14 y 6x 14?.
The correct option is (a) i.e. the slope intercept form of the given line is y = 6x-14.
What is the slope and slope-intercept form?The slope of the line through two points (x₁ ,y₁) and (x₁ ,y₂) can be found by using the formula below.
m = (y₂ - y₁) / (x₂ - x₁).
The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).
The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as y = mx + b.
Here we have a line that passes through two points (x₁ ,y₁) = (3 ,4) and (x₁ ,y₂) =(5 ,16).
The slope of the line m = (y₂ - y₁) / (x₂ - x₁) = (16 -4) /(5 -3) = 12/2 = 6.
⇒ slope m = 6.
And we know the slope intercept form is
y = mx + b
⇒ 4 = 6*3 + b {with points (3 ,4)}
⇒ b =4 - 18 = -14 ⇒ b = -14.
So the slope intercept form is y = 6x-14.
The slope-intercept form of the equation with m =6 and y-intercept as -14 was found to be
y = 6x -14.
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NOTE : The question given here is not complete. The complete question is given below.
Question: What is the slope intercept form equation of the line that passes through (3 ,4)and (5,16)?
(a) y = 6x − 14
(b) y = −6x +14
(c) y = −6x − 14
(d) y = 6x + 14?
Someone please help me answer 4(x-3)=12
We move all terms to the left:
4(x - 3) - (12) = 0Multiply
4x - 12 - 12 = 0We add all the numbers and all the variables.
4x - 24 = 0We move all terms containing x to the left hand side, all other terms to the right hand side
4x = 24x= 24/4x = 6Triangle JKL is similar to triangle PQR, find t. The sides of JKL measures
sJL = 4.5 sLK = 1.5 sJK = 5. The sides of PQR measures sQP = 25 sRP = 22.5 and sRQ = t
The length of side RQ in triangle PQR is 7.5.
Given,
ΔJKL ≈ ΔPQR
Therefore, sides are in same ratio to each other i.e.
[tex]\frac{QP}{JK}=\frac{RP}{JL}=\frac{RQ}{LK}[/tex]
[tex]\frac{25}{5} =\frac{22.5}{4.5}= \frac{t}{1.5}[/tex]
Therefore,
5 = t/1.5
t = 5*1.5
t = 7.5
Hence, length of RQ is 7.5.
Correct question,
Triangle JKL is similar to triangle PQR, find t. The sides of JKL measures
sJL = 4.5 sLK = 1.5 sJK = 5. The sides of PQR measures sQP = 25 sRP = 22.5 and sRQ = t. Find the length of RQ.
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Line p has an equation of y = x-4. Line q includes the point (-10, -3) and is perpendicular
to line p. What is the equation of line q?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Answer:
y = - x - 13
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 4 ← is in slope- intercept form
with slope m = 1
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{1}[/tex] = - 1 , then
y = - x + c ← is the partial equation of line q
to find c substitute (- 10, - 3 ) into the partial equation
- 3 = 10 + c ⇒ c = - 3 - 10 = - 13
y = - x - 13 ← equation of line q
Is each product less than 1, equal to 1, or greater than 1?
Place each product into the correct box.
1/2x4 1/2x1 1/4x3
The product is greater than 1 < 8.4375
Given:
In the question:
Product the following question:
1/2 x 4[tex]\frac{1}{2}[/tex] x [tex]1\frac{1}{4}[/tex] x 3
Now, According to the question;
1/2 x 4[tex]\frac{1}{2}[/tex] x [tex]1\frac{1}{4}[/tex] x 3
Solve the mixed fraction:
1/2 x 9/2 x 5/4 x 3
Write as a single fraction:
(9 x 5 x 3) / (2 x 2 x4)
Calculate the product or quotient:
= 135/ 16
= 8.4375
Hence, The product is greater than 1 < 8.4375
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2. The value of a baseball card in dollars has been found to be 0.42y+068, where y is
the number of years since it was released. By how much is the baseball card's value
increasing per year?
3. In the expression 300(2^t), what does 300 represent?
The rate of increase in the value of the baseball card per year is 0.42.
The value of a baseball card in dollars has been found to be 0.42y + 068, where y is the number of years since it was released. We need to find out by how much the value of the baseball card is increasing per year. Let the value of the baseball card be denoted by the variable "V".
V = 0.42y + 068
The value of the baseball card when it has been x years since it was released is : V1 = 0.42x + 068. The value of the baseball card when it has been (x + 1) years since it was released is : V2 = 0.42(x + 1) + 068.
The increase in the value of the baseball card per year is the difference in the values in any two consecutive years.
I = V2 - V1 = [0.42(x + 1) + 068] - [0.42x + 068] = 0.42
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PLEASE HELP!! ASAP!!! 10 POINTS! SCREENSHOT INSERTED BELOW
The equation for the line given on the graph is y = 30x , the correct option is (c) .
In the question ,
it is given that
the cable length varies directly with the amount of time it passes .
let the cable length that is wound on the spool be " y " , and
let the time it passes be " x " .
since they vary directly , it can be denoted by
y ∝ x
So , the equation is , y [tex]=[/tex] k*x
from the graph we see that when x = 1 , the value of y is 30 .
On substituting x = 1 and y = 30 in the equation y = k*x
we get ,
30 = k*1
So , k = 30 .
Substituting k = 30 , we get
the equation as y = 30x .
Therefore , The equation for the line given on the graph is y = 30x .
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Mamadou’s car used 2 2/3 gallons to travel 76 miles. How many miles can the car go on one gallons of gas?
PLEASE HELPP!!!!
The car can go 28.5 miles in 1 gallon of gas.
According to the question,
We have the following information:
Mamadou’s car used [tex]2\frac{2}{3}[/tex] gallons to travel 76 miles.
Now, we can easily find the distance covered by car in one gallon of gas but we will first convert the gas given from mixed fraction.
8/3 gallons of gas = 76 miles
Now, the distance covered in 1 gallon of gas can be found by dividing 76 by 8/3.
1 gallon of gas = 76/(8/3)
1 gallon of gas = 57/2 miles
1 gallon of gas = [tex]28\frac{1}{2}[/tex] miles or 28.5 miles
Hence, the car can go 28.5 miles in 1 gallon of gas.
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What is the answer of this question
The number of shelves is x/20.
From the question, we have
You collect miniature cars and display them on shelves that hold 20 cars each.
Number of shelves = x/20
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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