If the probability of an event is 2/7, what must be the probability of its complement?
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Let
x------->the probability of its complement
we know that
The Complement Rule states that the sum of the probabilities of an event and its complement must equal [tex]1[/tex]
so
in this problem
[tex]\frac{2}{7}+x=1[/tex]
solve for x
Adds [tex]-\frac{2}{7}[/tex] both sides
[tex]x=1-\frac{2}{7}[/tex]
[tex]x=\frac{5}{7}[/tex]
The probability of its complement is 5/7
What is the complement of a probability event?The complement of a probability event is the event that contains all of the universal elements of the event but is not found in the provided event.
From the given information:
The provided event (x) = 2/7The complement of an event is mathematically calculated as:
P(C') = 1 - (x)
P(C') = 1 - 2/7
P(C') = 5/7
Learn more about the probability of an event here:
https://brainly.com/question/25839839
Add each pair of monomials and match it to the correct sum.
Tiles
-15u3 + 5u3
10u3 + (-5u3)
10u3 + 5u3
5u3 + (-10u3)
Answer:
-10u^3
5u^3
15u^3
-5u^3
Step-by-step explanation:
Given tiles
-15u^3+5u^3
10u^3+(-5u^3)
10u^3+5u^3
5u^3+(-10u^3)
Monomial : that type of polynomial in which only one term .
Adding of polynomial : when we add two polynomial then the coefficient of like terms will be added and sum of unlike terms remain . There is no change in the power of like terms and unlike terms.-15u^3+5u^3coefficient of like terms means same viable with same power -15 and 5 .
Therefore, coefficient of these two terms added and no change in power of u^3
-15u^3+5u^3=-10u^3Similarly, 10u^3+(-5u^3)=5u^310u^3+5u^3=15u^35u^3+(-10u^3)=-5u^3What is the height of an airplane as it descends to an airport runway
Final answer:
The height of an airplane during its descent to an airport runway is influenced by factors like approach angle, stall speed, and descent rate.
Explanation:
The height of an airplane as it descends to an airport runway is determined by various factors such as approach angle, stall speed, and glide slope.
During descent, the pilot manages corrections for side-winds, updrafts, and downdrafts to aim for a specific touchdown point on the runway.
Typically, the descent rate of an aircraft during landing is about 500 feet per minute, translating to approximately 8 mph.
Coins are marked with the letters A-G. What is the probability of selecting a coin with a vowel on it?
a. 28.6%
b. 16.7%
c. 33.8%
d. 18.9%
Consider the equations below.
y = 200 + 350x
y = 3x
When x = 7, which equation has the greater value?
When x=7 , the first equation y = 200 + 350x has the greater value.
To determine which equation has the greater value when x=7, we need to evaluate both equations at x=7 and compare the resulting y values.
For the first equation [tex]\( y = 200 + 350x \):[/tex]
[tex]\[ y = 200 + 350 \times 7 \]\[ y = 200 + 2450 \]\[ y = 2650 \][/tex]
For the second equation y=3x
[tex]\[ y = 3 \times 7 \]\[ y = 21 \][/tex]
Comparing the values, we see that y=2650 for the first equation and y=21 for the second equation.
The equation a=640s gives the relationship between s square miles and acres. Pam owns 7.5 square miles of farmland. How many acres does she own
Answer:
4800 acres.
Step-by-step explanation:
We have been given an equation [tex]a=640s[/tex], which gives the relationship between s square miles and acres.
To find the number of acres Pam owns we will substitute [tex]s=7.5[/tex] in our given equation.
[tex]a=640\times 7.5[/tex]
[tex]a=4800[/tex]
Therefore, Pam owns 4800 acres.
Can someone please help me with these problems. Thank you
please HJelp QUICKLY
Find the value of the expression (4x−12)+(12xy−10)(4x-12)+(12xy-10) for x=4 and y=6
Answer:
398 ( did it on college bridge)
Step-by-step explanation:
The required value of the expression is 412 which is determined by substituting for x = 4 and y = 6.
What is the algebraic expression?Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.
The expression is given in the question as:
(4x−12)+(12xy−10)(4x-12)+(12xy-10)
To find the value of the expression for a given value of x and y, we can substitute the values of x and y into the expression and evaluate it.
(4x−12)+(12xy−10)(4x-12)+(12xy-10)
Substituting x=4 and y=6 into the expression, we get:
(4(4)−12)+(12(4)(6)−10)(4(4)−12)+(12(4)(6)−10)
This simplifies to:
(16−12)+(12(24)−10)(16−12)+(12(24)−10)
This further simplifies to:
4+(12(24)−10)(4)+(12(24)−10)
4+(12(24)−10)(4)+(12(24)−10)
4+288+120 = 412
Therefore, the value of the expression for x = 4 and y = 6 is 412.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
Which algebraic expression represents “the difference of fifty-four and seven times a number”?
Answer:
The difference of fifty-four and seven times a number is written as 54 - 7x.
Step-by-step explanation:
Given: expression “the difference of fifty-four and seven times a number”
We have to write the given algebraic expression represents “the difference of fifty-four and seven times a number”
Consider the given algebraic expression represents “the difference of fifty-four and seven times a number”
Let the number be x
Then, seven times a number is 7x
And the difference of fifty-four and seven times a number is written as 54 - 7x.
Thus, The difference of fifty-four and seven times a number is written as 54 - 7x.
Answer:
a
Step-by-step explanation:
The first term of a geometric series is a/b^2, and the common ratio is b/a^2. Find the next five terms of the geometric sequence.
Answer:
the next five terms are:
[tex]\frac{1}{ab} , \frac{1}{a^{3} } ,\frac{b}{a^{5} } ,\frac{b^{2} }{a^{7} } ,\frac{b^{3} }{a^{9} }[/tex]
Step-by-step explanation:
A geometric serie is a succession of terms on which every terms is the result of the last term multiply to a common ratio. for example, a geometric serie with inicial terms equal to 2 and the common ratio is 3, the four first numbers of the serie is given by
2, 6, 18, 54
Where every term is calculate as:
first term = 2
second term = first term x common ratio = 2 * 3 = 6
third term = second term x common ratio = 6 * 3 = 18
fourth term = third term x common ratio= 8 * 3 = 54
Then, with this exercise we have the same situation, the first term is [tex]\frac{a}{b^{2} }[/tex] and the common ratio is [tex]\frac{b}{a^{2} }[/tex], so we get:
first term = [tex]\frac{a}{b^{2} }[/tex]
second term = first term * common ratio = [tex]\frac{a}{b^{2} } *\frac{b}{a^{2} } = \frac{1}{ab}[/tex]
third term = second term * common ratio = [tex]\frac{1}{ab} *\frac{b}{a^{2} } =\frac{1}{a^{3} }[/tex]
fourth term = third term * common ratio = [tex]\frac{1}{a^{3} } *\frac{b}{a^{2} } = \frac{b}{a^{5} }[/tex]
fifth term = fourth term * common ratio= [tex]\frac{b}{a^{5} } *\frac{b}{a^{2} } = \frac{b^{2} }{a^{7} }[/tex]
sixth term = fifth term * common ratio= [tex]\frac{b^{2} }{a^{7} } *\frac{b}{a^{2} } = \frac{b^{3} }{a^{9} }[/tex]
so, the next five terms are:
[tex]\frac{1}{ab} , \frac{1}{a^{3} } ,\frac{b}{a^{5} } ,\frac{b^{2} }{a^{7} } ,\frac{b^{3} }{a^{9} }[/tex]
In March Tom had -£165 in his bank account. In April he had -£156.
In which month did he have the least amount of money in his account?
Answer:
March.
Step-by-step explanation:
We have been given that in March Tom had -£165 in his bank account. In April he had -£156.
We know that the a biggest negative number has least value as biggest negative numbers lie on the extreme left on the number line.
Since -£165 is more negative than -£156, so -£165 is the least amount.
Therefore, Tom had least amount of money in his account in March.
The ideal width of a certain conveyor belt for a manufacturing plant is 50 in. an actual conveyor belt can vary from the ideal by 7/32 in. find the acceptable widths for this conveyor belt. CHECK ALL THAT APPLY
a) x>=49 24/32
b)x<=50 7/32
c)49 25/32<=x<=50 7/32
d)x+7/32<=50
e)absolute value of x-50 <=7/32
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 64 miles due north of the warehouse.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?
48 miles
56 miles
104 miles
128 miles
warehouse location (24,-32)
airport location (-24,32)
distance = sqrt((x2-x1)^2 +(y2-y1)^2)=
Sqrt(24--24)62 +(32--32)^2) =
sqrt(48^2 +64^2) =80
then distance from airport to the factory = -24 to 24 = 48
80+48 = 128 miles total
1. What shape is the graph?
2. What direction does the graph open?
3. Where is the graph increasing/decreasing?
4. What are the intercepts?
5. Are there any special points?
6. Is there a line of symmetry?
1. Triangular, 2. Upwards, 3. (- ∞, 3),(3, ∞), 4. (-1, 0) and (-3, 0), and (0, 1),
5. (-3, -1), 6. symmetry is along the x-axis.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, A modulus function | x + 2 | - 1.
The shape of the graph is triangular.
The graph opens in the upwards direction positive y-axis.
The graph is decreasing at the interval (- ∞, 3) and it is increasing at an interval (3, ∞).
The x-intercepts of the graph is (-1, 0) and (-3, 0), and The y-intercepts of the graph is (0, 1).
The special point of the graph is (-3, -1) where the graph is increasing from decreasing.
Yes, the line of symmetry is along the x-axis.
learn more about graphs here :
https://brainly.com/question/2288321
#SPJ2
HELP NEEDED!!
Calculate the side lengths a and b to two decimal places.
A. a = 16.23 and b = 17.99
B. a = 16.23 and b = 18.83
C. a = 17.99 and b = 16.23
D. a = 4.81 and b = 5.33
E. a = 5.33 and b = 4.81
Will thank rate five stars and give brainlist anser to first person to answer!
Answer:
A. a = 16.23 and b = 17.99
Step-by-step explanation:
The addition of the three angles of the triangle is equal to 180°. So,
C + 64° + 85° = 180°
C = 180° - 64° - 85°
C = 31°
The law of sine states:
sin(A)/a = sin(B)/b = sin(C)/c
where c is the side opposite to angle C
Taking angles A and C, and sides a and c, we get
sin(A)/a = sin(C)/c
sin(64°)/a = sin(31°)/9.3
sin(64°)*9.3/sin(31°) = a
a = 16.23
Taking angles B and C, and sides b and c, we get
sin(B)/b = sin(C)/c
sin(85°)/b = sin(31°)/9.3
sin(85°)*9.3/sin(31°) = b
b = 17.99
An arc with a length of 12 cm lies on a circle with a diameter of 9cm
What is the length of the arc in radians?
A. About 1.3 radians
B. About 1.9 radians
C. About 2.2 radians
D. About 2.7 radians
Which property is illustrated below?
1 + 7 = 7 + 1
identity property of addition
commutative property of addition
associative property of addition
distributive property
Add.
(8x-2)+(3x+10)
(Simplify answer)
HELP ME PLEASE I NEED AN ANSWER I'LL PICK A BRAINLIEST PERSON!!!
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
A.)The test contains 4 three-point questions and 20 five-point questions.
B.)The test contains 10 three-point questions and 14 five-point questions.
C.)The test contains 14 three-point questions and 10 five-point questions.
D.)The test contains 20 three-point questions and 8 five-point questions.
What value of x makes the denominator of the function equal zero?y=(7)/(5x-25)A.0.2 B.–0.2 C.5 D.–5
When writing an equation in exponential form , how can you tell by the number in parentheses if it's exponential growth or exponential decay?
At the school carnival, Jade has a games booth with a spinner. The banner at her booth reads "40% chance of winning!" What is the chance that a player may not win?
A.20%
B.30%
C.50%
D.60%
Answer:
60%
Step-by-step explanation:
Since the entire percentage is 100 than 40 plus 60 is a hundred
The probability that an event will occur is fraction 2 over 3 . Which of these best describes the likehood of the event occurring?
Likely
Certain
Unlikely
Impossible
NEED HELP
Answer:
Likely is the answer
Step-by-step explanation:
If you know the probability line you will know how to get the answer
A Girl Scout camp served half of their granola with breakfast. After dinner they put the remaining 6250 g of granola on top of their yogurt dessert.
How many kilograms of granola did the Girl Scout camp start with ?
1 kilogram = 1000 grams
The length of the shadow on flat ground of a man who is 6 feet tall and is standing up straight is 8 feet. The distance between the top of his head and the top of his head in the shadow is feet.
Answer:
The answer is 10 ft.
Step-by-step explanation:
make a triangle 6ft tall, 8ft long (90 degrees to the other line) and draw a line to complete the triangle. This is a type of 3,4,5 triangle, a 6,8,10. The other way to do it is sqrt(6^2+8^2) = sqrt(36+64) = sqrt (100) = 10.
hope this helps!!
20 POINTS! WRONG ANSWERS WILL BE REPORTED!
Isaiah sketches a model of a skateboard ramp. The model has two surfaces on which to skate, represented by sides AB and AD in the diagram.
The steepest side of the model, AB, measures 4 inches. What is the length of the other skating surface, AD?
A) 2 square root 2
B) 2 square root 3
C) 4 square root 2
D) 4 square root 3
Answer:
(C)
Step-by-step explanation:
It is given that The steepest side of the model, AB, measures 4 inches, thus
From ΔABC, using the trigonometry, we have
[tex]\frac{AC}{AB}=sin45^{\circ}[/tex]
Substituting the given value, we have
⇒[tex]\frac{AC}{4}=sin45^{\circ}[/tex]
⇒[tex]AC=4{\times}\frac{1}{\sqrt{2}}[/tex]
⇒[tex]AC=2\sqrt{2}[/tex]
Now, from ΔACD, we have
[tex]\frac{AC}{AD}=sin30^{\circ}[/tex]
⇒[tex]\frac{2\sqrt{2}}{AD}=\frac{1}{2}[/tex]
⇒[tex]AD=4\sqrt{2}[/tex]
Therefore, the length of AD will be [tex]4\sqrt{2}[/tex]
thus, option C is correct.
Jimmy set his score for his math test. After the math teacher returnee his paper to him, he realized that if he increased his target by 10%, he would need 1 more mark to reach his actual score. If he increased his target by 15%, this target would exceed his actual test marks by 3. What is his actual test score.
How to simplify 10P6/10P4
[tex] nPk=\dfrac{n!}{(n-k)!}\\\\
\dfrac{ 10P6}{10P4}=\dfrac{\dfrac{10!}{4!}}{\dfrac{10!}{6!}}=\dfrac{10!}{4!}\cdot\dfrac{6!}{10!}=5\cdot6=30 [/tex]
A recipe calls for 9 tablespoons of milk for every 21 cups of flour. If the chef puts in 168 cups of flour how many tablespoons of milk must the chef add