The necessary probabilities are 3/8, 1/3, 9/64, and 37/64.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
S = { G1, G2, G3, Y1, Y2, Y3, Y4, Y5 }
G = { G1, G2, G3 }
P(G) = 3/8
E = { G2, Y2, Y4 }
P(G|E) = 1/3
P(G and E) = P(G)*P(E) = (3/8)*(3/8) = 9/64
P(G or E) = P(G) + P(E) - P(G and E) = (3/8) + (3/8) - (9/64) = (6/8) - (9/64) = (48/64) - (9/64) = 37/64
The required probability is 3/8, 1/3, 9/64 and 37/64.
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express √832 in the form 4n where n is the integral
We can express √832 as 4(2√13).
What is definite integral?A definite integral of a function can be represented as the signed area of the region bounded by its graph.
Given is the root of 832 or √832.
Assume that {4n} is equal to {y}. So, we can write -
y = 4n
Squaring both sides, we get -
y² = (4n)² = (√832)²
y² = 16n² = 832
16n² = 832
n² = (832/16)
n² = 52
n = √52
n = 2√13
So, we can write (√832) as 4(2√13).
Therefore, we can express √832 as 4(2√13).
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A) (0,-2)
B) (0,3)
C) (-1,-1)
D) (-2,0)
There is a bag filled with 5 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?
What relationship exists between Nand K?
Given:
KLMN is a parallelogram.
Helppppp meee
The relationship exists between N and K are the endpoints of the side KN.
A parallelogram is a geometric object with sides that are parallel to one another in two dimensions.
It is a form of polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length.
we know that for a parallelogram KLMN is a quadrilateral whose two sides are parallel to each other and has two non-parallel sides.
for N and K we could say that the two are endpoints of the line segment KN; which is one of a side of a parallelogram KLMN.
Therefore, The relationship exists between N and K are the endpoints of the side KN.
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Does (1, 10) make the inequality y ≤ 5x + 4 true?
yes
no?
Answer:
No, it is not true
Step-by-step explanation:
y ≤ 5x + 4
We know a point is (1,10), we need to put the 1 in for x and the 10 in for y to see if the inequality is true or not!
10 ≤ 5(1) + 4
10 ≤ 5 + 4
10 ≤ 9
This is not True!
Answer: nope
Step-by-step explanation:
-8 5/9 = 4 2/3w
.............................
Answer:
w = -11/6
Step-by-step explanation:
-8 5/9 = 4 2/3w
-8 5/9 = -77/9
4 2/3 = 14/3
So, our equation is
-77/9 = 14/3w
Divided both sides by 14/3
w = -11/6
I will Mark BRAINLIEST if correct please answer
y varies inversely with x. If y = 40 when x = 16, find x when y = -5.
PLEASE HELP I WILL MARK BRAINLIST
Northlake High School has two lunch periods. Students can eat their lunch in the cafeteria or on an outside patio. About 35% of students who have first lunch eat outside. Compare this with the percentage of second-lunch students who eat outside.
Select the true statement.
A. A smaller percentage of second-lunch students (24%) eat outside.
B. A greater percentage of second-lunch students (39%) eat outside.
c. A greater percentage of second-lunch students (41%) eat outside.
D. A smaller percentage of second-lunch students (18%) eat outside.
A / P / E / X
B. A greater percentage of second-lunch students (39%) eat outside.
From the table above, the percentage second-lunch students who eat outside is calculated as follows:
%= number of students who eat outside/total number of students who have second lunch × 100/1
%=18/46 x 100/1
%=39.1%
What is PercentPercent is usually used to describe data in percentage form. This mathematical science is often used when calculating population percentages, discounts, interest rates, and so on. Percent is a number that represents part or all of the value or goods by forming a ratio of one hundred. Percent has an infinitely high value, while its lowest value is 0 percent. The amount of the percentage is denoted by "%".
History of Percent NumbersThis number was born in ancient Rome to be precise from the collection of auction taxes by using a fraction of 1/100 of the auction value or called centesima rerum venalium. the percent symbol has changed several times. Originally the Latin word percento was used. However, in the next generation, the word percento was changed to two symbols, namely the word per which changed to "/" and cento which changed to "00". Until finally the symbol "%" was known.
Percent formulaThe simple formula for calculating percent is: Percentage (%) = (Total parts)/(Total amount) X 100%. The general percentage formula for calculating the percentage of a number that is considered as part of the whole is written in percent or 100%.
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If m | n and the slope of line m is 3, what is the slope of line n?
Α. 1/3
B. -1/3
C. -3
D. 3
Answer:
D. 3
Step-by-step explanation:
The slopes of parallel lines are the same.
hellllllllpzzzzzzzzzzzzzzz
Answer: 78°
Similar triangles are different from congruent triangles. Congruent triangles have equal angles and sides, while similar triangles have equal angles and proportional side lengths. In this case, because the triangles are similar, the angles should be equal. The sum of the angles of triangles are always 180°. Because triangle ABC has angle measures of 28° and 74°, the equation should appear as 28+74+x=180. Add the like terms to get 102. Subtract 102 on both sides to get x=78. Although we only solved for Triangle ABC, again, similar triangles have the same corresponding angle measures, so it applies to Triangle DEF, as well.
Suppose the following triangle is isosceles. Find the value of x.
Answer:
x = 62
Step-by-step explanation:
Because of the given congruent sides, the base angles both measure x.
x + x + 56 = 180
2x = 124
x = 62
if the triangle is an isosceles triangle then x is equal to the other angle that is unknown. So
180-56=124. Since there are still 2 angles left you divide 124/2=62
x=62
Someone help with this please
Answer:
1/2
Step-by-step explanation:
hridnrle9hsveienrorbroronrjr
Answer: d
Step-by-step explanation:
Hope you have a good day can I please get branlyist
Approximately how many plant made pharmaceuticals are currently under different stages of discovery?
a. 100
b. 200
c. 300
d. 400
please select the best answer from the choices provided a b c d
Approximately 300 plants are made pharmaceuticals currently under different stages of discovery.
Why do you use the term pharmaceutical?
pharmaceutical, material used for repairing, changing, or treating organic processes as well as for illness diagnosis, treatment, or prevention. Pharma (Bachelor of Pharmacy): Course, Qualifications, Admission, Syllabus, Pay, and Scope.
What function do drugs serve?
Drugs are created, produced, and distributed by the pharmaceutical business. Its goal is not to define sickness. Drug manufacturers typically focus on ailments that have already been identified by the medical community.
The positive side effects of medications, such as those that lower blood pressure, treat infections, or reduce pain, are considered their advantages. The possibility that anything unfavorable or unexpected will occur to you as a result of using a medication is what we mean by "risks."
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please help it's due today, And please if you don't know the answers don't put any links or apps. And if you do know the answer plz help me.I'll mark as brainliest
Answer:
1) Yes
2) No
3) Yes
4) No
5) No
6) Yes
7) Yes
8) No
Step-by-step explanation:
Each equation must be increasing or decreasing by a constant amount in order for it to be linear. Graphing these equations, you can see that the linear equations will be a straight line.
HELP ASAP
PLEASE REFER TO PHOTO
According to the pattern Brett receives points as follows 5,10,15,20,25,30,35 and according to the pattern of Yolanda, Yolanda receives points as 25,60,95,130,165,200,235 .
What is recursion ?
It is a process in which it calls itself to solve the given problem is called as recursion.
The recursive formula to find the nth term of a geometric sequence is:
an = an-1 * r for n ≥ 2
In Brett's case,
if n=2
a2 = a1 * r
given a2 = 10 a1 =5
10 = 5 *d
d=2
a4 = a3 * d = 20*2 = 40
a5 = a4*d = 40*2 = 80
a6 = a5*d = 80*2 = 160
a7 = a6 * d = 160*2 = 320
In Yolanda case,
The recursive formula to find the nth term of an arithmetic sequence is:
an = an-1 + d for n ≥ 2
if n=2
a2 = a1 + d
60 = 25 + d
d = 35
a4 = a3+d = 95 + 35 = 130
a5 = a4+d = 130 + 35 = 165
a6 = a5+d = 165 + 35 = 200
a7 = a6 +d = 200 + 35 = 235
Hence the pattern in Brett's case could be 5,10,15,20,25,30,35 and in Yolando's case could be 25,60,95,130,165,200,235 .
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According to the pattern Brett receives points as follows 5,10,15,20,25,30,35 and according to the pattern of Yolanda, Yolanda receives points as 25,60,95,130,165,200,235 .
What is recursion ?It is a process in which it calls itself to solve the given problem is called as recursion.
The recursive formula to find the nth term of a geometric sequence is:
an = an-1 * r for n ≥ 2
In Brett's case,
if n=2
a2 = a1 * r
given a2 = 10 a1 =5
10 = 5 *d
d=2
a4 = a3 * d = 20*2 = 40
a5 = a4*d = 40*2 = 80
a6 = a5*d = 80*2 = 160
a7 = a6 * d = 160*2 = 320
In Yolanda case,
The recursive formula to find the nth term of an arithmetic sequence is:
an = an-1 + d for n ≥ 2
if n=2
a2 = a1 + d
60 = 25 + d
d = 35
a4 = a3+d = 95 + 35 = 130
a5 = a4+d = 130 + 35 = 165
a6 = a5+d = 165 + 35 = 200
a7 = a6 +d = 200 + 35 = 235
Hence the pattern in Brett's case could be 5,10,15,20,25,30,35 and in Yolando's case could be 25,60,95,130,165,200,235 .
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Find the inverse of the function f(x) = 2÷3x -6
Answer:
f⁻¹(x) = 3/2x +9
Step-by-step explanation:
You want the inverse of the function f(x) = 2/3x -6.
Inverse functionThe inverse function can be found by solving for y:
x = f(y)
Here, that is ...
x = 2/3y -6
x +6 = 2/3y . . . . . . . . . . . . . . add 6
y = 3/2(x +6) = 3/2x +9 . . . . multiply by 3/2
The inverse function is f⁻¹(x) = 3/2x +9.
__
Additional comment
Sometimes the division symbol ÷ is used to mean "divided by everything after this symbol." If that is the intended meaning, the function should be written as f(x) = 2/(3x -6) or f(x) = 2÷(3x -6).
We have interpreted the symbol according to the order of operations, which tells us that 2÷3x-6 means ((2÷3)·x)-6.
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4) It was recommended that the trees be planted 10 feet apart. The school chose to plant the first tree 15 feet away from the property line fence and then to space the trees 10 feet apart accordingly. Write a linear equation with y representing the total distance (in ft.) away from the property line fence and x representing the number of trees used.
a) Write another linear equation for this situation but use a different form.
b) Graph the situation described in question #4.
The linear function that model this problem is y = 10x + 15 and in standard form is 10x - y = -15
What is a Linear EquationA linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a single variable. It is of the form ax + b = 0, where a and b are constants and x is a variable.Sometimes, a linear function can also be said to be a linear equation which is an equation that can be written in the form Ax + By = C, where A, B, and C are constants and x and y are variables. Linear equations are used to describe relationships between two variables, and they can be used to solve a wide range of problems.
In this problem, we can write an equation in slope-intercept form.
This can be modelled in y = mx + c
To model the problem,
y = 10x + 15
a) To rewrite the problem in another form of linear equation, we can write this in the standard form.
Ax + By = C
10x - y = -15
b) The graph of the problem is attached below
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The 7% sale tax on the new $32,000 car
Answer:
7/100x32000
cancel the two zeros in 100 and 32000
7x320=2240
What is you favorite Fast Food restaurant and what do you like to get there?
(.Free .Points)
Line e has a slope of -7/3. Line f is parallel to line e. What is the slope of line f?
Answer:
-7/3
Step-by-step explanation:
Parallel lines have same slopes.
Simplify algebraic expression
Answer:
1
Step-by-step explanation:
To start, we will substitute 8 in for w. So, we get:
[tex]5 - \frac{32}{8}[/tex]
Then, we simplify our fraction, giving us:
5 - 4
Then, 5 - 4 = 1. So our answer is 1.
Hope this helped!
Answer:
5 - (32/w) = 1
Step-by-step explanation:
Given expression,
→ 5 - (32/w)
Now we have to use,
→ w = 8
Let's solve the expression,
→ 5 - (32/w)
→ 5 - (32/8)
→ 5 - (4)
→ 5 - 4
→ 1 => final value
Therefore, the answer is 1.
3 1/2 x 1 1/2 as a mixed number in simplest form
Answer: 8 3/4 because first find your common denominator, then solve the math and you will get 8 3/4
32. Hannah's gross wage is 1250perweek, buther' takehome' payisonly785 What percentage is this of her gross wage? Give your answer correct to the nearest whole percentage.
Therefore , the solution of gross pay problem is 62% is this of her gross wage.
What percentage is this of her gross wage?Hannah's take home pay of percentage 785 is 62.8% of her gross wage of 1250. This can be calculated by dividing 785 by 1250 and multiplying the answer by 100.
Here,
62.8% is the same as 0.628.
This can be calculated by dividing 785 by 1250.
To get the answer to the nearest whole percentage, we round up 0.628 to 0.63 which is 63%.
This means that Hannah's take home pay of 785 is 63% of her gross wage of 1250.
63% is the answer to the question: what percentage is Hannah's take home pay of her gross wage? This is correct to the nearest whole percentage.
To summarise, Hannah's take home pay of 785 is 63% of her gross wage of 1250, correct to the nearest whole percentage.
Hannah's take-home pay is 62.8% of her gross wage. This percentage is the result of taxes and other deductions taken by her employer.
Knowing this percentage can help Hannah better understand how much money she is taking home each week and how much money is being withheld from her paychecks.
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Please help !!
50 Points
Write a division problem that has a quotient of 9/10 . At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or improper fraction. Neither the dividend nor the divisor can be 9/10 .
By dividing we can get proper fraction is 9/10.We can find answer by dividing two fractions.
What is proper fraction with example?A proper fraction is a fraction which has its numerator value less than the denominator. For example, ⅔, 6/7, 8/9, etc. are proper fractions.. We simplify fractions because it is always to work or calculate when the fractions are in the simplest form.
How do you divide fractions?To divide a fraction with a whole number we multiply the given whole number with the denominator of the fraction. Here, 8/5 ÷ 5 = 8/5 × 1/5 = 8/25. Therefore, 8/5 ÷ 5 = 8/25. Because multiplication is easier than division and because division by itself does not always produce whole numbers.
Now we get
1/2 divide 5/9
1/2 * 9/5
9/5
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Please give me a step by step explanation
Answer:
[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]
Step-by-step explanation:
The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].
[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]
We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].
Now add these equations together to get our equation.
[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]
Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].
=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]
2) Write down the value of the digits in bold. (4)
(c) 5,893
SO00 (0) 9,990
(b) 3,59
(a) 6,298 200
Answer:
(4) (c) 5,893 SO00
(0) 9,990
(b) 3,59
(a) 6,298 200
Step-by-step explanation:
Given that
The value of the digits is
(4) (c) 5,893 SO00
(0) 9,990
(b) 3,59
(a) 6,298 200
We need to write the value of the digits in bold
So,
(4) (c) 5,893 SO00
(0) 9,990
(b) 3,59
(a) 6,298 200
in this way the value of the digits can be bold
Mia is taller than Gage. If m represents Mia’s height and g represents Gages hight write an inequity that shows the relationship between their heights. Answer plsssssssss
The inequality that shows the relationship between thier heights is; g < r or r > g
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Now we have the following parameters that can be used in our computation:
Reese is taller than Gage.
Also, we have
Reeses's height = r
Gage's height = g
Since Reese is taller than Gage, then it means that
The value of r is greater than the value of g
So, we have the following inequality expression;
r > g
Also, we have;
g < r
Hence, the inequality is g < r
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Y=6 and x=-1 parallel or perpendicular line
Answer:
perpendicular
Step-by-step explanation:
Answer if you know asap!