Answers
The table based on the information will be:
FFA Member | Not FFA Member | Total
AA Member | 0.32 | 0.10 | 0.42
Not AA | 0.40 | 0.18 | 0.58
Total | 0.72 | 0.28 | 1.00
The probability that a student selected at random is a member of at least one of the two organizations is 0.82.
The probability that Raquel is a member of FFA, given that she is a member of one of the two organizations, is approximately 0.4878.
How to calculate the probabilityP(A or B) = P(A) + P(B) - P(C)
= 0.72 + 0.42 - 0.32
= 0.82
So the probability that a student selected at random is a member of at least one of the two organizations is 0.82.
It should be noted that to find the probability that Raquel is a member of FFA, we need to use conditional probability. Let's call the event that Raquel is a member of FFA "A", and the event that she is a member of either FFA or AA "B". Then we want to find:
P(A | B)
We already know that P(B) = 0.82 (from the previous calculation), and we can see from the Venn diagram that the probability of Raquel being in set A intersect B is 0.4 (since she's in one of the two organizations).
So we can use the formula for conditional probability:
P(A | B) = P(A and B) / P(B)
P(A and B) = 0.4 (the probability of being in both A and B)
P(B) = 0.82 (as previously calculated)
P(A | B) = 0.4 / 0.82
≈ 0.4878
So the probability that Raquel is a member of FFA, given that she is a member of one of the two organizations, is approximately 0.4878.
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Related Questions
What is the answer to f(1)= ?
Answers
Answer:
f(1) = 1
Step-by-step explanation:
To go 1 on the x-axis and check to see where it is on the y-axis. In this case, when x = 1, y = 1.
Therefore, f(1) = 1.
the gym has 4 times as many baseballs than baskeballs. The gym has 25 total balls. How many more baseballs than baskestballs does the gym have?
Answers
25x4=100
hope this helps
Answer:
25
Step-by-step explanation:
Please help i need it!!!!!
A 6 N crate is lifted 2 meters. How much work is done?
A) 12 N/m
B) 4 N/m
C) 8 N/m
D) 3 N/m
Answers
The amount of work done is Option A) 12 N/m
What is work done?Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.
It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.
Work done on a body is equivalent to the increase in the energy of the body, because it transfers energy to the body.
The formula for work done is;
W = fd
Where, 'f' is the applied force and d is the distance
Substitute the values
Work done = 6(2)
Work done = 12 N/m
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Above are two different models of the same rectangular hallway. If the length of the model on the top is 6 cm, what is the length of the model on the bottom?
Answers
Answer: 15cm
Step-by-step explanation: If the length of the model on the top is 6 cm, then the length of the model on the bottom must be 15 cm
In a class of 42 students, the number of boys is 2/5 of the girls. Find the number of boys and girls in the class.
Answers
Answer:
BOYS = 30.
GIRLS = 12.
Step-by-step explanation:
Boys: B
Girls: G
B = (2/5)G
B + G = 42.
(2/5)G + G = 42
2G + 5G = 210
7G = 210
G = 210/7
G = 30.
B = (2/5)G
B = (2/5)(30)
B = 60/5
B = 12.
Answer:
\(\Huge \boxed{\bold{\text{12 Boys}}}\)
\(\Huge \boxed{\bold{\text{30 Girls}}}\)
Step-by-step explanation:
Let the number of girls be \(g\) and the number of boys be \(b\).
According to the problem: \(b = \frac{2}{5} \times g\)
We also know that the total number of students is 42, so \(b + g = 42\).
Now, we have two equations with two variables:
\(b = \frac{2}{5} \times g\) \(b + g = 42\)We can solve these equations to find the values of \(b\) and \(g\).
Step 1: Solve for \(\bold{b}\) in terms of \(\bold{g}\)
From the first equation, we have\(b = \frac{2}{5} \times g\)
Step 2: Substitute the expression for \(\bold{b}\) into the second equation
Replace \(b\) in the second equation with the expression we found in step 1.
\(\frac{2}{5} \times g + g = 42\)
Step 3: Solve for \(\bold{g}\)
Now, we have an equation with only one variable, \(g\):
\(\frac{2}{5} \times g + g = 42\)
To solve for \(g\), first find a common denominator for the fractions:
\(\frac{2}{5} \times g + \frac{5}{5} \times g = 42\)
Combine the fractions:
\(\frac{7}{5} \times g = 42\)
Now, multiply both sides of the equation by \(\frac{5}{7}\) to isolate \(g\):
\(g = 42 \times \frac{5}{7}\)\(g = 30\)Step 4: Find the value of \(\bold{b}\)
Now that we have the value of \(g\), we can find the value of \(b\) using the first equation:
\(b = \frac{2}{5} \times g\)\(b = \frac{2}{5} \times 30\)\(b = 12\)So, there are 12 boys and 30 girls in the class.
----------------------------------------------------------------------------------------------------------
Function: g(x) = 2x² - 8
For x ≥ 0, the inverse function is f(x)=
X
For x ≤ 0, the inverse function is d(x)= -
-8
0
10
DONE
f(x) d(x)
0
r
S
q
-2
t
q
√√₂x+4
SE
√₁x +4
0000
11
t =
Answers
Step-by-step explanation:
for the function
�
(
�
)
=
2
�
2
−
8
g(x)=2x
2
−8
, q = 0, r = 2, s = 3, t = -3
The given function is:
�
(
�
)
=
2
�
2
−
8
g(x)=2x
2
−8
The inverse of
�
(
�
)
=
2
�
2
−
8
g(x)=2x
2
−8
for x ≥ 0 is
�
(
�
)
=
1
2
�
+
4
f(x)=
2
1
x+4
The inverse of
�
(
�
)
=
2
�
2
−
8
g(x)=2x
2
−8
for x ≤ 0 is
�
(
�
)
=
−
1
2
�
+
4
d(x)=−
2
1
x+4
For x = -8
�
(
−
8
)
=
−
1
2
(
−
8
)
+
4
�
(
−
8
)
=
0
d(−8)=−
2
1
(−8)+4
d(−8)=0
q = d(-8) = 0
r = f(0)
�
(
�
)
=
1
2
�
+
4
�
(
0
)
=
1
2
(
0
)
+
4
�
(
0
)
=
4
�
(
0
)
=
2
f(x)=
2
1
x+4
f(0)=
2
1
(0)+4
f(0)=
4
f(0)=2
r = 2
s = f(10)
�
(
�
)
=
1
2
�
+
4
�
(
10
)
=
1
2
(
10
)
+
4
�
(
10
)
=
9
�
(
10
)
=
3
f(x)=
2
1
x+4
f(10)=
2
1
(10)+4
f(10)=
9
f(10)=3
s = 3
t = d(10)
�
(
�
)
=
−
1
2
�
+
4
�
(
10
)
=
−
1
2
(
10
)
+
4
�
(
10
)
=
−
9
�
(
10
)
=
−
3
d(x)=−
2
1
x+4
d(10)=−
2
1
(10)+4
d(10)=−
9
d(10)=−3
Therefore, for the function
�
(
�
)
=
2
�
2
−
8
g(x)=2x
2
−8
, q = 0, r = 2, s = 3, t = -3
The value of variables are,
q = 0
r = 2
s = - 3
t = 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
g (x) = 2x² - 8
Now, We have;
For x ≥ 0;
The inverse function is,
⇒ f (x) = √1/2x + 4
And, For x ≤ 0;
The inverse function is,
⇒ d (x) = - √1/2x + 4
Hence, For x = - 8;
⇒ d (x) = - √1/2x + 4
⇒ q = - √1/2 × - 8 + 4
⇒ q = - √- 4 + 4
⇒ q = 0
For x = 0;
⇒ f (x) = √1/2x + 4
⇒ r = √1/2 × 0 + 4
⇒ r = √0 + 4
⇒ r = 2
For x = 10;
⇒ d (x) = - √1/2x + 4
⇒ t = - √1/2 × 10 + 4
⇒ t = - √5 + 4
⇒ t = - 3
For x = 10;
⇒ f (x) = √1/2x + 4
⇒ s = √1/2 × 10 + 4
⇒ s = √5 + 4
⇒ s = 3
Thus, The value of variables are,
q = 0
r = 2
s = - 3
t = 3
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what is A = bh solve for h
Answers
Answer:
Since you havent left us much background we will make it a/b=h
Write an equations and solve.
The bill for coffee selling for $7/1b was $42. How many pounds of coffee were
purchased?
Answers
Divide 42 by 7
X=6
6 pounds of coffee were purchased.
Can somebody help me?
Answers
Answer: (5 × 8) - (5 × 1)
Step-by-step explanation:
When you use the distributive property, you essentially distribute a number to terms it is being multiplied by in order to make the calculation process easier.
When you use the distributive property, you distribute the number outside a multiplication statement to the numbers inside. In this case, 5 is the number outside, and 8 and 1 are the numbers inside.
When you distribute the number 5 to the eight, you are left with (5 × 8). However, you must still include 1, the other number in the parentheses, to finish the equation.
With 1, you go through the same process as you did before. You distribute the number 5 to the 1 and are left with (5 × 1). However, in the original equation, you are subtracting the 8 by the 1, so you must account for the subtraction sign.
You essentially subtract the number you get from (5 × 8) by the number you get from (5 × 1). Therefore, your answer is (5 × 8) - (5 × 1).
Calculate the circumference of a circle with a radius of 8 inches.
Answers
To calculate the circumference of a circle, you can use the formula:
\(\displaystyle C=2\pi r\)
Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.
Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:
\(\displaystyle C=2\pi (8)\)
Simplifying the expression:
\(\displaystyle C=16\pi \)
Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.
Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
2.50 x 3.5
btw my friend wanted to know the answer of this!!
ikr this is so easy but answer thx
Answers
Answer:
The answer is 8.75
Step-by-step explanation:
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
Answers
Standard Form Word Form 56.45 Twenty-eight and four tenths 196.7 Two thousand, five hundred fifty-one and thirty-three hundredths 0.492 Nine thousandths
Answers
Answer:
1) fifty six and forty five hundredths 2) 28.4 3) one hundred ninety six and seven tenths 4) 2,551.33 5) four hundred ninety two thousandths 6) .009
Step-by-step explanation:
What is the range of the function shown on the graph
Answers
Answer:
-2<=y<=-7
Step-by-step explanation:
Which expression is equivelent to x^2 +2x+2
Answers
Answer:
(x+1-i)(x+1+i)
Step-by-step explanation:
\( \dashrightarrow \: { \tt{ {x}^{2} + 2x + 2 }}\)
• From the general quadratic equation:
\( \dashrightarrow \:{ \boxed { \tt{ {ax}^{2} + bx + c }}}\)
Sum = (b/a)Product = (c/a)From x² + 2x + 2:
Sum = 2Product = 2Factors = No real rootsFrom Bulldozer;
\({ \tt{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ \\ { \tt{x = \frac{ - 2 \pm \sqrt{4 - (4 \times 1 \times 2)} }{2} }} \\ \\ { \tt{x = \frac{ - 2 \pm \sqrt{ - 4} }{2} }} \\ \\ { \tt{x = \frac{ - 2 \pm \sqrt{4 {i}^{2} } }{2} } \: \: \{ \red{for \: - 1 = {i}^{2} } \}} \\ \\ { \tt{x = \frac{ - 2 \pm2i}{2} }} \\ \\ { \tt{x = - 1 \pm i}}\)
Therefore;
\({ \tt{(x + 1 + i)(x + 1 - i)}}\)
On a number line, point Q is located at 1.6. The distance from point P to point Q is 1.02. Which of the following could be the location of point P on the number line?
Answers
PLEASE HELP ASAP
Triangle HJK is transformed to similar triangle H′J′K′:
A coordinate plane is shown. Triangle HJK has vertices H at 8 comma 8, J at 8 comma 4, and K at 4 comma 4. Triangle H prime J prime K prime has vertices H prime at 2 comma 2, J prime at 2 comma 1, and K prime at 1 comma 1.
What is the scale factor of dilation? (4 points)
Group of answer choices
1 over 2
1 over 3
1 over 4
1 over 5
Answers
9514 1404 393
Answer:
1/4
Step-by-step explanation:
Each coordinate of H'J'K' is 1/4 of the value for HJK.
The scale factor is 1/4.
Answer:
1/4 would be right I am 100% sure
Find the value of x in the parallelogram
Answers
The value of x in the parallelogram is 112°.
In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.
To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.
Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.
Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.
Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.
This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.
For the given question, we know x° + 68° = 180°.
Then x° = 180° - 68°
x° = 112°
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c. Decrease 470 by 20%
Answers
Answer:
376
Step-by-step explanation:
Decrease 470 by 20%:
20% = 0.2
= 470 * 0.2
= 94 is 20% of 470
now decrease 740 by 94:
= 470 - 94
= 376
Read the passage from the ancient Egyptian Book of the Dead.
First, the body had to be preserved through the process of embalming. This is mummification. The soul also had to be supported with spells from the Book of the Dead. They believed that the afterlife was a mysterious place where the dead person traveled. The funeral marked the transition of the dead person from the world of the living to the land of the dead. The person would then travel to the Hall of Truth.
What is the central purpose of this passage?
to describe how spells were cast upon the soul
to describe the process for entering the afterlife
to explain why funerals were necessary to the afterlife
to explain that mummification involves embalming the body
Answers
Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
Answers
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
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Find the area of the shape shown below. Please answer.
Answers
Answer:
32
Step-by-step explanation:
2x2=4/2=2 small triangle, 2x2=4 small square, 6x2/2=6 med. triangle, 6+2+2=10x4=40/2=20
2+4+6+20=32
eight hundred twenty nine and six tenths as a decimal
Answers
Any other questions ask :)
Which expression is equivalent to
Answers
Answer:
D
Step-by-step explanation:
x^2 - 7x + 12 + (x - 3)^2 Add (x - 3)^2 after it has been expanded.
x^2 - 7x + 12 + x^2 - 6x + 9 Combine like terms
2x^2 -7x - 6x + 21
2x^2 - 13x + 21 Factor
(2x - 7)(x - 3)
Which is exactly what D says.
need help. Solve for the following variables
Answers
Answer:
x = 25°
y = 55°
Step-by-step explanation:
Finding the angles of a parallelogram:In Parallelogram, opposite angles are equal.
3x - 15 = 60
Add 15 to both sides,
3x = 60 + 15
3x = 75
Divide both sides by 3,
x = 75÷3
\(\sf \boxed{x = 25^\circ}\)
AB // CD and BD is transversal, So, alternate interior angles are equal.
y = 55°
A farmer is studying the amount of solid particles in a small pond. He determines that the average density of particles in the water is 100 milligrams per liter. The pond contains 200,000 liters of water. What is the total mass in KILOGRAMS of the particles in the pond?
(1000 milligrams = 1 gram and 1000 grams = 1 kilograms)
A.
0.2 kg
B.
20 kg
C.
200 kg
D.
20,000 kg
Answers
Answer:
Step-by-step explation: Revised 8/15. F001. Surface area of a pond, acres = Length, ft x Width, ft. 43560. F002. Volume
Which is a graph of the ordered pairs formed from the corresponding terms of Pattern S and Pattern T? Pattern S starts at 10 and uses the rule "Subtract 1". Pattern T starts at 10 and uses the rule "Subtract 2". 10 10 20 8 6 6 4 2 2 2 0 0 0- 0 1 2 3 1 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 5 6 7 8 9 10
Answers
We have that for pattern S, the pattern starts at 10 and substracts 1, then we have:
\(S\colon10,9,8,7,6,5,4,3,2,1\)then, for pattern T, it starts at 10 and then substracts 2, then:
\(T\colon10,8,6,4,2,0\)if we write these patterns as ordered pairs, starting from left to right, with the form (s,t), we have:
\((10,10),(9,8),(8,6),(7,4),(6,2)_{}\)notice that only graph 2 represents these ordered pairs, therefore, the correct option is the middle graph
Which one has the same volume
Answers
Answer:
u should've cropped out ur name
Step-by-step explanation:
The equation that defines 'x' as a function of 'y' will be x = 5 - 3y. Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Let's check all the options, then we have
A. x = 5 - 3y, the independent variable is 'y' and the dependent variable is 'x'.
B. y = 0x + 5, the independent variable is 'x' and the dependent variable is 'y'.
C. x² + y² = 2, it is not a function because the number of values of 'x' and 'y' will be two.
D. x² = y, it is not a function because the number of values of 'x' will be two.
The equation that defines 'x' as a function of 'y' will be x = 5 - 3y. Then the correct option is A.
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help pleaseeeeeeeeee
Answers
(X-6)(X+4)=0
X= 6 or X =4
If m∠12 = 117° and m∠5 = 51°, find each measure.
m∠1 = º m∠8 = º
m∠2 = º m∠9 = º
m∠3 = º m∠10 = º
m∠4 = º m∠11 = º
m∠6 = º m∠13 = º
m∠7 = º m∠14 = º
Answers
Answer:90
Step-by-step explanation: