Answer:
Is there any other info?????
Step-by-step explanation:
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
P(A|B) = 1/3
What is Venn diagram?
"A Venn diagram in mathematics is a diagram that uses overlapping circles or other shapes to represent the logical relationships between two or more sets of items. "
What is probability?"For any experiment, a probability denotes the possibility of outcome for any event."
The formula to calculate the probability of an event:For event A, the probability of event A is,
P(A) = number of favorable outcomes/ total umber of outcomes
What is conditional probability?"Conditional probability is the probability of an event occurring given that another event has already occurred."
The formula to calculate the conditional probability:P(A|B) = P(A∩B)÷P(B)
For given diagram:
Let A represents a set of students playing Basketball and B represents a set of students playing Soccer
So, A = {Fran, Ian, Juan, Ella}
⇒ n(A) = 4
B = {Mickey, Marcus, Ella}
⇒ n(B) = 3
(A ∩ B) = {Ella}
⇒ n(A ∩ B) = 1
sample space: S = {Fran, Ian, Juan, Ella, Mickey, Marcus, Mai, Karl, Jada, Gabby}
⇒ n(S) = 10
Now, we calculate probability of B and A∩B.
P(B) = n(B)/n(S)
⇒ P(B) = 3/10
Also, P(A∩B) = n(A∩B) / n(S)
⇒ P(A∩B) = 1/10
So, the required probability would be,
⇒ P(A|B) = P(A∩B) ÷ P(B)
⇒ P(A|B) = (1/10) ÷ (3/10)
⇒ P(A|B) = 1/3
Therefore, P(A|B) = 1/3
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warm up help plz and thx
Answer:
D. for the first one and B. for the second one i think
Simplify this expression.
20.25 – 9 +11
-
o
18.75
21
O
40.75
Answer:
22.25
Step-by-step explanation:
there are no special things to be considered.
You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:
20.25 + 2 = 22.25
Help? Someone please?!
Answer:
b, d,
Step-by-step explanation:
Convert 5/8 into a denominator of 100
U can use the cross multiplication to find out
5/8 = x/100
x=5/8 * 100
x= 62.5
Your final answer: 62.5/100
Hope this does it
P.S
Plz mark brainliest?
The amount of money left in Alma's bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account? 12 weeks 16 weeks 22 weeks 26 weeks
Given:
The linear equation is
[tex]y=-27x+577[/tex]
where x represents the number of weeks and y represents the amount of money left in Alma's account.
To find:
The number of weeks in which Alma have $145 left in her account.
Solution:
We have,
[tex]y=-27x+577[/tex]
Substitute y=145, we get
[tex]145=-27x+577[/tex]
Subtract both sides by 577.
[tex]145-577=-27x[/tex]
[tex]-432=-27x[/tex]
Divide both sides by -27.
[tex]\dfrac{-432}{-27}=\dfrac{-27x}{-27}[/tex]
[tex]16=x[/tex]
So, the number of required weeks is 16. Therefore, the correct option is B.
Answer:
B
Step-by-step explanation:
Right on edge 2020
Samuel orders four DVDs from an online music store. Each DVD costs $10. He has 20% discount code, and sales tax is 8%. What is the total cost of his order?
Answer: calculator
Step-by-step explanation:
2.16$
[SREENSHOT ATTACHED]
Please helpp! :((
Each set of directions describes how to plot a point starting at the origin. Drag each set of directions to show what point would be plotted.
what is the answer/explanation for this question
There is no question stated
PLEASE HELP ME. Select Function or Not A Function.
Answer:
a and c are functions b is not
Step-by-step explanation:
a and c are both functions
while b, is not
Tom es el gerente del departamento de delicatessen en una tienda de comestibles. Debe programar que los empleados trabajen en el departamento durante al menos 260 horas a la semana. Tom tiene un empleado a tiempo parcial que trabaja 20 horas a la semana. Cada empleado a tiempo completo trabaja 40 horas a la semana. Escriba una desigualdad para determinar nnn, el número de empleados a tiempo completo que Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana.
Answer:
La desigualdad para determinar el número de empleados a tiempo completo que Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana es 20+40*n ≥ 260. Resolviendo al menos 6 empleados deben trabajar a tiempo completo.
Step-by-step explanation:
Una inecuación es una desigualdad entre letras (incógnitas) y números relacionados por operaciones aritméticas. Su conjunto solución es el conjunto de números reales que la satisfacen. En una desigualdad, dos expresiones algebraicas están conectadas a través de los signos: mayor que >, menor que <, menor o igual que ≤ y mayor o igual que ≥.
Tom tiene un empleado a tiempo parcial que trabaja 20 horas a la semana. Cada empleado a tiempo completo trabaja 40 horas a la semana. Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana.
Sabiendo que x representa la cantidad de trabajadores a medio tiempo y n la cantidad de trabajadores a tiempo completo, entonces 20*x+40*n representa la cantidad de horas que todos los empleados trabajan semanalmente. Si los empleados trabajen al menos 260 horas a la semana, esto significa que la cantidad de horas que todos los empleados trabajan a la semana debe ser mayor o igual a 260 horas. Entonces:
20*x+40*n ≥ 260
Si Tom tiene un empleado a tiempo parcial, entonces la cantidad de trabajadores a medio tiempo x debe tener un valor de 1. Entonces:
20*1+40*n ≥ 260
20+40*n ≥ 260
40*n ≥ 260 -20
40*n ≥ 240
n ≥ 240 ÷40
n ≥ 6
Entonces 6 empleados o más deben trabajar a tiempo completo.
Please Help!
1.
Given: ΔABC is a right triangle
∠A is a right angle
m∠B = 45˚
Prove: ∠B ≅ ∠C
STATEMENT: REASON:
2.
Given: m∠X = 4a + 2
m∠Y = 21a + 3
∠X and ∠Y are a linear pair
Prove: ∠Y is an obtuse angle
STATEMENT: REASON:
3.
Given: ∠A and ∠B are complementary angles
∠B and ∠C are complementary angles
Prove: ∠A ≅ ∠C
STATEMENT: REASON:
4.
Given: ΔMNP is a right triangle
∠M is a right angle
Prove: ∠N and ∠P are complementary angles
STATEMENT: REASON:
Answer:
1. ∠C ≅ ∠B by definition of congruency
2. m∠Y by definition of obtuse angle
3. ∠C ≅ ∠A by definition of congruency
4. ∠N and ∠P are complementary angles by definition of complementary angles
Step-by-step explanation:
1. The given parameters are;
Statement [tex]{}[/tex] Reason
ΔABC is a right triangle [tex]{}[/tex] Given
∠A is a right angle [tex]{}[/tex] Given
m∠B = 45° [tex]{}[/tex] Given
m∠A + m∠B + m∠C = 180° [tex]{}[/tex] Sum of interior angles of a triangle
m∠C = 180° - (m∠A + m∠B) [tex]{}[/tex]
m∠C = 180° - (90° + 45°) = 45° [tex]{}[/tex] Substitution property
m∠C = 45° = m∠B [tex]{}[/tex] Substitution property
∠C ≅ ∠B [tex]{}[/tex] Definition of congruency
2. Statement [tex]{}[/tex] Reason
m∠X = 4·a + 2 [tex]{}[/tex] Given
m∠Y = 21·a + 3 [tex]{}[/tex] Given
∠X and ∠Y are linear pair [tex]{}[/tex] Given
m∠X + m∠Y = 180° [tex]{}[/tex] Sum of angles of linear pair
4·a + 2 + 21·a + 3 = 180° [tex]{}[/tex] Substitution property
25·a + 5 = 180° [tex]{}[/tex]
a = (180 - 5)/25 = 7
m∠Y = 21 × 7 + 3 = 150° [tex]{}[/tex] Substitution property
m∠Y = 150° > 90
m∠Y is an obtuse angle [tex]{}[/tex] Definition of obtuse angle
3. Statement [tex]{}[/tex] Reason
∠A and ∠B are complementary angles [tex]{}[/tex] Given
∠A + ∠B = 180° [tex]{}[/tex] Definition of complementary angles
∠B and ∠C are complementary angles [tex]{}[/tex] Given
∠B + ∠C = 180° [tex]{}[/tex] Definition of complementary angles
∠B + ∠C = ∠A + ∠B [tex]{}[/tex] Transitive property
∠C = ∠A [tex]{}[/tex] Reverse of addition property of equality
∠C ≅ ∠A [tex]{}[/tex] Definition of congruency
4. Statement [tex]{}[/tex] Reason
ΔMNP is a right triangle [tex]{}[/tex] Given
∠M is a right angle [tex]{}[/tex] Given
∠M + ∠N + ∠P = 180° [tex]{}[/tex] Sum of interior angles of a triangle
∠N + ∠P = 180° - ∠M [tex]{}[/tex] Subtraction property of equality
∠N + ∠P = 180° - 90° = 90° [tex]{}[/tex] Substitution property of equality
∠N + ∠P = 90° [tex]{}[/tex] Substitution property of equality
∠N and ∠P are complementary angles [tex]{}[/tex] Definition of complementary angles.
If the m∠1 =57°, Find the measure of ∠6
A- 123 °
B- 57 °
C- 180 °
D- Cannot be determined
Answer:
123
Step-by-step explanation:
[tex]180 - 57 = 123[/tex]
The solution is, the value of m∠6 is 123, i.e. A- 123 °.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
from the given figure we get,
angle 1 is equal to angle 5
as they are corresponding angles,
so, m∠1 =57° = m∠5
now, we have,
that the sum of 5 & 6 is 180
so, they are supplementary angles.
i.e. m∠6 = 180 - m∠5
=180 - 57
=123
Hence, The solution is, the value of m∠6 is 123, i.e. A- 123 °.
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Maya claims that 8n is the number of dots in figure n. Kiana claims that the number of dots in figure n is given by 4(n+1)
Consider the square arrangements below in relation to the girls' expressions, where n represents the figure number.
Determine whether Maya, Kiana or both girls are correct in their given expressions. Justify your response.
The evaluation of your response will be based on the following criteria.
Answer:
Answer:
Kaya's answer is correct.
Step-by-step explanation:
The number of dots in successive figures are
8, 16, 24.
So Kaya's solution 8n is correct.
When n = 1, first square = 8*1 = 8 dots
n = 2: second square = 8*2 = 16
n = 3, 3rd square = 8*3 = 24.
If I have interpreted Kianna's formula correctly
for n = 1, then the number of dots = 2(1+ 1)^2 - 2(1 - - 1)^2
= 0.
What is 20 x 20 10 points it know
Answer:
400
Step-by-step explanation:
20*20 = 400
Answer:
20 x 20 is 400
Step-by-step explanation:
what is the y-intercept of the graph of the equation 3x+y=6
Answer:
Slope: − 3
y-intercept: ( 0 , 6 )
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b .
help PLEASE LIKE ACC STEP BY STEP FIND X PLZ
Answer:
33
Step-by-step explanation:
The sum of interior angles in a rectangle is 360°
98 + 98 + 98 + 2x = 360
294 + 2x = 360
2x = 66°
x = 33
A function is shown in the table below.
Х
18 -5
2.
-11 7
У
2
4
-7 12 11
Which additional point(s) can also be added to the table so that the table of values satisfies the definition
Select all that apply.
A. (-11,4)
B. (-5,3)
C (9,-5)
D. (7,13)
E. (0,4)
Answer:
Answer D, but you wanna subtract them from the opposite
The Bernards are trying to determine their babysitter's rates but are to embarrassed to just ask her. They were charged $20 for 2 hours last week, but only $31 for 4 hours this week. What is the formula to determine A(Amount) given t(time in hours)?
Answer:
A = 5.5t + 9
Step-by-step explanation:
We assume that the relationship between t and A is linear.
We have two points on a line: (2, 20) and (4, 31).
We now find the equation of the line.
A = mt + b
m = (31 - 20)/(4 - 2) = 11/2 = 5.5
20 = 5.5(2) + b
20 = 11 + b
b = 9
A = 5.5t + 9
-1•f(-8)-4•g(4)= ?
help
Answer:
-8(-f+2g)
Step-by-step explanation: is this helpful
Answer:
-8
Step-by-step explanation:
Find the value of x. PLEASE HELP - test tomorrow
The answer is 74.
I need to show my work.
THANK YOU!!!!!
Answer:
x = 74
Step-by-step explanation:
If you add all the angles in the diagram, you will get 360 degrees (since it's a complete revolution, and one revolution = 360 degrees).
Form an equation in x with this information:
4x+1+x-35+24 = 360
5x -10 = 360
5x = 370
x = 74
Hi I need help with this
Answer:
55
Step-by-step explanation:
90+35=125. 180-125=55. Answer: 55 degrees.
Answer:
Angle E = B. 55 degrees
Step-by-step explanation:
Every triangle's angles always add up to 180 degrees.
Angle F is marked as a 90 degrees angle, so we can then add 35 and 90 together to get 125.
Then, subtract 125 from 180 to get the measure of Angle E.
180 - 125 = 55
Angle E is measured at: B. 55 degrees.
Please mark me Brainliest, I need it to move on to the next level! =)
-
Michael uses lemonade concentrate and water to make lemonade for the family. The ratio of cups of lemonade
concentrate to cups of water is 1:3. If he made 32 cups of lemonade for the family, how many cups of
concentrate did he need?
Answer:
8 cupsStep-by-step explanation:
Given that the ratio is 1:3
concentrate =1
water=3
the total =3+1=4
using the part to all method
1/4=x/32
cross multiply
4x=32
divide both sides by 4 we have
x=32/4
x=8
Therefore the amount of concentrate is 8 cups
Hector cycled a total of 12 kilometers by making 4 trips to work. After 6 trips to work, how many kilometers will Hector have cycled in total? Solve using unit rates.
NOWWWW PLEASEEE!!!
Answer:
18km
Step-by-step explanation:
12km = 4 trips
express as a ratio.
3km : 1trip
then subsitute the amount of trips.
18km : 6trips
find the inverse of f(x)=x^3-8
Answer:
Step-by-step explanation:
Electron rescued 5 dogs and 3 cats this week.
If this happens every week for 6 weeks, how many animals
will Electron rescue?
Answer:
48
Step-by-step explanation:
5+3 multiplied by 6 weeks is 48
suppose you are buying two kinds of chips for a party. Each bag of potato chips cost $2.50 and each bag of corn chips cost $2.90. You must have at least 100 bags of chips for the party and the total cost of the chips can be no more than $350
Part A:Write a system of two inequalities that describe the situation
Part B: Write one possible solution to the problem in sentence form
Answer:
At least means ≥
No more than means ≤
Let x = number of bags of potato chips
Let y = the number of bags of corn chips
x+y≥100
2.50x+2.90y≤$350
Let's try x=80 and y=20 (We know that is equals 100 so it will work for the first equation
2.50(80)+2.90(20) = 258 which is ≤$350
Buy 80 bags of potato chips and 20 bags of corn chips is one possibility.
72 ounces in 6 steaks
Answer:
Each steak is 72/6 = 12 oz
Step-by-step explanation:
Unit rate = total ounces / total steaks:
72 ounces / 6 steaks = 12 ounces per steak
Unit rate = 12 ounces per steak.
Which is the simplified form of p0?
Answer: 1
Step-by-step explanation:
In the diagram, △ABC ~ △DEF. What is AC?
The image is of two similar right triangles ABC and DEF with right angles at B and E respectively. First one smaller in size and its base is 3. Base, altitude and hypotenuse of second one are 6, 8 and 10 respectively.
A. 4
B. 7.5
C. 5
D. 3
Answer:5
Step-by-step explanation: If you look at the base of both triangles, you'll notice that the smaller one has a base of 3, and the bigger one has a base of 6. The smaller triangle is half of the big one, therefore we can safely say that the hypothenuse of the smaller triangle is half of that of the larger one. Half of 10 is 5.
I had the same question on my homework.