A school debate team has 4 girls and 6 boys. A total of 3 of the team
members will be chosen to participate in the district debate. What is
the probability that 3 girls and no boys will be selected?
Answers
Answer:
C. 1/30
Step-by-step explanation:
From the question, we are told that, there are
Girls = 4
Boys = 6
Total number of children = 10
We are told to find the probability of choosing 3 girls and no boy
To solve for this, we would be using the combination formula
C( n, r) = nCr = n!/r ! (n - r) !
Probability of choosing 3 girls out of 4 = 4C3
Probability of a total of 3 of the team
members = 10C3
The probability of choosing 3 girls and no boy = 4C3 ÷ 10C3
= 4!/3! (4 -3)! ÷ 10!/3! (10 -3)!
= [4! / 3! × 1! ]÷[ 10!/ 3! × 7!]
= [4 × 3 × 2 × 1/ 3 × 2 × 1 × 1 ] ÷ [ 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/ 3 × 2 × 1 × 7 × 6 × 5 × 4 × 3 × 2 × 1]
= [ 4 ] ÷ [ 720/6]
= 4 ÷ 120
= 1/30
Therefore, the probability that 3 girls and no boys will be selected = 1/30
Related Questions
Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5
Answers
Step-by-step explanation:
x + 78 = 180
x = 180 - 78
x = 102° for <5
Which of the following angles can be trisected using only a compass and straightedge?
A. 45⁰
B. 125⁰
C. 65⁰
D. 175⁰
Answers
Answer:
i believe it is c
Step-by-step explanation:
Which of the following numbers is the largest?
A) 13 hundredths
B) 0.026
C) 8 thousand
D) 0.1
Answers
Answer:
Hi your answer should be 8 thousand
Step-by-step explanation:
Answer:
c ( 8000)
Step-by-step explanation:
A comes out 0.13
B is 0.026
c is 8000
D is 0.1
Absolutely c is the right answer.
Please mark me brainliest. I need to rank up.
Common household electric current is called alternating current because the current alternates direction within the wires. The voltage V in a typical 115-volt outlet can be expressed by the function V(t)=163 sin wt Upper V left parenthesis t right parenthesis equals 163 sine omega t
,
where omega=w
is the angular speed (in radians per second) of the rotating generator at the electrical plant and t is the time measured in seconds. It is essential for electric generators to rotate at precisely 60 cycles per sec.
How many times does the current oscillate in 0.30
sec?__times
Answers
Answer:
n = 18 cycles
Step-by-step explanation:
To know how many times does the current oscillates in the given time, you take into account that the number of oscillation can be calculated by using the following expression:
[tex]n=ft[/tex] (1)
f: frequency of the oscillation of the current
t: time = 0.30s
The frequency is the number of cycles per second, that is, f = 60 cycles/s
You replace the values of f and t in the equation (1):
[tex]n=(60\frac{cycles}{s})(0.30s)=18\ cycles[/tex]
In 0.30s the current oscillates 18 times
What percent of the rectangle below is shaded?
Answers
Answer:
80% of the rectangle is shaded.
Step-by-step explanation:
There are 10 rows and of those rows 8 are shaded.
Answer:
D
Step-by-step explanation:
80/10
10 20 30 40 50 60 70 80 90 100
8 shaded so 80 percent
What is the equation of a line with a slope of -3 and a y-intercept of 4
Answers
Answer:
y = -3x + 4
Step-by-step explanation:
So the -3 is the slope and the slope always has an x and the y intercept is b which is 4
Answer:
y = -3x + 4
Step-by-step explanation:
slope-intercept form: y = mx + b
Note that: m = slope
y- intercept = b
m = slope = -3
y-intercept = b = 4
Plug in the corresponding number to the corresponding variables:
y = mx + b
y = -3x + 4 is your answer.
~
Graph the result of the following transformation on f(x).
Answers
Answer:
mp.3
Step-by-step explanation:
Determine if triangle DEF with coordinates D(2,1), E(3,5), and F (6,2) is an equilateral triangle. Use evidence to support your claim
Answers
Answer:
No, it is isosceles.
Step-by-step explanation:
(In assumption that the points have been plotted on a graph)
After the points have been plotted we need to find the distance between each set of points. DE, DF, and, EF.
Finding DE and DF
To find DE and DF, we need to do some counting. From point D to point E, we travel 2 units right, and 8 units up forming an imaginary triangle with a right angle. From D to F, we again travel 8 units right and 2 units up, forming the same triangle, just oriented slightly differently.
Using the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) we can plug in some values to find C and two of our side lengths.
[tex]a^2+b^2=c^2[/tex]
[tex]2^2+8^2=c^2[/tex]
[tex]4 + 64 = c^2[/tex]
[tex]68=c^2[/tex]
[tex]\sqrt{68} =c[/tex]
[tex]8.25=c[/tex]
The lengths of DE and DF are both roughly 8.25
Finding EF
Finding EF is going to be the same process but just a little different.
If we start at E and travel to F, we move down 6 units and right 6 units, forming another right triangle. now we use the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) again, to find C and the length of EF.
[tex]a^2 + b^2 =c^2[/tex]
[tex]6^2+6^2=c^2[/tex]
[tex]36+36=c^2[/tex]
[tex]72=c^2[/tex]
[tex]\sqrt{72} =c[/tex]
[tex]8.49=c[/tex]
The length of EF is roughly 8.49 units.
Since not all of the sides of the triangle are the length, triangle DEF is not equilateral. Instead triangle DEF is isosceles.
Answer:
No it is isosoles
Step-by-step explanation:
18y^8x^4w^6 and 30y^7w^3
Answers
Answer:
10
Step-by-step explanation:
What are the solutions to this quadratic equation? -2x^2 + x + 4 = 0
Answers
Answer:
the third one
Step-by-step explanation:
use quadratic equation
the amount of pollutants that are found in waterways near large cities is normally distributed with a mean of 9.1 ppm and a standard deviation of 1.5 ppm. 9 randomly selected large cities are studies. for the 9 cities, find the probability that the average amount of pollutants is less than 9.6 ppm.?
Answers
Answer:
Step-by-step explanation:
Let x be the random variable representing the amount of pollutants that are found in waterways near large cities. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 9.1
σ = 1.5
n = 9
the probability that the average amount of pollutants is less than 9.6 ppm is expressed as
P(x < 9.6)
z = (9.6 - 9.1)/(1.5/√9) = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
Therefore,
P(x < 9.6) = 0.84
The Value of 3^4 + 5 . 5= ___. please help!!!!!!!!!
Answers
Answer:
[tex]86.5[/tex]
Step-by-step explanation:
[tex]3^4+5.5[/tex]
[tex]81+5.5[/tex]
[tex]86.5[/tex]
Answer:
86.5
Step-by-step explanation:
3^4 + 5 . 5
Exponents first
3^4=81
81+5.5
86.5
Sorry for my first answer
Which statements are true about reflections? Check all that apply.
An image created by a reflection will always be congruent to its pre-image.
An image and its pre-image are always the same distance from the line of reflection.
If a point on the pre-image lies on the line of reflection, the image of that point is the same as the pre-image.
The line of reflection is perpendicular to the line segments connecting corresponding vertices.
The line segments connecting corresponding vertices are all congruent to each other.
The line segments connecting corresponding vertices are all parallel to each other.
Answers
Answer:
A, B, C, D, F
Step-by-step explanation:
A. An image created by a reflection will always be congruent to its pre-image.
Congruent means identical or similar. The orientation, size, and shape of the pre-image are not changed after a reflection- therefore, the pre-image and image are congruent.
B. An image and its pre-image are always the same distance from the line of reflection.
When a pre-image is flipped across the line of reflection, both figures are perfectly symmetrical. Nothing has changed aside from orientation and location on the graph. The number of units between the figures and the line of reflection should remain unchanged.
C. If a point on the pre-image lies on the line of reflection, the image of that point is the same as the pre-image.
When you reflect a pre-image with a point that lies on the line of reflection, that point will stay on the line of the reflection as the rest of the figure is flipped.
I will explain these two answers together since they have similar explanations.
D. The line of reflection is perpendicular to the line segments connecting corresponding vertices.
F. The line segments connecting corresponding vertices are all parallel to each other.
In a reflection, the horizontal or vertical (depending on the line of reflection, y-axis or x-axis) coordinates are altered. However, if one were to draw an imaginary line connecting the corresponding vertices, both the image and pre-image are parallel and perpendicular.
I hope this helped, good luck on your work/test!
Answer:
A. An image created by a reflection will always be congruent to its pre-mage.
B. An image and its pre-image are always the same distance from the line of reflection.
C. If a point on the pre-image lies on the line of reflection, the image of that point is the same as the pre-image.
D. The line of reflection is perpendicular to the line segments connecting corresponding vertices.
F. The line segments connecting corresponding vertices are all parallel to each other.
Step-by-step explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.
The triangles shown below must be congruent. True or false?
Answers
Answer:
A
Step-by-step explanation:
Which ordered pair represents the solution to the system of equations? {4x−2y=18−3x−4y=−8 (4, −1) (5, 1) (−1, 4) (43, 1)
Answers
Answer:
b
Step-by-step explanation:
Answer:
(4,-1)
Step-by-step explanation:
I took the quiz
Scarlet and Paula are on a vacation. They went to a store to buy some souvenirs for their friends back home. Scarlet bought three pairs of sunglasses and two shirts for $81 and Paula bought one pair of sunglasses and five shirts for $105. What is the cost of one pair of sunglasses and one shirt? The cost of one pair of sunglasses is $15 and the cost of one shirt is $18. The cost of one pair of sunglasses is $18 and the cost of one shirt is $15. The cost of one pair of sunglasses is $12 and the cost of one shirt is $23. The cost of one pair of sunglasses is $23 and the cost of one shirt is $12.
Answers
Answer:
a
Step-by-step explanation:
1. Choose a person.
2. Substitute the numbers into the correct values.
105 - 15 = ?/5 = 18
105 - 18 = ?/5 = 3.48
105 - 12 = ?/5 = 18.6
105 - 23 = ?/5 = 16.4
It is A because it is the only one in which the answer is equivalent to the cost.
Hope this helps:)
Answer:
The answer is A. .
Step-by-step explanation:
Let [tex]s[/tex] represent the amount of sunglasses bought and [tex]t[/tex] represent the amount of shirts bought.
Scarlet bought 3 pairs of sunglasses and 2 shirts for $81. In other words:
[tex]3s+2t=81[/tex]
Paula bought one pair of sunglasses and five shirts for $105. In other words:
[tex]s+5t=105[/tex]
We have a system of equations and can solve it by isolating [tex]s[/tex].
[tex]s+5t=105[/tex]
[tex]s=105-5t[/tex]
Now, substitute.
[tex]3s+2t=81[/tex]
[tex]3(105-5t)+2t=81[/tex]
[tex]315-15t+2t=81[/tex]
[tex]-13t=-234[/tex]
[tex]t=18[/tex]
Now, determine [tex]s.[/tex]
[tex]s=105-5t[/tex]
[tex]s=105-5(18)[/tex]
[tex]s=15[/tex]
Thus, a pair of sunglasses is $15 and a shirt is $18.
A group of fitness club members lose a combined toltal of 28 kilograms in 1week. There are approximately 2.2 pounds in 1 kilograms. Assuming the weight loss happened at a constant rate about pounds did the group lose each day?
Answers
Answer:8.8
Step-by-step explanation:
2.2*28=61.6
61.6/7=8.8
Pls Mark me as Brainliest
Which oneee ?????????
Answers
Answer:
Middle. The conflict normally builds near the middle.
Step-by-step explanation:
If a translation maps point (3, 2) to (4, 5); or T: (3, 2) —>(4,5), indicate the image for (2,4).
O (3,7)
O (2,-1)
O (5,3)
Answers
Answer:
(5,3)
I'm not soooo sure I'm %50 sure
How many solutions are there to the equation below?
5x + 48 + 7x = 12 (x + 4)
A. 1
B. Infinitely many
C. 0
Answers
Answer:
B. Infinitely Many
Step-by-step explanation:
Step 1: Distribute
5x + 48 + 7x = 12x + 48
Step 2: Combine like terms
12x + 148 = 12x + 48
If the 2 lines are the same, which they are, they are the same lines. That means there are an infinite amount of solutions. If they had the same slope but different y-intercepts, there would be no solutions because the lines are parallel. Any other pair of equations would have 1 solution.
Answer:
B. Infinitely Many
Step-by-step explanation:
When you simplify the term on the left of the equation, it is exactly the same as the term on the right. Therefore, you can substitute virtually anything in for variable "x" and it would still be correct.
These triangles are NOT similar! Why not?
Use calculations AND words to explain.
Answers
Answer:
if ΔPQR ≈ ΔSTU =>
=> PQ/ST = PR/SU = QR/TU
9/7 = 12/8 = 15/10
9×8 = 7×12
72 = 84 (false)
=> ΔPQR ≠ ΔSTU
Which elements in the same below are integers? -3,3.7,9,-7.34,2.83,5,56/7,-1
Answers
Answer:
Integers -3, 9, 5, 56/7, -1
Step-by-step explanation:
Integers are whole numbers that can be positive or negative. They do not have decimals.
Stephen is making soup.
He mixes one packet of soup with water to make 6 litres of soup.
Stephen has to make 90 bowls of soup.
He wants to put 0.2 litres of soup into each bowl.
How many packets of soup does Stephen need?
Help this is due today
Answers
Answer:
90 / 6 = 15
You need 15 times more of the recipe
1 x 15 = 15 packets in total
15 - 0.2 = 14.8 packets needed
Hope this helps
Step-by-step explanation:
20 Points For Answering ( and getting it right) ! )
Which statements accurately describe how to determine the y-intercept and the slope from the graph below? On a coordinate plane, a line goes through points (0, negative 6) and (3, 0). To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction. To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.
Answers
Answer:
the answer is select one of the two bottom statements which say"To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation."
Step-by-step explanation:
Took the test and got it right
Answer:
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
Step-by-step explanation:
It C got it right on edge 2020
Solve using substitution
PLEASE HELP!
Answers
Answer:
(2, 7, 2)
Step-by-step explanation:
z=2, so we have:
x=2y-6z (this becomes x=2y-12)
-5x-2y=-24 (since there are no z's in this equation, we can't do anything.)
x-2y=-12
-5x-2y=-24
We can use the method of elimination to solve this system of equations, but first, to do that, we must multiply the top equation by -1
-x+2y=12
-5x-2y=-24
Now, the 2y and -2y can cancel out!
-6x=-12
x=2
If x=2, we can substitute that into this equation: x-2y=-12.
And we get: 2-2y=-12
Subtract 2: -2y=-14
y=7
Finally, we have our answer: x=2, y=7, z=2.
Answer:
( 2, 7, 2 )
Step-by-step explanation:
Take a look at the attachment below;
It took $4$ days for $75$ workers, all working together at the same rate, to build an embankment. If only $50$ workers had been available, how many total days would it have taken to build the embankment?
Answers
Answer:
2.67 days
Step-by-step explanation:
75/4=18.75
18.75/50=2.67
A can holds 2 liters of paint. How many cans can we fill with 11 liters of paint?
Answers
Answer:
5.5
Step-by-step explanation:
Each can holds 2 liters of paint. There is 11 liters of paint. The question is asking you to figure out how many cans of paint you can fill with 11 liters of paint. We can divide 11 by 2 to get the answer. 11÷2=5.5. The reason this works is because we are dividing the total amount of paint by how much each can will hold. 5.5 can also be written as "five and a half". So, the 11 liters of paint will fill 5.5 cans. Hope this helps!
What equation results from completing the square and then factoring?
x^2 - 10x = 46
A. (x - 10)^2 = 71
B. (x-10)^2 = 21
C. (x - 5)^2 = 21
D. (x - 5)^2 = 71
Answers
Answer:
D
Step-by-step explanation:
Provide an answer help me
Answers
Answer:
40.56 ft
Step-by-step explanation:
First, find the perimeter of the 3 sides of the rectangle
8 + 10 + 10 = 28
Then, find the perimeter of the half-circle by finding the circumference and dividing it by 2
C = [tex]\pi[/tex]d
C = 3.14(8)
C = 25.12
25.12/2 = 12.56
Add up the values
28 + 12.56 = 40.56
4.6 + (–5.9) is ?????
Answers
Answer:
-1.3
Step-by-step explanation:
you can ignore this + in this question. In mathematics we write it as
4.6 + -5.9
It says + a negative number, which is almost like saying "I am going outside with without my jacket..." And that means I go outside without it. The same goes here...
In mathematics the rule is (+ * - ) = -
4.6 - 5.9 = -1.3
EXTRA:
Whenever you are dealing with negative numbers, you can think of the numbers as if it is about temperatures...
Suppose you have a temperature of 4.6 degrees and then it gets colder with an "amount" of 5.9 degrees. This of course accounts for a negative temperature of 1.3 degrees... ( because 4.6 + 1.3 = 5.9)
So - 1.3
