Mr. Jones got four seats on the school's trip to Grand
Canyon for his students. In how many different ways Mr.
Jones can select a group of four from his class of 36?
Answers
Answer:
D. 58,905
Step-by-step explanation:
Number of seats available for Mr. Jones had for the trip = 4
Number of students in his class = 36
Number of ways he can select a group of 4 out of 36 students from his class is calculated as follows:
[tex] C \binom{36}{4} = \frac{36!}{(36 - 4)! * 4!)} [/tex]
[tex] = \frac{36!}{(32! * 4!)} = 58,905 [/tex]
Related Questions
Find all angles between 0 and 2pi satisfying the condition cosx=-1/2
Answers
You can find the angles using the unit circle. You can also find the angle using algebra.
I want to show you the algebra way.
Since cos(x) = cos(2•pi - x), this leads to two equations.
The two equations are as follows:
cos (x) = -1/2...the given problem.
We also have cos (2•pi - x) = -1/2.
To isolate x for both trigonometric equations, use the inverse trig function idea.
Equation 1
arccos(cos x) = arccos (-1/2)
x = 2•pi/3
Equation 2
arccos(cos (2•pi - x)) = arccos (-1/2).
Note: 2•pi - x = 2•pi/3. We are not done with this equation. We must isolate x. In other words, like any other equation, solving for x is needed.
When we subtract 2•pi from both sides, the answer for x in the second equation is 4•pi/3.
As you know, 2•pi/3 and 4•pi/3 lie between 0 and 2•pi on the unit circle.
Answer: 2•pi/3, 4•pi/3
If I have a black lab, then I have a dog. What is this statement called: if I do not have a dog then I do not have a black lab. HELP PLEASE
A) inverse
B) converse
C) conditional
D) contrapositive
Answers
Answer:
contrapositive
Step-by-step explanation:
Can you guys help me quick please Becuase it’s due today please answer all my question that I posted
Answers
Answer:
y = x + 3
Step-by-step explanation:
1 + 3 = 4
2 + 3 = 5
3 + 3 = 6
And so on
Explain in words the equation 42÷6=
Answers
Answer:
The quotient of forty-two and six is seven.
Please answer fast !!!!!!
Look at the picture
Answers
Answer:
< EAC = 31 (small angle of blue triangle)
< BCA = 31 (small angle of green triangle)
< ABC = 104 (big angle of green triangle)
< BDC = 45 (yellow triangle)
< BDF = 135 (outside yellow triangle)
< AEG = 76 (outside blue triangle)
Katie completes 2/3 of her craft project in 3/4 of an hour at this rate what fraction of the craft project does Katie complete in one hour give your answer in fraction form
Answers
Answer:
2/3 in 3/4 of an hour. that would mean u an extra 1/4 of an hour would give Katie the time to finish up the project
Step-by-step explanation:
Katie, take no breaks when u can get this done in an hour. don't be lazy
Solve the equation . Show your work
Answers
Answer:
x = -1
Step-by-step explanation:
First you multiply by crossover and you get 3(5-x)=18
Then divide the two wings and you'll get 5-x=6
Then you need to separate the x from the numbers
so you move 5 to the right side and you get -x=6-5
Then you calculate it and you get -x=1
and x= -1
hope it helped <3
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
Given the equation
[tex]\frac{5-x}{9}=\frac{2}{3}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}9[/tex]
[tex]\frac{9\left(5-x\right)}{9}=\frac{2\cdot \:9}{3}[/tex]
[tex]5-x=6[/tex]
[tex]\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}[/tex]
[tex]5-x-5=6-5[/tex]
[tex]-x=1[/tex]
[tex]x=-1[/tex]
factor 2x^2-9x+9=0 and please show ur steps
Answers
Answer:
♡ hi there, madi here! ♡
hope your having a great day.
I did the math so here's your answer.
2x−3)(x−3)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x-3=0. x-3=0
Set the first factor equal to 0 and solve.
x=3/2
Set the next factor equal to 0 and solve.
x=3
Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
for the first select option:
-MJ or ML or MK or KL
for the second select option:
-congruent or not congruent
for the third select option:
-include or do not include
for the fourth select option:
-congruent or not congruent
giving brainliest !
Answers
Answer:
1.) ML
2.) congruent
3.) include
4.) congruent
find the smallest number by which the number108 must be multiplied to obtain a perfect cube
Answers
Answer:
2
Step-by-step explanation:
108*2
=216
216
=6^3
PLS GIVE BRAINLIEST
plz, help I need for my work.
Answers
Answer:
a
Step-by-step explanation:
Jack is two years older than bob. If bob is x years old, what is the sum of jacks age and bobs age
Answers
Expression 2(x+1) represents the sum of bob and Jacks age.
What is Expression?An expression is combination of variables, numbers and operators.
Given,
Bob is x years old,
Jack is two years older than bob=x+2
we need to find the sum of jacks age and bobs age
x plus x plus two
x+x+2
Two times of x plus two
2x+2
Take two as common, two times of x plus one
2(x+1)
Hence expression 2(x+1) represents the sum of bob and Jacks age.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
the sum of (n + 8) + (n − 12)
Answers
Answer:
n+8+n-12=
simplyfiy=2n+20
Step-by-step explanation:
Ya'll just have to simplify the expression and add the like terms together. hope I helped
Scenarios can be translated into
Answers
Answer:
can you please describe it more
Step-by-step explanation:
Question 17
(01.07 LC)
What is the product of 2.4 ⋅ 103 and 1.5 ⋅ 103? (1 point)
Question 17 options:
1)
3.6 ⋅ 106
2)
3.9 ⋅ 106
3)
3.6 ⋅ 109
4)
3.9 ⋅ 109
Answers
Answer:
3)
3.6 • 109
Step-by-step explanation:
i think lang naman bat kaylangan ng explanation charr!!
Find the difference between 3 1/12 and 2 1/6. Leave your answer as a proper fraction or mixed number.
Answers
Answer:
[tex]\frac{8}{6}=1\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{2}-2\frac{1}{6}[/tex] Fractions cannot be added or subtracted unless they have the same denominator (bottom number)
[tex]\frac{7}{2}-\frac{13}{6}[/tex] Change to an improper fraction. Multiply the denominator times the whole number (number on the side) then add to the numerator (top number) and place over the the denominator (3*2+1=7→[tex]\frac{7}{2}[/tex])
[tex](\frac{7}{2}*\frac{3}{3})[/tex] - [tex]\frac{13}{6}[/tex] In order to give both fractions the same denominator, find the least common denominator (LCD = one number that both denominators will divide evenly into) LCD = 6. Then multiply the top and bottom by a number that gives the LCD. We only need to multiply the first fraction top and bottom by 3.
[tex]\frac{21}{6} - \frac{13}{6} = \frac{8}{6}[/tex] This is an improper fraction because the numerator is larger than the denominator. To make a mixed number divide the numerator by the denominator and simplify.
[tex]\frac{8}{6} = 1\frac{2}{6} = 1\frac{1}{3}[/tex] [tex](\frac{2}{6} \frac{divided by}{divided by}\frac{2}{2} = \frac{1}{3})[/tex]
the slope of line is -1/3. what is an equation of a line that is perpendicular to line of t
Answers
Answer:
well you have to use y=mx and plugg your numbers in
Step-by-step explanation:
sorry its not much help
Verbal description of a rotation requires: Click all that apply.
-Center Point
-Horizontal Movement
-Vertical Movement
-Degree of Rotation
-Scale Factor
-Direction of Rotation
Answers
Answer:
A
C
D
Step-by-step explanation:
I copied some smart kid
What number is 0.001 more than 3.9?
Answers
Answer:
3.901
Step-by-step explanation:
Add 0.001 to 3.9.
Answer:
3.901
Step-by-step explanation:
Plzzzzz help asappppppp
Answers
The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines. Hence, it is proved. Alternate interior angles can be calculated by using properties of the parallel lines.
What is the answer to this geometry answer?
Answers
hey. help pls and thank you
Answers
(0, -8) and (2, -2)
To find slope use this equation:
(Y2 - Y1)/(X2 + X1)
Input the points into the equation:
(-2 - (-8))/(2 - 0) —> (-2 + 8)/(2 - 0)
You find that it becomes:
6/2
Then simplify it:
3/1
So the answer is A
What is the range of the function represented by the table?
A 2-column table with 5 rows. Column 1 is labeled x with entries 2, 4, 6, 8, 10. Column 2 is labeled y with entries 2.5, 5.0, 7.5, 10.0, 12.5.
{2, 4, 6, 8, 10}
{2.5, 5.0, 7.5, 10.0, 12.5}
{2, 2.5, 4, 5.0, 6, 7.5, 8, 10, 12.5}
{0.0, 0.5}
Answers
Answer:
{2.3, 5.0, 7.5, 10.0, 12.5} Option b
Step-by-step explanation:
Domain is the input values and the range is the output values. The y values.
Answer:
b
Step-by-step explanation:
es is in order from greatest
2. Which numbers from the list are less than
0.827
- 1.0.15, -1.47. -13.-0.83
2
1
2.
2
F. -, --147, and -0.83
G. -13, -1.47. and -0.83
H. 015, -, and -0.83
0.15, and -1.47
le at the grocery store
Five Omnitie
Answers
Answer:
G
Step-by-step explanation:
-1 3/5 < -1.47 < -0.83 < -4/5 < 0.15
Division expression
Answers
Explanation:
4*3+1=13
13/3 divided by -5/6
Coordinates of Z if Y is the midpoint of XZ, X(10,9) and Y(-4,8)
Answers
Answer:
[tex]Z(x,y) = (-18,7)[/tex]
Step-by-step explanation:
Given
[tex]X = (10,9)[/tex]
[tex]Y = (-4,8)[/tex]
Required
Determine the coordinates of Z
From the question, we understand that Y is the midpoint
And the midpoint is calculated as:
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
In this case:
[tex]Y(x,y) = (-4,8)[/tex]
[tex]X(x_1,y_1) = (10,9)[/tex]
[tex]Z = (x_2,y_2)[/tex]
So: This gives
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
[tex](-4,8) = (\frac{10+x_2}{2},\frac{9+y_2}{2})[/tex]
Multiply through by 2
[tex](-8,16) = (10 + x_2,9+y_2)[/tex]
By comparison:
[tex]-8 = 10 + x_2[/tex] and [tex]16 = 9 + y_2[/tex]
Solving for x2
[tex]-8 = 10 + x_2[/tex]
[tex]-8 - 10 = x_2[/tex]
[tex]-18 = x_2[/tex]
[tex]x_2 = -18[/tex]
Solving for y2
[tex]16 = 9 + y_2[/tex]
[tex]16 - 9 = y_2[/tex]
[tex]7 = y_2[/tex]
[tex]y_2 = 7[/tex]
Hence, the coordinates of Z is:
[tex]Z(x,y) = (-18,7)[/tex]
A video store charges $3 per movie, and the fourth movie is free. How much do you actually pay per movie?
Answers
Answer:
$2.25 per movie
Step-by-step explanation:
3(4)= $12
$12-$3= $9
$9/4= $2.25
A researcher developing scanners to search for hidden weapons at airports has failed to conclude that a new scanner is significantly better than the current scanner. He made his decision based on a test using α=0.025.
a. Would he have made the same decision at α=0.20?
b. How about α=0.005? Explain.
Answers
Answer:
a. not sure
b. yes
Step-by-step explanation:
According to the given scenario, the following information is mentioned
[tex]\alpha[/tex] =0.025
In the case when the alpha is equivalent to 0.025 so the p test value would be more than the significance level i.e. 0.025 as the prescribed test is not important
So here
p>0.025
In the above case i.e. p>0.025 this does not mean that p>0.2 so we are not sure about this case whether he made teh same decision or not
Now in the another case, if the significant level is 0.005 so we are sure that p>0.005 as it is more than 0.025 so here also the test is not significant
So, here the same decision could be made
15. Find all polar coordinates of point P where P= (1, -pi/6). (5 points)
Answers
Answer:
Step-by-step explanation:
20 people fit comfortably in a 9 feet by 10 feet area. Use this value to estimate the size of a crowd that is 7 feet deep on BOTH sides of the street along 1,500 inches of a parade route. Please show work c: Merci!
Answers
Answer:
389 people
Step-by-step explanation:
Step 1
we convert 1500 inches to feet
1 inch = 0.0833 feet
1500 inches = x feet
x = 1500 × 0.0833
x = 125 feet
Step 2
We create a proportion
Since it is on both sides
20/9ft × 10ft = x/7 feet × 125 feet × 2
20/90 = x/1750
Cross Multiply
90 × x = 20 × 1750
x = 20 × 1750/90
x = 35000/90
x = 388.88888889
approximately = 389 people