Answer:
Different schedule Possible = 55,621,280
Step-by-step explanation:
Given - An English teacher needs to pick 9 books to put on his reading list for the next school year, and he needs to plan the order in which they should be read. He has narrowed down his choices to 13 novels, 17 plays, and 13 nonfiction books.
To find - If he wants to include an equal number of novels, plays, and nonfiction books, how many different reading schedules are possible ?
Formula used -
Number of combinations of n things taking r at a time : [tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{r! (n-r)!}[/tex]
Proof -
Given that, An English teacher needs to pick 9 books and wants to include equal number of novels, plays, and nonfiction books
i.e. he will Choose
3 books from Novels
3 books from Plays
3 books from Non-fiction books
Now,
Given that,
Total number of novel = 13
Total number of plays = 17
Total number of non-fiction books = 13
So,
Different schedule Possible = [tex]^{13}C_{3}* ^{17}C_{3}*^{13}C_{3}[/tex]
= [tex]\frac{13!}{3! (13-3)!}* \frac{17!}{3! (17-3)!}* \frac{13!}{3! (13-3)!}[/tex]
= [tex]\frac{13!}{3! (10)!}* \frac{17!}{3! (14)!}* \frac{13!}{3! (10)!}[/tex]
= [tex]\frac{13(12)(11)10!}{3! (10)!}* \frac{17(16)(15)14!}{3! (14)!}* \frac{13(12)(11)10!}{3! (10)!}[/tex]
= [tex]\frac{13(12)(11)}{3(2)(1)}* \frac{17(16)(15)}{3(2)(1)}* \frac{13(12)(11)}{3(2)(1)}[/tex]
= [tex]{13(2)(11)}*{17(8)(5)}* {13(2)(11)}[/tex]
= 55,621,280
⇒Different schedule Possible = 55,621,280
Find the total surface area of this figure.
Answer:
83 total surface area
Step-by-step explanation:
Classify the pair of angles. Then find the value of x
Answer:
63
Explanation:
180 - 117 = 63
PLS PLS PLS HELP ME: brainly.com/question/23330137
Answer:
x = 63°
Step-by-step explanation:
180 - 117 = 63
Which graph best represents a quadratic function that has only one zero?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
i NEED HELP PLEASE HELP ME
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The vertex is the extreme point of the curve. It lies on the vertical line that is the axis of symmetry.
The x-intercepts are where the graph crosses the x-axis. (They are symmetrically located about the axis of symmetry.)
The y-intercept is where the graph crosses the y-axis.
A professor wants to determine the best way to present an important topic to his class. He has the following three choices: he can lecture, he can lecture plus assign supplementary reading, or he can show a film and assign supplementary reading. He decides to do an experiment to evaluate the three options. He solicits 15 volunteers from his class and randomly assigns 5 students to each of the three conditions. The students were subsequently tested on the material. The following scores (percentage correct on the test) were obtained:
LECTURE Lecture + Reading Film + Reading
92 86 81
86 93 80
87 97 72
76 81 82
80 94 83
Answer:
lecture plus assign supplementary reading
Step-by-step explanation:
So I think how you do it is to find the mean of each. The middle one has the highest mean. Also, it has 3 As and 2 Bs, the first one only has one A and the last one does not have an A.
no links just help pls i give brainly-est just help me TwT
Answer:
7 x 4 x 8 = 224 in3
8 x 5 x 6 = 240 in3 B has the largest area
6 x 4 x 6 = 144 ft3 is your volume
5 x 4 x 5 = 100
4 x 5 x 2 = 40
100 + 40 = 140 in3 is your combined area
6 x 2 x 3 = 36
4 x _ x _ = 36
Possible answer:
4 x 3 x 3 = 36
This is the floor plan of jack's toy room. Jack needs to determine the area of the floor so he can order new flooring. Enter the area, in square feet, of Jack's toy room floor.
Answer:
205.75
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 11.5*8=92
rec 2: (12.5-5)*(18.5-8-7)=26.25
rec 3:7*12.5=87.5
Then:
92+26.25+87.5=205.75
Find the volume of the sphere.
r= 4 cm
Formulas for Spheres
S.A. = 4tr2
V = fnr V = [?] cm3
Round to the nearest tenth.
Enter
Answer:
268.2 cm³
Step-by-step explanation:
Volume of sphere= 4/3 π r³
→ [tex]4/3*22/7*4*4*4[/tex]
→ [tex]256*22/21[/tex]
→ [tex]5632/21=[/tex]
→ [tex]268.19 cm^3[/tex]
→ [tex]268.2 cm^3[/tex]
[tex]------------[/tex]
hope it helps...
have a great day!!
Answer:
268.2 cm³ is your answer
The length of a rectangle is 7 inches more than twice the width. The
perimeter is 68 inches. Find the length and the width.
Equation?
Answer:
Length: 25
Width: 9
Step-by-step explanation:
been working on this for too long. thank u :)
Answer:
Im not a 100% sure but my best guess would be the 3rd equation:
f(x) = (x - 1) (x + 3)
Please let me know if I was wrong, but i hope this helped you!
Hello help me out thank you !
Answer:
1130.4
Step-by-step explanation:
The volume of a cylinder is πr^2h, where r is the radius and h is the height.
We are given the height, 10m.
The diameter is 2m more than the height, so 2+10=12m.
The radius is half the diameter, so 12m/2=6m.
Use r=6 and h=10 in the formula to get the volume
π6^2*10≈1130.4
Answer this question please!
Answer:
Step-by-step explanation:
solve for x
x plus 15 = 60
Answer:
x = 45Step-by-step explanation:
x + 15 = 60
=> x = 60 - 15
=> x = 45 (Ans)
Answer:
45
Step-by-step explanation:
x + 15 = 60
-15. -15
___. ____
x. = 45
Help with this please
Answer:
1 isolate the variable you isolate the variable when you divide 2 inequality is when you compare 2 numbers 3 distributive property when multiplying you use the distributive property
Step-by-step explanation:
Fine the area of the shape below PLSSS HELP
Answer:
58 yds (squared yards) 6 × 7 = 42, 4 × 4 = 16; 42 + 16 = 58
hope this helps!
Answer:
see how to calculate of this question
I need help on this, find the value of x
Answer:
x=35
obtuse scalene triangle
Step-by-step explanation:
All angles in a triangle add up to 180°.
[tex]3x-5+x+10+x=180[/tex]
[tex]5x+5=180[/tex]
[tex]5x=175[/tex]
[tex]x=35[/tex]
So, x=35.
When we plug in x to each angle, we see that the 3x-5 angle is above 90°, and all of the angles are different. So, this is an obtuse scalene triangle.
Which term describes sq
Answer:
angle bisector
Step-by-step explanation:
In the picture shown in the question, the line segment SQ would be considered the angle bisector. This is because it is dividing the interior angles' opposite side into two line segments. Hence the line segments PQ and QR. The angle bisector divides the opposite side into line segments that are proportional to the other two sides of the triangle which in this case can be seen by the top left indication in the picture stating that PQ and QR are the same.
PLEASE HELP!! 30 POINTS
Answer:
subject?
Step-by-step explanation:
Answer:
The C, the third one!
Step-by-step explanation:
Determine the volume of the toilet paper roll excluding the empty middle
Answer:
150.72
Step-by-step explanation:
3² × 3.14 × 6 - 1² × 3.14 × 6 = (3² - 1²) × 3.14 × 6 = 150.72
PLS HELP, WHOEVER HELPS GETS BRAINLIEST
The Tyler Municipal Garden and Center in Tyler, Texas, is the nation's largest rose garden. It contains 38,000 rose bushes representing 500 varieties of roses set in a 14-acre park. Write and solve proportion that could be used to find the average number of rose bushes per acre.
Answer:
3,800x(14)
Step-by-step explanation:
what is the vaule of the expression below 3⁴+9
Answer:
,3⁴+981+990hope it helps.
stay safe healthy and happy.
Answer:
90
Step-by-step explanation:
[tex] {3}^{4} + 9[/tex]
[tex](3 \times 3 \times 3 \times 3) + 9[/tex]
[tex]81 + 9[/tex]
[tex]90[/tex]
Hope it is helpful....I really need help with this probability question and it would mean a lot if someone could help me! :)
Please answer 23 and 24 for me pls pls pls
Which are equal to 53?
125
15
35
5⋅5⋅5
Answer:
none are
Step-by-step explanation:
Answer :
None of them actually
PLEASE HELP ME PLEASE
mean mode median not hard !
Answer:
1. 50
2. 10
3. 75%
Step-by-step explanation:
What is the slope of the graph of y=12x−19?
Answer:
The slope is 12
Step-by-step explanation:
This means that 12 is the slope of the line y = 12x - 19.
I hope this helps! :)
4x-5y=-45
in slope intercept form
Answer:
y=4/5x+9
Step-by-step explanation:
-5y=-4x-45
y=4/5x+9
consider the following polynomial expression
Step-by-step explanation:
a.13x8+4x5-16x2
b.8
c.3
d.13x8
e.16
They are required answer but,may be wrong.
hope it helps u and keep smiling ;)
Landon scored an 85% on his test. If he got 34 problems correct, how many were on the test?
Answer:
There are 40 problems on the test
Step-by-step explanation:
Let p = the number of problems on the test
The number of problems on the test times the percent correct is the number correct
p * 85% = 34
p * .85 = 34
Divide each side by .85
p * .85/.85 = 34/.85
p = 40
There are 40 problems on the test
The temperature in Mrs. Cagle's room was -14°F yesterday, but it rose 8°F today. What is the
new temperature today?