The mean would be np, which here would be (6)(0.36) = 2.16.
Cubic Function Form:
y=![ax^{3} +bx^{2} +cx+d](https://tex.z-dn.net/?f=%20ax%5E%7B3%7D%20%2Bbx%5E%7B2%7D%20%2Bcx%2Bd%20)
However here we only need ax^3 and +d
ax^3 makes the graph wider or skinnier or reflects it if negative.
So the first coefficient will be negative since we want to reflect it along the x axis
To move left three we will have to add 3 to the ax^3 giving us something like (x+3)^3
To move up 5 we set our y intercept (the +d part) to d=5.
Combing everything together gives us (x+3)^3+5
Answer:
a) Kylie has 8 marbles
b) 7 Cylinders
c) 17 carrots
d) 8 marbles belong to Shauntay
Step-by-step explanation:
5. Identify the type and subtype of each of the fol-
lowing problems.
a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?
Shawn = 15 marbles
S = K + 7
15 = K + 7
K = 15 - 7
K = 8 marbles
Kylie has 8 marbles
b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?
T = 12 blocks
Cubes = 5
Cylinders = the rest
12 blocks = Cubes + Cylinders
Cylinders = 12 - Cubes
Cylinders = 12 - 5
Cylinder = 7
c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?
Number of carrots Peter has before
= Number of carrots he ate + Number of carrots he has now
= 14 + 3
= 17 carrots
d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?
Total number of Marbles = 17
Kelly = 9 marbles
Shauntay = ?
Total = Kelly + Shauntay
Shauntay = Total - Kelly's marbles
= ( 17 - 9) marbles
= 8 marbles
8 marbles belong to Shauntay
Answer:
348 miles
Step-by-step explanation:
24 multiplied by 14.5 equals 348
Answer:
There are 1,039,584 ways in which this can be done.
Step-by-step explanation:
Total number of black marbles = 17
Total number of blue marbles = 9
The number black marbles to be chosen = 6
The number blue marbles to be chosen = 3
So, we have to choose 6 black from 17 black marbles.
and to choose 3 blue from 9 blue marbles.
So, the number if possible ways to do it : ![^{17} \textrm{C}_ {6} \times ^{9} \textrm{C}_ {3}](https://tex.z-dn.net/?f=%5E%7B17%7D%20%20%5Ctextrm%7BC%7D_%20%7B6%7D%20%20%5Ctimes%20%5E%7B9%7D%20%20%5Ctextrm%7BC%7D_%20%7B3%7D)
![^{n} \textrm{C}_ {r} = \frac{n! }{r! (n-r)!}](https://tex.z-dn.net/?f=%5E%7Bn%7D%20%20%5Ctextrm%7BC%7D_%20%7Br%7D%20%20%3D%20%5Cfrac%7Bn%21%20%7D%7Br%21%20%28n-r%29%21%7D)
Now, solving
, we get:
![^{17} \textrm{C}_ {6} = \frac{17!}{6! \times 11!} \\= \frac{17 \times 16 \times 15 \times 14\times 13\times 12 \times 11! }{11! \times (6\times 5 \times 4 \times 3\times 2)} = 12,376](https://tex.z-dn.net/?f=%5E%7B17%7D%20%20%5Ctextrm%7BC%7D_%20%7B6%7D%20%20%3D%20%5Cfrac%7B17%21%7D%7B6%21%20%5Ctimes%2011%21%7D%20%20%5C%5C%3D%20%5Cfrac%7B17%20%5Ctimes%2016%20%5Ctimes%2015%20%5Ctimes%2014%5Ctimes%2013%5Ctimes%2012%20%5Ctimes%2011%21%20%7D%7B11%21%20%5Ctimes%20%286%5Ctimes%205%20%5Ctimes%204%20%5Ctimes%203%5Ctimes%202%29%7D%20%20%20%3D%2012%2C376)
solving
, we get:
![^{9}\textrm{C}_{3} = \frac{9!}{6! \times 3!}\\= \frac{9 \times 8 \times 7 \times 6! }{6!\times (3\times 2 )} = 84](https://tex.z-dn.net/?f=%5E%7B9%7D%5Ctextrm%7BC%7D_%7B3%7D%20%20%3D%20%5Cfrac%7B9%21%7D%7B6%21%20%5Ctimes%203%21%7D%5C%5C%3D%20%5Cfrac%7B9%20%5Ctimes%208%20%5Ctimes%207%20%20%5Ctimes%206%21%20%7D%7B6%21%5Ctimes%20%283%5Ctimes%202%20%29%7D%20%3D%2084)
![\implies^{17}\textrm{C}_ {6}\times ^{9} \textrm{C}_ {3}=12,376 \times 84 = 1,039,584](https://tex.z-dn.net/?f=%5Cimplies%5E%7B17%7D%5Ctextrm%7BC%7D_%20%7B6%7D%5Ctimes%20%5E%7B9%7D%20%20%5Ctextrm%7BC%7D_%20%7B3%7D%3D12%2C376%20%5Ctimes%2084%20%3D%201%2C039%2C584)
Hence, there are 1,039,584 ways in which this can be done.