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nlexa [21]
3 years ago
6

A sequence is defined by the function F(n) = F(n -1) +5, where n represents the number of the term for n >1, and f(1) = -4. W

hat are the first four terms of the sequence?
1, 6, 11, 15
-4, 0, -1, -2
0, -1, -2, -3
-4, 1, 6, 11
Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0

Answer:

4th option

Step-by-step explanation:

Using the recursive rule and f(1) = - 4 , then

f(2) = f(1) + 5 = - 4 + 5 = 1

f(3) = f(2) + 5 = 1 + 5 = 6

f(4) = f(3) + 5 = 6 + 5 = 11

The first 4 terms are - 4, 1, 6, 11

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3(4x+1)=15? X=<br> What is the solution?
tensa zangetsu [6.8K]

Answer:

x=1

Step-by-step explanation:

3(4x+1)=15

12x+3=15

12x=15-3

12x=12

x=12/12

x=1

3 0
3 years ago
Calculate mean: 18, 24, 17, 21, 24, 16, 29, 18
aksik [14]

Answer:

20.875

Step-by-step explanation:

18+24+17+21+24+16+29+18=167/8=20.875

5 0
3 years ago
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A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled
n200080 [17]

Answer:

24000 pieces.      

Step-by-step explanation:

Given:

Side lengths of cube = \frac{1}{4} \ foot

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

Volume\ of\ cube =a^{3}

                          =\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot

                                   

Length = 8 foot, Breadth = 6\frac{1}{4} =\frac{25}{4} \ foot, Height =7\frac{1}{2} =\frac{15}{2} \ foot

Volume\ of\ rectangular\ prism =length\times breadth\times height

                                                =8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = \frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.                                

7 0
3 years ago
The random variable X~(30,2^2) <br> Find p(X&lt;33) <br> Find p(X&gt;26)
Ostrovityanka [42]

Answer:

i) P(X<33)  = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

<u>Step(ii):-</u>

i)

Given that the random variable  X = 33

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-30}{2} = 1.5 >0

P(X<33) = P( Z<1.5)

              = 1- P(Z>1.5)

             = 1 - ( 0.5 - A(1.5))

             = 0.5 + 0.4232

  P(X<33)  = 0.9232

<u>Step(iii) :-</u>

Given that the random variable  X = 26

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-26}{2} = 3.5 >0

P(X>26)  = P( Z>3.5)

              = 0.5 - A(3.5)

              = 0.5 - 0.4990

             = 0.001

P(X>26) = 0.001

5 0
3 years ago
Helppppppppppppppppppppppppppppppppp
yulyashka [42]
2x÷y
=2(2)÷(-4)
=4÷(-4)
=-1
7 0
3 years ago
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