All categories

3 years ago

88th term of the sequence 4,-1,-6

Mathematics

1 answer:

MArishka [77]3 years ago

4 0

Answer:

-431

Step-by-step explanation:

4-5=-1 -1-5= -6 common difference is -5 and start at 4 to get 88th term which is -431

You might be interested in

PLEASE HELP 100 POINTS write an equation of the horizontal line that passes through (-7,-10)

Vedmedyk [2.9K]

Answer:

y + 10 = 0

Step-by-step explanation:

Slope of horizontal line is zero (0)

m = 0

By point slope form of a line.

$y-y_1 =m(x - x_1) \\ \\ y - ( - 10) = 0 \{x - ( - 7) \} \\ \\ y + 10 = 0 \{x + 7\} \\ \\y + 10 = 0 \\ \\$

5 0

2 years ago

Read 2 more answers

What is the formula for the expected number of successes in a binomial experiment with n trials and probability of success p? C

charle [14.2K]

Answer:

$(D)E[ X ] =np.$

Step-by-step explanation:

Given a binomial experiment with n trials and probability of success p,

$f(x)=\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}, 0\leq x\leq n$

$E(X)=\sum_{x=0}^{n}xf(x)= \sum_{x=0}^{n}x\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}$

Since each term of the summation is multiplied by x, the value of the term corresponding to x = 0 will be 0. Therefore the expected value becomes:

$E(X)=\sum_{x=1}^{n}x\left(\begin{array}{c}n\\x\end{array}\right)p^x(1-p)^{n-x}$

Now,

$x\left(\begin{array}{c}n\\x\end{array}\right)= \frac{xn!}{x!(n-x)!}=\frac{n!}{(x-)!(n-x)!}=\frac{n(n-1)!}{(x-1)!((n-1)-(x-1))!}=n\left(\begin{array}{c}n-1\\x-1\end{array}\right)$

Substituting,

$E(X)=\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^x(1-p)^{n-x}$

Factoring out the n and one p from the above expression:

$E(X)=np\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^{x-1}(1-p)^{(n-1)-(x-1)}$

Representing k=x-1 in the above gives us:

$E(X)=np\sum_{k=0}^{n}n\left(\begin{array}{c}n-1\\k\end{array}\right)p^{k}(1-p)^{(n-1)-k}$

This can then be written by the Binomial Formula as:

$E[ X ] = (np) (p +(1 - p))^{n -1 }= np.$

5 0

3 years ago

What is the answer to this ? PLEASE HELP I HAVE 3 minutes

inn [45]

Answer:

(2, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x

x = -y + 6

Step 2: Solve for y

Substitution

Substitute in x: y = 2(-y + 6)
Distribute 2: y = -2y + 12
Isolate y terms: 3y = 12
Isolate y: y = 4

Step 3: Solve for x

Define equation: x = -y + 6
Substitute in y: x = -4 + 6
Add: x = 2

3 0

3 years ago

The LCM and the GCF of two numbers is 120 and 8 respectively. If the first number is 24, find the other number

Ivanshal [37]

Answer: The other no. is 5

Step-by-step explanation: Let the other no. be x

x = LCM/First no.

x = 120/24 = 5

The other no. is 5

7 0

3 years ago

Given the points A (-4,-2) and B (4, 10), find the

mafiozo [28]

Answer:

P = (2, 7)

Step-by-step explanation:

You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.

<h3>Equation for P</h3>

For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...

P = A +q(B -A) = (1 -q)A +qB

<h3>Application</h3>

For q = 3/4, the location of P is ...

P = (1 -3/4)A + 3/4B = (A +3B)/4

Using the given point coordinates, we have ...

P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4

P = (2, 7)

8 0

1 year ago