All categories

4 years ago

Solving algebraic equations: 5n+1 What do I do to solve this?

Mathematics

1 answer:

emmainna [20.7K]4 years ago

3 0

Explanation:

The given expression is not an equation. There is nothing that can be solved.

___

An equation has an equal sign between its left side and its right side. Solving it means finding a value for the variable (or variables) such that the equation is true.

For example, we might have ...

5n +1 = 1

Your familiarity with math facts means you know that ...

0 +1 = 1

In order for the term 5n to have a value of 0, the value of n must be 0 in this equation. The solution to 5n+1 = 1 is n = 0, because 5×0 + 1 = 1 is a true statement.

___

An expression can be evaluated. To do that, put the value you want the variable to be every place you see the variable, then do the arithmetic.

To evaluate 5n+1 for n=6 we put 6 in place of n:

5×6 +1

Doing the arithmetic, we get ...

= 30 +1 = 31

The value of 5n+1 for n=6 is 31.

You might be interested in

Past records indicate that the probability of online retail orders

Tcecarenko [31]

Answer:

a) Mean = 1.6, standard deviation = 1.21

b) 18.87% probability that zero online retail orders will turn out to be fraudulent.

c) 32.82% probability that one online retail order will turn out to be fraudulent.

d) 48.31% probability that two or more online retail orders will turn out to be fraudulent.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The mean of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$p = 0.08, n = 20$

a. What are the mean and standard deviation of the number of online retail orders that turn out to be fraudulent?

Mean

$E(X) = np = 20*0.08 = 1.6$

Standard deviation

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.08*0.92} = 1.21$

b. What is the probability that zero online retail orders will turn out to be fraudulent?

This is P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{20,0}.(0.08)^{0}.(0.92)^{20} = 0.1887$

18.87% probability that zero online retail orders will turn out to be fraudulent.

c. What is the probability that one online retail order will turn out to be fraudulent?

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{20,1}.(0.08)^{1}.(0.92)^{19} = 0.3282$

32.82% probability that one online retail order will turn out to be fraudulent.

d. What is the probability that two or more online retail orders will turn out to be fraudulent?

Either one or less is fraudulent, or two or more are. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 1) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

From itens b and c

$P(X \leq 1) = 0.1887 + 0.3282 = 0.5169$

$P(X \geq 2) = 1 - P(X \leq 1) = 1 - 0.5169 = 0.4831$

48.31% probability that two or more online retail orders will turn out to be fraudulent.

4 0

4 years ago

What are roots of quadratic equations?

Tpy6a [65]

Answer:

Here's a link that I found that was helpful to me: http://www.biology.arizona.edu/biomath/tutorials/quadratic/roots.html#:~:text=Roots%20are%20also%20called%20x%2Dintercepts%20or%20zeros.&text=The%20roots%20of%20a%20function,%2B%20bx%20%2B%20c%20%3D%200.

Step-by-step explanation:

4 0

3 years ago

Katherine wants to construct a small box with a volume of 20 cubic inches with the following specifications. The length of a box

pochemuha

V=LWH=20

L is 5 more than W
V=5+W

H is 1 less than W
H=-1+W

easy, sub 5+W for L and -1+W for H in LWH=V=20

20=(5+W)(W)(-1+W)
expand
20=W^3+4W^2-5W
minus 20 both sides
W^3+4W^2-5W-20=0
either factor or graph to find the possible values for W
(W+4)(W^2-5)=0
set each to zero

W+4=0
W=-4
impossible, measures cannot be negative
W^2-5=0
add 5
W^2=5
sqrt both sides
W=√5

sub back

L=5+W
L=5+√5
aprox
7.24 rounded

H=-1+W
H=-1+√5
aprox
1.24 rounded
the dimentions are
√5 by (5+√5) by (-1+√5) or aprox
2.24in by 7.24in by 1.24in

5 0

3 years ago

Read 2 more answers

In Kite KLMN, find the measure of

Degger [83]

Answer:

M = K =

Step-by-step explanation:

M = K, because it's a kite.

Kite has 2 angles on the left and right, each with the same size,
The kite also has different angles at the other angle points.

(Addition of kite angles result in 360°)

Therefore

360 = 63 + 95 + 2M

2M = 360-63-95

2M = 202

M = 202÷2

M = K = 101°

The size of each angle M and angle K = 101 degrees.

____________________

#IndonesianPride - kexcvi

#MerdekaMerdeka

3 0

3 years ago

Let p: x < −3 Let q: x > 3 What is represented by p ∨ q?

anastassius [24]

Answer:

p v q = x < -3 or x > 3

Step-by-step explanation:

We are given

p: x < -3

q: x > 3

and we need to find p v q

v symbols represents disjunction and in simple terms it is called "or"

So, p v q represents either p holds or q holds

So, p v q = x < -3 or x > 3

8 0

3 years ago

Read 2 more answers