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3 years ago

Identify the common difference of the sequence: –8, –1, 6, 13

Mathematics

2 answers:

LenaWriter [7]3 years ago

8 0

Answer:

Socratic app

Step-by-step explanation:

it will help you

allochka39001 [22]3 years ago

7 0

Answer

Step-by-step explanation: They are skipping -7, 5, -7

You might be interested in

What is the next term to this sequence 1,5,13,25,41?

grandymaker [24]

The next term is 61.

8 0

3 years ago

In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha

mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

4 0

3 years ago

Jimmy set his score for his math test. After the math teacher returnee his paper to him, he realized that if he increased his ta

mixer [17]

When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89

8 0

3 years ago

Consider the equation 5/3v + 4 + 1/3v = 8. What is the resulting equation after the first step in the solution?

BigorU [14]

You would combing like terms. In this case, it is 5/3v and 1/3v. So you would add them together to get 6/3v,or just 2 because 6 divided by 3 is 2. So now you have 2v+4=8.

8 0

4 years ago

Read 2 more answers

What is the range of the function f(x)=3x−1f(x)=3x-1 when the domain is {-1, 0, 1}?

Triss [41]

<span>f(x)=3x−1

</span><span>domain is {-1, 0, 1}

3(-1) -1 = -4
3(0) - 1 = -1
3(1) - 1 = 2

Range { -4, -1, 2}</span>

4 0

3 years ago