All categories

3 years ago

1) What is the nth term of the sequence -1,3,7,11,...?

Mathematics

1 answer:

Sliva [168]3 years ago

4 0

Answer:

Use the formula Tn=a+(n-1)d

a= the first term in the sequence which is - 1

d=the difference between the terms which is 4

Tn= -1+(n-1)(4)

Tn=-1+4n-4

Tn=4n-5

You might be interested in

What pattern can be observed from the data?

marin [14]

I can’t see the diagram

5 0

3 years ago

Read 2 more answers

How to divide mixed numbers using reciprocal

Semenov [28]

You have to make the mixed number into a fraction in order to divide

6 0

3 years ago

Read 2 more answers

By using the remainder theorem, determine the remainder when

Greeley [361]

Answer:

-123

Step-by-step explanation:

The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.

When a polynomial P(x) is divided by x - c, the remainder is P(c). In other words, to find the remainder, plug in c for x.

You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.

3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123

3 0

3 years ago

Read 2 more answers

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.

oksian1 [2.3K]

Answer:

0.36 = 36% probability that the land has oil and the test predicts it

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

45% chance that the land has oil.

This means that $P(A) = 0.45$

He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.

This means that $P(B|A) = 0.8$

What is the probability that the land has oil and the test predicts it?

This is $P(A \cap B)$ . So

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$P(B \cap A) = P(B|A)*P(A) = 0.8*0.45 = 0.36$

0.36 = 36% probability that the land has oil and the test predicts it

5 0

3 years ago

The ratio 20:40:100 in its simplest form.

Gala2k [10]

Answer:

1 : 2 : 5

Step-by-step explanation:

20 : 40 : 100 ( divide each part of the ratio by 20 , the HCF of 20, 40, 100 )

= 1 : 2 : 5

6 0

2 years ago