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3 years ago

What is the common ratio of the geometric sequence shown below -2,4,-8,16

Mathematics

1 answer:

slava [35]3 years ago

6 0

The common ratio would be -2 since you multiply each number by -2 to get the next number in the sequence

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1,100,000,000,000,000,000,000,608 in scientific notation

aliya0001 [1]

Answer:

1.1x10^24

Step-by-step explanation:

7 0

3 years ago

What is the answer to 2×1/6=

Gennadij [26K]

$2\times\frac{1}{6}=\frac{2}{6}=\frac{2\times1}{2\times3}=\frac{1}{3}$

8 0

3 years ago

Read 2 more answers

How can I find c in a=3 b=4

Dahasolnce [82]

A^2+b^2= c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
5=c

8 0

3 years ago

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.

ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

$q=1-p=1-0.25=0.75$

Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

6 0

3 years ago

The variable z is inversely proportional to x. When x is 16, z has the value 0.875. What is the value of z when x= 21?

ziro4ka [17]

For $z$ and $x$ to be inversely proportional, there must be some constant $k$ such that

$zx=k$

Given that $z=0.875$ when $x=16$ , it follows that

$0.875\cdot16=k\implies k=14$

Then when $x=21$ , we have

$21z=14\implies z=\dfrac{14}{21}=\approx0.667$

8 0

3 years ago