All categories

3 years ago

Find the common difference of the arithmetic sequence 14,7,0 ....

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

Step-by-step explanation:

the formula for common difference is

d = aₙ - aₙ₋₁

So,

d = a₂-a₁ = a₃-a₂

d =7-14 & d=0-7

d = -7 & d = -7

You might be interested in

1.Describe a qualitative observation<br> 2.Describe a quantitative observation

kipiarov [429]

1) There are 6 dogs total in the picture.

2) Only 3 dogs are tan colored.

3 0

3 years ago

Read 2 more answers

Convert 150 base 10 to a binary <br>number.

STALIN [3.7K]

Answer:

10010110

Step-by-step explanation:

A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:

10000000

Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:

10010000

We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:

10010100

What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:

10010110

8 0

3 years ago

the volume of 100 kilograms of the substance is 80 liters. What is the volume,in liters,of 3.2 kilograms of this substance

Greeley [361]

Multiply 80 the way you would 100 to get the answer. 100 times .032 equals 3.2, therefore 80 times .032 equals the answer. (2.56)

3 0

3 years ago

Professor Elderman has given the same multiple-choice final exam in his Principles of Microeconomics class for many years. After

bearhunter [10]

Answer:

$P(\bar X$

And we can use the following z score:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got using the normal standard distribution table or excel:

$P(\bar X$

C.0.8413

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the records of a population, and for this case we know the distribution for X is given by:

$X \sim N(76,12)$