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3 years ago

Find the first five terms of each arithmetetic sequence describe a1 = -12 d = 5

Mathematics

1 answer:

Fudgin [204]3 years ago

4 0

Answer:

- 12, - 7, - 2, 3, 8

Step-by-step explanation:

The general terms of an arithmetic sequence are

a, a + d, a + 2d + ....... + a + (n - 1 )d

To obtain consecutive terms in the sequence add d = 5 to the previous term

$a_{1}$ = - 12

$a_{2}$ = - 12 + 5 = - 7

$a_{3}$ = - 7 + 5 = - 2

$a_{4}$ = - 2 + 5 = 3

$a_{5}$ = 3 + 5 = 8

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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 19. Use the empirical rule

zvonat [6]

Answer: About 99.7% IQ scores falls within 43 and 157.

Step-by-step explanation:

According to the empirical rule , if a data follows normal distribution then about 99.7% of the population lies with in three standard deviations from mean.

Given: IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 19.

Since , the graph of normal distribution is bell-shaped , it mean that IQ scores follow normal distribution.

Then, About 99.7% IQ scores falls within Mean ± 3 (Standard deviation).

i.e. About 99.7% IQ scores falls within 100± 3(19).

i.e. About 99.7% IQ scores falls within 100- 57 and 100+57.

i.e. About 99.7% IQ scores falls within 43 and 157.

Therefore , by empirical rule

About 99.7% IQ scores falls within 43 and 157.

3 0

4 years ago

The distribution of the amount of money spent by first-time gamblers at a major casino in Las Vegas is approximately normal in s

Leya [2.2K]

Answer:

$720

Step-by-step explanation:

Given :

Mean, m = 600

Standard deviation, s = 120

Z = (x - m) / s

P(Z > x) = 84%

P(Z > x) = 0.84

Zscore corresponding to P(Z > x) = 0.84 will be -0.994

Hence,

-0.994 = (x - 600) / 120

120 * -0.994 = x - 600

119.28 = x - 600

119.28 + 600 = x

719.28 = x

Hence,

X = $720

4 0

2 years ago

Round $99.20 to the nearest ten

Vikki [24]

Take the first 9 is in yours tens place so you want to take the second 9 and round up because anything 5 or more goes up and 4 or less stays the same

4 0

3 years ago

Read 2 more answers

Ill in the blank with the correct number:

kakasveta [241]

Answer:

88.56 with tax included

8 0

3 years ago

How to you get the radical form?

Over [174]

Answer:

Note: this answer is kind of long so jump to picture to see a visual process.

In order to find the simplest radical form of a square root, you need prime factorize the number. In order to do this, you take a number and divide it by different prime numbers until all of its factors are now prime. We will use 24 as our example. 24 divided by 2 (which is prime) is 12. 12 divided by 2, is 6. 6 divided by 2 is 3. Therefor, our prime factorization of 24 is 2^3 * 3, which basically means 8 * 3. Then, take take out pairs of the same number and put on the OUTSIDE of the root. However, make sure that it is NEXT to the square root and not inside the mini hook that the square root makes. This means that that number is multiplying the square root of the number. Now, the only pair in this prime factorization is 2, so take two out of the prime factorization and that leaves us with square root 6 times 2, which is the answer.

Also, when taking out pairs, only take one number from the pair (in this case 2) and put it on the outside. If there is another pair, multiply that number by the other number. So if there was a pair of 3 and a pair of 2, take out 1 three and 1 two and multiply them and put on the outside.

Step-by-step explanation:

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5 0

2 years ago