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3 years ago

What is the explicit rule for the sequence: 11, 22, 44, 88...

Mathematics

1 answer:

andriy [413]3 years ago

6 0

Answer:

Geometric Progression is the explicit rule for the given sequence: 11, 22, 44, 88...

First term (a) = 11

Common ratio (r) = 22/11 = 44/22 = 88/44 = 2

Formula used in Geometric Progression is :---

$\boxed{a_n = a {r}^{(n - 1)}}✓\\$

where, 'n' is the required term

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A survey with a two-point scale was conducted in an organization. It concluded that 85% of the respondents were unsatisfied with

Morgarella [4.7K]

Answer:

Number of the peoples were satisfied with the career guidance are 300 .

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

A survey with a two-point scale was conducted in an organization.

It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided.

If 2,000 people participated in the survey.

Total value = 2000

Percentage = 85%

Putting all the values in the formula

$85 = \frac{Part\ value\times 100}{2000}$

$Part\ value= \frac{2000\times 85}{100}$

$Part\ value= \frac{170000}{100}$

Part value = 1700

i.e

People not satisfied by the career guidance = 1700

People satisfied by the career guidance = Total people participated in survey - People not satisfied by the career guidance .

Putting the values in the above

= 2000 - 1700

= 300

Therefore the number of the peoples were satisfied with the career guidance are 300 .

5 0

3 years ago

Read 2 more answers

The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.

olganol [36]

We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5

Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5

4 0

3 years ago

The Food and Drug Administration (FDA) produces a quarterly report called Total Diet Study. The FDA’s report covers more than 20

pav-90 [236]

Using the normal approximation to the binomial, it is found that:

The mean of X is of 52 samples.
The standard deviation of X is of 4.2661 samples.
0.0017 = 0.17% probability that less than half without any traces of pesticide.

--------------------------------

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, with mean given by:

$E(X) = np$

And standard deviation of:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Z-score formula is used, which, in a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

Each z-score has an associated p-value, which measures the percentile of measure X.

--------------------------------

65% of samples had no pesticide, thus $p = 0.65$
80 samples, thus $n = 80$

The mean of X is of:

$E(X) = np = 0.65(80) = 52$

The standard deviation of X is of:

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80(0.65)(0.35)} = 4.2661$

Using the approximation and continuity correction, the probability is $P(X < 40 - 0.5) = P(X < 39.5)$ , which is the p-value of Z when X = 39.5. Thus: