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photoshop1234 [79]
3 years ago
7

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

Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer:

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

First term (a) = <u>11</u>

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

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:

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

Z = \frac{39.5 - 52}{4.2661}

Z = -2.93

Z = -2.93 has a p-value of 0.0017, thus:

0.0017 = 0.17% probability that less than half without any traces of pesticide.

A similar problem is given at brainly.com/question/24261244

8 0
2 years ago
Dee's clothing is having a discount of 40% on all shirts. Let x represent the regular price of any shirt in the store. Write an
Elis [28]
Y=0.40x because the sale which is 40% off would be on x amount of shirts
4 0
3 years ago
Which value of x does not satisfy the equation sin^2x + sin x = 0
zzz [600]

Answer:

x \neq 0 \pm \pi \cdot i, \forall i \in \mathbb{N}_{O} and x \neq \frac{3\pi}{2}\pm 2\pi \cdot j, \forall j \in \mathbb{N}_{O}.

Step-by-step explanation:

The equation can be simplified with the help of trigonometric identities:

\sin x \cdot (\sin x + 1) = 0

Which means that equation is equal to zero if any component of the product is zero. The solutions of the expression are:

a) \sin x

x = 0 \pm \pi\cdot i,\forall i \in \mathbb{N}_{O}

b) \sin x + 1

\sin x + 1 = 0

\sin x = -1

x = \frac{3\pi}{2} \pm 2\pi\cdot i,\forall i \in \mathbb{N}_{O}

Any value different of both subsets do not satisfy the equation described above.

8 0
3 years ago
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