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1 year ago

What is the function that defines the following sequence? 10, 12, 14, 16, 18…

1 answer:

4 0

The sequence shown is defined by a function that generates even numbers equal or greater than 10, defined by the function s = 10 + 2 · (n - 1).

<h3>How to define the function behind a sequence</h3>

Sequences are sets of elements characterized by at least a rule. In this case, the sequence shown is characterized by a function that generates even numbers equal or greater than 10. The function behind the sequence is shown below:

s = 10 + 2 · (n - 1) (1)

Where n is the element index.

The sequence shown is defined by a function that generates even numbers equal or greater than 10, defined by the function s = 10 + 2 · (n - 1).

To learn more on sequences: brainly.com/question/21961097

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Convert the following to scientific notation: 5050

ozzi

Answer:

5.05*10³

Step-by-step explanation:

Put the decimal after the first digit and drop the zeroes. To find the exponent count the number of places from the decimal to the end of the number.

5050 = 5.05 *1000 = 5.05*10³

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3 years ago

Convert 0.00001 to the power of 10

Olenka [21]

Answer:

1.0 to the power of 10 - 50 so 1 to the power of 40

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3 years ago

I wanna pass this help me please-

Simora [160]

Answer:

Step-by-step explanation: hope this helps :)

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2 years ago

We are currently learning triangle similarity and about dilations in geometry. We have been using cross multiplying to figure th

miss Akunina [59]

Took me a minute to think.

Form ratios.

x, the small triangle, forms a ratio with 6, the big triangle.

The part of the side that is equal(with the dash) that is part of the small triangle is equal to 6-x, the big triangle.

Yes, you can cross-multiply here!

$\frac{6}{x} = \frac{8}{6-x}$

Now, cross multiply.
P.S. Use distributive property.

36-6x = 8x

Add 6x on both sides.

36=14x

Divide by 14 on both sides.

x = $\frac{36}{14}$ = $\frac{18}{7}$

4 0

3 years ago

In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi

Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n = 50

sample mean $\overline x$ = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

$X \sim N ( \mu \sigma)$

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})$

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})$

$P(X>140) = 1 - P( Z\leq0.42)$

From z tables,

$P(X>140) = 1 - 0.6628$

$P(X>140) = 0.3372$

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

$Y \sim Binomial (np)$

$Y \sim Binomial (50,0.3372)$

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

$P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49} + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +... + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}$

P(Y ≥ 15) = 0.763

7 0

3 years ago