What’s the answer to this?

Mathematics

1 answer:

barxatty [35]3 years ago

7 0

2 goes with 3
3 goes with 1
4 goes with 2
1 goes with 4

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Suppose f is a function which follows this pattern, where x and h are any numbers: f(a + h) = f(a)*f(h) Which type of function i

fomenos

$f$ has to be a power function in order to satisfy the recurrence pattern $f(x + h) = f(x) \cdot f(h)$

<h3>Procedure - Determination of a function with a pattern.</h3>

In this case, we must assume a given function and check such assumption fulfill the given recurrence. Let suppose that $f(x) = a^{x}$ , by algebra we have the following property:

$f(x + h) = a^{x+h} = a^{x}\cdot a^{h}$ (1)

And by the definition given in statement, we have the following conclusion:

$f(x+h) = a^{x}\cdot a^{h} = f(x) \cdot f(h)$ (2)

Therefore, $f$ has to be a power function in order to satisfy the recurrence pattern $f(x + h) = f(x) \cdot f(h)$ . $\blacksquare$

To learn more on power functions, we kindly invite to check this verified question: brainly.com/question/5168688

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3 years ago

Use the number line to determine the unknown addend in the given number sentence.

snow_tiger [21]

The ansers is 3 or letter a

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Two different samples will be taken from the same population of test scores where the population mean and standard deviation are

Alenkinab [10]

Answer:

The sample consisting of 64 data values would give a greater precision.

Step-by-step explanation:

The width of a (1 - α)% confidence interval for population mean μ is:

$\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{n}}$

So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (n).

That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.

Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.

The two sample sizes are:

n₁ = 25

n₂ = 64

The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.

Width for n = 25:

$\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]$