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Deffense [45]
1 year ago
13

The table below represents an exponential function what is the common ratio

Mathematics
1 answer:
Greeley [361]1 year ago
3 0

Solution:

Given:

A table representing an exponential function.

The x-values represent the terms, while the y-values represent the numbers.

The common ratio is gotten from the numbers (y-values).

The formula for common ratio is given by;

\begin{gathered} r=\frac{present\text{ term}}{preceed\text{ ing term}} \\  \\ \text{Hence,} \\ r=\frac{108}{36}=\frac{36}{12}=\frac{12}{4}=\frac{4}{1.33\ldots}=\frac{1.33\ldots.}{0.44\ldots} \\ r=3 \end{gathered}

Therefore, the common ratio is 3.

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Answer:

P-value =  0.4846

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.73

Sample mean, \bar{x} = 4.35

Sample size, n = 51

Alpha, α = 0.05

Sample standard deviation, s = 3.88

First, we design the null and the alternate hypothesis

H_{0}: \mu = 4.73\\H_A: \mu \neq 4.73

We use Two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{4.35 - 4.73}{\frac{3.88}{\sqrt{51}} } = -0.699

Now, z_{critical} \text{ at 0.05 level of significance } = \pm 1.96

We can calculate the p-value with the help of standard normal table.

P-value =  0.4846

Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.

We conclude that this college has same drinking habit as the college students in general.

7 0
3 years ago
A number line going from 0 to 4. Numbers 0, 1, 2, 3, and 4 are marked on the line. Marks divide the spaces between each number i
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Given that :

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Length in yd of each string = 1/2 yards

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4 / (1/2)

4 * (2 /1)

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Answer:

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10^2/5^2

Do the exponents first

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Hope this helps!

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