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Sindrei [870]
2 years ago
7

Describe the square roots of numbers using 2 sentences. Write one sentence describing the square roots of numbers such as √0. 6,

which is less than 1. Write another sentence describing the square roots of numbers such as StartRoot 1. 6 EndRoot, which is greater than 1.
Mathematics
1 answer:
stepladder [879]2 years ago
7 0

The true statements are:

The square roots of numbers less than 1 are less than 1.

The square roots of numbers greater than 1 are greater than 1.

<h3>What is the square root of a number?</h3>

The square root is defined as a factor of a number when multiplied by itself, gives the original number.

The given numbers are 0.6 and 1.6. The square roots of given numbers are:

\sqrt{0.6} = 0.7745

\sqrt{1.6} = 1.2649

The first given number 0.6 is less than 1 and its square root is also less than 1. The second given number 1.6 is greater than 1 and its square root is also greater than 1.

Hence we can conclude that the square roots of numbers less than 1 are less than 1 and the square roots of numbers greater than 1 are greater than 1.

To know more about the square roots, follow the link given below.

brainly.com/question/1527773.

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Answer:

z=\frac{120-200}{\frac{25}{\sqrt{30}}}=-17.527  

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.  

We can say that at 5% of significance the mean average waiting time is significantly less than 200 seconds per call.

Step-by-step explanation:

Data given and notation  

\bar X=120 represent the sample mean  

\sigma=25 represent the population standard deviation  

n=30 sample size  

\mu_o =200 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the population mean is less than 200, the system of hypothesis are :  

Null hypothesis:\mu \geq 200  

Alternative hypothesis:\mu < 200  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{120-200}{\frac{25}{\sqrt{30}}}=-17.527  

P-value  

Since is a one-side left tailed test the p value would given by:  

p_v =P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.  

We can say that at 5% of significance the mean average waiting time is significantly less than 200 seconds per call.

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