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2 years ago

Whal term con you use to describe the numbers in set 19

Mathematics

2 answers:

mestny [16]2 years ago

8 0

Let's check them if they obeys rationality

4.2=42/10
1.6=16/10
1.05=105/100
0.8=8/10

Yes they do

So they belongs to set of rational numbers i.e Q

Kitty [74]2 years ago

7 0

Answer:

a) rational numbers

**the completed number lines are attached**

Step-by-step explanation:

a) The numbers in set 1 are all rational numbers as they can all be written in the form $\dfrac{p}{q}$ where q ≠ 0.

$4.2 =\dfrac{21}{5}$

$1.6=\dfrac85$

$1.05=\dfrac{21}{20}$

$0.8=\dfrac45$

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a) 0.057

b) 0.5234

c) 0.4766

Step-by-step explanation:

To find the p-value if the sample average is 185, we first compute the z-score associated to this value, we use the formula

$z=\frac{\bar x-\mu}{\sigma/\sqrt N}$

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$\bar x=mean\; of\;the \;sample$

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$\sigma=standard \; deviation$

N = size of the sample.

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$\boxed {z=1.5811}$

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We compute the area of the normal curve for values to the right of 1.5811 either with a table or with a computer and find that this area is equal to 0.0569 = 0.057 rounded to 3 decimals.

So the p-value is

$\boxed {p=0.057}$

Since the z-score associated to an α value of 0.05 is 1.64 and the z-score of the alternative hypothesis is 1.5811 which is less than 1.64 (z critical), we cannot reject the null, so we are making a Type II error since 175 is not the true mean.

We can compute the probability of such an error following the next steps:

Step 1

Compute $\bar x_{critical}$