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3 years ago

Which of the following is not a subset of {1, 2, 3}? {0} {1, 2, 3} Ø

Mathematics

1 answer:

Butoxors [25]3 years ago

6 0

Answer:

{0}

Step-by-step explanation:

{0} is not because 0 is not an element of set {1, 2, 3}

The null set is a subset of every set, so Ø is.

A set is a subset of itself.

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Suppose the mean GPA of all students graduating from a particular university in 1975 was 2.40. The registrar plans to look at re

ycow [4]

Answer:

Correct option:

(B) H₀: μ = 2.40 vs. Hₐ: μ ≠ 2.40.

Step-by-step explanation:

The registrar of particular university in 1975 plans to look at records of students graduating last year to see if the mean GPA has changed from 2.40.

The registrar can use a single mean test to determine whether the mean has changed or not.

The hypothesis can be described as:

H₀: The mean GPA is 2.40, i.e. μ = 2.40.

Hₐ: The mean GPA is different from 2.40, i.e. μ ≠ 2.40.

To perform the test the registrar can either use a z-distribution or a t-distribution.

If the data provided gives some insight about the population standard deviation and the sample selected is quite large then the z-distribution can be used.

Otherwise it is wiser to use a t-distribution.

The decision rule is:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Thus, the correct option is (B).

6 0

3 years ago

during a bike challenge, riders have to collect various colored ribbons. each 1/2 mile they collect a red ribbon, each 1/8 mile

Natali [406]

The correct answer is: 
green and blue.

Explanation: 
We want to see which fractions $\frac{3}{4}$ is a multiple of. We know that $\frac{3}{4}$ is a multiple of $\frac{1}{4}$ , because $\frac{1}{4}$ *3= $\frac{3}{4}$ .

We can divide fractions to determine if $\frac{3}{4}$ is a multiple of $\frac{1}{2}$ :
$\frac{ \frac{3}{4}}{ \frac{1}{2}}$ ;

in order to divide fractions, flip the second one and multiply:
$\frac{3}{4}$ )* $\frac{2}{1}$ = $\frac{6}{4}$ =1 $\frac{1}{2}$ .
This did not divide evenly, so $\frac{3}{4}$ is not a multiple of 1/2.

Checking to see if $\frac{3}{4}$ is a multiple of $\frac{1}{8}$ , $\frac{ \frac{3}{4}}{ \frac{1}{8}}$ ;

flip the second one and multiply:
$\frac{3}{4}$ * $\frac{8}{1}$ = $\frac{24}{4}$ =6.
This divided evenly, so $\frac{3}{4}$ is a multiple of $\frac{1}{8}$ .

6 0

4 years ago

Read 2 more answers

What is the solution to 6x^2 + 2x + 4 = 0?

Angelina_Jolie [31]

Step 1) Divide 6 and 4 (the last 2 numbers) and bring everything else down

6x^24x+2x+4

Step 2) Place in parentheses

(6x^24x)+(2x+4)

Step 3) Figure out what you can take out of each parentheses.

**In the first one, you can take out 6x because both numbers have x and 6 is the largest number 6 and 24 can go into.**

**In the second one, you can only take out 2 because 2 is the largest number that goes into 2 and 4.**