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2 years ago

Which of the following inequalities is represented by the number line?

Mathematics

1 answer:

Rashid [163]2 years ago

6 0

Solid dot with line (arrow) to right so A) x>= 1 is correct

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Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choos

Snowcat [4.5K]

<u>Ashely have </u><u>56 ways</u><u> to choose from</u>

This question can be solved using a system in mathematics called Permutation and it's in a topic of mathematics called combinatorics.

<h3 /><h3>Permutation</h3>

This is the process of arranging a particular set of data in different ways.

Since Ashely is choosing 3 desserts out of 8 in no specific ways

$P=\frac{n!}{(n-r)!}$

Where n = total number of ways available

r = total numbers that would be selected.

Data given

n = 8
r = 3

Let's substitute these values into the equation.

$P=\frac{8!}{(8-3)!3!} \\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1*3*2*1}\\P=56$

From the calculation above, Ashley have 56 ways in which can choose 3 dessert from an 8 choice.

Learn more about permutation here;

brainly.com/question/11871015

8 0

1 year ago

For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify wh

vfiekz [6]

The question is not complete, so i have attached it.

Answer:

A) Option B: μ ≤ 19,000

B) Option C:

H0: μ ≤ 19,000

Ha: μ > 19,000

C) Option D: The null hypothesis H0: μ ≤ 19,000 is the claim

Step-by-step explanation:

A) From the question, we are told that an amusement park claims that the mean daily attendence at the park is at most 19,000 people.

Now, since it's at most 19000 people, it means that they are either 19000 or less. So the claim is;

μ ≤ 19,000 which is option B

B) Now, the claim is usually the null hypothesis. Thus, the null hypothesis is;

H0: μ ≤ 19,000

While the alternative hypothesis which states the opposite of the claim is;

Ha: μ > 19,000

So, option C is the correct answer

C) The claim is μ ≤ 19,000

Now, this also happens to be the null hypothesis.

Thus, the null hypothesis H0: μ ≤ 19,000 is the claim.

So option D is correct.

6 0

3 years ago

The heart beats about 3 x 10° times during the lifetime of the average person. Which

Pani-rosa [81]

Answer:

3,000,000,000

Step-by-step explanation:

3 x 10^9 = 3 x 1,000,000,000 because if it were 10^1, then there would be 1 zero. Same thing for this. Since it's 10^9, there will be 9 zeroes.

4 0

2 years ago

X/3.5=-9.2 what is x

OLEGan [10]

X=-32.2
Just flip them with reverse check

5 0

2 years ago

Factor 1/3 out of 1/3p-2/3 please answer this! Easy 20 points!

Tju [1.3M]

Answer:

$\frac{1}{3} (\frac{1}{p} - 2)$

Step-by-step explanation:

Given the equation = $\frac{1}{3p} - \frac{2}{3}$

Required: To factor out 1/3;

$\frac{1}{3p} - \frac{2}{3}$

1/3 is common to both sides;

So, 1/3 is a common factor

$\frac{1}{3} (\frac{1}{p} - 2)$

To solve for the value of p;

$\frac{1}{3} (\frac{1}{p} - 2)$ = 0

$\frac{1}{p} - 2 = 0$

$\frac{1}{p} = 2$

$1 = 2p$

$p = \frac{1}{2}$

5 0

2 years ago