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kotykmax [81]
3 years ago
5

What is cardinality of A={1,4,9}​

Mathematics
1 answer:
Semenov [28]3 years ago
4 0

Answer:

3

Step-by-step explanation:

The cardinality of a set a measure of the number of elements in a set.

A set is a group of objects that have a well defined relationship between them.

In the given set,  A={1,4,9}​

 The set of A has 3 elements which are 1, 4 and 9

So, the cardinality of this set is 3.

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is
Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given the mean of the Population(μ)  = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

                                                 S = √784 = 28

<u><em>Step(ii)</em></u>:-

<u><em>Null hypothesis: H₀</em></u>: There is no sufficient evidence to support the claim that the bags are underfilled.

<u><em>Alternative hypothesis: H₁:</em></u>

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

                     t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

                    t = \frac{412 -419}{\frac{28}{\sqrt{19} } }

                   t = -1.09

                 |t| = |-1.09|

<em>Degrees of freedom   ν = n-1 = 19-1 =18</em>

<em>t₀.₀₂₅ =  3.19</em>

<u><em>Final answer:</em></u><em>-</em>

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

                   

8 0
3 years ago
Given the following table, what is the quadratic equation?
rusak2 [61]

Answer:

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7 0
3 years ago
6-2x??? NEED AN ANSWER ASAP!!!
JulijaS [17]

Answer:

2(3-x)

Step-by-step explanation:

3 0
3 years ago
Jaun's age, x, is 4 times his age 15 years ago
KIM [24]

The expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)

<h3>How to rewrite the statement as an expression?</h3>

The mathematical statement is given as

Jaun's age, x, is 4 times his age 15 years ago

From the statement, we have:

x represent Juan's current age

This means that his age 15 years ago is

15 years ago = x - 15

4 times his age 15 years ago is

4 * 15 years ago = 4 * (x - 15)

The above equation is equivalent to his current age

So, we have

x = 4 * (x - 15)

Hence, the expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)

Read more about expressions at

brainly.com/question/2972832

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7 0
1 year ago
What is the slope of the line that<br> asses through these two points?<br> (1, -2)<br> (3, 4)
dusya [7]

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{4+2}{2}\implies \cfrac{6}{2}\implies 3

3 0
2 years ago
Read 2 more answers
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