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sladkih [1.3K]
2 years ago
6

Only 9 members of the math club showed up for yesterday's meeting. This is only 20% of the total amount of members. How many tot

al number of members are in the math club?
Mathematics
2 answers:
Vedmedyk [2.9K]2 years ago
7 0

The answer is 45

----------------------------------------------------------------------------------------------------------------

If you worked it out it would've been simple.

20<em>x</em>5<em>=</em>100.

9<em>x</em>5<em>=</em>45.

-----------------------------------------------------------------------------------------------------------------

If you turn 20% into a decimal the it will become 20 itself then you can do 20x5 to get 100, then you can use the 9 and the 5 and multiply it together then your answer is 45.

jek_recluse [69]2 years ago
3 0

Answer:

There is a total of 45 members in the math club.

Step-by-step explanation:

What I did is I multiplied 9 by 5 and got 45. I multiplied 9 by 5 because the question stated that 9 students are 20%. 20% times 5 would be 100%, which would be the total number of students.

Hope this helped :)

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Answer:

x>7

Step-by-step explanation:

Add 2 to both sides

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Find the exact solutions of x2 − 3x − 5 = 0 using the quadratic formula. Show all work! 75 points please help!!!!!
noname [10]

Answer:

x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}

Step-by-step explanation:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0

<u>Given quadratic equation</u>:

x^2-3x-5=0

<u>Define the variables</u>:

\implies a=1, \quad b=-3, \quad c=-5

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)}}{2(1)}

\implies x=\dfrac{3 \pm \sqrt{9+20}}{2}

\implies x=\dfrac{3 \pm \sqrt{29}}{2}

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}

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IgorC [24]

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3 years ago
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<img src="https://tex.z-dn.net/?f=3x%20-%202y%20%3D%2043x%20%2B%202y%20%3D%208" id="TexFormula1" title="3x - 2y = 43x + 2y = 8"
den301095 [7]

3x - 2y = 8 +

===》 46x = 16

43x + 2y = 8

x = 16/46

x = 8/23

______________________________

3x - 2y = 8

3(8/23) - 2y = 8

24/23 - 2y = 8

2y = 24/23 - 8

y = 12/23 - 4

y = 12/23 - 92/23

y = - 80/23

5 0
2 years ago
You are studying the relationship between the history of early childhood trauma (categorized as trauma/no trauma) and weight in
jeka57 [31]

Answer:

You can decide to <u>reject</u> the Null Hypothesis at p < 0.05.

Step-by-step explanation:

In this case, the relationship between the history of early childhood trauma and weight in adulthood are being studied.

The categories of childhood trauma are:

Trauma and No trauma.

So, number of rows is, <em>r</em> = 2.

The categories of weight in adulthood are:

Low to normal, Overweight, and Obese

So, number of columns is, <em>c</em> = 3.

The distribution of the statistic \chi^{2} is chi-square with (<em>r </em>- 1)(<em>c </em>- 1) degrees of freedom, where <em>r</em> represents the number of rows in the two-way table and <em>c</em> represents the number of columns.

Compute the degrees of freedom as follows:

df = (r-1)(c-1)=(2-1) \times (3-1) = 2

It is provided that the calculated value of Chi-square test statistic is 18.26.

Compute the <em>p</em>-value of the test as follows:

p-value=P(\chi^{2}_{2}\geq 18.26)\\=0.000108\\\approx0.00011

Decision rule:

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level.

The significance level is, <em>α</em> = 0.05.

<em>p</em>-value = 0.00011 < <em>α</em> = 0.05.

The null hypothesis will be rejected at 5% level of significance.

Thus, the complete statement is:

"You can decide to <u>reject</u> the Null Hypothesis at p < 0.05."

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