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2 years ago

11

Twelve of the students in the school choir like to sing solos. These 12 students make up 24% of the choir. How many students are

in the choir?

2 answers:

guajiro [1.7K]2 years ago

8 0

Answer:

The answer is 50 students

Step-by-step explanation:

Norma-Jean [14]2 years ago

3 0

If 12 students make up 24% of the population, 1 student is 2% of the population because 24/12=2
100/2%=50
I did this because the population would be 2% times # of students= 100%
divide 100 by 50 to get 2 percent or 100/ 2 percent to get 50 students

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We are looking for the probability :
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$P(\dfrac{X-545}{100}> \dfrac{n-545}{100})=0.05$
The above formula is equivalent to this one:
$P(\dfrac{X-545}{100}< \dfrac{n-545}{100})=0.95$
From normal law table, we read the value of $\dfrac{X-545}{100}$ .
$\dfrac{X-545}{100}=1.7$
Solving the above equation for the score n:
$X-545=170$
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2 years ago

Rozonda defines the diameter of a circle as a line segment passing through the center of the circle. Is Rozonda’s definition val

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Step-by-step explanation:

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2 years ago

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tatyana61 [14]

Hello,

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Consider the product (x + y + z)2. If the expression is multiplied out and like terms collected, the result is: x2 + y2 + z2 + 2

VLD [36.1K]

Answer:

Part a: The coefficient of $v^9w^2x^5y^7z^2$ is $1.766 \times 10^{13}$

Part b: The number of terms are 23751.

Step-by-step explanation:

part a

From the given equation the

$(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx$

So the coefficient of any term $x^ny^nz^n$ is given as

$\dfrac{2!}{n!n!n!}$

Similarly for the generic equation of coefficient of the term $x_1^{r_1}x_2^{r_2}x_3^{r_3}......x_k^{r_k}$ in the equation of form $(x_1+x_2+x_3+x_4......x_k)^n$ is given as

$\dfrac{n!}{r_1!r_2!r_3!....r_k!}$

So now the coefficient of $v^9w^2x^5y^7z^2$ is given as

$=\dfrac{25!}{9!2!5!7!2!}\\=1.766 \times 10^{13}$

The coefficient of $v^9w^2x^5y^7z^2$ is $1.766 \times 10^{13}$

Part b:

The number of terms is given as $\left (\ {{m+n-1} \atop {n}} \right )$

where m is the number of variables which are 5 here

n is the power which is 25 so the number of variables is given as

$\left (\ {{5+25-1} \atop {25}} \right )\\\left (\ {{29} \atop {25}} \right )\\\dfrac{29!}{25!4!}=23751$

So the number of terms are 23751.

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2 years ago

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Illusion [34]

The wrong step is step 4, because you only need one conversion.

The formula to convers pounds to kilograms is

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Obviously, the inverse formula is

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So, you're given an input of 142 pounds. To convert it in kilograms, plug that value into out formula:

$\text{weight in kilograms} = \cfrac{142}{2.2} \approx 64.5$

and this is the answer you're looking for, so you need no more steps.

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2 years ago