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V125BC [204]
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?
Mathematics
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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Most graduate business schools require applicants to take the gmat. scores on this test are approximately normally distributed w
Harman [31]
We are looking for the probability :
P(X > n)=0.05
Transform the law to standard normal like this:
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
X=715, it is the score we are looking for. 
5 0
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
larisa [96]

Answer: Yes Rozonda's definition is valid

Step-by-step explanation:

6 0
2 years ago
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Store A advertises a sale for 3 loves of bread for $5.94. Explain how to use an equivalent rate to find the unit price of the br
tatyana61 [14]

Hello,

To find the Unit Price of the loaves of bread just divide the cost by the amount of loaves it costed.

5.94 / 3 = $1.98

Each loaf (Unit Price) costs $1.98!

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2 years ago
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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.

3 0
2 years ago
You are checking the intermediate results of a phone app that calculates the weight of an object in kilograms given the weight i
Illusion [34]

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

The formula to convers pounds to kilograms is

\text{weight in pounds} = 2.2 \times \text{weight in kilograms}

Obviously, the inverse formula is

\text{weight in kilograms} = \cfrac{\text{weight in pounds}}{2.2}

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.

4 0
2 years ago
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