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Airida [17]
3 years ago
13

there are 13 boys and 7 girls in a class. the tecaher selcts two students to run an errand. how many possible outcome are there

if she slects a boy followed by a girl?
Mathematics
1 answer:
NeX [460]3 years ago
5 0

13\cdot 7=91

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A jury pool consists of 50 potential jurors and how many ways can a jury of 12 be selected
bija089 [108]

Solution:

we are given that

A jury pool consists of 50 potential jurors.

Wee have been asked to find the number of ways can a jury of 12 be selected.

As we know from the concept of combination that r person can be selected out of n in ncr ways. where

n_C_r=\frac{n!}{r!(n-r)!}

Now substitute the values we get

{50}_C_{12}=\frac{50!}{12!(50-12)!}\\
\\
{50}_C_{12}=\frac{50!}{12!38!}\\
\\
{50}_C_{12}=121399651100\\

Hence the required number of ways is 121399651100

5 0
3 years ago
−9x+4y=6 9x+5y=−33 ​
blsea [12.9K]

Answer:

{x,y} = {-2,-3}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    -9x + 4y = 6

  [2]    9x + 5y = -33

Graphic Representation of the Equations :

   4y - 9x = 6        5y + 9x = -33  

Solve by Substitution :

// Solve equation [2] for the variable  y  

 

 [2]    5y = -9x - 33

 [2]    y = -9x/5 - 33/5

// Plug this in for variable  y  in equation [1]

  [1]    -9x + 4•(-9x/5-33/5) = 6

  [1]    -81x/5 = 162/5

  [1]    -81x = 162

// Solve equation [1] for the variable  x  

  [1]    81x = - 162  

  [1]    x = - 2  

// By now we know this much :

   x = -2

   y = -9x/5-33/5

// Use the  x  value to solve for  y  

   y = -(9/5)(-2)-33/5 = -3

3 0
3 years ago
A bakery sold a total of 400 cupcakes in a day, and 43% of them were vanilla flavored. how many of the cupcakes sold that day we
garik1379 [7]

The number of the cupcakes sold that day that were vanilla flavored is 172.

<h3>How do we calculate a number from a percentage?</h3>

The number of the cupcakes sold that day that were vanilla flavored can be calculated using the following formula:

Number of vanilla flavored cupcakes sold = Total number of cupcakes sold * Percentage that were vanilla flavored .............. (1)

Substituting the relevant values into equation (1), we have:

Number of vanilla flavored cupcakes sold = 400 * 43% = 172

Learn more about percentages here: brainly.com/question/14801224.

#SPJ1

7 0
2 years ago
The function F(c)=log0.5x is decreasing true or false
nikitadnepr [17]

Answer:

  true

Step-by-step explanation:

We assume you intend your function to be ...

  F(x)=\log_{0.5}x

A logarithm with a base less than 1 is a decreasing curve. Here, the base appears to be 0.5, a value less than 1. Hence the curve is decreasing.

7 0
3 years ago
Which expression does NOT simplify to 1?
koban [17]

fg^3 / g^3f = 1

f^4 / f*f*f*f = f^4 / f^4 = 1

f^2g^3 / f^3g^2 = g/f

f*f/f^2 = f^2 / f^2 = 1

Answer:

f^2g^3 / f^3g^2

6 0
3 years ago
Read 2 more answers
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