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mihalych1998 [28]
4 years ago
7

The geographical distribution of hometown of some 80 students at DLSU-D is given as: 50 from Cavite, 10 from Laguna, and 20 from

Manila. Suppose three students are selected. Find the probability that they all come from the three places.
Mathematics
1 answer:
MrMuchimi4 years ago
8 0
<span>The probability none comes from C. is (30/80)*(29/79)*(28/78)=0.0494.

The three buttons have to be pressed in a certain order. Because three buttons have all been pressed many times, then the buttons will be assumed to be distinct. 
The chances are then 3! or 6, and the probability is (1/6)
ABC

</span><span>ACB
BCA
BAC
CAB
CBA 

In this instance, there are 10 ways to choose each button, three times, independent, since the buttons don't have to be distinct. This is 10^3 or 1000, and the probability is (1/1000).</span>
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A bread company makes 9 types of bread. A restaurant chain ordered 497 loaves of each kind of bread. How many loaves of bread in
Aleksandr [31]
9 types of bread....a restaurant orders 497 loaves of each type

so there are (497 * 9) = 4473 loaves ordered in total
7 0
4 years ago
An equation is shown below: 8x + 2(x – 7) = 7x + 3x – 14 Part A: Solve the equation and write the number of solutions. Show all
marta [7]

Answer:

  1. Infinitely Many
  2. Distributive Property

Step-by-step explanation:

8x + 2(x - 7) = 7x + 3x - 14

8x + 2x - 14 = 7x + 3x - 14                 Distributive property.

10x - 14 = 10x - 14                              Combine the like terms.

-14 = -14                                             Subtraction.

0 = 0                                                  Addition.

Since the statement 0 = 0 is true regardless of the value of x, there is infinitely many solutions.

7 0
2 years ago
What is the answer to 1/2-(1/8+1/8
Snezhnost [94]

1/8+1/8=1/4

1/2-1/4=1/4

3 0
3 years ago
Read 2 more answers
What are the like terms in the expression 7y + 4 +4x + 7​
lorasvet [3.4K]

Answer:

4, 7

Step-by-step explanation:

7y + 4 +4x + 7​

The only like terms are the constants 4 and 7

7y is like yogurt and 4x is like xrays, we don't  mix them

7 0
3 years ago
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Find a power series for the function, centered at c. g(x) = 4x x2 2x − 3 , c = 0
BartSMP [9]

The power series for given function g(x)=\frac{4x}{(x-1)(x+3)} is g(x)=\sum{_{n=0}^\infty}~x^n(-1+(-\frac{x}{3} )^n)

For given question,

We have been given a function g(x) = 4x / (x² + 2x - 3)

We need to find a power series for the function, centered at c, for c = 0.

First we factorize the denominator of function g(x), we have:

\Rightarrow g(x)=\frac{4x}{(x-1)(x+3)}

We can write g(x) as,

\Rightarrow g(x)=\frac{1}{x-1}+\frac{3}{x+3}\\\\\Rightarrow g(x)=\frac{-1}{1-x}+\frac{1}{1+\frac{x}{3} }\\\\\Rightarrow g(x)=\frac{-1}{1-x}+\frac{1}{1-(-\frac{x}{3} )}\\

We know that, \frac{1}{1-x}=\sum{_{n=0}^\infty}~{x^n} if |x| < 1

and \frac{1}{1-(-\frac{x}{3} )}=\sum{_{n=0}^\infty}~x^n(-\frac{x}{3} )^n  if |\frac{x}{6}| < 1

\Rightarrow g(x)=-\sum{_{n=0}^\infty}~x^n+\sum{_{n=0}^\infty}~x^n(-\frac{x}{3} )^n\\     if |x| < 1 and  if |\frac{x}{6}| < 1

\Rightarrow g(x)=\sum{_{n=0}^\infty}~x^n(-1+(-\frac{x}{3} )^n) if |x| < 1

Therefore, the power series for given function g(x)=\frac{4x}{(x-1)(x+3)} is g(x)=\sum{_{n=0}^\infty}~x^n(-1+(-\frac{x}{3} )^n)

Learn more about the power series here:

brainly.com/question/11606956

#SPJ4

5 0
2 years ago
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