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iVinArrow [24]
2 years ago
9

Ten boys and twelve girls decide to rent a 16-passenger van and a 6-passenger to drive to a rock concert in a near by city. If t

he group is distributed between the vehicles, whats the probability that
a) there are no boys in the car
b) steve and susan are both in the van
c) either steven or susan are in the van
d) there are no girls in the car
Mathematics
1 answer:
stira [4]2 years ago
5 0
A) The probability that there are no boys in the car is given by:
P(no\ boys\ in\ car)=\frac{12C6}{22C6}=0.012
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Matthew drives 30 miles in 24 minutes. If he drove two hours in total at the same rate, how far did he go? Before you try that
77julia77 [94]

Answer:

Step-by-step explanation:

4 0
2 years ago
Jason swam 3 and one-half miles, then another 3 1/4th miles in one day. On the same day, Rachel swam 2 2/3rd miles, then another
Fynjy0 [20]
<h2>Hello!</h2><h2>The answer is:</h2>

Rachel swam  \frac{5}{12}   miles or 0.42 miles   more than Jason.

<h2>Why?</h2>

To calculate how many miles did Rachel swim more than Jason, we need to write the following equation:

Difference=RachelMiles-JasonMiles

Where,

Difference, is equal to the number of Miles that Rachel did more than Jason

RachelMiles, is equal to 2 2/3rd miles plus 4.5 miles.

Jason Miles, is equal to 3.5 miles plus 3 1/4th miles.

Also, we need to remember the following:

- How to convert mixed fractions to improper fractions,

a\frac{b}{c}=a+\frac{b}{c}

- How to add or subtract fractions and whole numbers.

a+\frac{b}{c}=\frac{ac+b}{c}

Now, we are given the following information:

Jason's miles:

JasonMiles=3\frac{1}{2}+3\frac{1}{4} =(3+\frac{1}{2})+(3+\frac{1}{4})\\\\JasonMiles=(3+\frac{1}{2})+(3+\frac{1}{4})=(\frac{(2)*(3)+1}{2})+(\frac{(3)*(4)+1}{4})\\\\JasonMiles=(\frac{(2)*(3)+1}{2})+(\frac{(3)*(4)+1}{4})=\frac{7}{2}+\frac{13}{4}\\\\JasonMiles=\frac{(7)*(4)+(2)*(13)}{8}=\frac{28+26}{8}=\frac{54}{8}\\\\JasonMiles=\frac{54}{8}=\frac{27}{4}miles

Rachel's miles:

RachelMiles=2\frac{2}{3}+4\frac{1}{2}=(2+\frac{2}{3})+(4+\frac{1}{2})\\\\RachelMiles=(2+\frac{2}{3})+(4+\frac{1}{2})=(\frac{(2)*(3)+2}{3})+(\frac{(4)*(2)+1}{2})\\ \\RachelMiles=(\frac{(2)*(3)+2}{3})+(\frac{(4)*(2)+1}{2})=\frac{6+2}{3} +\frac{8+1}{2}\\\\RachelMiles=\frac{6+2}{3} +\frac{8+1}{2}=\frac{8}{3}+\frac{9}{2}\\\\RachelMiles=\frac{8}{3}+\frac{9}{2}=\frac{(8)*(2)+(3)*(9)}{(3)*(2)}\\\\RachelMiles=\frac{(8)*(2)+(3)*(9)}{(3)*(2)}=\frac{16+27}{6}=\frac{43}{6}miles

Now, substituting the miles swam by Rachel and Jason into the equation, we have:

Difference=\frac{43}{6}-\frac{27}{4}=\frac{(43)*(4)-(6)*(27)}{24}\\\\Difference=\frac{(43)*(4)-(6)*(27)}{24}=\frac{172-162}{24}\\\\Difference=\frac{172-162}{24}=\frac{10}{24}=\frac{5}{12}miles=0.42miles

Hence, we found that Rachel swam 0.42 miles more than Jason.

Have a nice day!

7 0
2 years ago
Find the solution of this system of equations -2x + 8y = 14 -2x – 2y = -26
Elodia [21]
X cancels out, 8y + 2y is equal to 10y, and 26 + 14 is 40, so y=4
5 0
2 years ago
Read 2 more answers
Andre says that any real number can go in either of the boxes and A will be a
Travka [436]

Answer:

Andy is incorrect

Step-by-step explanation:

[See attachment for complete question]

Andy is incorrect because of the following.

Filling the empty boxes with any real numbers does not guarantee that the expression will be a polynomial.

For instance, if the expression is completed as thus:

(5x⁴ + 4x³)(4x^(2.7981) - 6) = A

This expression is not a polynomial because all powers of x must be non negative and it must be an integer.

So, Andy's statement is incorrect

7 0
2 years ago
In the graphing tool, choose the custom option in the Relationship menu to graph the functions f(x) = x3 + 3 and g(x) = x2 + 2.
Art [367]

Answer:

Final answer is x= -0.76 and y=2.57.

Step-by-step explanation:

We have been given two functions f(x)=x^3+3 and

g(x)=x^2+2

Now question says to graph the given functions f(x)=x^3+3 and

g(x)=x^2+2 using some graphing tool. Then zoom as per requirement so that you can see the intersection point and read that point from graph which should be correct up to hundredth decimal place.

I'm using Desmos graphing calculator. Just type both functions then it will create graph for you. Click on intersection point as you can see in the attached picture. They intersect at point (-0.755,2.57).

Hence final answer is x=-0.76 and y=2.57.

3 0
2 years ago
Read 2 more answers
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