There are 10 boys and 13 girls in Mr. Benson's fourth-grade class and 12
boys and 11 girls in Mr. Johnson fourth-grade class. A picnic committee
of six people is selected at random from the total group of students in both
clasties.
(a) What is the probability that all the committee members are girls?
(b) What is the probability that the committee has three girls and three
boys?

Answers

Answer 1

The number of ways 6 girls can be chosen from 24 girls is C(24, 6)
= 24! / (18! x 6!) = 134596
The number of ways 6 students can be chosen from 46 students is C(46, 6)
= 46! / (40! x 6!) = 9366819

a) P(6 girls are chosen) = 134596 / 9366819 = 0.01437 (4sf)

The number of ways 3 boys and 3 girls can be chosen is C(22, 3) x C(24, 3)
= [22! / (19! x 3!)] x [24! / (21! x 3!)] = 3116960

b) P(3 boys and 3 girls are chosen) = 3116960 / 9366819 = 0.3328 (4 sf)

Related Questions

solve 3p²+7pqr+2q²r²

Answers

Answer:

Step-by-step explanation:

Hope this helps !!

This is the answer. Hope i’ve done it right!

Please help!!
Will mark brainilest!!

Answers

Point of intersection is the solution of the system of equations.

Both of them intersect at point (-3,5)

So, (-3,5) is the solution of the system of equations.

OPTION B

Answer:

(-3,5)

Step-by-step explanation:

The solution to the system is where the two graphs intersect. They intersect at two points

(-3,5) and (1,-3)

The only solution listed as a choice is (-3,5)

19. What was done to overcome the problem of the MSL landing?
O More airbags were used
O A pulley system was created
O A parachute was used
0 A tether and roper were used

HELP PLS ASAP

Answers

A parachute was used

The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?

Answers

Answer:

-3/2

Step-by-step explanation:

The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.

31. The length of a rectangle is 2 meters less than
three times the width. What is the maximum
integer value of the length if the perimeter is
less than 43 meters?

Answers

Answer:

l=15

Step-by-step explanation:

let length=l

width=w

l=3w-2

w=(l+2)/3

Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43

2(4l+2)≤129

8l+4≤129

8l≤125

l≤125/8

so l=15

________________

P=2(l+w)=2(3w-2+w)=8w-4≤43

8w≤47

w≤47/8

l≤141/8-2

l≤125/8

l=15

2. Determine the sum of the measures of the interior angles of a dodecagon.

Answers

9514 1404 393

Answer:

1800°

Step-by-step explanation:

The interior angles of a convex polygon with n sides have the sum ...

angle sum = (n -2)×180°

For the 12-sided dodecagon, the angle sum is ...

angle sum = (12 -2)×180° = 1800°

Giải phương trình vi phân
a. dy/dx
b. y' + 2xy = 4x

Answers

Your first differential equation is incomplete, so I'll just look at the second one.

y' + 2xy = 4x

Multiply both sides by exp(x ²):

exp(x ²) y' + 2x exp(x ²) y = 4x exp(x ²)

The left side is the derivative of a product:

(exp(x ²) y )' = 4x exp(x ²)

Integrate both sides:

exp(x ²) y = ∫ 4x exp(x ²) dx

For the integral, substitute u = x ² and du = 2x dx :

exp(x ²) y = 2 ∫ exp(u) du

Solve for y :

exp(x ²) y = 2 exp(u) + C

exp(x ²) y = 2 exp(x ²) + C

y = 2 + C exp(-x ²)

Which is true about the functional relationship shown in the graph

Answers

Answer:

Step-by-step explanation:

4x-5y<_1 isolated by y

Answers

Answer:

[tex]y \ge \frac{4x-1}{5}[/tex]

Step-by-step explanation:

Given

[tex]4x - 5y \le 1[/tex]

Required

Solve for y

[tex]4x - 5y \le 1[/tex]

Subtract 4x from both sides

[tex]- 5y \le 1-4x[/tex]

Divide both sides by -5 (the inequality sign changes)

[tex]y \ge \frac{1- 4x}{-5}[/tex]

[tex]y \ge \frac{4x-1}{5}[/tex]

A runner runs a distance of 300 metres in a time of 60 seconds.
What is his average speed?

Answers

About 11 mph

Because 300 meters in miles is .186 x 60

5 meters a second or 671.08 meters an hour

solve the differential equation: x(y^2 - 1)^1/2 dx-y(x^2-1)1/2 dy=0

Answers

Try this solution, note the answer is marked with green colour.

Solve the equation -6 + 4a = 18 for a.

OA) 4

OB) 5

OC) 6

OD 9

Answers

Step-by-step explanation:

-6 + 4a = 18

4a= 24

a=6

!!!!!!!!!!!!

Answer:

OC) 6

Step-by-step explanation:

Transpose -6 to the other side

-6 + 4a = 18

4a = 18+6

4a = 24

a = 6

Assume the matrix below is the augmented matrix corresponding to a system of equations with variables x, y, and z (in that order). What is the exact value of z? 11 1 13 0 1 1 12 0 0 1 11

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but a similar question is attached and solved.

An augmented matrix is a matrix obtained by appending the columns of two given matrices. The augmented matrix can be represented as:

[tex]\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] ^{-1}\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-5/9&-7/18&11/18\\2/9&5/9&-4/9\\1/3&-2/3&1/3\end{array}\right] \left[\begin{array}{c}-1\\10\\-6\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-7\\8\\-9\end{array}\right][/tex]

z = -9

Anna invested 2,500 at an annual rate 5%. How long will it take until anna earns 1,125 in interest

Answers

9514 1404 393

Answer:

9 years

Step-by-step explanation:

The simple interest formula is ...

I = Prt

where I is the interest earned on principal P invested at annual rate r for t years. Solving for t, we have ...

t = I/(Pr) = 1125/(2500×.05) = 1125/125

t = 9 . . . . years

It will take 9 years for Anna to earn 1125 in interest.

Answer:

-3/7

Step-by-step explanation:

To find the slope use the slope formula

m = ( y2-y1)/(x2-x1)

= ( 1-4)/(4 - -3)

= (1-4)/(4+3)

= -3/7

Answer:

slope = - 3/7

step-by-step explanation:

we have two points which are (-3,4) and (4,1).

To find the slope of line , use the slope formula which is

m = ( y² - y¹ ) / ( x² - x¹)

Where,

m = slope( y² - y¹ ) = ( 1-4 ) ( x² - x¹) = ( 4 - ( - 3 ) )

substitute the values

m = ( 1 - 4 ) / ( 4 - ( - 3 ))

m = -3 / 7

Hence, slope is -3/7.

You get a $600 bonus from work and want to share with your two kids. How much money will each of the three of you get if you split it evenly?

p is salamander because the question doesn’t make sense

Which conditional statement is represented by the Venn diagram below?
Quadrilateral
Square
A. If a shape is a square, then it is a quadrilateral.
B. If a shape is a square, then it is not a quadrilateral.
0
C. If a shape is a quadrilateral, then it is a square.
D. If a shape is a quadrilateral, then it is not a square.

Answers

The answer is A. If the shape is a square, then it is a quadrilateral.

B is incorrect because a square is a quadrilateral.

C is incorrect because not all quadrilaterals are squares.

D is incorrect because a shape can be square if it’s a quadrilateral.

I hope this helps!

5338 wins in 34 years

Answers

Answer:

is that a question?????????????

Answer: 157 wins per year

Explanation: 5338 wins /34 years

Jill went on 8 hikes. The hikes were 6 miles, 4 miles, 2 miles, 3 miles, 7 miles, 5 miles, and 1 mile. What was the range of the lengths of Jill's hikes? :)

Answers

Answer:

range is 6

Step-by-step explanation:

The smallest number in this data set is 1 mile, the largest is 7 miles

the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6

8 minus the difference of p and 4 un algebraic expression

Answers

Answer:

8 - (p - 4)

Step-by-step explanation:

8 - (p - 4)

A teacher offers 8 extra credit assignments.what is the domain of this graph

Answers

C (0,1,2,3,4,5,6,7,8)
This is the answer because you’re given 8 coordinate points and the domain is also known as the x value which is the x axis so those numbers are 0-8

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