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?

Answer:

Step-by-step explanation:

C

Answer:

cos theta = 4/5

Step-by-step explanation:

Since this is a right triangle

Cos theta = opp side/ hypotenuse

Cos theta = 8/10

cos theta = 4/5

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)

Answer:

5/8

Step-by-step explanation:

First, find how many slices are yellow or blue.

There are 2 yellow slices and 3 blue slices, so 5 of them are either yellow or blue.

There is a total of 8 slices.

So, the probability that it will stop on a yellow or blue slice is 5/8.

Answer:

[tex]6x^2-x+15[/tex]

Step-by-step explanation:

(3x + 5)(2x - 3) = [tex]6x^2-9x+10x-15=6x^2+x-15[/tex]

Answer:

Yes, they do

Step-by-step explanation:

Because

6+8=14>9

6+9=15>8

8+9=17>6

Answer:

7, 11, 13, 17, 19 and 23

Step-by-step explanation:

Answer:

7,11,13,17,23

hope it helps

thank you

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

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,

substitute the values

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

m = -3 / 7

Hence, slope is -3/7.

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

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]

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)

Answer:

a

Step-by-step explanation:

I believe it is answer a. the helicopter is the distance in the air that it is cruising and the angle is how it has to begin its decent down to the fireman

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

Answer:

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

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.

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

Answer:

$200 each.

Step-by-step explanation:

You are sharing the $600 bonus with 2 of your kids, meaning that the money will be evenly divided between 3 people. Divide the total amount of money with the total amount of people:

$600/3 persons = $200/person

Each person obtains $200.

~

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

Answer:

8 - (p - 4)

Step-by-step explanation:

8 - (p - 4)

Answer:

Letter A

Step-by-step explanation:

Hope this helps

Answer:

its A

Step-by-step explanation:

Answer: 8 is the value for y.

since x=16 as answered in the previous question, then 10x-3+(3y-1)=180 being in a straight line.

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°

Answer:

Step-by-step explanation:

Hope this helps  !!