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2 years ago

What number is one thousand more than 3,449?

Mathematics

1 answer:

yKpoI14uk [10]2 years ago

3 0

Answer:

4,449

Step-by-step explanation:

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A city council consists of six democrats and five republicans. If a committee of seven people is selected, find the probability

Mamont248 [21]

Use hypergeometric distribution where there are two categories of identical objects/persons, each with a know size.
d=number of Democrats selected
D=total number of Democrats = 6
r=number of Republicans
R=total number of Republicans =5
Then
$P(d,r)=\frac{C(D,d)C(R,r)}{C(D+R,d+r)}$
where
$C(n,r)=\frac{n!}{(n!(n-r)!)}$ = combination of r items selected from n,
D+R=total number of members = 6+5 =11
d+r=number of members selected = 7

$P(d,r)=\frac{C(D,d)C(R,r)}{C(D+R,d+r)}$
$P(4,3)=\frac{C(6,4)C(5,3)}{C(6+5,4+3)}$
$=\frac{C(6,4)C(5,3)}{C(11,7)}$
$=\frac{15*10}{330}$
$=\frac{5}{11}$

Answer: the probability of selecting 4 Democrats and 3 Republicans is 5/11

7 0

2 years ago

What is the solution of the system of equations?<br> 4x-8y=0<br> 5x+2y=6

katrin [286]

Answer:

x=1,

y=1/2

Step-by-step explanation:

4x-8y=0

so 4x=8y

x=2y

5x+2y=6

because x=2y

so:

5x+x=6

6x=6

x=1;

then

x=2y

1=2y

y=1/2

7 0

3 years ago

Ming throws a stone off a bridge into a river below.

AURORKA [14]

Answer:

1 seconds after being thrown, the stone reaches its max height

Step-by-step explanation:

The parabolic (quadratic) equation is:

$h(x)=-5(x-1)^2+45$

Lets expand this in the form $ax^2+bx+c$ , so we have:

$h(x)=-5(x-1)^2+45\\h(x)=-5(x^2-2x+1)+45\\h(x)=-5x^2+10x-5+45\\h(x)=-5x^2+10x+40$

We can say the values of a,b, and c, now to be:

a = -5

b = 10

c = 40

The number of seconds at which the max would occur is given by the point, x, at:

$x=-\frac{b}{2a}$

We know a and b, let's find the seconds, x,

$x=-\frac{b}{2a}=-\frac{10}{2(-5)}=-\frac{10}{-10}=--1=1$

Hence,

1 seconds after being thrown, the stone reach its max height

6 0

2 years ago

Read 2 more answers

Solve -11 2/3 * (-4 1/5)

eduard

Answer:pts

Solve -11 2/3 * (-4 1/5)=49

Step-by-step explanation:

do whatever is in parentheses first

mark me brainest plz

6 0

2 years ago

Read 2 more answers

A bike shop sells you a bicycle for $63 and a helmet for $21. The total cost is 150% of what the shop spent originally. How much

marshall27 [118]

The bike shop made $28 dollars profit. First, you add the cost of the bike and the cost of the helmet, which is $84. Then you divide that by 150 to get what 1% would be, which is .56. Then you multiply that by 50%, which is the part of the price that the shop profited, which is $28.

7 0

2 years ago