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Evgen [1.6K]
2 years ago
8

A bag contains 7 red marbles, 5 blue marbles and 4 green marbles. If three marbles are drawn out of the bag, what is the probabi

lity, to the nearest 1000th, that all three marbles drawn will be red?
Mathematics
1 answer:
Korvikt [17]2 years ago
4 0

Answer:

<h3>0.063</h3><h2>Step-by-step explanation:</h2>

<h3>probability is defined as the measure of chances of events happening or chances of occurrence.The probability that an event can happen is zero(0)</h3><h3>Probability can be calculated using the formular: number of required outcome all over number of total possible outcome.</h3>

Probability of 3 red = 7/16 x 6/15 x 5/14 = (7)(6)(5)/(16)(15)(14)=

6x5/16x15x2 = 5/16x5= 1/16 = (1/2)(.125) = 0.0625

Probability of 3 reds = 0.0625

round off to thousandths Pr(3R) = 0.063

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Match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.
Allisa [31]

Answer:

y=2x+7

y=4x+7

y=5x

Step-by-step explanation:

substitute the numbers for the variables in the form y=mx+b

7 0
3 years ago
The question is in the picture.
dangina [55]
<h2><u>Part A:</u></h2>

Let's denote no of seats in first row with r1 , second row with r2.....and so on.

r1=5

Since next row will have 10 additional row each time when we move to next row,

So,

r2=5+10=15

r3=15+10=25

<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>

r1=5=5+0=5+0×10=5+(1-1)×10

r2=15=5+10=5+(2-1)×10

r3=25=5+20=5+(3-1)×10

<u>So for nth row,</u>

rn=5+(n-1)×10

Since 5=r1 and 10=common difference (d)

rn=r1+(n-1)d

Since 'a' is a convention term for 1st term,

<h3><u>⇒</u><u>rn=a+(n-1)d</u></h3>

which is an explicit formula to find no of seats in any given row.

<h2><u>Part B:</u></h2>

Using above explicit formula, we can calculate no of seats in 7th row,

r7=5+(7-1)×10

r7=5+(7-1)×10 =5+6×10

r7=5+(7-1)×10 =5+6×10 =65

which is the no of seats in 7th row.

8 0
3 years ago
Solve for s.<br> -7 = 7s + 28
Zinaida [17]

Answer:

s=  -5

Step-by-step explanation:

have a good day

6 0
3 years ago
Read 2 more answers
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give
goldfiish [28.3K]

Answer:

The given line segment whose end points are A(2,2) and B(3,8).

Distance AB is given by distance formula , which is

if we have to find distance between two points (a,b) and (p,q) is

=  \sqrt{(p-a)^2+(q-b)^2}

AB= \sqrt{(3-2)^2+(8-2)^2}=\sqrt{1+36}=\sqrt{37} = 6.08 (approx)

Line segment AB is dilated by a factor of 3.5 to get New line segment CD.

Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)

Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)

CD = AB × 3.5

CD = √37× 3.5

     = 6.08 × 3.5

= 21.28 unit(approx)

2. Slope of line joining two points (p,q) and (a,b) is given by

m=\frac{q-b}{p-a}

m= \frac{8-2}{3-2}=6

As the two lines are coincident , so their slopes are equal.

Slope of line AB=Slope of line CD = 6




6 0
4 years ago
Read 2 more answers
Mae Ling earns a weekly salary of $315 plus a 6.0% commission on sales at a gift shop. How much would she make in a work week if
Radda [10]

Answer:

$561

Step-by-step explanation:

4100 x0,06=  246

246+315=561

4 0
3 years ago
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