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Pie
3 years ago
11

A bag has 1 red marble, 4 blue marbles, and 3 green marbles, Peter draws a marble randomly from the bag, replaces it, and then d

raws another marble randomly
What is the probability of drawing 2 blue marbles in a row? Explain your answer
Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

1/4

Step-by-step explanation:

There is a total of 1+4+3 marbles = 8 marbles

P( blue ) = blue /total = 4/8 = 1/2

He replaces it

There are still 8 marbles in the bag

P(blue 2nd draw) =  blue /total = 4/8 = 1/2

P(blue,replace, blue) = 1/2*1/2 = 1/4

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A circular garden has a circumference of 63 yards. Lars Is digging a straight line along a diameter of the garden at a rate of 5
k0ka [10]

Answer:

4 hours

Step-by-step explanation:

f the circumference of the circular garden =63 yards

Circumference of a Circle =2πr=πd (d=diameter)

Therefore:

πd= 63

diameter of the circular garden =63/3.14=20 yards

If he digs at a rate of 5 yards per hour, the time required to dig across the garden will be:

20 yards/5 yard per hours = 4 hours

It will take him 4 hours to dig across the circular garden.

7 0
2 years ago
1. Find the surface area of the square pyramid shown below?
Igoryamba

Answer:

1. 40.00 sq units

2. 37.5 sq units

Step-by-step explanation:

1. Given slant height as 3 and the square base side as 4,

-The surface area of a right squared pyramid is calculated by summing the areas of the 4 triangles and the square base:

Area=Area \ Triangles+Base  \ Area\\\\=4(\frac{1}{2}bh)+s^2\\\\=4(0.5\times 4\times 3)+4^2\\\\=24+16\\\\=40

Hence, the area of the square pyramid is 40.00 sq units

2. The surface area of a cube is equivalent to 6 times the side of one face.

-Given the dimension of the sides as 2.5, surface area is obtained as:

A=6s^2\\\\=6(2.5\times2.5)\\\\=37.5

Hence, the surface area of the cube is 37.5 sq units

8 0
3 years ago
Read 2 more answers
Evaluate the expression
Alecsey [184]
I am pretty sure it is 30. Hope it helps!!

3 0
3 years ago
Read 2 more answers
X+3y=5<br> -2x-6y=-10<br><br> Solve using elimination
RSB [31]
Slimination
multiply first equaiton by 2
2x+6y=10
add to second equiaotn
2x-2x+6y-6y=10-10
0=0
this is true so therfor they are the same equaiton

so solve
x+3y=5
3y=-x+5
y=-1/3x+5/3

subsituter values for x and get valuse for y

if x=2 then y=1
3 0
3 years ago
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of
Sauron [17]

Given: in the previous year, the table shows the prices of various amount of maize bushels in the same store.

A diagram displays the number of x-axis bussels and the price of maize in y axis dollars for 2012.

Search: The rate of change in this year's maize bushel, Part B: How many dollars is the present year's price of a maize bushel higher than in the previous year's maize bushel

Finding:

Earlier Year Panel

Bushel Number Corn prices

Shift rate of the previous year's maize bushel = (20-10)/(4 – 2) = = 10/2 = 5 Graph 2, 14, 4, 28, 6, 42 and 8, 56 and 10, 70, and 12, 84 Current year This year's rate of adjustment of the maize bushel, = (28 - 14)/(4 -2) = 14/2 = 7 7 - 5= 2 USD is more than the price of the maize bushel in the current year than the pre-year price of the maize bushel.

3 0
3 years ago
Read 2 more answers
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