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eimsori [14]
3 years ago
9

Suppose there are two full bowls of cookies. bowl #1 has 10 chocolate chip and 30 plain cookies, while bowl #2 has 20 of each. o

ur friend stacy picks a bowl at random, and then picks a cookie at random. we may assume there is no reason to believe stacy treats one bowl differently from another, likewise for the cookies. the cookie turns out to be a plain one. how probable is it that stacy picked it out of bowl #1?
Mathematics
1 answer:
GuDViN [60]3 years ago
4 0
Its an even probability that she picked it out of either bowl, theyre trying to trick you by saying which bowl has more plain lol.
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The dimensions of a wooden bench shaped like a rectangular prism are 6' x 3.5' x 2.5'. What is the volume of the bench in cubic
Dafna11 [192]

Answer:

Step-by-step explanation:

Volume of a rectangular prism

V=l*w*h

V=6*3.5*2.5=52.50 ft^3

8 0
3 years ago
What is the perimeter of a polygon with vertices at (−2, 1) , ​ (−2, 4) ​, (2, 7) , ​ (6, 4) ​, and (6, 1) ​?
alekssr [168]
First we need the distances of the sides of the polygon, because perimeter = sum of all sides.
d =  \sqrt{{(y2 - y1)}^{2} + {(x2 - x1)}^{2} }
d1 =  \sqrt{{(1 - 4)}^{2} + {( - 2 -  - 2)}^{2} } \\  =  \sqrt{{(- 3)}^{2} + {(0)}^{2} } =  \sqrt{9}  \: = 3
d2 = \sqrt{{(4 - 7)}^{2} + {( - 2 - 2)}^{2} } \\  = \sqrt{{(- 3)}^{2} + {( -4)}^{2} } =  \sqrt{9 + 16}  \\  =  \sqrt{25}  \: = 5
d3 \: = \sqrt{{(7 - 4)}^{2} + {(2 - 6)}^{2} } \\  =  \sqrt{{(3)}^{2} +  {( - 4)}^{2} } =  \sqrt{9 + 16}  \\  =  \sqrt{25} \:  = 5
d4 = \sqrt{{(4 - 1)}^{2} + {(6 - 6)}^{2} } \\  =  \sqrt{ {(3)}^{2} +  {(0)}^{2}  }  =  \sqrt{9} \:  = 3
d5 = \sqrt{{(1 - 1)}^{2} + {(-2 - 6)}^{2} }  \\ =  \sqrt{ {(0)}^{2} +  {( - 4)}^{2}} =  \sqrt{16}  \:  = 4
Now, we add all sides for the perimeter:
p = d1 + d2 + d3 + d4 + d5
p = 3+5+5+3+4 = 20 units





5 0
3 years ago
Read 2 more answers
A cruise ship is currently 20 kilometers away from its port and is traveling away from the port at 5 kilometers per hour . The f
Paladinen [302]

Answer:

The ship will be 37.5\ km far from its port 3.5 hours from now

Step-by-step explanation:

Hi

The function is y=5x +20 relates the number of kilometers y the ship will be from its port x hours from now, it has a form y=vt+y_{0} \ where \ y\ is\ final\ distance\\v\ is\ velocity\ in\ km/h,\ t\ is\ time\\and\ y_{0}\ is\ initial\ distance.

As the function is clearly defined, we only have to evaluate it for x=3.5, so y(3.5)=5(3.5)+20=17.5+20=37.5 \ km is the distance between the cruise ship and its port after 3.5 hours.

7 0
3 years ago
Sides that match up between two similar figures are called corresponding sides.
Naily [24]

Answer:

A. Height of the Flag pole  

B. Longest.

Explanation:

Two similar triangles have corresponding sides with the same ratio.

A smaller triangle is showing the shadow of a person and the larger one is showing the shadow of a flag.

Now the person's shadow in the smaller triangle corresponding to the Height of the Flag pole.

The longest side of the large triangle corresponds with the Longest side of the smaller triangle.

5 0
3 years ago
The population of town A is 4×104 and the population of B is 2×105. How many times greater is the population of town B than town
NARA [144]

Answer:

Town B is 1.98 times greater than town A.

Step-by-step explanation:

A= 4 times 104 = 416

B= 2 times 105 = 210

416 divided by 210 = 1.98

7 0
3 years ago
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