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strojnjashka [21]
2 years ago
10

. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are

Mathematics
1 answer:
nalin [4]2 years ago
6 0

Answer: B

Explanation:  

32 marbles in total.

18 red marbles

4 blue marbles

10 green marbles.

You are asked what part of Osteen's marbles are red?

Probability = number of possible outcomes/total number of out outcomes.

P(Red) = 18/32 = 9/16

Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.

P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.

P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.

Hope this elaborate explanation helps.

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A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone
monitta

Answer:

a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%

b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%

Step-by-step explanation:

We have to find

a) P(X>40)= 1- P(x=40)

Using the z statistic

Here

x= 40 mph

u= 44mph

σ= 3 mph

z=(40-44)/3=-1.33

From the  z-table   -1.67 = 0.9082

a) P(X>40)=

Probability exceeding the speed limit = 0.9082 = 90.82%

b) P(50<X<55)

Now

z1 = (50-44)/3 = 2

z2 = (55-44)/3= 3.67

Area for z>3.59 is almost equal to 1

From the z- table we get

P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)

     = P(2 < z < 3.67)

     = P(z<3.67) - P(z<2)

     = 1 - 0.9772

     = 0.0228

or 2.28%

3 0
3 years ago
Hellen is using 3.508 grams of copper for her science experiment. How many kilograms of copper did Hellen use for her science ex
mash [69]

Answer:

.003508 kg of copper

Step-by-step explanation:

1000 grams = 1 kg

3.508 g/1000 g = .003508 kg

7 0
3 years ago
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zhenek [66]

Answer:

At the bottom!!

Step-by-step explanation:

y=2

2=0+x

x=2

Solution of a system of equations:A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. ... The solution to the system will be in the point where the two lines intersect.

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sashaice [31]

Answer:

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Step-by-step explanation:

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multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Therefore, If it is wider it has more space to carry more items such as macaroni.

I hope this helps! (:

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3 years ago
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Answer:

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