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Vikentia [17]
3 years ago
12

Which percent is equivalent to 2 and StartFraction 5 over 6 EndFraction?

Mathematics
2 answers:
marysya [2.9K]3 years ago
7 0

Answer:

283%

Step-by-step explanation:

:))))

Nataly_w [17]3 years ago
3 0

Answer:

Which ever choice is 283% works.

Step-by-step explanation:

2 5/6= 2.83= 283%

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An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do
vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107

Then,

P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007

c) In this case, the distribution is B(1200,0.01)

P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366

5 0
3 years ago
Use the Pythagorean Theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle
kakasveta [241]

The Pythagorean theorem states that the square of the hypotenuse is equal to  the sum of the squares of the legs:

c^2=a^2+b^2.

The hypotenuse is the side with the greatest length.

Check all options:

1. c=5, a=3, b=4:

5^2=25,\\3^2+4^2=9+16=25,\\5^2=3^2+4^2 true.

2. c=14, a=4, b=11:

14^2=196,\\4^2+11^2=16+121=137,\\14^2\neq 4^2+11^2 false.

3. c=17, a=9, b=14:

17^2=289,\\9^2+14^2=81+196=277,\\17^2\neq 9^2+14^2 false.

4. c=16, a=8, b=14:

16^2=256,\\8^2+14^2=64+196=260,\\16^2\neq 8^2+14^2 false.

5. c=17, a=8, b=15:

17^2=289,\\8^2+15^2=64+225=289,\\17^2=8^2+15^2 true.

Answer: correct options are A and E.

4 0
3 years ago
Read 2 more answers
Give the proportion a/b = c/d<br> Solve for c
dybincka [34]

Answer:

the answer is c = (ad)/b

Step-by-step explanation:

See the picture

5 0
3 years ago
The scatterplot shows the relationship between the number of calories and the number of grams of fat in food items at a fast-foo
docker41 [41]

Answer: 550 calories

6 0
2 years ago
The radius of the bull’s-eye of the dartboard is 8 inches. The radius of each concentric circle is 8 inches more than the radius
UNO [17]

Answer with Step-by-step explanation:

The radius of the bull’s-eye of the dartboard is 8 inches.

The radius of each concentric circle is 8 inches more than the radius of the circle inside it.

Radius of first circle=8 in.

Radius of second circle=16 in.

Radius of third circle=24 in.

Radius of fourth circle=32 in.

Area of C=Area of the third circle-Area of second circle

                     = π×24×24-π×16×16

                   = 320π sq. in.

Total area of dartboard=Area of fourth circle=π×32×32

                                                            =1024π sq. in.

P( the dart will hit in area C)= area of c/total area of dart board

                                             =320π/1024π

                                           =  5/16

Hence, correct option is:

B.5/16

5 0
3 years ago
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