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stiv31 [10]
2 years ago
9

A motor racing circuit has length 5 5/6 miles. A straight section of the circuit has 1 1/4 miles. What fraction of the circuit i

s the straight section? Give the answer in its simplest form
Mathematics
1 answer:
aleksklad [387]2 years ago
4 0

Answer:

3/14

Step-by-step explanation:

1 1/4 can be written as 5/4

5 5/6 can be written as 35/6

so divide (5/4)/(35/6)

= (5/4)*(6/35)

=(1/4)*(6/7)

=6/28

simplified = 3/14

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Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be th
sesenic [268]

Answer:

The probability that the dogs are blue eyed and deaf is 13.02%.

Step-by-step explanation:

We are given the following information in the question:

P(Blue eyes) = 31%

P(Deaf) = 38%

P(Deaf | Blue eyes) = 42%

Formula for conditional probability:

P( A|B) = \displaystyle\frac{P(A \cap B)}{P(B)}

Now, let A be the event where the dog is deaf and B be the the event where dog is blue eyed.

P( \text{ Deaf}|\text{Blue eyes}) = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{P(\text{Blue eyes})}\\\\0.42 = \displaystyle\frac{P( \text{Deaf} \cap \text{Blue eyes})}{0.31}\\\\P( \text{Deaf} \cap \text{Blue eyes}) = 0.42\times 0.31 = 0.1302 = 13.02\%

Hence, the probability that the dogs are blue eyed and deaf is 13.02%.

6 0
3 years ago
Colton left his house for work and was gone 5 hours. He spent a total of } hour driving to and from work and didn't go anywhere
Solnce55 [7]

Answer:

4\frac{3}{4}  hours

Step-by-step explanation:

he was gone for 5 \frac{1}{4} hours, he spent \frac{1}{2} an hour driving.

5 \frac{1}{4} - \frac{1}{2} = 4\frac{3}{4} hours at  work.

6 0
2 years ago
The domain for variables x and y is the set {1, 2, 3}. The table below gives the values of P(x, y) for every pair of elements fr
Olin [163]

Answer:

Option B and C are correct answers.

Step-by-step explanation:

Option B and C are the correct options.

Option a is true since row 1 has all T.

so for X=1, P(x,y) is true for all y.

Option b is false since no column has all F.

Option C is false since no column has all F.

Option D is true since 1st row has all T.

hence option B and C are correct answers.

7 0
3 years ago
Which equation does the graph of the systems of equations solve? 2 linear graphs. They intersect at 1,4
Pepsi [2]

Answer:

See below.

Step-by-step explanation:

There is an infinite n umber of systems of equations that has (1, 4) as its solution. Are you given choices? Try x = 1 and y = 4 in each equation of the choices. The set of two equations that are true when those values of x and y are used is the answer.

6 0
2 years ago
What is 0.123 rounded to the nearest tenth
Vikentia [17]
0.123\\\\digit\ in\ the\ tenths\ place\ is\ \boxed1

<em>If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).</em>


<em>If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down (no change).</em>

0.\underline{1}23\approx\boxed{0.1}

3 0
3 years ago
Read 2 more answers
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