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Tomtit [17]
3 years ago
15

Two numbers are randomly selected from integers 1 through 9. What is the probability that only one of the integers is odd given

that the sum of the two numbers is odd?
1/4

1

40/81

5/40
Mathematics
1 answer:
Stells [14]3 years ago
4 0

Another one where there's a danger of overthinking it !

The sum of ANY two integers is odd only if one is even and one is odd.

If they're both odd OR both even, then their sum is even.

So if their sum is odd, then one is odd and the other is even.

The probability is ' 1 ' (100%) .

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Find the point P on the line yequals=66x that is closest to the point (74 comma 0 )(74,0). What is the least distance between P
tekilochka [14]

Answer:

The point P that is closest to the point (74, 0) is P(7.4, 22.2), and the least distance between P and (74, 0) is 70.2

Step-by-step explanation:

Given

y = 66x

And a point A(74, 0)

We are required to find the point on the line that is closest to A, and then find the distance between these points.

Let the point be P(s, t)

Because it's coordinate satisfies the given equation

y = 3x

Let t = 3s, then we have

p(s, t) = P(s, 3s)

Next, we find the distance between P and A

Let the distance be

D = √[(x1 - y1)² + (x2 - y2)²]

Here x1 = 74, x2 = 0, y1 = s, y2 = 3s.

D = √[(74 - s)² + (0 - 3s)²]

= √(s² - 148s + 5476 + 9s²)

= √(10s² - 148s + 5479)

To maximize the distance, we find the derivative of D with respect to s, and set it to 0.

That is dD/ds = 0

dD/ds =

(20s - 148)/2√(10s² - 148s 5479) = 0

=> 20s - 148 = 0

20s = 148

s = 148/20

s = 7.4

Since t = 3s, we have

t = 22.2

So, the point is P(7.4, 22.2)

Finally, we find the distance D.

D = √[(74 - s)² + (0 - 3s)²]

D = √[(74 - 7.4)² + (0 - 3×7.4)²]

D = √(4435.56 + 492.84)

= √4928.4

D = 70.2

Therefore, the distance is 70.2

4 0
3 years ago
Genie is a dental hygienist. She has 15 boxes of mint dental floss that have 16.4
HACTEHA [7]

Answer:

789.4 tards of dental floss

Step-by-step explanation:

multiply 11 by 49.4 which gives you 543.4 then multiply 15 by 16.4 then add up your answers and then you have your correct answer.

5 0
3 years ago
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Plssssss helpppp meeeeee
Vlada [557]

Answer:

A

Step-by-step explanation:

5-2 = 1/52 = 1/25 = 0.04

6 0
3 years ago
Read 2 more answers
40 pounds of dog food cost $50 how much would 35 pounds of dog food cost
astraxan [27]
50:40=x:35
5/4=x/35
times both sides by (4*35)
5*35=4x
175=4x
divide both sides by 4
43.75=x

costs $43.75
3 0
3 years ago
Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups of sugar that Recipe B call
rewona [7]

Answer:

morgan dropped the sugar and has to go to the store to get more skip the question.

4 0
3 years ago
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