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Stolb23 [73]
3 years ago
13

A whale travel a distance of about 5000 miles each way at an average rate of 91 miles per day. About how many days does it take

the whales to migrate one way?
Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0
It takes about 55 days.
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how is it possible for the expected value of a game to be losing 65 cents of the only outcomes are win $2 or lose $1
Stells [14]
Let x be the probability of winning and let y be the probability of losing. Then we can write the following equation:
2x - y = -0.65 ..............(1)
the sum of the probabilities of winning and losing must equal 1.
x + y = 1............(2)
Rearranging (2), gives:
y = 1 - x ............(3)
Plugging the expression for y from (3) into (1), we get:
2x - 1 + x = -0.65
which simplifies to:
3x = 0.35
Therefore x = 0.117 and y = 0.883.
The expected value of the game will be a loss of 65 cents if the probability of winning is 0.117 and the probability of losing is 0.883.
4 0
3 years ago
Rewrite the expression using the distributive property and a common factor.
Anestetic [448]

Answer:

  • x(27 +24)  or  3x(9 +8)
  • 0.5(n +5)  or  2.5(n/5 +1)

Step-by-step explanation:

The distributive property of multiplication over addition tells us that the product of a value and a sum will be the same as the sum of products of the value and the sum's addends. This property can be used to add or remove parentheses from an arithmetic expression.

  a(b +c) = ab +ac . . . . expression of the distributive property

__

When applying the distributive property to a sum, the first step is to look for a factor common to the terms of the sum. That factor need not be the greatest common factor, though it is often useful if it is.

Below, we have written each expression using two different common factors.

<h3>a)</h3>

  27x +24x = x(27 +24) = 3x(9 +8)

__

<h3>b)</h3>

  0.5n +2.5 = 0.5(n +5) = 2.5(n/5 +1)

_____

<em>Additional comment</em>

Finding a common factor can make use of knowledge of multiplication tables, rules of exponents, and identities involving various functions used in algebraic expressions. It is sometimes useful to list the prime factors of each of the terms as an aid to finding a common one. Where fractions are involved, it is sometimes helpful to express them all using a common denominator.

The Euclidean Algorithm can also be useful for finding common factors.

3 0
2 years ago
Advertising A bank manager wants to encourage new customers to open accounts with principals of
schepotkina [342]

Answer:

The poster say, "Open an account of ​$3,500 and earn at least ​$10 interest in 1​ month!" is correct

Step-by-step explanation:

Given, A bank manager wants to encourage new customers to open accounts with principals of at least  $3,500.  

He decides to make a poster advertising a simple interest rate of 4.8%.  

We have to find what must the principal be if the bank manager also wants to advertise that one can earn  $10 the first month

We know that, banks offer simple interest  

In our problem, simple interest = $10, rate = 4.8%, time = 1 month

Let us see Can the poster correctly say, "Open an account of $3,500 and earn at least $10 interest in 1 month!"?

So now, in our problem, amount = $3500, rate = 4.8% and time = 1 month =

So, the statement is correct.

Hence, amount to be invested is $2500 and poster says correctly.

5 0
3 years ago
Let a and b be rational numbers, and let b be non-zero. Is ​a/b rational or irrational?
Akimi4 [234]

It actually depends on a.

A might be rational.

7 0
3 years ago
Read 2 more answers
What is a correct congruence statement for the triangles shown?
Ludmilka [50]
ZR=AY, RL=YH, L equals H, Z equals A , ah =zl,
6 0
3 years ago
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