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xenn [34]
3 years ago
13

Zoey took 2.5 hours to bike the 60 km from her house to the beach. It took her 3.5 hours to bike the same distance back to her h

ouse. What was Zoey's average speed? Enter your answer into the box.
Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0

Answer:

  20 km/h

Step-by-step explanation:

Zoey rode a total of 120 km (there and back) in a total time of 6 hours (=2.5+3.5). Her average speed is given by ...

   speed = distance/time = (120 km)/(6 h) = 20 km/h

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La oración 3+ (5 + 2) = (5 + 2) +3 muestra qué propiedad?
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The expression represents commutative property of addition

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3 years ago
REALLY NEED HELP:  The Venn Diagram shows a universe with 26 elements and two different outcomes: B and Y
Goshia [24]

Answer:

P(B|Y)=0.4

Step-by-step explanation:

We are given with a Venn diagram of a universe with 26 elements and two different outcomes: B and Y

And we are asked to find P(B|Y)

The formula for P(B|Y)= \frac{P(B\cap Y)}{P(Y)}

From Venn diagram, P(B\cap Y)=\frac{n(B\cap Y)}{26} =\frac{8}{26} =\frac{4}{13}

And P(Y)=\frac{n(Y)}{26}=\frac{8+12}{26}= \frac{20}{26}= \frac{10}{13}

Hence P(B|Y)=\frac{(\frac{4}{13})}{\frac{10}{13}} =\frac{4}{10}=0.4

6 0
3 years ago
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23. What does the term expense mean?
katovenus [111]

Answer and  explanation :

  • Expense is defined as the cost to run a business.
  • It can be separated into various categories of day to day expense and one time expense.
  • Some expenses are charged regularly as such for daily business, like normal canteen expense, electricity, stationary, etc:
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5 0
3 years ago
How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
fenix001 [56]

Answer:

120

Step-by-step explanation:

Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

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Now we can use the permutation formula:

_{n}P_{k}=\dfrac{n!}{(n-k)!}

_{6}P_{3}=\dfrac{6!}{6-3)!}

_{6}P_{3}=\dfrac{6!}{3!}

_{6}P_{3}=\dfrac{6*5*4*3*2*1}{3*2*1}

The 3*2*1 cancels out and leaves us with:

_{6}P_{3}=6*5*4

_{6}P_{3}=120

So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.

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3 years ago
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How to write four hundred two million seventy-three thousand one hundred eighty in standard form
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Four hundred two million seventy-three thousand one hundred eighty in standard form: 402,073,180 would be your answer
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