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Olegator [25]
3 years ago
12

Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15

minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make?
Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer: she needs to beat 8.8 ft /sec which is 0.001667miles/sec and after 15mins,she ran 0.00161miles/sec.

Step-by-step explanation:

1ft = 0.0001893939 miles

8.8ft= 0.001667

That means she needs to beat 0.001667 miles/sec time.

In 15mins, her average was 5.8miles/hr.

That means for 15mins,she ran 0.00161/sec.

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If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct charac
mezya [45]

There are \binom{52}4 ways of drawing a 4-card hand, where

\dbinom nk = \dfrac{n!}{k!(n-k)!}

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are \binom{13}4 ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are \binom41 ways of picking a card of any given value. We draw 4 cards from the deck, so there are \binom41^4 possible hands in which each card has a different value.

Then there are \binom{13}4 \binom41^4 total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761

4 0
2 years ago
Adam exchanged British pounds for Swiss franc He changed £400 into 592 francs What was the exchange rate of British pounds to Sw
OLEGan [10]

Answer: 1 : 1.48

Step-by-step explanation:

Adam was able to change £400 into 592 francs which means that the British pound is stronger because it was able to buy more Swiss francs.

The exchange rate can be gotten using direct proportion:

400 : 592

1       : x

Cross multiply:

400x = 592

x = 592/400

x = 1.48

Exchange rate is:

= 1 : 1.48

5 0
3 years ago
The librarian purchased 22 copies of a best-selling book for $385.66.
adell [148]

Answer:

$17.53

Step-by-step explanation:

You know the total price of 22 copies was $365.66. To find the price of one copy, you divide 365.66 by 22 to get $17.53 per copy.

7 0
3 years ago
Please help !!! Due instant
Vinvika [58]
I believe the range is 25.
4 0
3 years ago
What is Y squared plus 5Y plus 2Y squared minus 4Y
Oksana_A [137]
Y^2 + 5Y + 2Y^2 - 4Y= ?

add up the like terms
(Y^2 + 2Y^2) + (5Y - 4Y)=

=3Y^2 + 3Y
7 0
4 years ago
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