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Reptile [31]
3 years ago
7

two men start from 2 places 600km apart and travel towards each other, the first travelling 5km/h faster than the other. they me

et after 8 hours. what is the speed of the fastest man? I know that this relates to the following formula; speed = distance/time, but don't understand how to resolve correctly
Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0
If they meet after 8 hours, then the sum of their average speeds is 600/8=75 km per hour.  If one is 5 km per hour faster than the other, then if we set the speed of the slower man to x, we have:

2x+5=75

So:

2x=70

x=30

The fastest man is 5 km per hour faster than the slower, so he travels 35 km per hour.
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Gillian and her friends are playing a card game using a standard deck, but without the aces. In the deck, there are 36 numbered
Nostrana [21]

Answer:

30

Step-by-step explanation:

To find the best prediction for the amount of numbered cards that will be drawn during the game, first find the probability of drawing a numbered card. There are 36 numbered cards and 48 total cards. So, the probability of drawing a numbered card is  or .

Now, multiply the probability by the number of times a card will be drawn from the deck. Since there are 10 rounds and 4 players, a card will be drawn from the deck 10 × 4, or 40, times. So, multiply  by 40.

Therefore, the best prediction for the amount of numbered cards that will be drawn during the game is 30.

3 0
2 years ago
The formula for the standard deviation of a sample is:
timofeeve [1]

Answer:

d. The variance is 9.56 and the standard deviation is 3.09.

Step-by-step explanation:

From the above question, we are given the following data set.

3, 7, 8, 8, 8, 9, 10, 10, 13, 14

a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10

= 90/10

= 9

b) Variance

The formula for sample Variance = (Mean - x)²/ n - 1

Mean = 9

n = 10

Sample Variance =

(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1

= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9

= 86/9

= 9.555555556

≈ Approximately 9.56

Variance = 9.56

Sample Standard deviation = √Sample Variance

= √9.56

= 3.0919249667

≈ Approximately 3.09

5 0
3 years ago
Jasmine bought 32 kiwi fruit for $16. IfJasmine has $4, how many kiwi can shebuy?
Sav [38]

Answer:

8 kiwis

Step-by-step explanation:

(÷4)32=$16(÷4)

8 =$4

hope this helps

7 0
2 years ago
Find the perimeter of OQR if OQ=6.5.<br> A.<br> 6.1<br> B.<br> 12.2<br> C.<br> 13<br> D.<br> 19.1
Svetach [21]

ANSWER


The correct answer is 19.1


EXPLANATION


The perimeter of triangle OQR is the sum of the distance around the triangle.



Thus,


Perimeter=|OQ|+|OR|+|RQ|



We can observe that two of the angles are equal.



The angles that are equal measures 62° each.



Therefore triangle OQR is an isosceles triangle. This means that



|OQ|=6.5=|OR|



Hence,



Perimeter=6.5+6.5+6.1




Perimeter=19.1 units.


3 0
2 years ago
Read 2 more answers
What is 40 percent of 35
Murrr4er [49]
Hey there!

You can figure this out by making 40% into a decimal. This decimal would be .4. So multiply 35 by .4. You get 14. So 14 is 40 percent of 35.

I hope this helps!
3 0
3 years ago
Read 2 more answers
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