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snow_lady [41]
3 years ago
13

10. Duck Mountain Provincial Park is on the boundary of Saskatchewan

Mathematics
1 answer:
Ksju [112]3 years ago
3 0

Average speed is 18.6 kilometer per hour

<u><em>Solution:</em></u>

Given that,

To visit the sites, Nathan's family drove 6.8 km, 9.8 km,  20.3 km, and 46.8 km

They drove for 4.5 hour

To find: average speed

<em><u>The average speed is given by formula:</u></em>

\text{ Average speed } = \frac{\text{ total distance }}{\text{ total time taken }}

Here, total distance = 6.8 + 9.8 + 20.3 + 46.8 = 83.7 km

Total time taken = 4.5 hour

<em><u>Substituting the values in formula,</u></em>

\text{ Average speed } = \frac{83.7}{4.5} = 18.6

Thus average speed is 18.6 kilometer per hour

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Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a
aev [14]

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = \frac{12}{52}

Probability of getting a other card = \frac{40}{52}

So,

Expected value, E[x] = ∑ x p(x)

                                  = (16)(\frac{12}{52}) + (3)(\frac{40}{52})

                                  = \frac{192}{52} + \frac{120}{52}

                                  = \frac{312}{52}

                                  = 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

4 0
3 years ago
A ratio is in its simplest form 7:9.<br>if its consequent is 117, find the antecedent​
a_sh-v [17]

Answer:

Let the income and saving rs7x and respectively 2x

then

2x=500

Step-by-step explanation:

3 0
3 years ago
Emilio works for the parks department of West Palm City. He tracked how many emails the
MissTica

Answer:

The answer is 50%.

Step-by-step explanation:

I did the question on IXL, and got it right.

3 0
3 years ago
How many triangles can be formed
Nastasia [14]

Answer:

B. One

Step-by-step explanation:

Since the two angles are already given, the value of the third angle is already fixed. The third angle can be found by the sum of both angles subtracted from 180. Since 2 angles and lengths are already given, there can only be 1 triangle.

Hope this helps!

If not, I am sorry.

6 0
2 years ago
Enter the degree of the polynomial below.<br> 5,5 + 8,2 + 2x - 319 - 8x1 -4,5
Stolb23 [73]

Based on the given polynomial, the degree of the polynomial can be calculated to be 1.

<h3>what is the degree of the polynomial?</h3>

the degree of the polynomial is defined as the highest exponential degree or power in a polynomial.

from the above, we see that the highest power is 1 from 8x¹.

the degree of the polynomial is therefore 1.

find out more on the degree of the polynomial at brainly.com/question/2263735.

#SPJ1

5 0
2 years ago
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