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iVinArrow [24]
3 years ago
9

To get the other side of the lake,one can drive around it on lake road, go over the bridge or ride the ferry.how many different

ways can one go across the lake and back?
Mathematics
1 answer:
professor190 [17]3 years ago
3 0
1.road, road
2.road,bridge
3.road,ferry
4.bridge,bridge
5.bridge,road
6.bridge,ferry
7.ferry,bridge
8.ferry,road
9.ferry,ferry
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the ratio of pine trees to elm trees in a park is 7:11. How many pine trees are there in the park if there are 68 more elm trees
Hitman42 [59]

Answer:

<em>The number of </em><em>pine tree is 119</em><em> and the number of </em><em>elm tree is 187.</em>

Step-by-step explanation:

The ratio of pine trees to elm trees in a park is 7:11

Let us assume that the number of pine tree is 7x and the number of elm tree is 11x.

It is also given that, there are 68 more elm trees as compared to the pine trees.

i.e 11x=7x+68

\Rightarrow 11x-7x=68

\Rightarrow 4x=68

\Rightarrow x=17

Hence, the number of pine tree = 7x=7\times 17=119 and the number of elm tree = 11x=11\times 17=187

8 0
3 years ago
Suppose the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average
arsen [322]

Answer:

0.5372

Step-by-step explanation:

Given that the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average birth rate of 1.8 births per hour.

Let X be the no of births in the hospital per hour

X is Poisson

with mean = 1.8

the probability of observing at least two births in a given hour at the hospital

= P(X\geq 2)\\= 1-F(1)\\= 1-0.4628\\= 0.5372

the probability of observing at least two births in a given hour at the hospital = 0.5372

4 0
3 years ago
29 — 6x=5(1 – 6x)<br> Please show me the steps
Lady bird [3.3K]

Answer:

x= -1

Step-by-step explanation:

<u><em>START</em></u> 29 - 6x = 5(1 - 6x)

1.  Distribute

29 - 6x = 5 - 30x

2. Isolate the variable

~ <u>2a</u>. Add 30x to both sides

29 - 6x + 30x = 5 - 30x + 30x

~ <u>2b</u>. Subtract 29 from both sides

29 - 29 - 6x + 30x = 5 - 29 - 30x + 30x

3. Simplify

24x = -24

4. Solve

x = -1

<em><u>END</u></em>

5 0
3 years ago
5x<br> 3.<br> +<br> 4x2-9<br> 2x+1<br> 2x2+x-3
irakobra [83]

Answer:

~Re-write the equation~

SOLVE:

5x(3)+4x (2-9)+(2x+1)+(2x2+x-3)

5(1)(3)=15

4(2-9)=8+36=44

2x+1=3

2x2+x-3:4(1)-3=1

15+44+3+1

ANSWER=63x

Step-by-step explanation:

I wasn't quite sure because of the way you wrote it but here's an answer!

7 0
2 years ago
In the year 2000, the United States had about 100,300,000 people registered to use cellular phones. How would this number of peo
kkurt [141]

Answer:

1.003 * 10^8

Step-by-step explanation:

Given that :

The United States has about 100,300,000 registered to use cellular phones in the year 2000

100,300,000 in scientific notation:

(100,000,000) + (300,000)

(1 * 10^8) + (3 * 10^5)

To ensure equal power :

300,000 = 3 * 10^5 = 0.003 * 10^8

Hence,

(1 * 10^8) + (0.003 * 10^8)

(1 + 0.003) * 10^8

1.003 * 10^8

8 0
3 years ago
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