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mojhsa [17]
3 years ago
12

On a map, Maya uses a ruler to find the approximate distance between her town and Los Angeles. The distance on the map is 25 cm.

Maya knows the distance between her town and Los Angeles is about 2050 km. What is the scale of the map?
Mathematics
2 answers:
NISA [10]3 years ago
8 0

Answer:

1 cm : 82km

Step-by-step explanation:

Now

1km = 1000 X 100 cm

Therefore

2050km = 2050 X 1000 X 100cm

2050km = 205,000,000 cm

25cm rep 205,000,000 cm

1cm rep 205,000,000/25 cm

1cm rep 8,200,000cm

8,200,000= 8,200,000÷(100,000)km

=82km

Therefore: 1cm represents 82km

An alternate approach is to divide directly

25cm rep 2050 km

1cm represents 2050/25km

1cm: 82km

The scale is 1 cm : 82km

zlopas [31]3 years ago
7 0

Answer:

Scale of the Map = 1 cm to 82 Km

Step-by-step explanation:

25cm is equivalent to 2050Km

Hence 1cm will be equivalent to 2050/25 = 82Km

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Suppose a NBA basketball player has 5% chance of picking up a foul every minute he plays. What is the probability that he will p
alukav5142 [94]

Answer:

He wont foul out with probability 0.9093

Step-by-step explanation:

The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.

Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus

P(X \leq 4) = P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4) \\= 0.95^{48}+48*0.95^{47}*0.05+{48 \choose 2}*0.95^{46}*0.05^2+\\{48 \choose 3}*0.95^{45}*0.05^3+{48 \choose 4}*0.95^{44}*0.05^4 \\= 0.085+0.215+0.266+0.215+0.127 = 0.9093

As a consecuence, he wont foul out with probability 0.9093.

8 0
3 years ago
Area: Trapezoids, Rhombuses, Kites. It says perimeter but I just need the Area please
user100 [1]
Area: Trapezoids A = ½h(b1<span> + b</span>2<span>)
</span>Rhombuses A=pq/2
Kites A=pq/2
6 0
3 years ago
What is the converse of the conditional statement?
Svetach [21]

Answer:

  If x + 1 is odd, then x is even.

Step-by-step explanation:

The converse of the statement ...

  if P, then Q.

is ...

  if Q, then P.

Here, we have P="x is even" and Q="x+1 is odd". The converse statement is ...

  if x+1 is odd, then x is even.

7 0
3 years ago
One cubic meter of water weighs approximately 2200 pounds. There are 100 cm in one meter. If you have a box-shaped fish tank tha
Diano4ka-milaya [45]

Answer:

158.4 pounds

Step-by-step explanation:

first find the volume of the tank

V = 30 \times 30 \times 80

V = 72000 cm^3

to convert this to m^3 we know that 1m = 100cm

V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3

V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}^3}{100^3\,\text{cm}^3}\right)

the cm^3 cancel out.

V = \dfrac{72000}{100^3} m^3

V = 0.072\,m^3

by simply converting the side-lengths to meters beforehand can give you this answer directly:

V = 0.3 \times 0.3 \times 0.8 = 0.072 m^3

it is given that 1 meter cube of water weighs about 2200 pounds.

1\,m^3 = 2200 \,\text{lb}

multiply both sides with 0.072 to find our answer:

1\,m^3 \times 0.072 = 2200 \times 0.072 \,\text{lb}

0.072\,m^3 = 158.4 \,\text{lb}

hence the weight of the water in the tank would be 158.4 pounds!

3 0
3 years ago
Two more than a certain number is 15 less than twice the number. Find the number
Svetllana [295]
2+x=2x-15
>> 2+15=2x-x
>> 17 = x

So the answer is <u>17</u>
6 0
3 years ago
Read 2 more answers
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