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Helen [10]
3 years ago
15

First, Khianna must walk from the front gate to the Ferris wheel. This distance is 2.5 cm on Khianna's map. How far is the actua

l distance? map scale is 500:1
Mathematics
1 answer:
spin [16.1K]3 years ago
7 0
Okie doke. 1cm on the map equals 500 meters. The distance from the gate to the ferris wheel on the map is 2.5cm. To find the actual distance, multiply the length on the map by the distance per centimeter. 500 * 2.5 is 1,250. The actual distance is 1,250 meters.

Note: When it comes to problems like these, you must always multiply the distance on the map by the scale unit (in other words, the actual distance on how far it is per the smaller unit).
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Write an inequality for the given statement the product of -3 and a number is no more than 15
Nata [24]

Answer:

-3n ≤ 15

Step-by-step explanation:

"No more than 15" means the number can be less than 15 or equal to 15, but it can't be more than 15.

"The product of -3 and a number"  "is no more than"  "15".

                          -3n                                        ≤                 15

-3n ≤ 15

4 0
4 years ago
Pollution of the rivers in the United States has been a problem for many years. Consider the following events: a: the river is p
vampirchik [111]

Answer:

The answer is below

Step-by-step explanation:

P(A') = 1 - P(A) = 1 - 0.3 = 0.7

P(B'/A) = 1 - P(B/A) = 1 - 0.75 - 0.25

P(B/A') = 0.2, P(B'/A') = 1 - 0.2 = 0/8

P(C|A∩B) = 0.20,

P(C|A'∩B) = 0.15,

P(C|A∩B') = 0.80, and

P(C|A'∩B') = 0.90.

A) From conditional probability;

P(B/A) = P(B ∩ A) / P(A)

P(B∩A) = P(B/A) × P(A) = 0.75 × 0.3 = 0.225

P(C/A∩B) = P(A∩B∩C)/P(A∩B)

P(A∩B∩C) =  P(C/A∩B) × P(A∩B)

P(A∩B∩C) = 0.2 ×0.225 = 0.045

B) P(A∩B∩C) = P(A) × P(B/A) × P(C/A∩B)

P(B'∩C) = P(A∩(B'∩C)) + P((A'∩B')∩C)

P(B'∩C) = P(A) × P(B'/A) × P(C/A∩B') + P(A') × P(B'/A') × P(C/A'∩B')

P(B'∩C) = 0.3 × 0.25 × 0.8 + (0.7 × 0.8 × 0.9) = 0.06 + 0.504 = 0.564

C) P(C) =  P(A∩B∩C) +  P(A'∩B∩C)  +  P(A∩B'∩C) +  P(A'∩B'∩C)

P(A'∩B∩C) = P(A') × P(B/A') × P(C/A'∩B) = 0.7 × 0.2 × 0.15 = 0.021

P(A∩B'∩C) = P(A) × P(B'/A) × P(C/A∩B') =  0.3 × 0.25 × 0.8 = 0.06

P(A'∩B'∩C) = P(A') × P(B'/A') × P(C/A'∩B') = 0.7 × 0.8 × 0.9 = 0.504

P(C) =  P(A∩B∩C) +  P(A'∩B∩C)  +  P(A∩B'∩C) +  P(A'∩B'∩C) = 0.045 + 0.021 + 0.06 + 0.504 = 0.63

D) P(A/B'∩C) = P(A∩B'∩C)/P(B'∩C)

P(A/B'∩C) = 0.06 / 0.564 = 0.106

6 0
4 years ago
If 3x+y=4 then what is the value of 1/y
LUCKY_DIMON [66]

Answer this in 2 steps:

1) Solve 3x+y=4 for y:  3x+y=4 becomes 3x-3x+y=4-3x, or y = -3x + 4.

                                                                          1

2) Find the reciprocal of this result:  1/y = --------------

                                                                      -3x + 4

8 0
4 years ago
Evaluate each expression.<br> 6! =<br> 3! - 2!= 1
Lady_Fox [76]

Answer:

6!=720

3! • 2!=12

Step-by-step explanation:

We must recall that the factorial of a number n (positive or zero) is the product of all the integers from n down to 1

n!= n(n-1)(n-2)...1

Let's evaluate the given expressions

6!=6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1=720

Similarly

3!\cdot 2!=(3\cdot 2\cdot 1)\cdot (2\cdot 1)=6\cdot 2=12

Finally

\displaystyle \frac{6!}{3!}=\frac{6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}

\displaystyle \frac{6!}{3!}= \frac{720}{6}=120

3 0
3 years ago
PLEASE HELP, I'LL GIVE YOU POINTS LATER IF I FIGURE OUT HOW TO, NO LINKS OR I WILL REPORT
Masja [62]
The answer has to be 2 I think
7 0
3 years ago
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