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Arte-miy333 [17]
3 years ago
14

Patrick needs to walk from his cabin to the fire pit. He can walk directly from his cabin to the fire pit or walk to the dock th

en to the fire pit. Which path is the shorter route? Justify your response
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0

Answer:

he can walk directily to the fire pit

Step-by-step explanation:

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Sports Feet is having a sale on the Rebound basketball shoe. The shoe comes in four different colors (black, red, white, or gold
koban [17]
8 different styles
4x2=8 
If you want to answer future questions like this then you multiply the numbers of the items.
8 0
3 years ago
Modeling the number of transport bus breakdowns in every month to determine if an additional bus should be purchased. The runnin
skelet666 [1.2K]

Answer:

The probability of exactly 2 breakdowns next month = 0.08422

Step-by-step explanation:

To calculate the probability of exactly 2 breakdowns next month, we use Poisson distribution formula.

P(X = x) = (e^-λ)(λˣ)/x!

Mean = λ = 5 breakdowns per month

x = 2 breakdowns per month

P(X = 2) = (e⁻⁵)(5²)/2!

P(X = 2) = 0.08422

6 0
3 years ago
If f(x) = 3^(x + 4), find f(2).<br><br> A. 729<br> B. 243<br> C. 81<br> D. 18
Umnica [9.8K]

Answer:

f(2) = 729

Step-by-step explanation:

f(x) = 3^(x + 4)

Let x =2

f(2) = 3^(2 + 4)

f(2) = 3^(6)

f(2) = 729

4 0
3 years ago
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
ch4aika [34]

Answer: -258

<u>Step-by-step explanation:</u>

Given the sequence {-8, 16, -32, 64, ... , a₇} we know the following

  • the first term (a₁) = -8
  • the common ratio (r) = -2
  • the number of terms (n) = 7

Input the information above into the Sum formula:

S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\S_7=\dfrac{-8(1-(-2)^7)}{1-(-2)}\\\\.\quad =\dfrac{-8(1-(-128))}{1+3}\\\\.\quad =\dfrac{-8(129)}{4}\\\\.\quad =-2(129)\\\\.\quad =-258

3 0
3 years ago
Read 2 more answers
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