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lubasha [3.4K]
3 years ago
14

Jim's backyard is a rectangle that is 16 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards long

and 1 1/3 yards wide. How many whole pieces of sod will Jim need to buy to cover with sod?
Mathematics
1 answer:
lora16 [44]3 years ago
6 0

Answer:

93 pieces

Step-by-step explanation:

To cover his backyard with sod, he needs to cover the area of the backyard.

His backyard is a rectangle, and area of a rectangle is given as:

Where,

is the length, and

is the width

So, the area of Jim's backyard is square yards.

The area of each sods are solved using the area of the rectangle formula. So we have square yards as the area of each sod.

To find HOW MANY of these sods we would need to cover the whole backyard, we divide the backyard area by each sod area:

Since, fractional sods can't be bought, Jim has to buy 93 sods to cover his backyard.

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Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, connuing un
jonny [76]

Answer:

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

Step-by-step explanation:

It is said that Actuary Rahul examines a low risk policy

Probability of a low risk policy having a claim = 10% = 0.1

Actuary Toby examines high risk policy

Probability of a high risk policy having a claim = 20% = 0.2

Let the number of policies examined by actuary Rahul before he finds a claim and stop be n

Probability that actuary Rahul examines exactly n policies =  0.9^{n-1} (0.1)

Probability that Toby examines more than n policies = 0.8^n

Since the claim statuses of policies are mutually independent, the probability that both events happen simultaneously = 0.9^{n-1} (0.1) (0.8)^n

probability that both events happen simultaneously = \frac{0.1}{0.9} (0.72^{n})

The probability that Actuary Rahul examines fewer policies that Actuary Toby = \sum\limits^ \infty_1 {\frac{0.1}{0.9} 0.72^{n} } = \frac{1}{9}\sum\limits^ \infty_1 { 0.72^{n} } = \frac{1}{9} (\frac{0.72}{1-0.72} ) = \frac{1}{9} (\frac{0.72}{0.28} )

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

5 0
3 years ago
GIVING BRAINLIEST TO WHOEVER HAS A GOOD EXPLANATION AND ANSWER
Katyanochek1 [597]

Answer:

-1/5>-10/4

Step-by-step explanation:

In the negatives, If you take away the negative the lower number is more.

Think about a number line, if you are at -1/5, it means that you are 1/5 away from 0. If you are at -10/4, It means that you are 10,4 away from 0.

In conclusion, -1/5>-10/4

pls mark Brainliest

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2 years ago
The sum of Bobbi's and Dan's heights is 130 inches. Dan's height subtracted from 3 times Bobbi's height is 118 inches. What are
Xelga [282]

Answer:

Dan = 68

bobbi = 62

Step-by-step explanation:

Let Bobbi's height = b

Let Dan's height = d

the following equations can be determined from the question

b + d = 130  eqn 1

3b - d = 118  eqn 2

Multiply eqn 1 by 3

3b + 3d = 390  eqn 3

Substract eqn 2 from 3. this gives

4d = 272

d = 68

Substitute for d in eqn 1

b + 68 = 130

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2 years ago
In Exercise, simplify the expression. <br> eln(2x+1)
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Answer:

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Step-by-step explanation:

We are given the following in the question:

e^{ln(2x+1)}

We have to simplify this expression.

The logarithmic function is the inverse of the exponential function. Thus, we can write

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1) Around $0.11

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