Factor 10x2 − 17x + 3.
1 answer:
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Answer:
1)Diagram attached
2)8424
3)1404
4)1569
Step-by-step explanation:
1)
Diagram is attached
2)
How many square feet of the gravel will surround the lawn:
Converting yards into feet:
1 yard =3 feet
So 80 yard =80(3) feet
=240 feet
and 150 yard =150 (3) feet
=450 feet
Area of rectangle is given by :length X width
Area of the outer border = (6+ 240+ 6 ) (6+ 450+6)
= 252 X 462
= 116424
Area of the lawn = 240 X 450
= 108000
Area of gravel border = 116424 - 108000
= 8424
Area of gravel border is 8424 ft^2
3)
Total volume when depth is 2 inches:
converting inches to feet:
1 inch= 0.083 feet
2 inches =0.1667 feet
volume = base area X depth
=8424 X 0.1667
= 1404
total volume of gravel needed for the border is 1404 ft^3
4)
Given:
A large bag of colored rock contains 5/8 of a cubic yard and costs $30
total cost of the rocks needed for the border=?
1 cubic yard = $30
converting cubic yard to cubic feet
1 cubic yard=27 cubic feet
cost of 1 cubic yard= cost of 27 cubic feet = $ 30
cost of 1 cubic feet=30/27
cost of 1404 cubic feet= 1404 X 30 / 27
= 1560
the total cost of the rocks needed for the border is $1560!
Answer:
w = 24
Step-by-step explanation:
= 15
Multiply both sides by 8.
5w = 15 × 8
= 120
Find w.
w = 120 ÷ 5
w = 24
Answer:
Mean = 1.5
Standard Deviation = 1.206
Step-by-step explanation:
Percentage of Siberian Huskies with two different colored eyes = p = 3% = 0.03
Sample size selected = n = 50
We have to find the mean and standard deviation of the number of puppies with two different colored eyes.
Either the puppies will have two different colored eyes or they won't. Sample size is fixed in this case which is 50. A puppy with two colored eyes is independent of other puppies, this means the trials are independent. The probability of success is fixed in this case which is 3%. This setting satisfies all 4 conditions of a Binomial experiment, so we will use the formula relevant to Binomial experiment to answer this question.
Mean number =
Using the values, we get:
Standard deviation of Binomial experiment is calculated as:
Using the values, we get: