Find the root y=x^2-8x+15
Answers
Answer:
{3, 5}.
Step-by-step explanation:
y = x^2 - 8x + 15
(x - 5)(x - 3) = 0
x - 5 = 0 or x - 3 = 0
So the roots are {3, 5}.
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Answers
Answers
common ratio is r
24 is 3rd term
a3=a1(6)^(3-1)=24
a1(6)^2=24
a1(36)=24
divide boh sides by 36
a1=2/3
therefor
Answers
Answer:
66 2/3 words per minute
Step-by-step explanation:
To convert 800 words in 12 minutes to a unit rate, you need to divide 800 and 12 by 12. Since 80012=2003=6623
12
800
=
3
200
=66
3
2
, then 800 words in 12 minutes = 6623words per minute
66
3
2
words per minute
.
Answers
Answer:
588,000,000.
Step-by-step explanation:
Inserting commas every 3 digits from the right, we have:
587,881,188 so that is 587 million and 881,000.
As 8 is the next digit after the 587 we add 1 to 587 to make 588 million.
Answers
Answer:
P ( 2 R , 4 O , 6 G ) = 0.0261
Step-by-step explanation:
Given:
- Red beans = 8
- Orange beans = 6
- Green beans = 9
Find:
What is the probability of reaching into the bag and randomly withdrawing 12 jellybeans such that the number of red ones is 2, the number of orange ones is 4, and the number of green ones is 6?
Solution:
- The question requires the number of selection of 12 jellybeans we can make from total available such that out of those 12 we choose 2 Red, 4 Orange and 6 Green.
- For selection we will use the combinations. So to choose 2 Red from 8; Choose 4 Orange from 6 and 6 green from 9 available. The number of possible outcomes with such condition is:
Outcomes ( 2 R , 4 O , 6 G ) = 8C2 * 6C4 * 9C6
= 28*15*84
= 35280
- The total number of outcomes if we randomly select 12 beans irrespective how many of each color we select from available 23 we have:
Outcomes ( Select 12 from 23 ) = 23C12
= 1352078
- Hence, the probability for the case is given by:
P ( 2 R , 4 O , 6 G ) = Outcomes ( 2 R , 4 O , 6 G ) / Outcomes ( Select 12 from 23 )
P ( 2 R , 4 O , 6 G ) = 35280 / 1352078 = 0.0261
Answers
Answer:
The answer is below
Step-by-step explanation:
The scale for the drawing is 1 inch = 40 feet.
The right angled triangle has legs of 3 inches and 4 inches. Using the scale, the length of the legs is:
3 inches = 3 inch * 40 feet / inch = 120 feet and 40 inches = 4 inch * 40 feet / inch = 160 feet.
The area of a right angled triangle is half the product of the two legs. Hence:
Area of right angled triangle = 1/2 * 120 feet * 160 feet = 9600 ft²
The rectangle with dimensions of 1.5 inches and 2.5 inches. Using the scale, the length of the sides is:
1.5 inches = 1.5 inch * 40 feet / inch = 60 feet and 2.5 inches = 2.5 inch * 40 feet / inch = 90 feet.
The area of a rectangle is the product of the two sides. Hence:
Area of rectangle = 60 feet * 90 feet = 5400 ft²