Answer:
2/15.
Step-by-step explanation:
The prime numbers in the first 10 numbers are: 2, 3, 5, 7 . That is a total of 4.
Prob( first number drawn is prime) = 4/10 = 2/5.
Prob( second number drawn is prime) = 3/9 = 1/3.
Required probability is 2/5 * 1/3
= 2/15.
Answer:
First, find the area of the surface of the shed. Two walls will have an area of 14 x 8 and two walls will have an area of 18 x 10. We get the equation 2(14x8) + 2(10x8) = 224 + 160 = 384 square feet
Next, divide the square footage of the shed's surface by 250 to find how many gallons of paint are needed. 384/250 = 1.54 gallons of paint (rounded to the nearest hundredth)
For the triangle questions, remember that the area of a triangle is 
Select every number from -8 to -4 since
-8/-2=4 so we can’t go any bigger since it’s already at 4
Making k equivalent to -8
Answer:
A
B
E
Step-by-step explanation:
If you find what 11 squared is: 121
All number greater than or equal to 121 will be solutions.
Answer:
7 years 11 months
Step-by-step explanation:
The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...
FV = P(1 +r/n)^(nt)
For the given numbers, we want to find t:
6000 = 3700(1 +.062/2)^(2t)
Dividing by 3700 and taking the logarithm, we get ...
6000/3700 = 1.031^(2t)
log(60/37) = 2t·log(1.031)
Dividing by the coefficient of t gives ...
t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years
It will take about 7 years 11 months for the investment to grow to $6000.