Answer:
.
Step-by-step explanation:
We have been given two sets as A: {71,73,79,83,87} B:{57,59,61,67}. We are asked to find the probability that both numbers are prime, if one number is selected at random from set A, and one number is selected at random from set B.
We can see that in set A, there is only one non-prime number that is 87 as it is divisible by 3.
So there are 4 prime number in set A and total numbers are 5.
We can see that in set B, there is only one non-prime number that is 57 as it is divisible by 3.
So there are 3 prime number in set B and total numbers are 4.
Now, we will multiply both probabilities to find the probability that both numbers are prime. We are multiplying probabilities because both events are independent.
Therefore, the probability that both numbers are prime would be .
Answer:
x = - 7, x = 1
Step-by-step explanation:
Given
x² + 6x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 7 + 9
(x + 3)² = 16 ( take the square root of both sides )
x + 3 = ± 
= ± 4 ( subtract 3 from both sides )
x = - 3 ± 4
x = - 3 - 4 = - 7
x = - 3 + 4 = 1
Solution set = { - 7, 1 }
Answer:
1/2
Step-by-step explanation:
There are 4 nickels, 2 dimes, and 6 quarters. That means a total of 12 coins, half of which are quarters.
(realistically, if she wanted to, she could probably get a quarter every time if she felt for the size)
17) let the unknown be x.
tanx = 3.5
x = tan⁻¹(3.5) use your calculator
x ≈ 74.05° x ≈ 74.1 to the nearest tenth
18)
tan 34 = x/20
20*tan34 = x
20*(0.6745) ≈ x
13.49 ≈x
x ≈ 13.49 x ≈ 13.5 to the nearest tenth
19) tan2° = 2/x
x = 2/tan2°
x = 2/0.0349
x ≈57.31 x ≈ 57.31 to the nearest tenth
20) tanx = 90
x = tan⁻¹(90) Use your calculator
x ≈ 89.36°
x ≈ 89.4° to the nearest tenth.
