Answer:
75°
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle = ? = θ
Side length opposite to reference angle = 27
Hypotenuse length = 28
Apply SOH, which is:
Substitute
(nearest degree)
Answer:Just solve it. This is Algebra. Not that hard. Use Substation Method
Step-by-step explanation:
Answer:
84 ounces of pure gold
Step-by-step explanation:
Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?
Pure gold = 100% gold
Let the number of ounces of pure gold = x
Hence, we have the equation
40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces
= 0.4 × 60 + 1x = 0.75(60 + x)
= 24 + x = 45 + 0.75x
Collect like terms
x - 0.75x = 45 - 24
0.25x = 21
x = 21/0.25
x = 84 ounces
Therefore, we need 84 ounces of pure gold
Answer:
I think the other one is right
Step-by-step explanation:
Answer:
A and B are independent events if P(A ∩ B) = 0.06
Step-by-step explanation:
Two events A and B are independent if the probability of occurrence of A does not influence the occurrence of B.
Mathematically it is written that A and B are independent events if and only if:
P(A ∩ B) = P(A)P(B)
We know that:
P(A) = 0.20
P(B) = 0.30
Then A and B are independent if:
P(A ∩ B) = (0.20)(0.30)
P(A ∩ B) = 0.06
Finally A and B are independent events if P(A ∩ B) = 0.06
