Answer
the answer for problem number one is -8
Answer: x = 0, and y = -2
Step-by-step explanation:
-5x + y = -2 .........(1)
-3x + 6y = -12 ......(2)
From equation (1)
-5x +y = -2 .........(1)
y = 5x - 2 .............(3)
Now substitute for y in equation (2)
-3x + 6 (5x -2 ) = -12
Make use of 6 to open the bracket ,we now have
-3x + 30x - 12 = -12
= 27x - 12 = -12
Collect the like terms
27x = -12 + 12
27x = 0
Divide through by 27 to get the value of x
x = 0/27
x = 0
To determine y, substitute for x in equation (3)
y = 5x - 2
y = 5(0) - 2
y = 0 - 2
y = -2
Check : Substitute for x and y in equation (1)
-5x + y = -2
-5(0) + (-2) = -2
0 -2 = -2
0 - 2 = -2
Since both α and β are in the first quadrant, we know each of cos(α), sin(α), cos(β), and sin(β) are positive. So when we invoke the Pythagorean identity,
sin²(x) + cos²(x) = 1
we always take the positive square root when solving for either sin(x) or cos(x).
Given that cos(α) = √11/7 and sin(β) = √11/4, we find
sin(α) = √(1 - cos²(α)) = √38/7
cos(β) = √(1 - sin²(β)) = √5/4
Now, recall the sum identity for cosine,
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
It follows that
cos(α + β) = √11/7 × √5/4 - √38/7 × √11/4 = (√55 - √418)/28
Answer: 3 chewy fruit worms cost 0.30 dollars. 300 chewy fruit worms cost 30 dollars. you can buy 100 chewy fruit worms for 10 dollars. you can buy 500 chewy fruit worms for 50 dollars. the unit price for a chewy fruit worm is 0.10 dollars. The unit rate is 1:0.10.
Step-by-step explanation:
Answer:
The probability that a person likes the color blue given that they are a woman=0.25%
Step-by-step explanation:
We are given that
The probability that a women likes the color blue=10%=
The probability of being a women=40%=
We have to find the probability that a person likes the color blue given that they are a woman.
We know that
Conditional probability formula
The probability that a person likes the color blue given that they are a woman
=
Hence, the probability that a person likes the color blue given that they are a woman=0.25%
