Answer:
y=
Step-by-step explanation:
Notice for this problem, point(0,-5) and (5,1) is being given.
Use the formula (y2-y1)/(x2-x1)
(-5-1)/(0-5)
=6/5
This finds the slope of the function.
To find the y-intercept, it is where the graph first intercept the y-axis.
In this case, it intercept it at y=-5.
Thus, the answer is y=6/5x-5
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:
c. Not significant at .055
Step-by-step explanation:
When a pair of dice is rolled, we have 6²=36 possible outcomes. Only 2 of these outcomes have a total score of 11:
- When the first dice is 5 and the second is 6.
- When the first dice is 6 and the second is 5.
Then, we can calculate the probability of getting 11 as the quotient between the successs outcomes and the total outcomes.
Then, the probability of getting 11 is:
This probability is not equal or less than 0.05, so it is not significant at 0.055.
The answer is in the picture. To be honest, I am not 100% sure about it.