Answer:
cosθ = -√(35/36)
tanθ = -1/√35
Step-by-step explanation:
We know that
sin²θ + cos²θ = 1
(1/6)² + cos²θ = 1
1 - (1/6)² = cos²θ
35/36 = cos²θ
sec θ = 1/ cosθ
1/ secθ = cos θ
Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0
cosθ = -√(35/36)
tanθ = sinθ/cosθ = (1/6)/-√(35/36)
= (1/6) / -(√35/6)
= -1/√35
Answer:

Step-by-step explanation:

17 ÷ 2 = 8.5
8.5 as a mixed number is
.
Answer:
there is 21 boys
Step-by-step explanation:
hope that helps
Answer:
0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 49 minutes
Standard Deviation, σ = 16 minutes
We are given that the distribution of time an individual reads is a bell shaped distribution that is a normal distribution.
Formula:

P(no more than 30 minutes)

Calculation the value from standard normal z table, we have,

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.
Answer:
Slope is 5/3
y-intercept = -3
y = 5/3x - 3
Step-by-step explanation:
To find the slope, take to coordinates and use the equation below

7-2 = 5
6-3= 3
Now you have your slope which is 5/3
Then take the slope and input it into point slope form to get your y-intercept.
y-y₁=m(x-x₁)
y-2 = 5/3(x-3)
y-2=5/3x-5
add two to both sides to get Y by itself
y = 5/3x - 3
now you have your y-intercept, which is -3
Then check your answer by inputing two different coordinates for X and Y
7 = 5/3(6)-3
7=7
12= 5/3(9)-3
12=12