I got the answer by adding the triangles
Answer: C (0,2)
Step-by-step explanation: Y intercept is when the x value is equal to 0. Find the value in the table where the x value is 0 and then look at the h(x) value or the y value to find the answer. In this case the point where x=0 h(x) = 2.
Answer:
We <em>fail to reject H₀ </em>as there is insufficient evidence at 0.5% level of significance to conclude that the mean hours of TV watched per day differs from the claim.
Step-by-step explanation:
This is a two-tailed test.
We first need to calculate the test statistic. The test statistic is calculated as follows:
Z_calc = X - μ₀ / (s /√n)
where
- X is the mean number of hours
- μ₀ is the mean that the sociologist claims is true
- s is the standard deviation
- n is the sample size
Therefore,
Z_calc = (3.02 - 3) / (2.64 /√(1326))
= 0.2759
Now we have to calculate the z-value. The z-value is calculated as follows:
z_α/2 = z_(0.05/2) = z_0.025
Using the p-value method:
P = 1 - α/2
= 1 - 0.025
= 0.975
Thus, using the positive z-table, you will find that the z-value is
1.96.
Therefore, we reject H₀ if | Z_calc | > z_(α/2)
Thus, since
| Z_calc | < 1.96, we <em>fail to reject H₀ </em>as there is insufficient evidence at 0.5% level of significance to conclude that the mean hours of TV watched per day differs from the claim.
It's a good idea to get into the habit of using <u>parentheses</u> when substituting numbers in for variables.
Since <em>a = -3</em> and <em>x = 3</em>, 5a - x is 5(-3) - (3).
5(-3) is -15 and we have (-15) - 3 which simplifies to -18.
Answer:
end point of a segment X₂ = - 8 ; Y₂ = 21
Step-by-step explanation:
given;
midpoint = ( Mx = -4 , My = 13 )
endpoint ₁ = ( X₁ = 0 , Y₁ = 5 )
find the other endpoint ₂ ( X₂ , Y₂)
<u>use the mid point formula to get the other endpoint:
</u>
Mx = ( X₁ + X₂ ) / 2 My = ( Y₁ + Y₂ ) / 2
- 4 = (0 + X₂) / 2 13 = (5 + Y₂) / 2
-8 = 0 + X₂ 26 = 5 + Y₂
X₂ = -8 Y₂ = 21
