Answer:
D) The manager should fail to reject the null hypothesis; there is not enough evidence to conclude that the number of unique daily listeners has changed.
Step-by-step explanation:
The scenario indicates the null hypotheses and alternative hypotheses are
Null hypotheses: The number of unique daily listeners hasn't changed.
Alternative hypotheses: The number of unique daily listeners has changed.
The null hypothesis is rejected if the calculated p-value is less significance level.
We are given that p-value is 0.0743 and confidence level=0.95.
Significance level =α=1-0.95=0.05.
As we can see the p-value is greater than significance level, so, we fail to reject the null hypotheses at 5% significance level.
Thus, we conclude at the 95% confidence level that the manager should fail to reject the null hypothesis; there is not enough evidence to conclude that the number of unique daily listeners has changed
5 inch is the width, 8 inch is the length.
Find to scale between the two widths:
10 /5 = 2 the larger photo is 2 times larger,
Multiply the known length by 2:
8 x 2 = 16
The length would be 16
With these transversals across parallel lines the angles are either congruent or supplementary (adding to 180) and its pretty easy to figure out which is which, obtuse verse acute in the figure.
Each yellow circle indicates x and the path to the next square. So for example the Start has alternate interior angles, which are congruent, so x is 141 degrees.
Answer:
V = 603.43 cm³
Step-by-step explanation:
V = πr²h
Where r = 4 cm, h = 12 cm
V = 22/7 × 4² × 12
V = 22/7 × 4 × 4 × 12
V = 4224/7
V = 603.43 cm³
Answer:
The maximum height of the ball is 256m
Step-by-step explanation:
Given the equation of a pathway modelled as pathway can be modeled by h = -16t² + 128t
At maximum height, the velocity of the ball is zero.
velocity = dh/dt
velocity = -32t + 128
Since v = 0 at maximum height
0 = -32t+128
32t = 128
t = 128/32
t = 4seconds
The maximum height can be gotten by substituting t = 4 into the modelled equation.
h = -16t² + 128t
h = -16(4)²+128(4)
h = -16(16)+512
h = -256+512
h = 256m
