Answer:
p-value (0.0208) is less than alpha = 0.05 reject H0.
Step-by-step explanation:
we have the following data:
sample size = n = 75
x, the number to evaluate is 45
the sample proportion would be: x / n = 45/75
p * = 0.6
Now, the null and alternative hypotheses are:
H0: P = 0.72
Ha: P no 72
two tailed test
statistic tes = z = (p * - p) / [(p * (1-p) / n)] ^ (1/2)
replacing we have:
z = (0.6 - 0.72) / [(0.72 * (1-0.72) / 75)] ^ (1/2)
z = -2.31
p-vaule = 2 * p (z <-2.31)
using z table, we get:
p-vaule = 2 * (0.0104)
p-vaule = 0.0208
Therefore, p-value (0.0208) is less than alpha = 0.05 reject H0.
Answer:
D) Wavelength
Step-by-step explanation:
The correct answer is wavelength. Wavelength is defined as the distance between two identical points on the waves.
Amplitude is the maximum/minimum height reached by the wave. Frequency is defined as the number of waves passing through a point in 1 sec. Period or Time period is the reciprocal of Frequency and it represents time taken for the wave to complete its one cycle.
Therefore, from the given options, Wavelength is the best possible answer.
Answer:
y = 5x
Step-by-step explanation:
Form the equation:
y = 5 times x or y = 5x
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Answer:

Step-by-step explanation:
Every inscribed right triangle has its hypotenuse as the same size of the Diameter. Assuming that, this is the case check the picture below.
So the hypotenuse= D=2R=12
- Shaded Area = Area of the Circle- Area of the Triangle

Finding the Triangle base via the Pythagorean Theorem

Now plugging in the base of the triangle on that formula:

Finally,
Shaded Area =
Answer:
6x + 12
Step-by-step explanation:
4x + 2 (x + 6)
4x + 2x + 12
6x + 12