Answer:
Step-by-step explanation:
From the given information:
The null and the alternative hypothesis can be well written as:


Given that:
n = 200
x = 135
Alpha ∝ = 0.05 level of significance
Then;
⇒ 
= 200 × 0.6 × (1 -0.6)
= 200 × 0.6 × 0.4
= 48 ≥ 10
The sample proportion 

= 0.675
The test statistics 


Z = 2.165
The P-value = P(Z > 2.165)
= 1 - P(Z < 2.165)
From the z tables
= 1 - 0.9848
= 0.0152
Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).
Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6
Answer:
7
Step-by-step explanation:
You can divide both 14 and 21 by seven and get a whole number.
EF is tangent to the circle we'll assume; otherwise there's no progress.
Call the center C. ECD is isosceles, formed from two radii and the chord.
Angle CED is complementary to DEF
CED = 90 - 65 = 25 degrees
CDE is congruent, isosceles triangle and all that: CDE=25
That leaves DCE=180-25-25=130 degrees
That's the measure of arc DE as well:
Answer: 130 degrees, choice A
X=2 I believe but I need to keep typing to make it longer
Answer:
If it cuts x-axis 5 times.
Step-by-step explanation:
When we look at the graph of a function we can see its real roots by looking at its graph
The intersecting points that is the number of times a line cutting x-axis will be the real root of the function
So, by looking at the 5th degree function the number of time that function cuts x-axis will be the number of real roots.
So, if we need to say all the zeroes or roots of the function are real means it will cut the x-axis 5 times.
Because a function will have the root equal to its degree.