Answer:
The null and alternative hypotheses are:
Under the null hypothesis, the test statistic is:
Where:
Now, we have to find the left tailed z critical value at 0.01 significance level using the standard normal table. The z critical value at 0.01 significance level is:
Conclusion: Since the test statistic does not fall in the critical region, therefore, we fail to reject the null hypothesis, and conclude that there is not sufficient evidence to say that the population proportion of women athletes who graduate from the university is now less than 67%.
<span>Make a the subject of the formula: ab-cd=ac hope this helps
Good luck.</span>
Answer:
-2.5
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-5
2
= -2.5
θ =
arctan( ΔY ) + 360°
ΔX
= 291.80140948635°
ΔX = 7 – 5 = 2
ΔY = -2 – 3 = -5
Distance (d) = √ΔX2 + ΔY2 = √29 = 5.3851648071345
Equation of the line:
y = -2.5x + 15.5
or
y =
- 5 x
2
+ 31
2
When x=0, y = 15.5
When y=0, x = 6.2
Answer:
Step-by-step explanation:
(7, 0) = (h, k), r = 3
Equation of circle in standard form is given as:
Substituting the values of h, k and r.
Which is the required equation of the circle.
Answer:
ΑΔΒ = ΒΔΑ because Δ stands for the difference between two numbers and the difference between two numbers doesn't change when switched to the other side.