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%.
Answer:
T(n) = [n(n + 1)] ÷ 2
Step-by-step explanation:
Sequence = 1, 3, 6
First term = 1
Second term = first term + 2 = 3
Third term = second term + 3 = 6
From the sequence :
Each successive term is doubled together with an increment of '1', that is;
Term 'n' : n(n + 1)
Then, the total is divided by the term 'n'.
Therefore, the nth term is expressed as
T(n) = [n(n + 1)] ÷ 2
For instance,
n = 1
T(1) = [1(1 + 1)] ÷ 2
T(1) = 1
n = 3
T(3) = [3(3 + 1)] ÷ 2
T(3) = 12 ÷ 2 = 6
.......
Answer:
-4
Step-by-step explanation:
<span>The simplest form of a fraction occurs when the numerator and denominator cannot get any smaller (while still being integers)
In the stadium there are 30 suites.
14 suites.............24 seats
16 suites..............18 seats
The suites with 24 seats are 14 out of 30 which can be represented as 14/30.
However, the simplest fraction would be
7*2 7
------- = ------
15*2 15
This is why Tyler is incorrect</span>
Answer:
<h2>3seconds</h2>
Step-by-step explanation:
If a ball thrown downward from a window in a tall building is modeled by the equation, s = 16t² + 32t where s in feet, in order to know the time it will take to fall a distance of 276, we will substitute s = 276feet into the equation and calculate for the value of t as shown;
276 = 16t² + 32t
16t² + 32t = 276
Dividing through by 4
4t² + 8t = 69
4t² + 8t - 69 = 0
Using the general formula to find t
t = -b±√b²-4ac/2a
a = 4, b = 8 and c = -69
t = -8±√8²-4(4)(-69)/2(4)
t = -8±√64+1104/8
t = -8±√1168/8
t = -8±34.176/8
t = -8+34.176/8 or -8-34.176/8
t = 3.272 or -5.272
neglecting the negative time, t = 3secs to the nearest seconds
It will take the all 3secs to fall 276 feets