Answer:
z = 2.1784 > 1.96,
Reject the null hypothesis
Step-by-step explanation:
For the males:
n1 = 162, x1 = 63
P1 = x 1/ n1 = 0.3889
For the Females:
n2 = 333,
x2 = 97
P 2 = x2/n2
= 0.2913
P 1= P2 Null hypothesis
P 1 is not equal to P 2 alternative hypothesis
Pooled proportion:
P= (x1 + x2) /( n1+ n2)
= (63 + 97) / (162 + 333)= 0.3232
Test statistics :
Z= (p1 - p2) /√p(1-p)× (1/n1 + 1/n2)
0.3889- 0.2913 / √0.3232 × 0.6768 × (1/162 +1/333)
=2.1784
c) Critical value :
Two tailed critical value, z critical = Norm.S .INV (0.05/2) = 1.960
Reject H o if z < -1.96 or if z > 1.96
d) Decision:
z = 2.1784 > 1.96,
Reject the null hypothesis
9514 1404 393
Answer:
(t, u, w) = (1, -2, -2)
Step-by-step explanation:
A graphing calculator makes short work of this, giving the solution as ...
(t, u, w) = (1, -2, -2)
__
There are many ways to solve this "by hand." Here's one of them.
Add the first and third equations. Their sum is ...
-3t +4w = -11 . . . . . [eq4]
Add this to twice the second equation. That sum is ...
(-3t +4w) +2(-4t -2w) = (-11) +2(0)
-11t = -11
t = 1
Substituting this into the second equation gives ...
-4(1) -2w = 0
w +2 = 0 . . . . divide by -2
w = -2 . . . . add -2
Substituting for t in the third equation lets us find u.
2(1) -2u = 6
-1 +u = -3 . . . . . divide by -2
u = -2 . . . . add 1
The solution is (t, u, w) = (1, -2, -2).
Answer:
Rita's pay for Monday is $158.
Step-by-step explanation:
Rita's hourly pay for an 8-hour shift she works everyday is, $16.
If she works overtime she gets paid 1.5 times her hourly pay for every extra hour.
That is, if she works (8 + <em>x</em>) hours a day then the pay for the <em>x</em> hour is, 1.5<em>x</em>.
Rita's working hours on Monday is:
- Started from 8:15 AM to 12:45 PM ⇒ 4 hours 30 minutes.
- 45 minutes lunch break ⇒ 12:45 PM + 45 minutes = 1:30 PM
- Worked from 1:30 PM to 6:15 PM ⇒ 4 hours 45 minutes
It is provided that Rita does not get paid for lunch hour.
Rita's pay for Monday is computed as follows:
= (8:15 AM - 12:45 PM) + (1:30 PM - 6:15 PM)
= (4 hours 30 minutes) + (4 hours 30 minutes)
= (4 + 4) hours + (30 + 45) minutes
= (8 × 16) + (75 minutes × 16 × 1.5)
= 128 + (1.25 hours × 24)
= 128 + 30
= 158
Thus, Rita's pay for Monday is $158.
Graham: -50x + 14,040
Max: 20x + 12,500
Graham = Max
-50x + 14,040 = 20x + 12,500
<u>+50x </u> <u>+50x </u>
14,040 = 70x + 12,500
<u> -12,500 </u> <u> -12.500 </u>
1,540 = 70x

220 = x
Answer: 220 minutes <em>(3 hours 40 minutes)</em>