Answer:
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Step-by-step explanation:
The sample proportion is p2= 7/27= 0.259
and q2= 0.74
The sample size = n= 27
The population proportion = p1= 0.4
q1= 0.6
We formulate the null and alternate hypotheses that the new program is effective
H0: p2> p1 vs Ha: p2 ≤ p1
The test statistic is
z= p2- p1/√ p1q1/n
z= 0.259-0.4/ √0.4*0.6/27
z= -0.141/0.09428
z= -1.496
The significance level ∝ is 0.05
The critical region for one tailed test is z ≤ ± 1.645
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
The algebraic expression, if broken down into each word would be :
X^2/3 + 4.
127 = 100 +27
32 = 30 +2
so 127 x 32 = (100 + 27) x (30+2) = (100x30) + (100x2) + (27x30) +(27x2)
= 3000+200+810+54 = 4064
second way:
127 = 100 + 27
127 x 32 = (100+27) x 32 = (100x 32) + ( 27x32) = 3200 + 864 = 4064
Answer:
B. domain is all integers 0 through 9
Step-by-step explanation:
Domain values area usually plotted along the horizontal axis. In this case, the number of days is the domain of the of the function.
The domain of the function that is plotted on the graph ranges from 0, 1, 2 to 9.
1, 2, 3 to 9 are all integers. Therefore, we can conclude that the "domain is all integers 0 through 9."
Answer:
1 Original amount: 20
End amount: 15
<h3>(20 - 15)/20 x 100 = (5/20) x 100 = 25% decrease</h3>
2 Original amount: 30
End amount: 45
<h3>
(45 - 30)/30 x 100 = (15/30) x 100 = 50% increase </h3>
3 Original amount: 625
End amount: 550
<h3>
550/625 =550 ÷ 625 =0.88</h3><h3>
0.88 =0.88 × 100/100 =(0.88 × 100)/100 =88/100 =88% decrease</h3>
4 Original amount: 320
End amount: 112
<h3>
(112-320):320x100 =</h3><h3>
100 =(112:320-1)x100 =</h3><h3>
100 =35-100 = -65% decrease</h3>
5 Original amount: 165
End amount: 222.75
<h3>
165/222.75 =165 ÷ 222.75 ≈0.740740740740741</h3><h3>
0.740740740740741 =0.740740740740741 × 100/100 =(0.740740740740741 × 100)/100 ≈74.074074074074/100 =74.074074074074% ≈74.07% Increase </h3>
6 Original amount: 326
End amount: 423.80
<h3>
(423.8-326):326x100 =</h3><h3>
100 =(423.8:326-1)x100 =</h3><h3>
100 =130-100 = 30% Increase </h3>
7 Original amount: 27
End amount: 38.61
<h3>
(38.61-27):27x100 =</h3><h3>
100 =(38.61:27-1)x100 =</h3><h3>
100 =143-100 = 43% Increase</h3>
8 Original amount: 60
End amount: 70.02
<h3>
(70.02-60):60x100 =</h3><h3>
100 =(70.02:60-1)x100 =</h3><h3>
100 =116.7-100 = 16.7% Increase</h3>
