Answer:
The number will be -63
Step-by-step explanation:
Here, we want to give the number of the chosen 25th student
We can see that the numbering follows an arithmetic sequence where a = 9 and d which is the common difference is (6-9) = -3
Mathematically, we can calculate the nth term using the equation below;
Tn = a + (n-1)d
in this case, n = 25, a = 9 and d = -3
So we have
Tn = 9 + (25-1)-3
Tn = 9 -3(24)
Tn = 9-72
Tn = -63
Hello :
y = 3x²+9x
= 3(x² + 3x )
= 3 ( x² +2(3/2)x +(3/2)²) -(3/2)²)
= 3((x+3/2)² -9/4)
y = 3 (x+3/2)² -27/4
<span>the x-coordinate of the vertex is : - 3/2</span>
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
From this study:
The null hypothesis:

The altenative is:

This test is a two-tailed test.
However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.
Then;


Similarly, the husbands have 18 success out of 46, then the number of failures will be 28
Then:


The pooled proportion 

p = 0.55357
The estimated standard error S.E is:

= 


= 0.0955
The Z test statitics can now be computed as:


Z = 2.88
Th p -value from the test statistics is:
p-value = 2P(Z > 2.88)
p- value = 2 P (1 - Z < 2.88)
p-value = 2 ( 1 - 0.998)
p-value = 2 ( 0.002)
p -alue = 0.004
Decision Rule:
Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)
Conclusion:
We conclude that there is a significant difference between the proportions.
Answer:
Height = 167.47 cm
Step-by-step explanation:
volume of one sphere = 4/3πr³ = 4/3(3.14)(4³) = 267.9467 cm³
267.9467 cm³ x 100 spheres = 26794.67 cm³
volume of cube = L x W x H
26794.67 = 16 x 10 x H
H = 167.47 cm