Answer:
The sample statistics follows a standard normal distribution since the sample size are large enough.
Step-by-step explanation:
Given that:
<u>First population:</u>
Sample size
= 49
Population standard deviation
= 3
Sample mean
= 10
<u>Second population:</u>
Sample size
= 64
Population standard deviation
= 4
Sample mean
= 12
The sample statistics follows a standard normal distribution since the sample size are large enough.
The null and alternative hypotheses can be computed as:


Level of significance = 0.01
Using the Z-test statistics;






Z = - 3.037
Z
- 3.04
The P-value = 2P (z < -3.04)
From the z tables
= 2 × (0.00118)
= 0.00236
Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses 
Answer:
The model for V(t) ,the number of views, t ,months after it's uploaded, best fits the data is 
Step-by-step explanation:
Time (months) Views
0 50
2 313
4 1950
6 12,210
8 76,300
10 476,800



Slope =131.5


Slope =818.5
Since the slope is not same . So, it is not a linear relationship

Since the ratio between the consecutive outputs is same so, it is exponential relationship.
Formula : 
Where a is the initial value = 50
b = rate of change = 6.25
The model for V(t) ,the number of views, t ,months after it's uploaded, best fits the data
So
Answer:
3.50$ x 5.5 = 19.25 $
Step-by-step explanation:
We have 2 angles that are supplementary, so their sum equals 180⁰.
(4x - 10) + (7x - 8) =180
11x - 18 = 180
11x = 198
x = 18
Answer:
Step-by-step explanation:
<u>Given trinomial</u>
Let's try to factor 4t² - 9t + 2
<u>First find it's zeros:</u>
- t = (9 ± √9² - 4*4*2)/(2*4)
- t = (9 ± √81 - 32)/8
- t = (9 ± 7)/8
- t = 2 and t = 1/4
<u>So yes, it is factorable:</u>
- 4t² - 9t + 2 = 4(t - 2)(t - 1/4)
- or
- 4t² - 9t + 2 = (t - 2)(4t - 1)
<u>The given trinomial factored:</u>