The simplified form is 4m^5
Answer:
The <em>p-</em>value of the test is 0.106.
The null hypothesis will be accepted at 5% level of significance.
Step-by-step explanation:
The hypothesis test is left-tailed.
The test statistic value is: <em>z</em> = -1.25.
The significance level of the test is: <em>α</em> = 0.05.
The <em>p</em>-value of a left-tailed hypothesis test is:

The <em>p-</em>value of the test is 0.106.
**Use the <em>z-</em>table for the probability.
<u>Decision rule:</u>
If the <em>p</em>-value is less than the significance level the null hypothesis will be rejected and if it is more than the significance level the null hypothesis will be accepted.
The <em>p</em>-value = 0.106 > <em>α</em> = 0.05.
The null hypothesis will be accepted at 5% level of significance.
Area of the trapezoid=
1/2(b1+b2)×2
A=1/2(8+11)×12
A=1/2(19)×12
A=6×19
A=114 square meters. As a result, the area of the courtyard is 114 square meters. Hope it help!
The equation that can be used to determine the number of cells after x hours is; y = 0.5x + 30.
<h3>Linear model Equations</h3>
It follows from the task content that;
- The scientist starts with a sample of 30 bacteria cells, it follows that the intercept of the linear model is 30.
Additionally, since the number of bacteria cells increases by 50% every hour implies that the rate of change, slope of the equation is 0.5.
Hence, the required equation is; y = 0.5x + 30.
Read more on linear models;
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