Answer:
(a) 0.12924
(b) Taking into consideration significance level of 0.05 yet the value of p is greater than 0.05, it suggests that the coin is fair hence the coin can be used at the beginning of any sport event.
Explanation:
(a)
n=200 for fair coin getting head, p= 0.5
Expectation = np =200*0.5=100
Variance = np(1 - p) = 100(1-0.5)=100*0.5=50
Standard deviation,
Z value for 108,
P( x ≥108) = P( z >1.13)= 0.12924
(b)
Taking into consideration significance level of 0.05 yet the value of p is greater than 0.05, it suggests that the coin is fair hence the coin can be used at the beginning of any sport event.
Answer:
C. Decrease your consumption of beef.
Explanation:
The production of beef needs lots of land, which leads to trees being cut down, releasing carbon dioxide. Also, the ruminant animals used to produce beef end up farting a lot from their diets, and these farts are of high metane, which leads to greenhouse gases being emitted in the athmosphere.
Common plant proteins, otherwise, produce way less of these gases.
So the correct answer is:
C. Decrease your consumption of beef.
In a morphological matrix, the parameters that are essential for a design are in the left column.
<h3>What is a morphological matrix?</h3>
The morphological matrix is a matrix where columns and rows represent the various parameters for solving a problem. The first column is used for the characteristics relevant to the problem; the horizontal lines are filled with possibilities for each of these parameters.
With this information, we can conclude that in a morphological matrix, the parameters that are essential for a project are in the left column.
Learn more about morphological matrix in brainly.com/question/21120930
The diameter of an 18 mm dine when expressed in micrometers is; 18000 micrometers
<h3>Conversion of Units</h3>
We are given the diameter of dime at 18 mm.
Now, from conversion of units between mm(millimeter) and micrometer, we know that;
1 millimeter = 1000 micrometer.
Thus, by proportion, 18 millimeter will be;
18 millimeters × 1000 micrometers/1 millimeter
>> 18000 micrometers
In conclusion, the diameter of the 18mm fine in micrometers is; 18000 micrometers
Read more about conversion of units at; brainly.com/question/8421470
Force P is 11304 N and normal stress is 400 N/mm²
<u>Explanation:</u>
Given-
Length, l = 9 m = 9000 mm
Diameter, d = 6 mm
Radius, r = 3 mm
Stretched length, Δl= 18 mm
Modulus of elasticity, E = 200 GPa = 200 X 10³MPa
Force, P = ?
According to Hooke's law,
Stress is directly proportional to strain.
So,
σ ∝ ε
σ = E ε
Where, E is the modulus of elasticity
We know,
ε = Δl / l
So,
σ = E X Δl/l
σ =

We know,
σ = P/A
And A = π (r)²
σ = P / π (r)²

Therefore, Force P is 11304 N and normal stress is 400 N/mm²